Evaluate the expression. ( 83 82​ )

Answers

Answer 1

The value of the expression \(\binom{83}{82}\) is equal to 83.

To evaluate the expression \(\binom{83}{82}\), we use the concept of binomial coefficients, also known as combinations.

The binomial coefficient \(\binom{n}{k}\) represents the number of ways to choose \(k\) items from a set of \(n\) items, without considering the order of selection. It can be calculated using the formula:

\(\binom{n}{k} = \frac{n!}{k!(n-k)!}\)

In our case, we have \(n = 83\) and \(k = 82\). Substituting these values into the formula, we get:

\(\binom{83}{82} = \frac{83!}{82!(83-82)!}\)

Since \(83-82 = 1\), the expression simplifies to:

\(\binom{83}{82} = \frac{83!}{82!}\)

The factorial notation \(n!\) represents the product of all positive integers from 1 to \(n\). We can further simplify the expression by canceling out the common factors:

\(\binom{83}{82} = \frac{83!}{82!} = \frac{83 \times 82!}{82!} = 83\)

Therefore, the value of the expression \(\binom{83}{82}\) is equal to 83.

Learn more about expression here

https://brainly.com/question/1859113

#SPJ11

[tex]\(\binom{n}{k} = \frac{n!}{k!(n-k)!}\)[/tex]

[tex]\(\binom{83}{82} = \frac{83!}{82!(83-82)!}\)[/tex]


Related Questions

What is 6×6 to the second power -3 to the second power

Answers

Answer:

207

Step-by-step explanation:


A data scientist is training a word recognition bot to learn how to produce content in the English languageThe bot was initially given 100 common English words to learnThe data scientist notices that the bot learns 3 new words for every 1 it already knew each day.

a. Create an exponential equation for the number of words, w, the bot learns after d days. (1 pt)

b. How long will it take for the bot to learn a novel with 218,700 unique words? (1pt)

Answers

a. The exponential equation for the number of words the bot learns after d days is w = 100 * (3^d).

b. It will take the bot approximately 7 days to learn a novel with 218,700 unique words.

a. To create an exponential equation for the number of words, w, the bot learns after d days, we need to consider that the bot learns 3 new words for every 1 it already knew each day.

Let's assume the initial number of words the bot knew is 100. Then, for each day, the number of words learned can be expressed as 3 times the number of words already known. This can be written as:

w = 100 * (3^d)

So, the exponential equation for the number of words the bot learns after d days is w = 100 * (3^d).

b. To determine how long it will take for the bot to learn a novel with 218,700 unique words, we can substitute this value into the equation and solve for d.

218,700 = 100 * (3^d)

Dividing both sides of the equation by 100 gives:

2187 = 3^d

To solve for d, we need to take the logarithm base 3 of both sides:

log3(2187) = d

Using a calculator, we find that log3(2187) is approximately 7.

Therefore, it will take the bot approximately 7 days to learn a novel with 218,700 unique words.

for such more question on exponential equation

https://brainly.com/question/30913833

#SPJ8

Write the partial fraction decomposition of the rational expression. (x³+x²+4)/(x²+7)²

Answers

The given rational expression (x³ + x² + 4) / (x² + 7)² is decomposed into partial fractions as follows: (x - 7) / (49 (x² + 7)) - (2x + 15) / (49 (x² + 7)²).

The given rational expression is:(x³ + x² + 4) / (x² + 7)²

To decompose this rational expression into partial fractions, we will start by finding the factors of the denominator.

Therefore, let’s factor the denominator of the given rational expression.(x² + 7)² = (x² + 7) (x² + 7)

We get the following partial fraction decomposition of the given rational expression:

(x³ + x² + 4) / (x² + 7)² = (Ax + B) / (x² + 7) + (Cx + D) / (x² + 7)²

If we take a common denominator on the right side, then we get the following equation:

(Ax + B) (x² + 7) + (Cx + D) = (x³ + x² + 4)

By simplifying the right-hand side of the above equation, we get:

(Ax² + 7A + C) x² + (Bx + D + 7Cx) = x³ + x² + 4

On comparing the coefficients of x², x, and constants, we get the following system of four equations:

(1)) A + C = 1

(2) 7A + 7C + D = 1

(3) B + 7C = 0(4) 7A + D = 4

Solving these equations, we get the values of the unknown coefficients as follows:A = 1/49, B = -7/49, C = -2/49, and

D = 15/49Therefore, the partial fraction decomposition of the given rational expression is as follows:

(x³ + x² + 4) / (x² + 7)²

= (x - 7) / (49 (x² + 7)) - (2x + 15) / (49 (x² + 7)²

The given rational expression (x³ + x² + 4) / (x² + 7)² is decomposed into partial fractions as follows: (x - 7) / (49 (x² + 7)) - (2x + 15) / (49 (x² + 7)²).

To know more about denominator visit:

brainly.com/question/15007690

#SPJ11

in the san diego of an alternate universe, ice-squids are known to randomly rain down from the sky every 2 years on average. what is the probability that no ice-squids rain down from the sky in the ten-year period starting in 2024? show your work.

Answers

The probability of no ice-squids raining down from the sky in the ten-year period is approximately 0.135.

To calculate the probability, we need to use the Poisson distribution since the occurrence of ice-squids follows a random process with an average rate. The average rate of ice-squids raining down from the sky is 1 per 2 years.

The Poisson distribution is given by the formula:

P(x; λ) = (e^(-λ) * λ^x) / x!

Where P(x; λ) is the probability of x events occurring in a given time period with an average rate of λ.

In this case, we want to calculate the probability of no ice-squids raining down in a ten-year period. We can convert the average rate from years to the ten-year period by multiplying it by 10. So, λ = 1/2 * 10 = 5.

Substituting λ = 5 and x = 0 into the Poisson distribution formula, we get:

P(0; 5) = (e^(-5) * 5^0) / 0!

Since 0! is equal to 1, the formula simplifies to:

P(0; 5) = e^(-5) ≈ 0.00674.

Therefore, the probability of no ice-squids raining down in the ten-year period is approximately 0.00674 or 0.135 when expressed as a percentage.

In other words, there is a 13.5% chance that no ice-squids will rain down from the sky in the ten-year period starting in 2024 in the alternate universe of San Diego.

Learn more about  probability here:

brainly.com/question/31828911

#SPJ11

William Beville's Computer Training School in Richmond stocks notebooks for sale and would like to reduce its inventory cost by determining the optimal number of notebooks to order in each order. The ordering cost for each order is $27. The annual demand is 19455 units. The annual cost of holding each unit is $6. Each notebook costs $12. The school has a year of 250 working days. When a new order of notebooks is made, the supplier takes 4 days to deliver it.1. What inventory management model should we use to solve this problem?
Model Economic Quantity to Order
Model for discount purchases
Model Economic Quantity to Produce
Model to handle dependent demand
2. What is the optimal number of notebooks to make in each order? 3. What is the annual ordering cost (AOC)? 4. What is the Annual Holding Cost (AHC)? 5. What is the annual product cost (APC)? 6. What is the annual total cost of managing inventory (ATC) 7. What would be the total number of orders in the year (N)? 8. What would be the estimated time between each order (T)? 9. What is the daily demand? 10. What is the reorder point (ROP)? ____
units.

Answers

The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model. The optimal number of notebooks to make in each order is 590 units. The annual ordering cost (AOC) is approximately $892.20. The Annual Holding Cost (AHC) is $3540. The annual product cost (APC) is $233,460. The annual total cost of managing inventory (ATC) is approximately $237,892.20. The total number of orders in the year (N) is 33. The estimated time between each order (T) is approximately 7.58 days. The daily demand is approximately 77.82 units. The reorder point (ROP) is approximately 311 units.

The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model.

To find the optimal number of notebooks to make in each order, we can use the EOQ formula:

EOQ = √[(2 * Demand * Ordering Cost) / Holding Cost]

EOQ = √[(2 * 19455 * 27) / 6]

EOQ ≈ 589.96

Since the number of notebooks must be a whole number, the optimal number to order would be 590 notebooks.

The annual ordering cost (AOC) can be calculated by dividing the annual demand by the EOQ and multiplying it by the ordering cost:

AOC = (Demand / EOQ) * Ordering Cost

AOC = (19455 / 590) * 27

AOC ≈ $892.20

The Annual Holding Cost (AHC) is calculated by multiplying the EOQ by the holding cost per unit:

AHC = EOQ * Holding Cost

AHC = 590 * 6

AHC = $3540

The annual product cost (APC) is calculated by multiplying the annual demand by the cost per unit:

APC = Demand * Cost per unit

APC = 19455 * 12

APC = $233,460

The annual total cost of managing inventory (ATC) is the sum of the annual ordering cost, annual holding cost, and annual product cost:

ATC = AOC + AHC + APC

ATC = 892.20 + 3540 + 233460

ATC ≈ $237,892.20

The total number of orders in the year (N) can be calculated by dividing the annual demand by the EOQ:

N = Demand / EOQ

N = 19455 / 590

N ≈ 33

The estimated time between each order (T) can be calculated by dividing the number of working days in a year by the total number of orders:

T = Number of working days / N

T = 250 / 33

T ≈ 7.58 days

The daily demand is calculated by dividing the annual demand by the number of working days in a year:

Daily Demand = Demand / Number of working days

Daily Demand = 19455 / 250

Daily Demand ≈ 77.82 units/day

The reorder point (ROP) is the number of units at which a new order should be placed. It can be calculated by multiplying the daily demand by the lead time (time taken for the supplier to deliver the order):

ROP = Daily Demand * Lead Time

ROP = 77.82 * 4

ROP ≈ 311.28 units

Therefore, the reorder point would be approximately 311 units.

To know more about Model Economic Quantity,

https://brainly.com/question/29489377

#SPJ11

answer this question

Answers

Answer:

Step-by-step explanation:

no

A scatterplot of statistics student's ages versus heights shows a random pattern, similar to the scatterplot shown in the lesson, Which r-value would best fit this data set? Select one O a. r=-372 Ob. r=1 O.c. +0.008 Od. r=0.5 A scatterplot of statistics student's ages versus heights shows a random pattern, similar to the scatterplot shown in the lesson. Which r-value would best fit this data set? Select one O &. r=-372 Ob ret Or-0.008 Od. r=0.5

Answers

The r-value that would best fit this data set is r = 0.

If the scatterplot of statistics students' ages versus heights shows a random pattern, it suggests that there is no apparent linear relationship between the two variables. In this case, the best r-value that represents the lack of correlation would be close to zero.

The correlation coefficient, denoted by r, measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

When the scatterplot shows a random pattern, it implies that there is no consistent trend or relationship between the ages and heights of the statistics students.

This lack of pattern indicates that the r-value should be close to zero, indicating no significant correlation between the variables.

Options a (-372), b (1), and c (+0.008) are unlikely to be the best fit for the data set since they indicate strong positive or negative correlations, which contradict the random pattern observed in the scatterplot.

Option d (r = 0.5) suggests a moderate positive correlation, which does not align with the random pattern in the scatterplot.

Therefore, the most appropriate choice is:

d. r = 0

This value indicates no or very weak correlation, which aligns with the random pattern observed in the scatterplot.

To know more about Correlation refer here:

https://brainly.com/question/22085260#

#SPJ11

Find all values of the given quantity. (−i) 4i
,n=0,±1,±2,…

Answers

The values of (-i)(4i), n=0, ±1, ±2, ... are all equal to 1 and all the values are found using Euler's formula.

To find the values of the given quantity, we can use Euler's formula, which states that e(ix) = cos(x) + i sin(x). We can write (-i)(4i) as (e(iπ/2))(4i), since i = e(iπ/2).Using this, we get:

(-i)(4i) = (e(iπ/2))(4i) = e(iπ/2 * 4i) = e(2πin)

where n = 2i

Since n can take on any integer value, we can find the values of (-i)(4i) for n = 0, ±1, ±2, ... as follows:

n = 0: (-i)(4i) = e(2πi*0) = 1

n = 1: (-i)(4i) = e(2πi*1) = e(2πi) = 1

n = -1: (-i)(4i) = e(2πi*(-1)) = e(-2πi) = 1

n = 2: (-i)(4i) = e(2πi*2) = e(4πi) = 1

n = -2: (-i)(4i) = e(2πi*(-2)) = e(-4πi) = 1

Therefore, the values of (-i)(4i), n=0, ±1, ±2, ... are all equal to 1.

To know more about Euler's formula refer here:

https://brainly.com/question/24300924

#SPJ11

A fundraiser for a school sells hoodies and track pants. Hoodies sell for $60 and track pants sell for $40. The school wants to raise at least $2000. a) Write an inequality that models the situation. b) Graph the inequality. c) Give a combination of hoodies and track pants that satisfies the inequality.

Answers

a) Let's suppose that the number of hoodies sold be x and the number of track pants sold be y.The inequality that models the situation is:60x + 40y ≥ 2000b) Now let's represent the inequality in a graph.The inequality 60x + 40y ≥ 2000 can be represented as a line in a graph.

We will replace the inequality with the equation 60x + 40y = 2000 to draw the line.x-intercept: To find the x-intercept, put y = 0 in the equation.60x + 40(0) = 2000=> x = 2000/60=> x = 33.33 (approx)Therefore, the x-intercept is (33.33, 0).y-intercept: To find the y-intercept, put x = 0 in the equation.

60(0) + 40y = 2000=> y = 2000/40=> y = 50Therefore, the y-intercept is (0, 50).c) There are different combinations of hoodies and track pants that satisfy the inequality.

To know more about number visit:

https://brainly.com/question/3589540

#SPJ11

Compare the similarities and differences between
binomial distribution and hypergeometric distribution. Use a chart
or point form to illustrate.

Answers

The binomial distribution and hypergeometric distribution are probability distributions utilized for modeling random experiments, but they vary in sampling methods and underlying assumptions.

Binomial Distribution:

The binomial distribution is used when the following conditions are met:

- There are a fixed number of independent trials.

- Each trial has two possible outcomes (success or failure).

- The probability of success remains constant for each trial.

- The trials are independent of each other.

Hypergeometric Distribution:

The hypergeometric distribution is used when the sampling process is without replacement. It is applicable when the following conditions are met:

There is a finite population of items.

The population is divided into two groups (e.g., defective and non-defective).

The goal is to calculate the probability of obtaining a certain number of successes (e.g., defective items) in a sample of a fixed size without replacement.

Comparison:

The main difference between the binomial distribution and hypergeometric distribution lies in the sampling process. The binomial distribution assumes independent trials with replacement, meaning that after each trial, the item is put back into the population before the next trial. In contrast, the hypergeometric distribution assumes dependent trials without replacement, where the item is not returned to the population after each trial.

In the binomial distribution, the probability of success remains constant throughout the trials, while in the hypergeometric distribution, the probability changes as items are drawn from the finite population.

To summarize, while both distributions are used to model random experiments, the binomial distribution is used when trials are independent with replacement, and the hypergeometric distribution is used when trials are dependent without replacement.

Learn more about Binomial distribution

brainly.com/question/31197941

#SPJ11

A biased die is rolled 500 times and the number 6 came up 83 times. a) What is the experimental probabtlity of a 6 occurring? a․ Zmariar b) What are the odds of the number 6 coming up in this experimenf? b. c) If the odds thar a three will come top 12 times in 72 rolis of a die, what is probability that a three would aome up?

Answers

The experimental probability of a 6 occurring is 0.166 or 16.6%.

a) Experimental probability

The experimental probability is the ratio of the number of times an event occurred to the total number of trials performed.

The probability of rolling a six is:

Experimental probability (E) = Number of favorable outcomes/Total number of trials

E = 83/500E = 0.166 = 16.6%.

Therefore, the experimental probability of a 6 occurring is 0.166 or 16.6%.

b) The odds of an event occurring is the ratio of the number of ways an event can occur to the number of ways an event cannot occur. The odds of rolling a six can be found as follows: Odds = Number of ways an event can occur : Number of ways an event cannot occur Odds = 83 : 417

Odds = 0.199 : 1

Therefore, the odds of the number 6 coming up in this experiment are 0.199 : 1.

c) If the odds that a three will come up 12 times in 72 rolls of a die, the odds of a three coming up in one roll are:

Odds = 12 : 72

Odds = 1 : 6

The probability of a three coming up in one roll is 1/6 or 0.1667.

To know more about experimental probability, visit:

https://brainly.com/question/3733849

#SPJ11

The heights of the starting players on each of two basketball teams are shown in the table below.

Heights of Starters on Team A and Team B

Team A

70 in.

72 in.

75 in.


68 in.

70 in.

Team B

71 in.


73 in.

71 in.

72 in.

73 in.

Jacob found that the mean height of Team A is 71 and the mean height of Team B is 72. He believes that because Team B has a greater mean, it also has a greater mean absolute deviation. Which explains Jacob’s error?
One of the means is incorrect, but the reasoning is correct.
Both of the means are incorrect, and the reasoning is also incorrect.
Both of the means are correct, but the reasoning is incorrect.
One of the means is incorrect, and the reasoning is also incorrect.

Answers

Answer:

Jacob's error is due to incorrect reasoning, not incorrect means. Therefore, the correct option is c) Both of the means are correct, but the reasoning is incorrect

Step-by-step explanation:

The mean height of Team A is 71 inches and that of Team B is 72 inches, but the mean absolute deviation cannot be determined by simply comparing means. MAD is calculated by finding the average of the absolute differences between each data point and the mean. It is a measure of variability, not the central tendency. Therefore, having a higher mean does not necessarily mean a greater MAD, and vice versa.

MAD = Mean Absolute Deviation

An old survey of Toronto adults asked, "Do you buy clothing from your cell phone?" The results indicated that 59% of the females and 48% of the males answered yes. Suppose that in a new survey by THE BAY, 101 of 160 females reported YES they buy clothing from their cell phone, while 79 of 140 males reported YES also. FIND the critical value(s) for performing the test on the BAY data that the proportion (1) of females who purchase clothing from their cell phone is greater than the proportion (2) of males who purchase clothing from their cell phone if α = 0.10 HINT: DRAW A PICTURE! O The critical value(s) The critical value(s) The critical value(s) The critical value(s) 1.2816 -1.2816 ± 1.6449 ± 1.9600

Answers

The critical value is ± 1.645 (for two-tailed test).Hence, option (B) is correct.

Given:

Results of an old survey of Toronto adults indicated that 59% of the females and 48% of the males buy clothing from their cell phone.

In a new survey by THE BAY, 101 of 160 females reported YES they buy clothing from their cell phone, while 79 of 140 males reported YES also

To find:

The critical value(s) for performing the test on the BAY data that the proportion

(1) of females who purchase clothing from their cell phone is greater than the proportion

(2) of males who purchase clothing from their cell phone if α = 0.10.

Critical value:

We know that:Z = (p₁ - p₂) / √(p(1 - p)(1/n₁ + 1/n₂))

Where,

p₁ = proportion of females who purchase clothing from their cell phone.

p₂ = proportion of males who purchase clothing from their cell phone.

p = proportion of total population (p = (p₁n₁ + p₂n₂) / (n₁ + n₂))n₁ = 160, n₂ = 140α = 0.1

Therefore,α/2 = 0.05 (Two-tailed test)

So, the critical value = z_α/2Where,z_0.05 = 1.645 (from standard normal distribution table)

Thus, the critical value is ± 1.645 (for two-tailed test).Hence, option (B) is correct.

To know more about critical value, click here:

https://brainly.com/question/32607910

#SPJ11

Marvin is buying a watch from his brother
for $170. His brother tells him that he
can pay $50 down and the rest in 10
equal installments.

Answers

Marvin will make 10 equal installments of $12 each to pay off the remaining balance of the watch.

Marvin is buying a watch from his brother for $170.

His brother offers him a payment plan where Marvin can make a $50 down payment and pay the remaining amount in 10 equal installments.

To calculate the amount of each installment, we first need to determine the remaining balance after the down payment.

Remaining balance = Total price of the watch - Down payment

Remaining balance = $170 - $50

Remaining balance = $120.

Since Marvin will pay the remaining balance in 10 equal installments, we can divide the balance by the number of installments to find the amount of each installment.

Amount of each installment = Remaining balance / Number of installments

Amount of each installment = $120 / 10

Amount of each installment = $12

Therefore, Marvin will make 10 equal installments of $12 each to pay off the remaining balance of the watch.

1In summary, Marvin will make a $50 down payment and then pay $12 per month for 10 months to complete the payment of the watch.

For similar question on balance.

https://brainly.com/question/29473582  

#SPJ8

Determine the interval of convergence for the power series, ∑ n=0
[infinity]
m−3(n+1) (x−4) n
5 n
(b) Consider the power series, g(x)=∑ n=0
[infinity]
c n
(x+3) n
. Suppose we know that (as series) g(5),g(−14), and g(11), diverge, while (again, as series) g(−11),g(1), and g(−4) converge. Determine the rudius of convergence of the power series for g ′′
(x). Precisely name the result(s) (with the names from the lesson videos) that you use,

Answers

The interval of convergence for the power series in (a) is (4-5/m, 4+5/m), and the radius of convergence for g''(x) in (b) is the same as the radius of convergence for g(x) determined by the convergence and divergence of specific values.

(a) To determine the interval of convergence for the power series ∑[n=0]∞ [tex]m^(-3(n+1))(x-4)^n/(5^n)[/tex], we can use the ratio test. Applying the ratio test, we find that the series converges if the absolute value of the ratio [tex]m^(-3(n+2))(x-4)^(n+1)/(5^(n+1))[/tex] is less than 1. Simplifying this inequality gives |m(x-4)/5| < 1. Therefore, the interval of convergence is determined by the condition -5/m < x-4 < 5/m. Thus, the interval of convergence is (4-5/m, 4+5/m).

(b) Since g(x) is a power series, its derivatives can be obtained term by term. We differentiate g(x) twice to obtain g''(x). The radius of convergence of g''(x) is the same as the radius of convergence of g(x). Therefore, the radius of convergence for g''(x) is the same as the radius of convergence for g(x), which is determined by the convergence of g(5), g(-14), and g(11), and the divergence of g(-11), g(1), and g(-4).

To know more about interval of convergence,

https://brainly.com/question/31401345

#SPJ11

According to Reader's Digest, 39% of primary care doctors think their patients receive unnecessary medical care. Use the z-table a. Suppose a sample of 340 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(P): op (to 2 decimals) (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals.. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why?

Answers

A) The formula for standard error is standard deviation / sqrt(n)standard error (to 4 decimals) = 0.0252/ sqrt(340) = 0.0013

B) Probability that the sample proportion will be within ±0.03 of the population proportion is 0.9796

C) Probability that the sample proportion will be within ±0.05 of the population proportion is 1

D) The probabilities in parts (b) and (c) will increase, and the confidence in the results will increase as well.

a) E(P): op = 0.39 and Standard error of the proportion (to 4 decimals) = 0.0252

Given, p = 0.39n = 340

Sample proportion = p = 0.39

The mean of the sampling distribution is equal to the population proportion; hence the mean is p = 0.39.

The standard deviation of the sampling distribution of the proportion is given by the formula sqrt [p (1-p) /n].

standard deviation (to 4 decimals) = sqrt [0.39 x 0.61 / 340] = 0.0252

The formula for standard error is standard deviation / sqrt(n)standard error (to 4 decimals) = 0.0252/ sqrt(340) = 0.0013

b) P(0.36< p < 0.42) = P(z< (0.42-0.39)/0.0013) - P(z< (0.36-0.39)/0.0013) = P(z<2.31) - P(z<-2.31) = 0.9898 - 0.0102 = 0.9796

Probability that the sample proportion will be within ±0.03 of the population proportion is 0.9796

c) P(0.34< p < 0.44) = P(z< (0.44-0.39)/0.0013) - P(z< (0.34-0.39)/0.0013) = P(z<3.85) - P(z<-3.85) = 1 - 0 = 1

Probability that the sample proportion will be within ±0.05 of the population proportion is 1

d) As we take larger sample sizes, the standard error decreases, which means the spread of the sampling distribution decreases. Therefore, the probabilities in parts (b) and (c) will increase, and the confidence in the results will increase as well.

To know more about standard error, please click here:

https://brainly.com/question/32854773

#SPJ11

Evaluate and show all necessary solutions. √√x-3x²-5x-7 √√√x5 1. f 2. S 3. S 4. e3m -3m +e S 5. S 1+cos √1-cosr e3m. -3m ∙e dx √x cos² √x (1+In²sec√x) dx : dm ² dr ds s² cos²25-16tan²²

Answers

The given expression is x^(43/20) - 3x^(41/20) - 5x^(41/20) - 7x^(41/20).

The given terms are:
1. f
2. S
3. S
4. e3m -3m +e S
5. S
The given expression is:
√√x-3x²-5x-7 √√√x5 1. f 2. S 3. S 4. e3m -3m +e S 5. S 1+cos √1-cosr e3m. -3m ∙e dx √x cos² √x (1+In²sec√x) dx : dm ² dr ds s² cos²25-16tan²²
Simplifying the expression, we get;

√√x - 3x² - 5x - 7√√√x⁵

=√(x^2 * x^(1/2)) * √(x^(1/2) * x^(1/2) * x^(1/2) * x^(1/2) * x^(1/2))

=(x * x^(1/4)) * (x^(1/10))

=x^(21/20)

Now, the given expression is reduced to:
f 2. S 3. S 4. e3m -3m +e S 5. S 1 + cos√1-cosr e3m -3m ∙e dx √x cos²√x (1 + In²sec√x) dx : dm ² dr ds s² cos²25 - 16tan²²

= √x(x - 3x² - 5x - 7) * x^(21/20)√x(x - 3x² - 5x - 7) * x^(21/20)

= x^(43/20) - 3x^(41/20) - 5x^(41/20) - 7x^(41/20)

The given expression is x^(43/20) - 3x^(41/20) - 5x^(41/20) - 7x^(41/20).

To know more about expression visit:

https://brainly.com/question/28058531

#SPJ11

(c) Find the general solution to the following non-homogeneous 2nd order ordinary differential equation: d²y dx² dy dx - - 2y = 2x - 1 (7 marks)

Answers

The general solution to the non-homogeneous 2nd order ordinary differential equation is y = C₁e^(2x) + C₂e^(-x) - x + 2.

Given the differential equation;

d²y/dx² - dy/dx - 2y = 2x - 1

The characteristic equation associated with this equation is m² - m - 2 = 0, which can be factored as (m-2)(m+1) = 0.

The roots are m=2 and m=-1. Therefore, the homogeneous solution to the differential equation is;

y_h = C₁e^(2x) + C₂e^(-x)

where C₁ and C₂ are constants.

To find the particular solution of the non-homogeneous equation, we first find the general solution of the associated homogeneous equation:

d²y/dx² - dy/dx - 2y = 0.

The general solution of the associated homogeneous equation is;

y_h = C₁e^(2x) + C₂e^(-x).

Now, let's find the particular solution of the non-homogeneous equation. We try the solution of the form;

y_p = Ax + B

Substituting into the differential equation;

d²y/dx² - dy/dx - 2y = 2x - 1,

we get;

0 - 0 - 2(Ax + B) = 2x - 1

⇒ Ax + B = -x + 1

We get two equations by solving for A and B respectively:

⇒ A = -1, B = 2

Therefore, the particular solution of the non-homogeneous differential equation is;

y_p = -x + 2

Hence, the general solution to the non-homogeneous 2nd order ordinary differential equation;

d²y/dx² - dy/dx - 2y = 2x - 1 is;

y = y_h + y_p = C₁e^(2x) + C₂e^(-x) - x + 2.

To know more about differential visit:

https://brainly.com/question/13958985

#SPJ11

The tangent of an angle is 3.4. What is the measure of the angle to the nearest tenth?

Answers

Answer:

 1) -  Hence, OPTION (A ):  BC  = √58

2) -  The measure of the Angle to the Nearest Tenth is:  73.6 degrees

Step-by-step explanation:

1) - ΔABC  is a Right Triangle.  If  AB  =  3  and  AC  =  7,  Find BC. Leave in Simplest Radical Form.

AB^2  +  AC^2   =  BC^2

Substitute

       AC  = 7, AB  =  3  Into  AB^2  +  AC^2  = BC^2

Calculate:

        3^2  +  7^2  =  BC^2

Hence,  Option (A):   BC  =  √58

2) - The tangent of an angle is 3.4. What is the measure of the angle to the nearest tenth?

EXPLANATION:

Let Angle  Be:  ∝

tan ∝  =  3.4

      ∝  =  tan^-1 (3.4)

      ∝   =  73.6104597 degrees

      ∝   =   73.6 degrees

Therefore, the measure of the Angle is:  73.6 degrees

I hope this helps you!

there were 650 responses with the following results: 195 were interested in an interview show and a documentary, but not reruns. 26 were interested in an interview show and reruns but not a documentary. 91 were interested in reruns but not an interview show. 156 were interested in an interview show but not a documentary. 65 were interested in a documentary and reruns. 39 were interested in an interview show and reruns. 52 were interested in none of the three. how many are interested in exactly one kind of show?

Answers

There are 322 people who are interested in exactly one kind of show, There are a total of 650 responses, and 52 people are interested in none of the three shows. This means that 650 - 52 = 598 people are interested in at least one of the three shows.

We can use the following Venn diagram to represent the data:

   Interview Show

   /     \

  /       \

 Documentaries Reruns

The number of people in each region of the Venn diagram represents the number of people who are interested in that combination of shows. For example, the number of people in the intersection of the interview show and documentary regions is 195.

The number of people who are interested in exactly one kind of show is the sum of the number of people in each of the three single-show regions. These regions are the three triangles in the Venn diagram.

The number of people in the triangle for the interview show is 156 + 26 + 39 = 221.

The number of people in the triangle for the documentary show is 65 + 91 = 156.

The number of people in the triangle for the reruns show is 91.

Therefore, the total number of people who are interested in exactly one kind of show is 221 + 156 + 91 = 368.

However, we have double-counted some people in this calculation. For example, the people who are interested in both the interview show and the documentary show have been counted twice.

The number of people who have been double-counted is the number of people in the intersection of the two regions, which is 195.

Therefore, the number of people who are interested in exactly one kind of show is 368 - 195 = 322.

To know more about data click here

brainly.com/question/11941925

#SPJ11

Question Attached as an image​

Answers

The smallest integer value that the frequency density axis needs to reach, in order to plot all of the data is 7

How to determine the smallest integer value in the frequency density axis

From the question, we have the following parameters that can be used in our computation:

Mass (x mg) Frequency

0 < x < 18 27

18 < x < 20 13

20 < x < 25 21

25 < x < 40 33

40 < x < 45 20

The frequency density of each interval is calculated using

Frequency density = Frequency/Class width

So, we have

Frequency density = (27/(18 - 0), 13/(20 - 18), 21/(25 - 20), 33/(40 - 25), 20/(45 - 40))

Evaluate

Frequency density = (1.5, 6.5, 4.2, 2.2, 4)

The maximum density above is

Maximum = 6.5

Approximate

Maximum = 7

Hence, the smallest integer value is 7

Read more about frequency table at

https://brainly.com/question/27820465

#SPJ1

3. Juan is at the arcade. He bought 16 tickets and each game requires 2
tickets. Write an expression that gives the number of tickets Juan has left in
terms of x, the number of games he has played.
If 16-2x is one expression that represents the situation.
Write another expression that is equivalent to it.

Answers

y = -2x + 16

This is just putting the same equation into y = mx + b format

4. help will upvote
If f is the function defined below what are the x-coordinates of the point(s) of inflection? Check all that apply. f(x) = 3x5-5x4 0 4/3 5/3. -1

Answers

Given function is:

f(x) = 3x⁵ - 5x⁴

To find x-coordinates of point(s) of inflection, we need to find f"(x).Let's find first derivative.

f'(x) = 15x⁴ - 20x³

Now, second derivative:

f"(x) = 60x³ - 60x²

Factor out

60x²:f"(x) = 60x²(x - 1)

Now, let's set

Thus, x-coordinates of point(s) of inflection are 0 and 1.Hence, the correct options are A. 0 and B. 1.

To know more about function visit :

https://brainly.com/question/30721594

#SPJ11

with a master's in statistics will get a starting salary of at least \( \$ 71,000 \) ? Multiple Choice \( 0.011 \) \( 0.034 \) \( 0.978 \) \( 0.466 \)

Answers

With a master's in statistics will get a starting salary of at least $71,000. The correct answer to the question is option (c) 0.978.

According to the Bureau of Labor Statistics (BLS), the median annual wage for statisticians was $92,030 as of May 2020. However, it is important to note that starting salaries can vary depending on factors such as industry, location, and level of experience.

A Master's degree in Statistics can lead to various career paths such as data analyst, biostatistician, statistician, and actuary. The starting salary for these positions can range from $50,000 to $90,000 per year. However, Glassdoor reports that the national average salary for a statistician with a Master's degree is $94,000 per year.

It is worth noting that salary ranges and averages can vary depending on the source of information and the methodology used to collect data. Some sources may report salaries based on self-reported data from employees or employers, while others may use data from surveys or job postings.

In conclusion, while it is difficult to predict an exact starting salary for someone with a Master's degree in Statistics, it is likely that they will earn at least $71,000 per year based on available data.

Therefore, the correct answer is option (c) 0.978.

To know more about ranges and averages refer here:

https://brainly.com/question/3277801#

#SPJ11

The graph shows the distance, in feet, required for a car to come to a full stop if the brake is fully applied and the car was initially traveling x miles per hour.

A graph shows speed (miles per hour) labeled 10 to 100 on the horizontal axis and stopping distance (feet) on the vertical axis. A line increases from 0 to 60.

Which equation can be used to determine the stopping distance in feet, y, for a car that is traveling x miles per hour?

y =
y =
y =
y =

Answers

The linear function for the stopping distance is given as follows:

y = (2x - 20)/3.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

In which:

m is the slope.b is the intercept.

Two points on the graph are given as follows:

(10, 0), (100, 60).

When x increases by 90, y increases by 60, hence the slope m is given as follows:

m = 60/90

m = 2/3.

Hence:

y = 2x/3 + b.

When x = 10, y = 0, hence the intercept b is given as follows:

0 = 20/3 + b

b = -20/3.

Hence the equation is given as follows:

y = (2x - 20)/3.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

Evaluate The Limit Limb→9b−9b1−91

Answers

The limit of lim(b→9) ((1/b - 1/9) / (b - 9)) is -1/81.

To evaluate the limit of lim(b→9) ((1/b - 1/9) / (b - 9)), we can simplify the expression and then substitute b = 9 to find the result.

Let's simplify the expression step by step:

lim(b→9) ((1/b - 1/9) / (b - 9))

First, let's find a common denominator for the fraction (1/b - 1/9):

lim(b→9) (((9 - b)/9b) / (b - 9))

Next, let's invert the denominator and multiply:

lim(b→9) (((9 - b)/9b) * (1/(b - 9)))

Now, we can simplify by canceling out the common factors:

lim(b→9) (-1/9b)

Finally, substitute b = 9 into the expression:

lim(b→9) (-1/9 * 9) = -1/81

Therefore, the limit of lim(b→9) ((1/b - 1/9) / (b - 9)) is -1/81.

Complete Question:

Evaluate The Limit lim[b→9] ((1/b−1/9) /(b−9)).

To know more about limit, refer here:

https://brainly.com/question/12203044

#SPJ4

Evaluate The Indefinite Integral Below. ∫(X+1)(X2+5x+1)3x2+12x+6dx

Answers

The indefinite integral becomes:

[tex]\(\int (x+1)(x^2+5x+1)(3x^2+12x+6) \, dx\)\(= \frac{1}{2}x^6 + C_1 + \frac{27}{5}x^5 + C_2 + 21x^4 + C_3 + 16x^3 + C_4 + 21x^2 + C_5 + 6x + C_6\)[/tex]

To evaluate the indefinite integral [tex]\(\int (x+1)(x^2+5x+1)(3x^2+12x+6) \, dx\)[/tex], we can expand the expression and then integrate each term individually.

Expanding the expression, we get:

\(\int (x+1)(x^2+5x+1)(3x^2+12x+6) \, dx\)

\(= \int (3x^5+15x^4+3x^3+12x^4+60x^3+12x^2+6x^3+30x^2+6x+3x^4+15x^3+3x^2+12x^3+60x^2+12x+6x^2+30x+6) \, dx\)

\(= \int (3x^5+27x^4+84x^3+48x^2+42x+6) \, dx\)

Now, we can integrate each term separately:

\(\int 3x^5 \, dx = \frac{3}{6}x^6 + C_1 = \frac{1}{2}x^6 + C_1\)

\(\int 27x^4 \, dx = \frac{27}{5}x^5 + C_2\)

\(\int 84x^3 \, dx = 21x^4 + C_3\)

\(\int 48x^2 \, dx = 16x^3 + C_4\)

\(\int 42x \, dx = 21x^2 + C_5\)

\(\int 6 \, dx = 6x + C_6\)

Putting it all together, the indefinite integral becomes:

\(\int (x+1)(x^2+5x+1)(3x^2+12x+6) \, dx\)

\(= \frac{1}{2}x^6 + C_1 + \frac{27}{5}x^5 + C_2 + 21x^4 + C_3 + 16x^3 + C_4 + 21x^2 + C_5 + 6x + C_6\)

where \(C_1, C_2, C_3, C_4, C_5, C_6\) are constants of integration.

Learn more about indefinite integral here

https://brainly.com/question/27419605

#SPJ11

A curve c with equation y=f(x) pass through the point is coordinates (1.1) and (2,k) where k is constant given that the equation of c satisfied the ODE . Determine the exact value of k. x 2
dx
dy

+xy(x+3)=1

Answers

The exact value of k is either -2/5 or 2/5, depending on the sign of k, and we cannot determine the sign of k from the given information.

Given that the curve c passes through the point (1,1) and (2,k), we can use these points to find the particular solution of the ODE.

Firstly, we can rearrange the ODE to get:

(dy/dx) + (xy(x+3))/x^2 = 1/x^2

This is a linear first-order ODE with integrating factor u(x) = e^(∫x(x+3)/x^2 dx) = e^(ln|x+3|) = |x+3|

So, multiplying both sides of the ODE by the integrating factor gives:

|y(x+3)|/x^2 + ∫d(|y(x+3)|)/dx * |x+3| dx = C, where C is a constant of integration.

Now, using the initial condition y(1)=1, we get:

|1(1+3)|/1^2 + ∫d(|1(1+3)|)/dx * |x+3| dx = C

=> 4 + ∫0 * |x+3| dx = C

=> C = 4

So, the equation of the curve c is:

|y(x+3)|/x^2 + ∫d(|y(x+3)|)/dx * |x+3| dx = 4

Using the second initial condition, y(2) = k, we can solve for k:

|k(2+3)|/2^2 + ∫d(|k(2+3)|)/dx * |x+3| dx = 4

=> |5k|/4 + ∫k * sign(2+3) dx = 4

=> |5k|/4 + k * sign(5) * (x+3) / 2 = 4

Now, we can use the fact that the curve c passes through the point (2,k) to find k:

|5k|/4 + k * sign(5) * (2+3) / 2 = 4

=> |5k|/4 + 5k/2 = 4 - (5/2)

=> 5|k|/4 + 5k/2 = -3/2

Since k is a constant, it must be positive or negative. If k is positive, then we can simplify the equation to get:

15k/4 = -3/2

=> k = -2/5

If k is negative, then we would get:

-15k/4 = -3/2

=> k = 2/5

Therefore, the exact value of k is either -2/5 or 2/5, depending on the sign of k, and we cannot determine the sign of k from the given information.

Learn more about  value from

https://brainly.com/question/24305645

#SPJ11

Find the volume of the solid of revolution generated by revolving y=36−x2​ from x=−6 to x=6 about the x-axis. The volume is cubic units. (Type an exact answer, using π as needed.)

Answers

The given function to be revolved is y= 36−x² in the interval [-6, 6]. We need to find the volume of the solid of revolution generated by revolving this curve about the x-axis. The formula for finding the volume of the solid of revolution.

function is y = 36 − x² and the curve is revolved about the x-axis in the interval [-6, 6]. Therefore, the limits of the integration will be -6 to 6 and the radius will be y (since we are revolving about the x-axis).Using the formula for finding the volume of a solid of revolution, we get:V = π∫[36-x²]² dx , where V is the volume and dx is the thickness of the disk.We now need to find the integral of the expression [36-x²]² .

Applying the square formula, we get:[36-x²]² = 1296 - 72x² + x⁴Now,∫[36-x²]²

dx = ∫1296 - 72x² + x⁴ dxOn integrating we get:

V = π [ 432x - 16x³ + x⁵/5] between limits -6 and 6Putting limits, we get:

V = π [(432*6) - (16*6³) + (6⁵/5)] - π [(432*(-6)) - (16*(-6³)) + ((-6)⁵/5)]Simplifying, we get:V = π [(2592+7776+7776/5) - (-2592+7776-7776/5)]V = π [ 19552/5 ]Hence, the volume of the solid of revolution generated is 3910.4 cubic units (rounded to one decimal place).

To know more about curve visit:

https://brainly.com/question/32535381

#SPJ11

The length of time (in seconds) a certain individual takes to learn a list of n items is approximated by f(n) = 4n√n - 4. Use differentials to approximate the additional time it takes the individual to learn the items on a list when n is increased from 53 to 57 items. (Round your answer to the nearest second.)

Answers

Using differentials to approximate the additional time, the additional time is approximately 45 seconds.

To approximate the additional time it takes the individual to learn the items on a list when n is increased from 53 to 57 items, we can use differentials. The differential of a function represents the approximate change in the function for a small change in the independent variable.

The given function is f(n) = 4n√n - 4. We want to find the additional time it takes, which corresponds to the change in the function value, Δf.

Δf ≈ f'(n) * Δn

To find the derivative f'(n) of the function, we differentiate f(n) with respect to n:

f'(n) = d/dn (4n√n - 4)

= 4√n + 4n/(2√n)

= 4√n + 2√n

= 6√n

Now, we can calculate the change in n, Δn, which is the increase from 53 to 57:

Δn = 57 - 53 = 4

Substituting the values into the differential approximation formula, we have:

Δf ≈ 6√n * Δn

≈ 6√53 * 4

Calculating this expression will give us the approximate additional time in seconds when the list size is increased from 53 to 57 items:

Δf ≈ 6√53 * 4 ≈ 44.955

Rounding the answer to the nearest second, the additional time is approximately 45 seconds.

To learn more about function click on,

https://brainly.com/question/29090469

#SPJ4

Other Questions
a large number of cancer deaths were reported among retires of a fertilizer manufacturing company. because of this, investigators formed a cohort of employees of a fertilizer manufacturing factory using insurance claims data. the employees who actually worked with chemicals used in the manufacturing process would be the exposed group, while clerical workers and management might constitute the unexposed group. this study design is an example of Based on the supply schedule above, which of the following is true of the product's price elasticity of supply? Look at image Please answer both subparts, theyre asking different things but thesame concept. Thank you, will give thumbs up!!:)Identify the following as strong or weak acids. HF \( \mathrm{HBr} \) \( \mathrm{H} 2 \mathrm{SO} 4 \) \( \mathrm{H} 2 \mathrm{SO} 3 \)The following compounds are added into water, identify if they Lising evaluate Gauss-Legendre 2 and 3 points formulae 3 cas (2x-1) dx correct to 6 decimal places What is: confined aquifer; crystalline-aquifer,limestone-aquifer, storage-coefficient; and, aquifer-recharge? how can organizations and change leaders carry the people along A compound is composed of \( 36.85 \% \) nitrogen and \( 63.14 \% \) oxygen. What is the chemical formula of this compound? (4+7+9=20 Marks) "approximtly 25 min" RG In a 15-hp, 240-V, 1200-rpm shunt DC motor, the armature resistance is 0.40 02 and the field resistance is 1000. The magnetization curve of the motor is assumed to be linear in the operating region. Neglect mechanical losses and armature reaction. a) If the motor is running at 1200RPM at no-load and R 100 ohms, what will be the motor EMF?) b) If an additional adjustable resistance is inserted in series with the shunt field, and it can be varied between zero and 100 , find the possible range for no-load speed with the adjustable resistance connected. c) With the adjustable resistance in series with the shunt field set to zero, what is the speed regulation of the motor if its net output is 15HP? Note: the speed regulation is given by : Speed Regulation = (No Load Speed - Full Load Speed)/(No Load Speed) BONUS [5 marks] (Applies for Prof. Ehab's Section Only) If the motor drives a mechanical load whose torque varies as the square of the speed, find the additional armature resistance required to give half-rated speed at the rated voltage. (adjustable filed resistance is set to zero). suppose there is a 20% tax on the first $20,000 of taxable income, a 30% tax on taxable income above $20,000 until $35,000, and a 40% tax on all taxable income above $35,000. there is a $3,000 exemption per person in a family. what is the marginal tax rate for a single mother making $35,000 who has one child? A slaughterhouse with a wastewater flow of 0.011 m 3/s and a BOD 5OF 590mg/L discharges into Simpang Kanan River. The river has a 7-day low flow of 1.7 m 3/s. Upstream of the slaughterhouse, the BOD 5of the river is 0.6mg/L. The BOD rate constant k are 0.115 d 1for the slaughterhouse and 3.7d 1for the river, respectively. The temperature of both river and the slaughterhouse wastewater is 28 C. Calculate the initial ultimate BOD after mixing. Provide TWO (2) suggestions to reduce the water pollution at Simpang Kanan River. 4x4 keypad can be connected using two ports only, one for input and the other for output True False *To display y=27 on the LCD display, it must use printf () with %u %d None of the above % O % O A LM35D temperature sensor with sensitivity of (1C/10mv) is connected to ADC (Analog to Digital Converter) in PIC16F877A ADC operates with 10 bits, 5v reference voltage. If the PIC reads a digital 60, the real ... temperature that is measured is 45 CO 29 C 37 C O 41 CO 23 CO To set only the last 3-bits of the port B as an input, it must write the instruction set_tris_b(OXEE) O set_tris_b(OXEO) O set_tris_b(0x07) O set_tris_b(0x0E) set tris b(0x70) Research Hospitality Trends in one of the following areas and prepare a PPT presentation with a maximum of 6 slides+ cover slide. Ensure you include data to support your findings. List all your sources.Choose from one of the following topics:Food and Beverage TrendsDigital Marketing TrendsRobotsSmart HotelsPersonalizationSustainabilityHealthy and Organic Food and DrinksLocal Dining ExperienceHotel Stays after the Pandemic- What do Market Segments Look LikeEco TourismSustainability in Cruise Lines Evaluate the following expressions. Your answer must be an exactangle in radians and in the interval [/2,/2](a) tan^1(3/3)=(b) tan^1(0)=(c) tan^1(3)= political candidates are faced with the simultaneous challenge of addressing arguments to political partisans who already share their ideology as well as undecided voters who may not share their ideology. group of answer choices true false which of the following is an example of stabilizing selection? which of the following is an example of stabilizing selection? in a population of bats, bats with medium-sized wings can fly between trees more quickly and easily to capture insects (food) than those with either long or short wings. in a population of chipmunks, chipmunks with pointier teeth are better able to break the hard shells of seeds (food) than those with more rounded teeth. in a population of grass, grasses with longer roots survive better in dry years, and grasses with shorter roots survive better in wet years. in a population of snakes, smaller snakes can hide from predators more easily, while larger snakes can move faster to escape predators. 5. Which is an argument in favor of affirmative action?O Legislation is the only way for minorities to take away gains by nonminorities.Legislation is already in place to enforce equal pay for equal work.Legislation is unfair to nonminorities and does not evaluate all people fairly.O Legislation is necessary to allow minorities to overcome generations of discrimination. A sample of NOBr decomposes according to the following equation:2 NOBr(g) 2 NO(g) + 1 Br2(g)An equilibrium mixture in a 5-L vessel at -166 oC, contains 0.456 g of NOBr, 0.162 g of NO, and 0.864 g of Br2.(a) Calculate KP for this reaction at this temperature.KP = .(b) What is the total pressure exerted by the equilibrium mixture of gases?Ptotal = atm. With the aid of a power reducing formula, 14sin^2cos2^=?QUESTION 2. 1 POINT With the aid of a power reducing formula, 14sin acos a = ? Select the correct answer below: O - / - 14cos (4x) 2 O 14 14cos (4a) O-14cos (2a) - cos (4a) O / +7cos (2a) - cos (4 it is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. athletes are tested to see if they are using drugs or not using drugs. the test can come back positive or negative. if the person uses a drug, the test comes back positive 80% of the time. what is the probability that an athlete tests positive and is a user of a drug? which of the following arguments is a denier?group of answer choicesnjeri is descended from hutus, so of course she would defend the hutus: that doesn't mean that her defense is accurate!njeri is descended from hutus, so despite her eloquent argument in defense of the hutus, we know that what she is arguing is false.njeri is descended from hutus, so we cannot trust anything she says on matters of importance in rwandan politics.njeri is descended from hutus, so she is probably a very skillful orator: we must be sure not to let her persuade us of things too easily.