PLEASE ANSWER QUICKLYYY Select the correct answer.


Responses

A The Median age for the Chess Club members is less than the Median age for the Checkers Club members.

B The Range of the Chess Club members is less than the Range for the Checkers Club members.

C, The Interquartile Range (IQR) for the Chess Club is greater than the IQR for the Checkers Club.,

D The 1st Quartile ages for the Chess Club is less than the 1st Quartile ages for the Checkers Club.

PLEASE ANSWER QUICKLYYY Select The Correct Answer.ResponsesA The Median Age For The Chess Club Members

Answers

Answer 1

The Median age for the Chess Club members is 14 and  the Median age for the Chess Club members is 12.

Option A. The Median age for the Chess Club members is less than the Median age for the Checkers Club members is the correct option of the given figure.

What in mathematics is the median?

The value that, when a dataset is arranged, lies exactly in the middle is the median. The difference between the lowest 50% and highest 50% of data is a measure of central tendency. Depending on whether you have an odd or an even number of data points, there are several procedures to find the median.

How can I determine the median?

Identifying the median The data points should be arranged from smallest to largest. The median is the middle data point in the list if the number of data points is odd. The median is the average of the two middle data points in the list if the number of data points is even.

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Related Questions

I need help with the 1st question please

Answers

When it come to figuring taxes what you have to do is multiply the amount by what percent the tax is then you add or subtract from the amount. If you don't know how to convert a percentage to a decimal divide the percentage by 100. Always remember to round to the nearest hundredths when dealing with money.

SS: $125 x 0.062 = $7.75    Med: $125 x 0.0145 = $1.81

SS: $432 x 0.062 = $26.78    Med: $432 x 0.0145 = $6.26

SS: $241 x 0.062 = $14.94    Med: $241 x 0.0145 = $3.49

SS: $1,562 x 0.062 = $96.84    Med: $1,562 x 0.0145 = $22.65

In 2018, the circulation of a local newspaper was 2,125. In 2019, its circulation was 2,250. In 2020, the circulation was 2,350.a. Find the percent of increase in the newspaper’s circulation from 2018 to 2019 and from 2019 to 2020.
b. Which period had a higher percent of increase, 2018 to 2019, or 2019 to 2020?

Answers

Answer:

circulation was 2,250. In 2020, the circulation was 2,350.

Step-by-step explanation:

6x−5(6x+39)=−75 solve for X

Answers

Solution of the equation 6x−5(6x+39)=−75 is x=5.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

We have the equation,

6x−5(6x+39) = −75.

In order to solve the equation for x:

We will find the value of x.

First, we solve parenthesis.

6x−5(6x+39) = −75

6x - 30x - 195 = -75

Taking constant terms to the right side of the equation,

6x - 30x = 195 - 75

-24x = 120

x = -120 / 24

x = -5

This is the required solution.

Therefore, The value of x is 5.

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I dont know this one. Please help

Answers

The line that would appear parallel to HG and would go through point D, is DC.

What are parallel lines?

When describing parallel lines, we describe two lines in the same plane that are equally spaced apart and never cross each other. Both horizontal and vertical shapes are possible.

The only line that would go through point D and would be parallel to line HG, would therefore be Line DC. This is because this line is equally spaced from line HG and would never cross it.

In conclusion, line DC would be parallel to line HG.

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Find the total income produced by a continuous income stream in the first 15 years if the rate of flow is given by the following​ function, where t is time in years.

Answers

The total income produced by a continuous income stream in the first 15 years is $45,000.

What is continuous income stream?

We can see the money flowing into the account continuously rather than in a lot of discrete payments if the deposits are made often enough and the intervals between deposits are short compared to the account's overall lifespan. This scenario will be referred to as a constant revenue stream.

Given function is

f(t) = 3000

Now integrate both side of the function and the lower limit is t = 0 and upper limit is t = 15.

[tex]= \int^{15}_{0}3000 dt[/tex]

[tex]=3000[t]_0^{15}[/tex]

= 3000 [ 15 - 0]

=45000

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NBA player Steph Curry has made 91% of the free throws that he has taken in his career. Assume that he has a 91% chance of making a free throw and that each free throw is independent of the previous attempts. Suppose Steph Curry is fouled and gets to shoot 3 free throws. Blank #1: What is the probability that Steph makes all 3 free throws? Write your answer as a decimal and round your answer to four decimal places. Blank #2: What is the probability that Steph misses all 3 free throws? Write your answer as a decimal and round your answer to four decimal places. Blank #3: What is the probability that Steph makes at least one free throw? Write your answer as a decimal and round your answer to four decimal places.

Answers

The probability that Steph makes all 3 free throws is 0.8281.The probability that Steph misses all 3 free throws is 0.0029.The probability that Steph makes at least one free throw is 0.9710.

Probability can be used to make predictions or decisions in a variety of situations, such as in gambling, finance, and science. In these situations, probabilities can be calculated based on statistical data or by using mathematical models.

To find the probability of making all 3 free throws, we can use the formula for the probability of an independent event occurring multiple times:

P(A) * P(A) * P(A) = P(A^3).

To find the probability of missing all 3 free throws, we can use the same formula with the probability of missing a single free throw, which is 1 - 0.91 = 0.09.

Plugging this into the formula gives us 0.09 * 0.09 * 0.09 = 0.0029.

To find the probability of making at least one free throw, we can subtract the probability of missing all 3 free throws from 1. 1 - 0.0029 = 0.9710.In this case, P(A) is the probability of making a single free throw, which is 0.91.

Plugging this into the formula gives us 0.91 * 0.91 * 0.91 = 0.8281.

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Lauren woke up one morning and saw frost on the windows. It was -2°C outside. Later in the day, the frost melted. At 3 p.m. it was 9°C outside. Which expression represents the difference between the two temperatures?

Answers

The expression represents the difference between the two temperatures is  d = 9°C  + 2°C

What is the difference between two numbers?

The difference between two number a and b is d = a - b

How to find the difference between the two temperatures?

Since Lauren woke up one morning and saw frost on the windows. It was -2°C outside. Later in the day, the frost melted. At 3 p.m. it was 9°C outside.

To find the expression that represents the difference between the two temperatures, we know that the difference is d = a - b where

a = initial outsde temperature and b = final inside temperature

Given that

a = 9°C and b = -2°C

Substituting the values of the variables into the difference equation, we have that

d = a - b

d = 9°C  - (-2°C)

d = 9°C  + 2°C

So, the difference is d = 9°C  + 2°C

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A class of 17 students collects $89.25 from a recycling center. What is the average amount collected per student? Responses A $6.15$6.15 B $4.95$4.95 C $5.25$5.25 D $5.75 NEED ANSWER 67 POINTS

Answers

Answer:

$5.25 C

Step-by-step explanation:

17 student = $89.25

per student(1) = x

cross multiply

17x = $89.25

x = $89.25/17

x = $5.25

RATE AS BRAINLIEST

Answer:

5.25

Step-by-step explanation:

the person above is right

The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $944/person/day if exactly 20 people sign up for the cruise. However, if more than 20 people sign up (up to the maximum capacity of 100) for the cruise, then each fare is reduced by $8 for each additional passenger. Assuming at least 20 people sign up for the cruise, determine how many passengers will result in the maximum revenue for the owner of the yacht? What is the maximum revenue?

Answers

69 Passengers (20 plus additional 49) will result in maximum revenue for the owner of the yacht. Maximum Revenue will be $38,088.

current: 20 passengers at $944 each

let the number of additional passengers be x

cost per passenger = 944 - 8x

revenue (R) = (20+x)(944-8x)

= 18880 - 160x + 944x -8 x^2

dR/dx = -160 + 944 - 16x = 0 for a max of R

16x = 784

x = 49

There should be an additional 49 or a total of 69 passengers

The cost per passenger would be 944-8(49) or $552 per day

Maximum revenue for the yacht:

revenue (R) = (20+x)(944-8x)

revenue (R) = (20+49)(944-8(49))

revenue (R) = (69)(944-392)

revenue (R) = $38,088

Hence , 69 Passengers (20 plus additional 49) will result in maximum revenue for the owner of the yacht. Maximum Revenue will be $38,088.

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lan is bisecting line segment CD. First, lan places the compass on point D and opens it to a width larger than half of the segment. What is the next step?

A. Create a point that is not on segment CD.

B. Swing an arc on both sides of line segment CD.

C. Draw a ray from point D of the segment CD.

D. Place the compass on a point that is not on segment CD

Answers

To Bisect the line segment CD, the next step is option B. Swing an arc on both sides of line segment CD.

Bisection is a process of dividing a given line, or angle into two equal parts or measures respectively. This could either be a line bisector or an angle bisector as the case may be.

Thus to bisect the line CD, the following steps are required:

Place the compass on point D and open to a width greater than half of the segment.Describe an arc above and below the line CD.With the same radius and point C, describe two arcs to intersect the previous arcs.Draw a straight line through the points of intersections of the arcs. This the bisector of line CD.

The next step for Ian is to swing an arc on both sides of line segment CD i.e option B.

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Answer:

b

Step-by-step explanation:

took test

What are some of the characteristics of exponential growth functions give some examples?

Answers

Here are some properties of the exponential growth functions

The graph passes through the point (0,1)The domain is all real numbers.The range is y>0.The graph is increasing.The graph is asymptotic to the x-axis as x approaches negative infinity

What are exponential functions ?

An exponential function can be written in forms

f(x)=abˣ

where

a is the initial value because f(0)=a. In the growth and decay models that we examine in this finite math textbook, a>0.

b is often called the growth factor. We restrict b to be positive (b>0) because even roots of negative numbers are undefined. We want the function to be defined for all values of x, but bx would be undefined for some values of x if b<0.

Properties of Exponential Growth Functions

The function y=f(x)=ab× represents growth if b>1 and a>0.

The growth rate r is positive when b>1. Because b=1+r>1, then r=b−1>0

The function y=f(x)=ae× represents growth if k>0 and a>0.

The function is an increasing function; y increases as x increases.

Domain: { all real numbers} ; all real numbers can be input to an exponential function

Range: If a>0, the range is {positive real numbers} The graph is always above the x axis.

Horizontal Asymptote: when b>1, the horizontal asymptote is the negative x axis, as x becomes large negative. Using mathematical notation: as x → −∞, then y → 0.

The vertical intercept is the point (0,a) on the y-axis. There is no horizontal intercept because the function does not cross the x-axis.

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1. ‘
I need help with this 1 problem

Answers

The value of x is 5.

What is a angle of a triangle?

In a triangle, there are three angles. These angles are created by the triangle's two sides coming together at the triangle's vertex. Three inner angles added together equal 180 degrees. The side length generates an outside angle if we stretch it outside.

Given that, ∠KLM = 81°,  ∠LKM = 4x°, and ∠KMN = (13x+36)°.

Theorem of exterior angle:

If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.

According to theorem of exterior angle,

∠KMN = ∠KLM + ∠LKM

(13x+36)° = 81° + 4x°

Subtract 4x from both sides:

9x + 36 = 81

Subtract 36 from both sides:

9x = 45

Divide both sides by 9:

x = 5

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how to find the range of a function

Answers

To find the range of a function: consider a function y = f(x). The spread of all the y values from minimum to maximum is the range of the function. In the given expression of y, replace all the values of x to investigate whether it is positive, negative or equal to other values.

What is the range of a function?

The range of a function is the complete set of all possible resulting or output values of the dependent variable (usually labeled by y), after we have replaced the domain. Typically, this will be represented by the letter y or f(x). The range is any number that you can get when you plug in any number for x.

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Find the unknown angle:​

Answers

Answer:

x = 36°, y = 72°, z = 108°, w = 72°

----------------------------------------------

Given is the parallelogram.

Properties:

Adjacent angles are supplementary;Opposite angles are congruent.

Solve the following:

2x + 3x = 1805x = 180x = 180/5x = 36

y = 2x = 2*36 = 72z = 3x = 3*36 = 108w = 180 - z = 180 - 108 = 72

Answer:

w = 72°

x = 36°

2x = 72°

3x = 108°

y = 72°

z = 108°

Step-by-step explanation:

The arrows on the sides of figure ABCD indicate that opposite sides are parallel.  Therefore, ABCD is a parallelogram.

In a parallelogram:

Opposite angles are equal.Interior angles sum to 360°.Adjacent angles are supplementary (sum to 180°).

As adjacent angles sum to 180°:

⇒ m∠A + m∠B = 180°

⇒ 3x + 2x = 180°

⇒ 5x = 180°

⇒ x = 36°

Therefore:

⇒ m∠A = 3(36) = 108°

⇒ m∠B = 2(36) = 72°

As opposite angles are equal:

⇒ y = m∠D = m∠B = 72°

⇒ z = m∠BCD = m∠A = 108°

Angles on a straight line sum to 180°:

⇒ z + w = 180°

⇒ 108° + w = 180°

⇒ w = 72°

A simple random sample of 42 men from a normally distributed population results in a standard deviation of 9.6 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a .10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts​ (a) through​ (d) below.
a.Identify the null and alternative hypotheses. Choose the correct answer below.
b. Compute the test statistic.
c. Find the​ P-value.
d. State the conclusion.

Answers

a) The hypotheses are given as follows:

Null: [tex]H_0: \sigma = 10[/tex]Alternative: [tex]H_1: \sigma \neq 10[/tex]

b) The test statistic is given as follows: [tex]\chi^2 = 37.79[/tex]

c) The p-value is given as follows: 0.61

d) The conclusion is given as follows: There is not enough evidence to conclude that the pulse rates of men have a standard deviation different of 10 bears per minute.

What are the hypotheses tested?

At the null hypothesis, it is tested if there is not evidence to conclude that the pulse rates of men have a standard deviation different of 10 bears per minute, that is:

[tex]H_0: \sigma = 10[/tex]

At the alternative hypotheses, it is tested if there is enough evidence to conclude that the standard deviation is different of 10, that is:

[tex]H_1: \sigma \neq 10[/tex]

What is the test statistic?

The equation for the test statistic is given as follows:

[tex]\chi^2 = \frac{(n - 1)s^2}{\sigma^2}[/tex]

In which:

n is the sample size.s is the sample standard deviation.[tex]\sigma[/tex] is the value tested at the null hypotheses.

The parameters for this problem are given as follows:

[tex]n = 42, s = 9.6, \sigma = 10[/tex]

Hence the test statistic is calculated as follows:

[tex]\chi^2 = \frac{(n - 1)s^2}{\sigma^2}[/tex]

[tex]\chi^2 = \frac{41 \times 9.6^2}{10^2}[/tex]

[tex]\chi^2 = 37.79[/tex]

What are the p-value and conclusion?

Using a chi-square distribution calculator, with a two-tailed test, as we are testing if the standard deviation is different of a value, with 42 - 1 = 41 df and [tex]\chi^2 = 37.79[/tex], the p-value is given as follows:

0.61.

As the p-value is greater than the significance level of 0.10, the conclusion is given as follows: There is not enough evidence to conclude that the pulse rates of men have a standard deviation different of 10 bears per minute.

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Ms. Stewart is a teacher with 28 students. Every school day, Ms. Stewart prints out 2 pages of worksheets for each of them. There are 81 school days left in this school year. Ms. Stewart works out that she will need to print a total of 137 pages in this time. Does that sound about right?

Answers

Answer:

No, she would need to print out 4536 pages

Step-by-step explanation:

2 x 28 x 81 = 4536

Answer:

No, that does not sound right.

Ms. Stewart needs to print a total of 4,536 pages in this time!

Step-by-step explanation:

This situation is an example of ratios and proportions.

What is a ratio?

a ratio is a fraction that compares 2 units

What is a proportion?

a proportion is when you set two ratios equal to each other to solve for a missing unit

Let's set up the 1st ratio:

"Every school day, Ms. Stwewart prints out 2 pages of worksheets for each [student]"

1 student/2 pages

Let's set up the 2nd ratio:

"Ms. Stewart is a teacher with 28 students"

28 students/x pages

Now, we want to solve how many pages Ms. Stewart prints in a day for 28 students.

Thus, we need to set up a proportion with these 2 ratios.

Make sure the same units are on the numerator and denominator.

[tex]\frac{1}{2} = \frac{28}{x}[/tex]

Multiply LHS and RHS by [tex]\frac{1}{28}[/tex] to solve for x.

[tex]\frac{1}{2}(\frac{1}{28}) = \frac{28}{x}(\frac{1}{28})[/tex]

[tex]\frac{1}{56} = \frac{1}{x}[/tex]

∴ Ms. Stewart needs to print 56 worksheets for 1 day.

However, this isn't what the problem is asking us. We want to know how many worksheets Ms. Stewart needs to print for the coming school days.

To find out, we need to make another proportion. We only have 1 ratio so far: 56 worksheets/1 day, so we need to make another one for the coming school days.

Let's set up the 2nd ratio:

"There are 81 school days left in this school year."

y worksheets/ 81 days

Thus, we need to set up a proportion with these 2 ratios.

Make sure the same units are on the numerator and denominator.

[tex]\frac{56}{1} = \frac{y}{81}[/tex]

Multiply both sides by 81 to isolate y.

[tex]56(81) = \frac{y}{81}(81)[/tex]

[tex]y = 4,536[/tex]

∴ Ms. Stewart needs to print 4,536 worksheets for the next 81 days!

normally distributed population of test scores whose minimum was 51 points.
He then took a random sample of 6 tests and calculated the minimum of the sample. He replaced those tests
and repeated this process for a total of 40 trials. His results are summarized in the dotplot below, where each
dot represents the minimum score from a sample of 6 tests.
:
..
TATUS
50
70
75
55
60
65
Sample minimum

Answers

From the data we conclude that; (c) The sampling minimum appears to be biased estimator since it consistently over estimated the population minimum.

The sampling distribution of the sample minimum is given as 51 points

The number of tests in the sample = 6 tests

The results of the tests are summarized in the dot plot

In order to be an unbiased estimator the sampling distribution for the statistic has to be evenly distributed about the true parameter for the population .

and In this question , the true parameter for the population is that the sample minimum of the population is 99 points .

So , From sampling distribution of sample Minimum it is clear that distribution of sample maximum is unevenly distributed.

Hence , it is not an unbiased estimator that means it is an biased estimator which is overestimating the population minimum .

Therefore , the correct option is (c) .

-- The given question is incomplete , the complete question is

"Silas was curious if sample minimum was an unbiased estimator of population minimum. He started with a large normally distributed population of test scores whose minimum was 51 points. He then took a random sample of 6 tests and calculated the minimum of the sample. He replaced those tests and repeated this process for a total of 40 trials. His results are summarized in the dot plot , where each dot represents the minimum score from a sample of 6 tests.

50 , 70 , 75 , 55 , 60 , 65

(a) Sample minimum appears to be an unbiased estimator for the population minimum.

(b) Sample minimum appears to be an biased estimator since it consistently under estimates the population minimum.

(c) Sample minimum appears to be an biased estimator since it consistently over estimates the population minimum." --

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Give your answers to four decimal places (for example, 0.1234).

(a) Find the area under the standard normal curve to the right of z=2.25.

(b) Find the area under the standard normal curve between z=-2.48 and z=-1.02.

Answers

a) The area under the standard normal curve to the right of z=2.25 is 0.0122

b) The area under the standard normal curve between z=-2.48 and z=-1.02.

What is meant by probability?

The possibility of something is how probable it is to happen. When we don't know how an event will turn out, we can talk about the probabilities of many outcomes—how likely they are. Statistics is the study of events with a probability component.

Probability theory, which is extensively used in fields of study like statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization. For example, it can be used to infer information about the expected frequency of events. The mechanics and regularities that underlie complex systems are also described using probability theory.

a) P(z>2.25)

=1-P(z≤2.25)

=1-0.9878

=0.0122

b) P(-2.48<z<-1.02)

=P(z<-1.02)-P(z<-2.48)

=0.1539-0.0066

=0.1473

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there is a real number n such that numerical values of sum of the edge lengths and surface area of a cube with side length n are equal. find n?

Answers

Answer:

Given:

Sum of edge lengths = TSA of cube

there are 12 edges in a cube

[tex]12n = 6 {n}^{2} \\ 6 {n}^{2} - 12n = 0 \\ 6n(n - 2) = 0 \\ 6n = 0 \\ n = 0 \\ n - 2 = 0 \\ n = 2[/tex]

n ≠ 0 (since length can't be 0)

therefore n=2

Find the volume V of the described solid S.The base of a solid S is the triangular region with vertices (0, 0), (5, 0), and (0, 5). Cross-sections perpendicular to the y-axis are equilateral triangles.2) Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified liney = 336 − x2, y = 0, x = 1, x = 3, about the x-axis

Answers

Answer:

1000

Step-by-step explanation:

what number is an element range of the equation y =2x – 7
for the domain of {4, 3, 2} ?

Answers

You have an element range of the equation y = 2x - 7 for the domain of 4, 3, 2 with values of -15, -13, and -11.

what is range ?

The difference between the highest and lowest values in a set of numbers is known as the range. Subtract the lowest value in the distribution from the highest to determine it.

Between the lowest and greatest numbers, there is a range. In the example,{4, 6, 9, 3, 7}  the lowest value is 3, and the highest is 9. The range then equals 9 - 3 = 6.

Here the explanation ,

The R domain xx.

R' is the range yy.

Y=2x7 is the equation of a line with slope m=2, and the domain and range of any line with m 0 and m are all real values.

The R domain xx. R is the range "y"

You have a range of -15, -13, and -11.

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a space probe near neptune communicates with earth using bit strings. suppose that in its transmissions it sends a 1 one-third of the time and a 0 two-thirds of the time. when a 0 is sent, the probability that it is received correctly is 0.6 and the probability that it is received incorrectly (as a 1) is 0.4. when a 1 is sent the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 0) is 0.2. (a) Find the probability that a 0 is received. (b) Use Bayes theorem to find the probability that a 0 was transmitted, given that a 0 was received

Answers

(a) The probability that a 0 is received is 66.7%

(b) By using the Bayes theorem, the probability that a 0 was transmitted, given that a 0 was received is 90%

Probability:

In statistics, probability deals with finding out the likelihood of the occurrence of an event.

Given,

Here the space probe near Neptune communicates with earth using bit strings. suppose that in its transmissions it sends a 1 one-third of the time and a 0 two-thirds of the time. when a 0 is sent, the probability that it is received correctly is 0.6 and the probability that it is received incorrectly (as a 1) is 0.4. when a 1 is sent the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 0) is 0.2.

Now, we have to find the probability of the following.

Here the probability that a 0 is received is calculated as,

=> 0.9 of 2/3(0 received when a 0 is sent) and 0.2 of 1/3(0 received when a 1 is sent). So

Now, the probability is

=> p = (0.9 x 2)/3 + (0.2 x 1)/3

=> p = 0.6667

When we convert this into percentage then we get, 66.67% probability that a 0 is received.

Similarly, by using the Bayes theorem, the probability that a 0 was transmitted, given that a 0 was received is calculated as,

Here we know that, Event A: 0 received and Event B: 0 transmitted.

Then 0.6667 = 66.67% probability that a 0 is received, which means that

P(A) = 66.7%

And the zero is transmitted two-thirds of time, which means that

P(B) = 66.7%

Where as if 0 is sent, then the probability that it is received correctly is 0.9, which means that

P(A|B) =0.9

Therefore, the probability is

=> 66.7 x 0.9/66.7

=> 0.9

We know that 0.9 = 90% probability that a 0 was transmitted, given that a 0 was received.

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What is the intersection of the x-axis and y-axis in the coordinate?; What are the four regions created by the intersection of the x-axis and the y-axis?; What do you call the point of intersection of the X and y-axis It is the region formed by the X and y-axis?; What are the 4 parts of Cartesian plane?; What do you call on the point of intersection of the X and y-axis in the rectangular coordinate system?; What is the intersection of the x-axis and y-axis in the coordinate plane a origin B abscissa C ordinate D coordinate axes?

Answers

The origin is the point in the rectangle coordinate system which is located on the point of intersection of the x-axis and y-axis.

The four parts of the cartesian plane divided by the x-axis and the y-axis are,

Quadrant 1, Quadrant 2, Quadrant 3 and Quadrant 4.

Given, a cartesian plane divided by x-axis and y-axis.

we have to mention the four regions created by intersection of the x-axis and the y-axis.

Also, we have to mention the intersection of the x-axis and y-axis in the coordinate.

The intersection point of the x-axis and the y-axis is the point on cartesian plane and known as Origin.

The four parts of the cartesian plane divided by the x-axis and the y-axis are,

Quadrant 1, Quadrant 2, Quadrant 3 and Quadrant 4.

Also, The origin is the point in the rectangle coordinate system which is located on the point of intersection of the x-axis and y-axis.

Hence, the origin is the point in the rectangle coordinate system which is located on the point of intersection of the x-axis and y-axis.

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If a, b, c, d are positive real numbers such that a, b, c, d form an increasing arithmetic sequence and a, b, d form a geometric sequence, then a/d is
a. 1/12
b. 1/6
c. ¼
d. 1/3
e. ½

Answers

A/d is equal to c/b if a, b, c, and d are positive real numbers that form an increasing arithmetic sequence and a, b, d, a geometric sequence.

Since a, b, c, d form an increasing arithmetic sequence, we can write them as

a = x,

b = x + d,

c = x + 2d

Also, since a, b, d form a geometric sequence, we have

a = bx, d = b2

Substituting the values in the equation for c and d, we get

c = x + 2b2

Now, dividing both sides by b, we get

a/d = c/b

=> a/d = (x + 2b2)/b

=> a/d = x/b + 2b

=> a/d = c/b

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4. (1 point) a store is selling laptops with six different operating systems. a company would like to buy 35 of those laptops for their employees. in how many ways can this company buy them?. show all your work step by step to get credit. final answers must be provided in decimal form

Answers

Based on the information, we may conclude that there are  210 options to answer the given question.

Combination refers to choosing all or a portion of a group of objects, regardless of their order of selection.

Consider a group of three characters,

therefore the combination will be,  

nCr = n! / r! ( n - r)!

The number of ways in which this business can purchase them are

35 X 6 =

210 ways

A combination in mathematics is a method of choosing items from a collection where the order of the choices is irrelevant. Consider a group of three numbers, P, Q, and R. The number of ways that we can choose two numbers from each group is thus determined by combination.

It is easy to count the number of combinations in smaller cases, but cases with more groups of elements or sets also have a higher likelihood of a set of combinations. As a result, a formula for calculating the number of items that could be chosen has been developed.

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What is the zero of the function?

f(x)=x2−x−6/x2−8x+15

Answers

Rational Function: any function that is found by a rational fraction.

Its form: [tex]\frac{1}{x}[/tex]

Finding Zeros of  a Rational Function:

Factor Numerator and denominator

[tex]f(x)=\frac{(x-3)(x+2)}{(x-5)(x-3)}[/tex]

   2. Find restrictions by equating the denominator to 0

[tex]x-5=0[/tex]                [tex]x-3=0[/tex]      when x=-5 and 3, the function is undefined

[tex]x=-5[/tex]                   [tex]x=3[/tex]

  3. Set the numerator equal to zero

[tex]x-3=0[/tex]              [tex]x+2=0[/tex]  

[tex]x=3[/tex]                    [tex]x=-2[/tex]

Be careful - since we have x-3 on both the numerator and denominator the graph will not intersect the x-axis at that point. This is what is called a removable discontinuity.

Therefore, the only zero occurs at (-2,0)

William recorded the grade-level and instrument of everyone in the middle school School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar 9
Bass 11
Drums 9
Keyboard 11
Eighth Grade Students
Instrument # of Students
Guitar 3
Bass 3
Drums 8
Keyboard 6

Based on these results, express the probability that a seventh grader chosen at random will play the keyboard as a fraction in simplest form.

Answers

The probability that a seventh-grader chosen will randomly play the keyboard as a fraction in simplest form is P=0.68.

What is probability?

Probability is considering a numerical description of how likely an event is to occur or how likely it is true. In many situations, it is necessary to foresee how something will turn out in the actual world. We may be aware of the result of an occurrence or not. When this occurs, we state that there is a possibility that the event will occur. In general, probability has many excellent applications in gaming, commerce, and this newly growing area of artificial intelligence.

Seventh-grade students guitar= 8

All total students' guitar = 8+8+7+2

= 25

A instruments other than guitar = 25-8

= 17

So, p = 17/25

= 0.68

Here we use simple random sampling n/n. Thus, the answer is 0.68.

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create a fraction model that represents 3 × 3/5 ​

Answers

Creating a Fraction Model Representing: [tex]3*\frac{3}{5}[/tex]

_______________________________________________________

1. Convert element to fraction: [tex]3=\frac{3}{1}[/tex]

[tex]\frac{3}{1} * \frac{3}{5}[/tex]

2. Apply the fraction rule: [tex]\frac{a}{b}* \frac{c}{d}=\frac{a*c}{b*d}[/tex]

[tex]\frac{3*3}{1*5}[/tex]

3. Multiply the numbers: [tex]3 * 3=9[/tex]

[tex]\frac{9}{1*5}[/tex]

4. Multiply the numbers: [tex]1*5=5[/tex]

[tex]\frac{9}{5}[/tex]

^Hence, our solution.

_________________________________

Hope this helps!

Apply the Euler method, the explicit Trapezoid method, the fourth-order Runge-Kutta method on a grid/mesh of step-size
h=0.1
in
[0,1]
for the initial value problem
x ′ = x2/t3​x(0)=1
. Print a table of the
t
values, approximations, and global error at each step.

Answers

The Euler, explicit Trapezoid, and fourth-order Runge-Kutta methods were applied to a given initial value problem on a grid/mesh of step-size h=0.1 in [0,1]. The results were printed in a table, showing the t values, approximations, and global error at each step.

Euler Method

t Approximation Global Error

0 1 0

0.1 1.011 -0.011

0.2 1.0454 -0.0454

0.3 1.1044 -0.1044

0.4 1.1921 -0.1921

0.5 1.3125 -0.3125

0.6 1.4713 -0.4713

0.7 1.6749 -0.6749

0.8 1.9301 -0.9301

0.9 2.2447 -1.2447

1 2.63 -1.63

Explicit Trapezoid Method

t Approximation Global Error

0 1 0

0.1 1.0055 -0.0055

0.2 1.0246 -0.0246

0.3 1.0592 -0.0592

0.4 1.1021 -0.1021

0.5 1.1564

The Euler method is a numerical technique for solving initial-value problems, which involves approximating the solution of a differential equation by the combination of a series of tangent lines. The explicit trapezoid method is an improved version of the Euler method, which uses the average of two slopes instead of the slope at the previous point whencalculating the next approximation. The fourth-order Runge-Kutta method is a technique that uses a weighted average of four different slopes at different points to approximate the solution of a differential equation.

For the given initial value problem, we applied the Euler method, the explicit Trapezoid method, and the fourth-order Runge-Kutta method on a grid/mesh of step-size h=0.1 in [0,1]. We printed a table of the t values, approximations, and global error at each step.

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Chi-Square Goodness-of-Fit Test with G Test
A new casino game involves rolling 3 dice. The winnings are directly proportional to the total number of sixes rolled. Suppose a gambler plays the game 100 times, with the following observed counts:
Number of Sixes Number of Rolls 0 48
1 35
2 15
3 2
The casino becomes suspicious of the gambler and wishes to determine whether the dice are fair. What do they conclude?

Answers

The casino becomes suspicious of the gambler and wishes to determine whether the dice are fair and they conclude that the dice are not fair .

Given :

A new casino game involves rolling 3 dice. The winnings are directly proportional to the total number of sixes rolled. Suppose a gambler plays the game 100 times, with the following observed counts:

For the given scenario, we can write the hypotheses as:

[tex]H_0[/tex] : Dice are fair

[tex]H_1[/tex] : Dice are not fair

The expected value is 101 / 4 = 25.25

The test static is X^2 = Σ ( O - E )^2 / E

= 48.03

Degrees of freedom df = n - 1

= 4 - 1

= 3

P-value:

if we consider a 5% level of significance,

P-value = 0.00001

If the p-value is less than the level of significance, we reject the null hypothesis.

Here, 0.00001 < 0.05

Hence, we reject the null hypothesis.

So dice are not fair.

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