If f(x)=1+x23, which of the following is NOT true?a. f is continuous for all real numbers.
b. f has a minimum at x=0.
c. f is increasing for x>0.
d. f'(x) exists for all x
e. f''(x) is negative for x>0.
Answers
The option that is not true about the given radical function is; d. f'(x) exists for all x
How to Interpret Radical Functions?We are given the function;
f(x) = 1 + x^(2/3)
a) All odd radical functions are continuous for all numbers, this is, exists for every x ∈ ℝ. A set of real numbers.
b) From the graph attached, the function f(x) has an absolute minimum at x = 0.
c) f(x) increases for x > 0 and x < 0.
d) First derivative does not exists for x = 0
e) The first and second derivatives of the function are f'(x) = ²/₃x^(-1/3) and f"(x) = -²/₉x^(-4/3)
Thus, the first derivative f"(x) does not exist for x = 0
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Related Questions
which of the following numbers does not have 8 as a factor? A. 25424, B. 15000, C. 36502, D. 10008
Answers
By dividing, we find The number that does not have 8 as a factor is C. 36502.
what is factor?A factor of a number is a positive integer that divides evenly into the number. For example, the factors of 6 are 1, 2, 3, and 6.
what is division?Division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to determine the quotient, which is the result of the division.
to check whether 8 is a factor of 25424, you can divide 25424 by 8:
25424 / 8 = 3178
Since the result is an integer, 8 is a factor of 25424.
To check whether 8 is a factor of 15000, you can divide 15000 by 8:
15000 / 8 = 1875
Since the result is an integer, 8 is a factor of 15000.
To check whether 8 is a factor of 36502, you can divide 36502 by 8:
36502 / 8 = 4562.75
Since the result is not an integer, 8 is not a factor of 36502.
To check whether 8 is a factor of 10008, you can divide 10008 by 8:
10008 / 8 = 1251
Since the result is an integer, 8 is a factor of 10008.
Therefore, the number that does not have 8 as a factor is C. 36502.
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For each of the following expression, explain whether the expression
is a sentence or not. If the expression is a sentence, please show at least three models of
the sentence.
1. 3x+2 ≥ {}
2. x-y=1
3. 2x+y > 0
4. x4y+=
Answers
For given expressions:
1. 3x+2 ≥ {}
This is not a sentence.
2. x-y=1
This is an open sentence.
3. 2x+y > 0
This is an open sentence.
4. x4y+=
This is not a sentence.
In this question, we have been given some expressions.
We need to check which expression is a sentence.
We know that a mathematical sentence makes a statement about two expressions. The two expressions wither use variables, numbers or combination of both.
1. 3x+2 ≥ {}
this is not a sentence. Because when we use comparision than we must have two value to compare.
2. x-y=1
We know that an open sentence containing the sign ‘=‘
So, above expression is a sentence.
For x = 3 and y = 2,
x - y = 3 - 2
= 1
For x = 9 and y = 8,
x - y = 9 - 8
= 1
3. 2x+y > 0
This is an open sentence, as it is not known whether or not the sentence is true or false
4. x4y+=
This is not a sentence.
Therefore, for given expressions:
1. 3x+2 ≥ {}
This is not a sentence.
2. x-y=1
This is a sentence.
3. 2x+y > 0
This is a sentence.
4. x4y+=
This is not a sentence.
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In a traditional IRA account, a
$1000.00 investment is taxed at 12%.
In a Roth IRA account, the $1000.00
investment is taxed at 10%. Which
plan reduces the overall tax burden?
A. The Traditional will reduce the tax burden because it's applied at a
higher percentage.
B. Both tax burdens will come out the same since both tax
calculations start with a $1000.00 account.
C. The Roth IRA reduces the tax burden because its taxes are
calculated in a lower bracket.
D. The Traditional IRA reduces the tax burden because its taxes are
calculated in a lower bracket.
Answers
C. The Roth IRA reduces the tax burden because its taxes are calculated in a lower bracket.
In a traditional IRA, contributions may be tax-deductible in the year they are made, but withdrawals in retirement are taxed as ordinary income. This means that the $1000.00 investment in a traditional IRA would be taxed at the investor's ordinary income tax rate when it is withdrawn in retirement. If the investor's ordinary income tax rate is 12%, then the tax burden on the $1000.00 investment in a traditional IRA would be $120.00.
In a Roth IRA, contributions are not tax-deductible, but withdrawals in retirement are tax-free. This means that the $1000.00 investment in a Roth IRA would be taxed at the investor's ordinary income tax rate when it is made, but it would not be taxed when it is withdrawn in retirement. If the investor's ordinary income tax rate is 10%, then the tax burden on the $1000.00 investment in a Roth IRA would be $100.00.
Overall, the tax burden on the $1000.00 investment in a Roth IRA is lower than the tax burden on the same investment in a traditional IRA because the taxes on the Roth IRA are calculated in a lower bracket (10% vs 12%).
given the plot of normal distributions a and b below, which of the following statements is true? select all correct answers.Select all correct answers Select all that apply: A has the larger mean. B has the larger mean The means of A and B are equal A has the larger standard deviation. B has the larger standard deviation. The standard deviations of A and B are equal.
Answers
Correct option is C
The plot of normal distributions A and B
A has the larger standard deviation
Standard Deviation
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
The name standard deviation for SD came from Karl Pearson. I would guess no more than that he wanted to recommend it as a standard measure. If anything, I guess that references to standardization either are independent or themselves allude to SD.
Mean
In statistics, the mean is one of the measures of central tendency, apart from the mode and median. Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set. The mean, median and mode are the three commonly used measures of central tendency.
Normal Distribution
Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graphical form, the normal distribution appears as a bell curve.
The plot of normal distributions A and B
A has the larger standard deviation
Correct option is C
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The Mean Corporation manufactures a line of unassembled furniture. Based on historical evidence, the customer service manager knows that the proportion of customers that have not had any problems with assembling the furniture at home is 0.63.
Improvements have been made to the instructions provided with the furniture, and the customer service manager believes that this will increase the proportion of customers that can assemble the furniture without problems (TT) to above 0.63. A hypothesis test is conducted in order to find out.
The null and alternative hypotheses are:
H0: Pi symbol = 0.63
HA: Pi symbol > 0.63
To run the test, the manager randomly selects a sample of 102 people and asks them to assemble a piece of furniture produced by the Mean Corporation. The proportion of people in this sample that succeed is 0.67. You may find this standard normal table useful throughout this question.
a)Calculate the test statistic (z). Give your answer to 2 decimal places.
z =
b)Calculate the P-value. Give your answer as a decimal to 4 decimal places.
P =
Answers
The test statistic z = 0.84 and P-value is 0.2005 when there is a line of unassembled furniture produced by The Mean Corporation.
Given that,
There is a line of unassembled furniture produced by The Mean Corporation. The customer care manager is aware that 0.63 of customers have had no issues putting together their furniture at home based on past data.
The null and alternative hypotheses are:
H₀: π = 0.63
H₁: π > 0.63
We have to find
(a) Calculate the test statistic (z).
(b) Calculate the P-value.
We know that,
a) z = p - π / √(π(1-π)/n)
= 0.67 - 0.63 / √(0.63×0.37/102)
= 0.04 / 0.0478
= 0.84
b) p value(one tailed) is 0.2005.
Therefore, The test statistic z = 0.84 and P-value is 0.2005 when there is a line of unassembled furniture produced by The Mean Corporation.
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Simplify the expression (9-4i)(-7-4i)-(12-3i)
Answers
Hope this helps
4. Find the average value of the given function on the given interval. Then find all points c whose existence is guaranteed by the Mean Value Theorem for Integrals. (a) f(x) = x2 – 8x + 10 on (2, 5] (b) f(x) = Vx on [1, 16]
Answers
The average value of the given function on the given interval is = 7/2 and 6.25 respectively
What is Average?
The middle number, which is obtained by dividing the sum of all the numbers by the variety of numbers, is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.
(a) f(x) = x2 – 8x + 10
f = 1/b-a [tex]\int\limits^b_a {f(n)} \, dx[/tex]
f = 1/5-2 [tex]\int\limits^5_2 {x^{2} -8x+10} \, dx[/tex]
Here, a=2
b=5
f(x) =x2 – 8x + 10
f = 1/3 (x³/3 - 8x²/2+10x)5/2
f = -25/9 -20/9
f = -45/9
= -5
Mean Value Theorem
If f(x) = continous on (a, b)
If f(x) = differentiable on (a, b)
Then f(c) = f(b) -f(a)/b-a
were c∈ (a,b)
Here, f(c) = f(-5)-f(2)/5-2
f(c) = -5+2/3
f(c) = -1 ......................(1)
Here, f(x) = x²-8x+10
f(c) = c²-8c+10
f(x) = 2c-8...................(2)
equating 1&2
2c -8 = -1
2c = -1 +8
c = 7/2
c∈ (2,5)
(b) f(x) = Vx on [1, 16]
f = [tex]\sqrt{x}[/tex] on (1 ,16)
f= 1/b-a [tex]\int\limits^b_a {f(n)} \, dx[/tex]
f = 1/16-1 [tex]\int\limits^6_1 {\sqrt{x} } \, dx[/tex]
f = ( 2x (3/2)/45)₁¹⁶
f = 128/45-2/45
f = 126/45
= 14/5
Mean Value Theorem
f(x) = [tex]\sqrt{x}[/tex]
f(c) =[tex]\sqrt{c}[/tex]
f(c) = 1/2[tex]\sqrt{c}[/tex]....................(1)
we know that
f(c) = f(b)-f(a)/b-a
f(c) = f(16)-f(1)/16-1
f(c) = [tex]\sqrt{16}[/tex] -[tex]\sqrt{1}[/tex]/15
f(c) = 4-1/15
= 3/15.....................(2)
Equating (1) and (2)
1/2[tex]\sqrt{c}[/tex] = 3/15
2[tex]\sqrt{c}[/tex] = 15/3
2[tex]\sqrt{c}[/tex] = 5
[tex]\sqrt{c}[/tex] = 5/2
c = (5/2)²
=25/4
c≅ 6.25
6.25 = (1 ,16)
The average value of the given function on the given interval is = 7/2 and 6.25 respectively
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A 32-foot ladder leans against the building. Find the ground distance from the foot of the ladder to the building, if the angle of elevation is 45 °.
Answers
Answer:
Below
Step-by-step explanation:
This is a right triangle
the two legs are equal and the hypotenuse is 32 ft
Here is a way to calculate the answer with Pythagorean theorem
32 ^2 = L^2 + L^2
512 = L^2
L = sqrt (512) = 22.6 ft
Which ordered pair is a solution to the system of linear equations 2x 3y equals 6?; What does 0 0 indicate about the solutions of the system Brainly?; What does 0 0 mean regarding the solution to the system?
Answers
The ordered pair which is a solution to the system of linear equations (0,2).
In mathematics, a system of linear equations refers to a collection of one or more linear equations which involve the same variables. In order to solve the system of linear equations, multiply each equation by a constant such as the coefficient of one variable becomes the same.
Hence, multiply 2x + 3y= 6 by 3 and –3x + 5y = 10 by 2.
3 (2x + 3y= 6)
6x + 9y = 18
2(–3x + 5y = 10)
-6x + 10 y = 20
Adding the two equations
6x + 9y = 18
-6x + 10 y = 20
19y = 38
y = 2
Substitute y in either of the equations:
2x + 3(2)= 6
2x = 6 – 6 = 0
x = 0
Hence, the solution is (0, 2)
The ordered pair (0,0) is not a solution as it will invalid the given linear equation.
Note: The question is incomplete. The complete question probably is Which ordered pair is a solution to the system of linear equations? 2x + 3y= 6 and –3x + 5y = 10. (0,2) (2,0) (3,2) (2,3)
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If other factors are held constant, which of the following sets of data would produce the largest value for an independent-measures t statistic? The two samples both have n 15, with sample variances of 20 and 25. The two samples both have n 15, with variances of 120 and 125. The two samples both have n 30, with sample variances of 20 and 25. The two samples both have n 30. with variances of 120 and 125 Save Question 15 (1 point) For the repeated measures t statistic. df n1 + n2 2 n1 -1)+ (n2 1) Save Question 16 (1 point
Answers
If other factors are held constant, sets of data that would produce the largest value for an independent-measures t statistic is the two samples both have n =30, with sample variances of 20 and 25
In a T test, the T statistic is used to help you decide whether to accept or reject the null hypothesis.
You utilize it in a manner that is quite similar to using a Z-score. When you don't know the population standard deviation or have a limited sample size, you use the t statistic.
You employ the T statistic with a p value while performing a hypothesis test. Your results' likelihood of being the result of chance is indicated by the p-value. Typically, in statistics, you use a T Test with a T Statistic rather than a Z score because you don't know much about the population.
To have larger t value , Combined standard deviation should be less
Therefore, n should be large and standard deviation should be less
Hence , The two samples both have n=30, with sample variances of 20 and 25 will provide us larger t-statistics
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Please help!!
What is 9 x (46+70) 5 - 32 (40 - 219) =
Answers
9 x (46+70) 5 - 32 (40 - 219) = 11428
Using the BODMAS rule, we solve the brackets first,
9 x (46+70) 5 - 32 (40 - 219)
= 9 x 116 x 5 - 32 x -179
Next, we solve the multiplication signs
9 x 116 x 5 - 32 x -179
= 5520 - ( -5728)
Solving the subtraction sign, we get
5520 - ( -5728)
= 11428
Hence, the answer is 11428
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Which equation represents a line that passes through two negative 1/2 and has a slope of 3?; Which equation represents a line that has a slope of 1/3 and passes through point 2 1?; Which equation represents a line that passes through (- 9 3 and has a slope of?; Which equation represents a line that passes through 5 1 and has a slope of StartFraction one half EndFraction?
Answers
The equation of the line is y+1/2=3(x-2) when a line with a slope of 3 and passes through the points (2, -1/2).
Given that,
We have to find what is the equation describes a line with a slope of 3 and passes through the points (2, -1/2).
We know that,
The equation of the line is represented by (y-y₁)=m(x-x₁)
Here,
Point (2,-1/2)
Slope is 3.
Substitute in the equation,
(y-(-1/2)=3(x-2)
(y+1/2)=3(x-2)
Therefore, The equation of the line is y+1/2=3(x-2) when a line with a slope of 3 and passes through the points (2, -1/2).
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1. At a clothing store, a pair of jeans costs $75. Using a coupon, Terese buys the jeans for $18.75 less than the original price. Complete the table.
Dollar Amount
Percentage
% off the original amount.
3.
The coupon gives Terese
How much did Terese pay for the jeans (before tax)?
it is:
4. In a bag of candy, 25% are yellow. There are 60 candies in the bag. How man' yellow candies are there?
5. For one math test, Blair had to answer 35 questions. Of those 35 questions, h answered 27 correctly. What percent did Blair get on his math test? Round to nearest percent.
6. Jeffrey has 60% as much money as Louis. Louis has $110. Select all true
statements.
• Jeffrey has $66.
• Jeffrey has $44.
• Jeffrey has - as much as Louis.
• Jeffrey has as much as Louis.
• Jeffrey has $48.
• Louis has as much as Jeffrey
• Louis has
as much as Jeffrey
Answers
1. Completing the percentage table about the payment for a pair of jeans bought by Terese at a clothing store is as follows:
Dollar Amount Percentage
% off the
original amount
$75 25%
2. The coupon gives Terese 25% off the original amount.
3. The amount Terese paid for the jeans (before tax) was $56.25.
4. The number of yellow candies in the bag is 15.
5. In the Math test, Blair, who answered 27 questions correctly out of 35, scored 77 percent.
6. The true statement about the amount of money Jeffrey has concerning Louis is A. Jeffry has $66.
a) Clothing Store:Cost of a pair of jeans = $75
Coupon value = $18.75
Amount paid = $56.25
The coupon percentage = 25% ($18.75/$75 x 100)
b) Bag of Candy:Yellow candy = 25%
The total number of candies in the bag = 60
The number of yellow candy = 15 (60 x 25%)
c) Math Test:The total number of questions = 35
The number of questions answered correctly = 27
Percent scored by Blair = 77% (27/35 x 100)
d) Jeffrey and Louis:The amount of money Louis has = $110
The percentage of Louis' money that Jeffry has = 60%
The amount Jeffry has = $66 ($110 x 60%)
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Find the equation of the line through (−2,−5) which is perpendicular to the line y=x3+7.
Answers
The equation of the line perpendicular to the line y = 3x+7 is 3y = -x-17
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Given that, a line is perpendicular to line y = 3x+7 and passing through points (-2,-5)
The slope of perpendicular lines is negative reciprocal of each other.
Therefore, the slope of the asked line is -1/3
Finding c,
-5 = -1/3x(-2)+c
c = -17/3
Therefore, the equation of the line is y = -1/3x-17/3 or 3y = -x-17
Hence, The equation of the line perpendicular to the line y = 3x+7 is
3y = -x-17
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what is 7.04 as a mixed number
Answers
Answer:
you answer is 7 1/25
Step-by-step explanation:
0.04 ---> 1/25
7 ---> 7
7 + 1/25 = 7 1/25
An urn contains 19 red marbles, 19 blue marbles, and 42 yellow marbles. One marble is to be chosen from the urn without looking. What is the probability of choosing a red or a blue marble? Your answer should be rounded to 4 decimal places.
Answers
The probability of choosing a red or a blue marble is 0.475.
What is probability?
Probability is that the branch of arithmetic regarding numerical descriptions of however probably an incident is to occur, or however probably it's that a proposition is true. The likelihood of an incident could be a range between 0 and 1.
Main body:
number of red marbles =19
number of blue marbles = 19
number of yellow marbles = 42
total number of balls = 19+19+42
=80
probability of choosing a red or a blue marble = 19+19
P(red or blue ) = 38/80
= 0.475
hence the probability of choosing a red or a blue marble is 0.475.
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Which of the following pricing strategies could be ethical in many situations? A.Predatory pricing
B.Price baiting
C.Price gouging
D.Price discrimination
Answers
The following pricing strategies could be ethical in many situations is price discrimination.
Predatory pricing is a strategy in which a company establishes a price that is too low to get new customers.
Price baiting is a strategy in which businesses make customers believe that they will have to pay less than the actual price of the product.
Price gouging is when a company puts a price that is too high for a product in a level that is not reasonable and this is considered to be unethical.
Price discrimination is a strategy in which businesses charge different prices to different customers based on what they believe that a group of customers would be willing to pay.
For example, when an airline sees that a specific route has a high demand, it increases the price of the ticket.
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Answer:
D. Price discrimination
a 60-hz induction motor is needed to drive a load at approximately 895rpm. part a determine the maximum number of poles required to drive the load at 895 rpm . express your answer as an integer. p
Answers
The maximum number of poles required to drive the load is 8.
full load speed = 120*f/p
850 = 120*60/p
p = 120*60/850
p = 8.47
since no. of poles are even so
p = 8
if number pole p = 8
synchronous speed Ns = 120*f/p = 120*60/8 = 900RPM
SLIP = (Ns - N)/Ns
s = (900-850)/900
s = 0.056
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write an explicit formula for an, the nth term of the sequence 25,33,41
Answers
Answer:
[tex]a_{n}[/tex] = 8n + 17
Step-by-step explanation:
there is a common difference between consecutive terms in the sequence
33 - 25 = 41 - 33 = 8
this indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 25 and d = 8 , then explicit formula is
[tex]a_{n}[/tex] = 25 + 8(n - 1) = 25 + 8n - 8 = 8n + 17
A restaurant offers delivery for their pizzas the total cost is a delivery fee added to the price of the pizzas one costumer pays 25 to have 2 pizzas delivered another customer pays 58 to 5 pizzas how many pizzas are delivered to a customer who pays 80 explain or show your reasoning
Answers
The number of pizzas delivered to a customer who pays $ 80 is 7 pizzas
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the number of pizzas be x₁ = 2
Let the cost of 2 pizzas be y₁ = $ 25
So , the first point A ( x₁ , y₁ ) = A ( 2 , 25 )
Now ,
Let the number of pizzas be x₂ = 5
Let the cost of 5 pizzas be y₂ = $ 58
So , the second point B ( x₂ , y₂ ) = B ( 5 , 58 )
Therefore , the slope of the 2 points is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 58 - 25 ) / ( 5 - 2 )
Slope m = 33 / 3
Slope m = 11
Therefore , the equation of the line is given by
y - y₁ = m ( x - x₁ )
Substitute the value of m in the equation , we get
y - 25 = 11 ( x - 2 )
y - 25 = 11x - 22
Adding 25 on both sides of the equation , we get
y = 11x + 3
So , the equation of line is y = 11x + 3
Now , the customer pays $ 80 , so to find the number of pizzas the customer gets can be calculated by substituting the value of y = 80
And ,
y = 11x + 3
80 = 11x + 3
Subtracting 3 on both sides of the equation , we get
11x = 77
Divide by 11 on both sides of the equation , we get
x = 7 pizzas
Therefore , the number of pizzas is 7 pizzas
Hence ,
The number of pizzas delivered to a customer who pays $ 80 is 7 pizzas
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Which are ways of showing probability select 4?; Can 5 by 4 Be the probability of an event justify your answer?; Can 3 by 5 be the probability of an event?
Answers
5/4 cannot be the probability of an event as its value is greater than 1 and probability always lies between 0 and 1. Yes, 3 by 5 can be the probability of an event.
We know that the probability of an event is the chance of occurring of an event. The ways of showing probability could be in ratio or it could be in percentage and the percent may be between 0%-100%
The value of 5/4 = 1.25 which is greater than 1, so it cannot be the probaility of any event.
The value of 3/4 = 0.75, its value is less than 1, so it can be the probability of an event.
The probability of an event always lie between 0 and 1. It is equal to zero if the event will never occur and is equal to 1 if the event is certain to occur.
Therefore, the probability of an event cannot be 5/4 but 3 by 5 can be the probability of an event. as its value of 5/4 is greater than 1 whereas the value of 3/5 is less than 1 and probalilty always lies between 0 and 1.
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The amount of goods and services that costs $200 on January 1, 1997 costs $230.16 on January 1, 2006. Estimate the cost of the same goods and services on January 1, 2013. Assume the cost is growing exponentially. Round your answer to the nearest cent. Table
Answers
As per the exponential growth function, the cost of the same goods and services in January 1, 2013 is $291.54
Exponential growth function:
In statistics, exponential growth function mean a pattern of data that shows greater increases with passing time, creating the curve of an exponential function.
Given,
The amount of goods and services that costs $200 on January 1, 1997 costs $230.16 on January 1, 2006.
Here we need to estimate the cost of the same goods and services on January 1, 2013 and also assume the cost is growing exponentially. Round your answer to the nearest cent.
Here we know that the value of
Cost on 1997 = $200
Cost on 2006 = $230.16
So, the time difference is
=> 2006 - 1997 = 6
And the amount difference is
=> $30.16
So, based on the exponential growth function, the cost of goods and services at the time of 2013 is
=> 200 + ( 1 + 30.16)⁶
=> 200 + 91.54
=> 291.54
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The actual voltages of power packs labeled as 12 volts are as follows: 11.77, 11.90, 11.64, 11.84, 12.13, 11.99, 11.77.
Referring to Table 1 a confidence interval for this sample would be based on the t distribution with __________ degrees of freedom.
Referring to Table 1, the critical value for a 99% confidence interval for this sample is __________.
Referring to Table 1, a 99% confidence interval for the mean voltage of the power packs is from __________ to __________.
Answers
For this sample, a confidence interval based on the t distribution with 95% degrees of freedom would be appropriate.
Confidence interval: What is it?In most research, the 95% confidence interval (95 CI) is reported. If the confidence interval (e.g., 95%CI 0.9-1.1) crosses 1, it is assumed that there is no difference between the research arms.
In the two-tailed t table, determine the critical value of t. Add s/n to the crucial value of t. Calculate the top limit of the confidence interval by adding this value to the mean, and the lower limit by deducting this value from the mean.
With a significance level of 0.05 (i.e., a confidence level of 95%), the confidence interval is calculated using the T function.
The critical value for a 99% confidence interval for this sample, according to Table 1, is 2.576.
The t distribution is a symmetric distribution with a peak in the middle that gets closer to the horizontal axis as it moves away from the centre.
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jennie charges $200 per passenger for a sunset sailing tour on her catamaran, while paul charges $250 per passenger. we can define the amount of money each person earns per cruise as a random variable. let a
Answers
According to the given charges, the mean of the sum would be as follows $1,692.5 and the difference of the amount of money earned by Jennie and Paul would be $-232.5
Mean:
In statistics, mean refers the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers
Given,
As Jennie charges $200 per passenger for a sunset sailing tour on her catamaran, while Paul charges $250 per passenger. we can define the amount of money each person earns per cruise as a random variable.
Here we need to find the mean and the difference of the amount of money earned by Jennie and Paul.
Let us consider x be the amount earned by Jennie and y be the amount earned by Paul.
While we looking into the given question , we have identified the value of the following,
=> Money earned by Jennie(A) = 200x
=> Money earned by Paul(B) = 250 X
Here the value of μ = $730 and σ = $ 192.62 for Jennie
And the value of Paul is μ = $962.5 and σ = $253.425
Then the mean of the sum is calculated as,
=> 730 + 962.5 = 1292.5
Similarly, the difference of the amount of money is calculated as,
=> -232.5
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Answer:
D) On average, Jennie makes $232.50 less than Paul in a typical cruise.
Step-by-step explantion
I need this please help me
Answers
Answer:
isnt it 72
Step-by-step explanation:
since it is that kind of triangle
Which one is not a polynomial? (a) 4x² + 2x-1 (b) x²-1
(c) y² + 5y + 1
Answers
So option b. x² -1 is the correct option of the given statement Because option b satisfy the requirement of not a polynomial.
In mathematics, what does a polynomial mean?An expression for a polynomial can be generated using only the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables (also known as indeterminates) and coefficients make up a polynomial.
What makes a polynomial unique?It is possible to identify the polynomials by seeing which formulae only include the operations addition, subtraction, multiplication, and non-negative integer exponents. Expressions that include extra operations are regarded as non-polynomial expressions. Specify the grounds for the expressions' non-polynomial status.
Which regulations apply to polynomials?Any function in an equation that uses only positive integer exponents or non-negative integer powers of a variable is known as a polynomial function. These equations include, for instance, the cubic equation, the quadratic equation, and others. A polynomial with an exponent of 1 is, for instance, 2x+5.
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Independent random samples, each containing 80 observations, were selected from two populations. The samples from populations 1 and 2 produced 33 and 28 successes, respectively.
Test H0:(p1−p2) = 0 against Ha:(p1−p2) ≠ 0. Use α = 0.05
The test statistic should be: _______
The P-value is _______
Answers
From two populations, independent random samples were drawn, each having 80 observations. The test statistic should be z = 2.18 because samples from populations 1 and 2 yielded 33 and 28 successes, respectively.
P-value is set at 0.030.
State the null and alternate hypotheses in step one.
H0: (p1-p2) = 0
Ha: (p1-p2) ≠ 0
Step 2: Calculate the test statistic
We can calculate the test statistic using the formula:
z = (p1-p2)/√(p(1−p)(1/n1+1/n2))
where,
p = (successes in sample 1 + successes in sample 2)/(n1+n2)
= (33 + 28)/(80 + 80)
= 61/160
= 0.30
n1 = sample size of population 1
= 80
n2 = sample size of population 2
= 80
Therefore,
z = (p1-p2)/√(p(1−p)(1/n1+1/n2))
= (33/80 - 28/80)/√(0.38125(1−0.38125)(1/80+1/80))
=2.18
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suppose gabriel and nia are playing a game that requires both to simultaneously choose an action: up or down. the payoff matrix that follows shows the earnings of each person as a function of both of their choices. for example, the upper-right cell shows that if gabriel chooses up and nia chooses down, gabriel will receive a payoff of 6 and nia will receive a payoff of 4. nia up down gabriel up 6, 3 6, 4 down 3, 3 7, 4
In this game, the only dominant strategy is for........ to choose.......
The outcome refiecting the unique Nash equilibrium in this game is as follows: Gabriel chooses.............. and Nia chooses..............
Answers
The payoff matrix that Gabriel and Nia use demonstrates the zero-sum between two players by showing each person's earnings as a function of both of their choices.
The reward matrix or payoff matrix is a double-entry table, similar to another Table, that holds all of the payments made by one player to the other for each selected strategy. Since one player's payment equals the other player's gain, the game is referred to as zero-sum.
The example case scenario can be used to demonstrate the calculation in the payout matrix above;
If the row player has n strategies and the column player has m strategies, the matrix must have n & m cells and contain a total of 2 n m reward values. The row player's name appears in a payment matrix to the left of the matrix, while the column player's name appears above the matrix. Since one player's payment equals the other player's gain, the game of payout matrix is referred to as zero-sum.
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4 is multiplied by the difference of 5 and a number.
Answers
Answer:
The difference is multiplied by 4 can be represented as 4 (x - 1/2) According to the question, 4 (x - 1/2) = 5 x - 1/2 = 5/4 x = 5/4 + 1/2 x = (5 + 2)/4 x = 7/4 Therefore, the number is 7/4.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Im assuming the question is to write this into actual numbers,
answer: 4(5-x)
which of the following statements regarding the expansion of xyn are correct? A. The coefficients of xn and y^n both equal 1.
B. For any term x^ay^b in the expansion, a + b = n.
C. For any term x^ay^b in the expansion, a - b = n.
D. The coefficients of x^ay^b and x^by^a are equal.
Answers
Although part of your question is missing, you might be referring to this full question: Which of the following statements regarding the expansion of (x + y)^n are correct?
By expanding the exponential expressions, the answers are option A, B, and D.
The exponential expressions: (x + y)^n
Which means that we multiply the polynomial (x + y) by itself n times.
How do we analyze each statement?Option A.
This statement is true, because there is only one x in the original polynomial, and we multiply it by itself n times, then we can have only one term equal to x^n (or y^n).
Option B.
This statement is true, because if we multiplicate the variables by themselves n times, then the degree of the term also has to be n. Since for a term: (x^a)*(y^b) the degree is a + b; then it always be a + b = n.
Option C.
This statement is false, because of the same reasons in Option B.
Option D.
This statement is true, because in the original polynomial the coefficients of y and x are the same, then in the expansion the coefficients of the reflected terms like (x^a)*(y^b) and (x^b)*(y^a) are equal.
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