In 2019, 15.9% of Broadway actors were acting in their first role on Broadway. Suppose we took a survey of 38 Broadway actors and found that 18.4% of the actors we surveyed were first-timers. What are the mean and standard deviation for the sampling distribution of pÌ p^? 1. Mean: 0.159, Standard Deviation: 0.0592. Mean: 0.159, Standard Deviation: 0.36573. Mean: 0.184, Standard Deviation: 0.0634. Mean: 0.184, Standard Deviation: 0.0595. Mean: 0.159, Standard Deviation: 0.063In 2019 the CDC reported that 14.0% of US adults are smokers. Suppose you take a random sample of 30 smokers and find that the proportion of them who are current smokers is 16.7%.What is the mean and the standard deviation of the sampling distribution of pÌ p^ ?1. mean = 0.140, standard deviation = 0.0682. mean = 0.167, standard deviation = 0.0633. mean = 0.140, standard deviation = 0.0634. mean = 0.167, standard deviation = 0.068

Answers

Answer 1

Answer:

For the Broadway actors acting in their first role on Broadway, mean: 0.184, Standard Deviation: 0.063.

For the proportion of smokers, mean = 0.167, standard deviation = 0.068

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Suppose we took a survey of 38 Broadway actors and found that 18.4% of the actors we surveyed were first-timers.

This means that [tex]p = 0.184, n = 38[/tex]

What are the mean and standard deviation for the sampling distribution of p^?

Mean:

[tex]\mu = p = 0.184[/tex]

Standard deviation:

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.184*0.816}{38}} = 0.063[/tex]

Suppose you take a random sample of 30 smokers and find that the proportion of them who are current smokers is 16.7%.

This means that [tex]n = 30, p = 0.167[/tex]

What is the mean and the standard deviation of the sampling distribution of p^ ?

Mean:

[tex]\mu = p = 0.167[/tex]

Standard deviation:

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.167*0.833}{30}} = 0.068[/tex]


Related Questions

find the equation of the line which is parallel to the line 5 x + 4y = 18 and makes an intercept of 2 units on the x-axis ​

Answers

Answer:

[tex]{ \underline{ \sf{equation \: is : \: y = - \frac{5}{4} x + 2 }}}[/tex]

Step-by-step explanation:

[tex]y = mx + c \\ 4y = - 5x + 18 \\ y = - \frac{5}{4} x + \frac{9}{2} [/tex]

since it is parallel, the gradients are the same; m = -5/4

[tex]y = - \frac{5}{4} x + 2[/tex]

Answer:

y=-5x+2

Step-by-step explanation:

x intercept=2

points will be (2,0)

slope of given line:

4y=-5x+18

y=mx+c

comparing equation:

m=-5

lines are parallel so given slope is equal to required slope.

using point slope form:

y-0=-5(x-2)

y=-5x+2

What are all the factors of 618?

Answers

Answer:

1, 2, 3, 6, 103, 206, 309, 618

which is more 1 ton or 2,884 pounds?

Answers

1 ton i think! i hope this helps
2,884 pounds 1 ton is only 2,000 pounds

Supervisor: "I need you to increase the number of customers you talk to daily by
20%."
Employee: "I talk to an average of 8 customers per hour during an 8 hour shift so
now I'll need to talk to customers per day."
68
77
85
97
160
NEXT

Answers

Answer:

77

Step-by-step explanation:

Currently:

Talk to 8 customers per hour, work 8 hours, so:

Talk to 8*8 = 64 customers.

With the increase:

Has to increase by 20%, so 64 is multiplied by 1 + 0.2 = 1.2. Then

64*1.2 = 76.8

Rounding up, 77 is the answer.

Find the remainder when f(x)= 8x^3+ 4x^2
13x + 3 is divided by 2x + 5.

Answers

Answer:

-129

Step-by-step explanation:

2x+5=0

x=-5/2 [By the remainder theorem]

f(-5/2)=8(-5/2)^3+4(-5/2)^2+13(-5/2)+3

=-125+25-65/2+3

=-129.

Cheyenne's bi-weekly gross pay is $529.81. She sees that $18.54 was deducted for Medicare tax. What percent of Cheyenne's gross pay has been withheld for Medicare tax? Round to the nearest tenth. (2 points)
0.35%
2.2%
3.5%

Answers

18.54/529.81= 0.0349
0.0349*100=3.49%= 3.5%

Answer:

I got 3.5%

Step-by-step explanation:

Hope this helps

I’m sorry, I suck at math, can someone please help me with this?

Answers

Answer:

w¹×w¹×w¹=w¹+¹+¹= w³

formula is a^m×a^n=a^m+n

Select the correct answer.
As part of a class project, a university student surveyed the students in the cafeteria lunch line to look for a relationship between eye color and hair color among students. The table below contains the results of the survey.

Answers

Answer: Choice B)  0.27

=========================================================

Explanation:

There are a lot of data values here, and it's possible to easily get lost in them. However, we're asked only about students with blond hair. So we only focus on the first row. Ignore everything else.

We see that there are 78 of these students total. Of this total, 21 have green eyes.

Therefore, the relative frequency of blonds with green eyes is 21/78 = 0.2692 which rounds to 0.27; so that's why the answer is choice B.

find the LCM of 220,440,660 by common division method​

Answers

Answer: LCM = 1320

Step-by-step explanation:

2 | 220, 440, 660

2 | 110, 220, 330

2 | 55, 110, 165

3 | 55, 55,165

5 | 55, 55 , 55

11 | 11, 11, 11

| 1, 1, 1

= 2 × 2 × 2 × 3 × 5 × 11

= 1320

Therefore the LCM is 1320

Must click thanks and mark brainliest

6 times the sum of 5 and K​

Answers

Answer:

6(5+k)

Step-by-step explanation:

The sum of 5  and k

5+k

6 times the sum

6(5+k)

I really need the help please and thank you

Answers

BBBBB BBBBBBBBBBBBBBBBBBBBBBBBBBBB

What type of number can be written as a fraction

Answers

Answer:

a rational number is a number that can be written as a fraction

I hope this helps

A firm has a beta of 1.3 and a debt-to-equity ratio of .4. The market rate of return is 11.6

percent, the tax rate is 32 percent, and the risk-free rate is 3.3 percent. The pretax cost of debt

is 7.2 percent. What is the firm's WACC?

Answers

The WACC of the firm is 17.05%

The first step is to write out the parameters given in the question;

Beta= 1.3

Debt to equity ratio= 0.4

Market rate of return= 11.6%

= 11.6/100

= 0.116

Tax rate= 32%

= 32/100

= 0.32

Risk free rate=  3.3%

= 3.3/100

= 0.033

Pretax cost of debt= 7.2%

= 7.2/100

= 0.072

The firm's WACC can be calculated as follows

RS= 0.033+1.3(0.116-0.033)

= 0.033+1.3(0.083)

= 0.033+0.1079

= 0.1409

WACC= (1/1.4)(0.1409)+(2/1.4) (0.072)(1-0.32)

= (0.7142)(0.1409) + (1.4285)(0.072)(0.68)

= 0.1006+0.0699

= 0.1705(100)

= 17.05%

Hence the firm's WACC is 17.05%

Learn more via the link below

https://brainly.com/question/23926595?referrer=searchResults

In a certain country people own a total of about 352 million fish, cats, and dogs as pets. The number of fish owned is 14 million more than the total number of cats
and dogs owned, and 11 million more cats are owned than dogs. How many of each type of pet do people in this country own?

Answers

Answer:

dogs = 79

dats = 90

fish = 183

Step-by-step explanation:

let the total number of dogs owned be x

no. of cats owned = x+11

no. of fish owned = x+11+x+14= 2x+25

hence,

2x+25+x+11+x=352

4x=316

x=316/4= 79mil

no. of cats owned = 79 + 11 = 90

no. of fish owned = 2(79)+25=183

Determine whether (a) x = -1 or (b) x = 2 is a solution to this equation

Answers

Answer:

x = 2 is the solution to x + 1.5 = 3.5

Step-by-step explanation:

x + 1.5 = 3.5

   -1.5      -1.5

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

x = 2

I need you guy’s help answer thanks so much

Answers

Answer:

B. 7i

Step-by-step explanation:

first we need to find the root of the expression

[tex]\sqrt{-49} = \sqrt{49} *\sqrt{-1} \\ \\ \sqrt{49} = 7\\\\and\\\\ \sqrt{-1} = i[/tex]

so the answer is B. 7i

The polynomial p(x) = x3 – 7x - 6 has a known factor of (x + 1).
Rewrite p(x) as a product of linear factors.
p(x)

Answers

Hi there!

[tex]\large\boxed{(x -3)(x + 2)(x + 1)}[/tex]

We can use long division to find the other roots of p(x).

We know that x + 1 is a factor, so:

Set up:

Find how many times that the first term in the divisor goes into the first of the dividend. Subtract from like terms.

         x² - x - 6

x + 1 | x³ + 0x² - 7x - 6

         x³ + x²

         0 - x²     - 7x

            - x²      - x

             0        - 6x - 6

                        -6x - 6

                          0     0

Therefore, x² - x - 6 is another factor. We can factor this further:

Find two numbers that add up to -1 and multiply into -6. We get:

-3, 2

(x - 3)(x + 2)

The entire polynomial factored is:

(x -3)(x + 2)(x + 1)

The table below shows the number of pets kept by the students in a class.
-----------------------------------------------------------
No. of pets | No. of students
-----------------------------------------------------------
0 | 9
1 | k
2 | 2
3 | 1
4 | 2
-----------------------------------------------------------
If the median number of pets is 1, what is the smallest value of k ?

Answers

Answer:

The answer for this question is 5

Estimating Mean SAT Math Score
Type numbers in the boxes.
aby Part 1: 5 points
The SAT is the most widely used college admission exam. (Most community
aby Part 2: 5 points
colleges do not require students to take this exam.) The mean SAT math score
varies by state and by year, so the value of u depends on the state and the year. 10 points
But let's assume that the shape and spread of the distribution of individual SAT math scores in each
state is the same each year. More specifically, assume that individual SAT math scores consistently
have a normal distribution with a standard deviation of 100. An educational researcher wants to
estimate the mean SAT math score (u) for his state this year. The researcher chooses a random
sample of 661 exams in his state. The sample mean for the test is 494.
Find the 99% confidence interval to estimate the mean SAT math score in this state for this year.
(Note: The critical z-value to use, zc, is: 2.576.)
Your answer should be rounded to 3 decimal places.

Answers

Answer:

(483.981 ; 504.019)

Step-by-step explanation:

Given :

σ = 100

Sample size, n = 661

xbar = 494

We use the Z distribution since we are working with the population standard deviation ;

C.I = xbar ± (Zcritical * σ/√n)

Zcritical at 99% = 2.576

C.I = 494 ± (2.576 * 100/√661)

C.I = 494 ± 10.019

Lower boundary = (494−10.019) = 483.981

Upper boundary = (494+10.019) = 504.019

C.I = (483.981 ; 504.019)

Find the sum end difference between the numbers 473 and the number obtained by reversing the digits​

Answers

Answer:

Step-by-step explanation:

The given number is 473

The reverse number is 374

The sum is (473 + 274) =  847

The difference is (473 - 274) = 99

by solving a pair of linear equation X + Y is equal to 20 and x-y=10 the value of 'x' and 'y' are​

Answers

Answer:

x=15, y=5

Step-by-step explanation:

x+y=20

x-y=10

Adding both equations;

(x+x) + (y-y) = 20+10

2x = 30

x = 30/2 = 15

Substitute x=15 into x+y=20

y= 20-x = 20-15= 5

A duck has 1,100 feathers. It went for a swim in a pond and lost 2/100 of its feathers. How many feathers did it lose?

Answers

Answer:

It lost 22 feathers.

Step-by-step explanation:

To complete this problem, this expression will be used: 2x/100.

2(1100)/100 {Multiply 2 by 1100}

2200/100 {Simplify by cancelling out 100}

22/1 {Divide}

22 feathers were lost.

Shahril bought a CD, 2 T-shirts and a pair of jeans for $133. Each
T-shirt cost $13 more than the CD. The pair of jeans cost $30 more
than each T-shirt. Find the cost of the CD.

Answers

Step-by-step explanation:

Let the price of CD, tshirt and jeans be x,y and z respectively.

given:

x+2y+2z=133......(i)

y=x+13.......(ii)

2z=y+30....(iii)

in eqn (iii) ,

2z=y+30

or, 2z=x+13+30

or, z=(x+43)/2....(iv)

now in eqn (i),

x+2y+2z=133

or, x+2(x+13)+2((x+43)/2) =133

or, x+2x+26+x+43=133

or, 4x=133-69

or, x= 64/4

•°• x=$16

If 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes what fraction of the girls in class have neither blue or brown

Answers

1/12, make the denominators the same by making the 12 that makes 8/12 and 3/12 together it’s 11/12 which means 1/12 I not blue or brown

PLEASEEEE HELP I WILL GIVE BRAINLIEST


choose the equation for the graph.

Answers

Answer:

c

Step-by-step explanation:

plz gimme brainliest

i promise u its c

Answer:

c

Step-by-step explanation:

If p is a given sample proposition n is the sample size, and a is the number of standard deviations at a confidence level, what is the standard error of the proportion?

Answers

Answer:

The standard error of a proportion p in a sample of size n is given by: [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

The standard error of a proportion p in a sample of size n is given by: [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

(a) A body of mass 2kg is placed on a rough plane inclined at an angle of 30° to the
horizontal. The coefficient of friction between the body and the plane is 0.25. Find the
least force needed to prevent the body from slipping down the plane if this force acts
upwards at an angle of 30° to the line of greatest slope.

Answers

Answer:

8.6 N

Step-by-step explanation:

Let T be the unknown force

Let θ be the slope of the inclined plane to horizontal

Let φ be the angle of the force to the plane

Let μ be the coefficient of static friction

Let m be the mass

Let N be the Normal force of plane on mass

Let Ff be the friction force which will have a maximum at μN

Let g be gravity

Forces acting parallel to the plane. Upslope is positive

For minimum force T, friction will be max and acting upslope.

                               F = ma

Tcosφ - mgsinθ + Ff = m(0)

Tcosφ - mgsinθ + μN = 0

Tcosφ - mgsinθ + μ(mgcosθ - Tsin(θ + φ)) = 0

T(cosφ - μsin(θ + φ)) + μmgcosθ - mgsinθ = 0

T  = mg(sinθ - μcosθ) / (cosφ - μsin(θ + φ))

T  = 2(9.8)(sin30 - 0.25cos30) / (cos30 - 0.25sin(30 + 30))

T = 8.5547537...

A garden table and a bench cost $717 combined. The garden table costs $67 more than the bench. What is the cost of the bench?

Answers

Subtract the difference form the total:

717 - 67 = 650

Divide the remaining amount by 2:

650/2 = 375

The bench cost$375

Canada has a population of 33 million while Russia has 144 million inhabitants. Indonesia population is 50% greater then that of Russia while it is only 72% of the population of the United States. How many million people must be added to the United States so that the population of that country becomes 10 times of Canada?

Answers

Answer: 30 million people must be added.

Step-by-step explanation: 50% of 144 million is 72 million. You add these to find Indonesia’s population. 144 million + 72 million= 216 million. If 216 million is only 72% of the US population, then divide 216 million by 72 to find 1%. 216 million/72=3 million. Multiply this by 100 to find the US population. 3 million times 100= 300 million. Now, multiply Canada’s population by 10. 33 million times 10= 330 million. Finally, subtract 300 million from 330 million to find the amount needed to make the US population 10 times that of Canada’s. 330 million-300 million=30 million. So , you need 30 million people in order to make the US population 10 times that of Canada’s.

Determine whether the ordered pair is a solution of the equation. Show your work to receive credit.

9. Is (-1,3) a solution to the equation y = -3x + 10?

10. Is (7,-2) a solution to the equation x – 4y = 15?

Please show work to help me understand.

Answers

Answer:

3=3 + 10

3 = 13(NO)

x-4y=15

7--8=15

15=15(YES)

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If a corporation is socially responsible, it will develop and implement a sustainability plan and communicate it to stakeholders.TrueFalse a. Download the attached Greetings.java file.b. Implement the getGreetings method, so that the code prompts the user to enter the first name, the last name, and year of birth, then it returns a greetings message in proper format (see the example below). The main method will then print it out. Here is an example dialogue with the user:Please enter your first name: tomPlease enter your last name: cruisePlease enter your year of birth: 1962Greetings, T. Cruise! You are about 50 years old.Note that the greetings message need to be in the exact format as shown above (for example, use the initial of the first name and the first letter of the last name with capitalization).c. Submit the final Greetings.java file (DO NOT change the file name) online. Find the length of PR from the given figure ( step by step ). If the areas of the given pairs of shapes are equal, find the value of x. Which is the best way to write (8/x) as a verbal expression? what is element Na in a periodic table Select THREE expressions that are equivalent to -16x - 68. A. -4(4x - 17) B. -2(8x + 34) C. 2( - 8x - 34) D. 4( - 4x - 17) E. 8( - 2x - 8) got it wrong the first time :( For humans, brown eyes (B) are dominant over blue eyes (b). If a heterozygous brown-eyed male had a child with a blue-eyed female, what percentage of the offspring (F1 generation) would have blue eyes? Choose the best answer that represents the property used to rewrite theexpression.log root(12, 125x ^ 3) = 1/4 * log 5x A computer that supports LoJack technology must have two main components installed. It needs an Application Agent (residing in the OS), which sends tracking signals that enable location and recovery of a stolen device. The other component is a Persistence Module, which restores the Application Agent and allows it to survive reinstallation of an operating system or reformatting of the hard drive. The highest level of security offered by LoJack can be achieved when Persistence Module resides in the: A student measures the volume of a small irregularly- shaped stone. Which apparatus must be used? a. a measuring cylinder containing water and a ruler only. b. a measuring cylinder containing water only. c. an empty measuring cylinder and a ruler only. d. a ruler only. why is repetition important in science? which of the following is not an Olympic sport? 1.swimming 2.wrestling 3.high jumping 4.skateboarding 1. Biochemical and differential tests can be incorporated into growth media or performed on isolated colonies after they have been cultured. Give three examples of a differential test that is incorporated into media and three examples that are applied after the colonies have been cultured. why is skilled human resource called an important infrastructure of development? Mention any 4 reasons. The fraction model below shows the steps that a student performed to find a quotient. Which statement best interprets the quotient? A: There are 5 1/5 five-sixths in 4 1/3. B: There 6 1/6 five sixths-in 4 1/3. C: There are 5 1/5 four and one-thirds in 5/6. D: There are 6 1/6 four and one-thirds in 5/6. Are you surprised to hear what Jesus said about the scribes and Pharisees? Those actions, don't we do the same thing? Whos glory do you seek and why? Matthew 23:23-26 PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!Which phrase matches the expression 2v?A. v divided by 2B. twice vC. 2 decreased by vD. 2 more than v solve for x please help (show ur work) Iiiteracy and poverty are the main causes of social evils." Do you agree with this statement? Write your logic?