(w+3)^2=2w^2+10w+12, solve for w

eu (european union) countries report that 46% of their labor force is female. The United Nations wnats to determine if the perce

Brrunno [24]

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

EU (European Union) countries report that 46% of their labor force is female. The United Nations wants to determine if the percentage of females in the U.S. labor force is the same. Based on a sample of 500 employment records, representatives from the United States Department of Labor found that the 95% confidence interval for the proportion of females in the U.S. labor force is 0.357 to 0.443. If the Department of Labor wishes to tighten its interval, they should:

A. increase the confidence level

B. decrease the sample size

C. increase the sample size

D. Both A and B

E. Both A and C

Solution:

Confidence interval for population proportion is written as

Sample proportion ± margin of error

Where sample proportion is the point estimate for the population proportion.

Margin of error = z × √pq/n

The z score for 95% confidence level is 1.96

p = 46/100 = 0.46

q = 1 - p = 1 - 0.46

q = 0.54

n = 500

Margin of error = 1.96√0.46 × 0.54/500 = 0.044

To tighten it's interval, the margin of error needs to be reduced.

If we increase the confidence level, say to 99%, z = 2.58

Then

Margin of error = 2.58√0.46 × 0.54/500 = 0.058

It increased

Also, If we increase the sample size, say to 700, then

Margin of error = 1.96√0.46 × 0.54/700 = 0.037

It has reduced

Therefore, the correct options is

C. increase the sample size

8 0

3 years ago

Ava opened a account first oak with 5000$. Zoe started an account with 4000$ l. No additional deposit or withdrawal from this ac

DerKrebs [107]

Answer:

This isnt much of an answer just something to help-

Try doing A(1 + B)^I

4 0

2 years ago

A gumball machine contains 300 grape flavored balls, 400 cherry flavored balls, and 500 lemon flavored balls. What is the probab

Svet_ta [14]

Answer:

Pr(of getting 1grape ball, 1 cherry ball and 1 lemon ball) =0.20832

Step-by-step explanation:

Let the grape falvored ball be represented by G,

Cherry flavored balls be C

Lemon flavored balls be L

the possible order of picks for getting 1grape ball, 1 cherry ball and 1lemon ball are; GCL or GLC or CGL or CLG or LGC or LCG

Pr(of getting 1grape ball, 1 cherry ball and 1 lemon ball)

= Pr(GCL) or Pr(GLC) or Pr(CGL) or Pr(CLG) or Pr(LGC) or Pr(LCG)

with replacement we have;

Probability = $\frac{number of required outcomes}{number of possible outcomes}$

= $\frac{300}{1200}*\frac{400}{1200}*\frac{500}{1200} +\frac{300}{1200}*\frac{500}{1200}*\frac{400}{1200} +\frac{400}{1200}*\frac{300}{1200}*\frac{500}{1200} \\ \\+\frac{400}{1200}*\frac{500}{1200}*\frac{300}{1200} +\frac{500}{1200}*\frac{300}{1200}*\frac{400}{1200} +\frac{500}{1200}*\frac{400}{1200}*\frac{300}{1200}$

= 0.03472 + 0.03472 +0.03472 + 0.03472 + 0.03472 + 0.03472

=0.20832

3 0

3 years ago

Fifty people were surveyed about their favorite

Dimas [21]

4% of 50 is 2, so that’s your answer

7 0

3 years ago

Read 2 more answers

Find the volume of the sphere

romanna [79]

V = $\frac{4}{3}$ $\pi$ $r^{3}$ is the formula to find the volume of a sphere.

First cube the radius (12)

$12^{3}$ = 1728

Now multiply 1728 by 4/3 by multiplying it by 4, and then dividing the result by 3.

1728 x 4 = 6912

$\frac{6912}{3}$ = 2304

Now, we multiply this number by $\pi$ to get our final answer.
You typically use 3.14 to approximate $\pi$ .

2304 x 3.14 = 7234.56

Therefore, the volume of a sphere with a radius of 12 will be approximately 7234.56

Hope this helps!!
Let me know if there's anything you don't understand and I'll try to explain as best I can.

3 0

4 years ago