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3 years ago

Please help!!! Thank you

Mathematics

2 answers:

Tanzania [10]3 years ago

7 0

The answer is C!!!!!!!!!

UNO [17]3 years ago

5 0

Answer:

Step-by-step explanation:

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in a survey of 7000 women 4431 say they change their nail polish once a week.Construct a 95% confidence interval for the populat

andreyandreev [35.5K]

Answer:

The 95% confidence interval would be given (0.622;0.644).

We are confident (95%) that the true proportion of people that said that they change their nail polish once a week is between 0.622 and 0.644

Step-by-step explanation:

Data given and notation

n=7000 represent the random sample taken

X=4431 represent the people that said that they change their nail polish once a week

$\hat p=\frac{4431}{7000}=0.633$ estimated proportion of people that said that they change their nail polish once a week

$\alpha=0.05$ represent the significance level

Confidence =0.95 or 95%

p= population proportion of people that said that they change their nail polish once a week

Solution to the problem

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.633 - 1.96 \sqrt{\frac{0.633(1-0.633)}{7000}}=0.622$

$0.633 + 1.96 \sqrt{\frac{0.633(1-0.633)}{7000}}=0.644$

And the 95% confidence interval would be given (0.622;0.644).

We are confident (95%) that the true proportion of people that said that they change their nail polish once a week is between 0.622 and 0.644

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3 years ago

A property sells for $620,000 two years after it was purchased. If the annual appreciation rate was 4%, how much did the origina

8090 [49]

$25,000 is the answer you would take $620,000 x 0.04 (4%)= 24,800 which rounds to 25,000

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3 years ago

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Is 12.89 irrational

STatiana [176]

No. It's the ratio of 1,289 to 100 .

Also, it can be written as a fraction with whole numbers
on top and bottom, like this: 1289 / 100 .

Also, it can be written down on paper completely, using
digits and a decimal point or fraction bar. (You did that.)

Any one of these three facts makes it a rational number.

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4 years ago

two concentric circular regions have radii of $1$ inch and $10$ inches. what is the area, in square inches, outside the smaller

Llana [10]

The area, in square inches, outside the smaller region, but inside the larger region is 99π

<h3>How to determine the area, in square inches, outside the smaller region, but inside the larger region?</h3>

The given parameters are:

Radius, r1 = 1 inch

Radius, r2 = 10 inches

The area, in square inches, outside the smaller region, but inside the larger region is calculated as

Area = π(R^2 - r^2)

This gives

Area = π(10^2 - 1^2)

Evaluate the difference

Area = 99π

Hence, the area, in square inches, outside the smaller region, but inside the larger region is 99π