what if 5 more students respond that they get to school by biking? would more students walk or ride to school explain

According to the U.S. Bureau of Labor Statistics, 20% of all people 16 years of age or older do volunteer work. In this age grou

Murljashka [212]

Answer:

1. P(X≥35) = 0.0183

2. P(X≤21) = 0.0183

3. P(0.18<p<0.25) = 0.7915

Step-by-step explanation:

We have the proportion for women: pw=0.22, and the proportion for men: pm=0.19.

1. We have a sample of 140 woman and we have to calculate the probability of getting 35 or more who do volunteer work.

This is equivalent to a proportion of

$p=X/n=35/140=0.25$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.22*0.78}{300}}\\\\\\ \sigma_p=\sqrt{0.0006}=0.0239$

We calculate the z-score as:

$z=\dfrac{p-p_w}{\sigma_p}=\dfrac{0.25-0.22}{0.0239}=\dfrac{0.03}{0.0239}=0.8198$

Then, the probability of having 35 women or more who do volunteer work in this sample of 140 women is:

$P(X>35)=P(p>0.25)=P(z>2.0906)=0.0183$

2. We have to calculate the probability of having 21 or fewer women in the group who do volunteer work.

The proportion is now:

$p=X/n=21/140=0.15$

We can calculate then the z-score as:

$z=\dfrac{p-p_w}{\sigma_p}=\dfrac{0.15-0.2}{0.0239}=\dfrac{-0.05}{0.0239}=-2.0906$

Then, the probability of having 21 women or less who do volunteer work in this sample of 140 women is:

$P(X$

3. For the sample with men and women, we use the proportion for both, which is π=0.2.

The sample size is n=300.

Then, the standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.2*0.8}{300}}\\\\\\ \sigma_p=\sqrt{0.0005}=0.0231$

We can calculate the z-scores for p1=0.18 and p2=0.25:

$z_1=\dfrac{p_1-\pi}{\sigma_p}=\dfrac{0.18-0.2}{0.0231}=\dfrac{-0.02}{0.0231}=-0.8660\\\\\\z_2=\dfrac{p_2-\pi}{\sigma_p}=\dfrac{0.25-0.2}{0.0231}=\dfrac{0.05}{0.0231}=2.1651$

We can now calculate the probabilty of having a proportion within 0.18 and 0.25 as:

$P=P(0.18$

5 0

3 years ago

Please help due in 5 minutes

alukav5142 [94]

Add y subtract 6. Ur left with y=x-6
Add the equations and ur left with 2x-10

3 0

2 years ago

What type of angles are m∠5 and m∠6?

nadezda [96]

Is there a picture where are the angles?

8 0

3 years ago

Pizza with a diameter of 12 inches is cut into 8 equal slices to the nearest square inch what is the area of each slice of the p

jolli1 [7]

Answer:

14.14 $in^2$

Step-by-step explanation:

First, find the area of the whole pizza, knowing that its diameter is 12 inches, and therefore its "radius" (R) is 6 inches.

We apply the formula for the area of a circle:

$Area= \pi R^2=\pi (6)^2=113.09 in^{2}$

Now, since it is divided into 8 exactly equal slices, in order to find the are of each slice, we divide the total area by 8:

$\frac{113.1}{8} in^{2} =14.14 in^2$

5 0

3 years ago

Read 2 more answers

A rectangle has a length that is 3 more than twice its width. If its area is 152ft^2, what is its perimeter

liberstina [14]

Answer:

$Perimeter=54ft^2$

Step-by-step explanation:

Let's start by writing what we know in mathematical terms.

A rectangle has a length that is 3 more than twice its width, means:

$L-3 = 2W\\L*W = 152$

Now all we have to do is solve for one of these values. I'll choose W.

Rewrite the equation:

$L = 2W + 3$

Input that information into our second equation and solve:

$W*(2W + 3) = 152\\2W^2+3W=152\\2W^2+3W-152=0$

Find the two W values by factoring the equation (note that the Width can't be negative because you can't have a negative rectangle):

$2W^2+3W-152=0\\(2W+19)(W-8)=0\\\\W=-\frac{19}{2}\\W=8$

We pick the positive value 8 and plug it into our original equation to find Length:

$L = 2W + 3\\L=2(8)+3\\L=19$

Finally, after all that, we can use the formula of a perimeter using our newly found Length and Width values (remember not to forget "ft^2" when we get our answer):

$2L+2W\\2(19)+2(8)\\Perimeter=54ft^2$

4 0

2 years ago