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3 years ago

PLEASE HELP ASAP, ITS DUE TONIGHT

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

8 0

Answer:

Zack = x

Tony = x + 6

x + x + 6 = 42

2x + 6 = 42

2x = 36

x = 18

So,

Zack = x = 18

Tony = x + 6 = 18 + 6 = 24

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Answer:

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Step-by-step explanation:

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

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

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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:

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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:

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

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

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