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3 years ago

I need help...........

Mathematics

1 answer:

harina [27]3 years ago

8 0

Answer:

Step-by-step explanation:

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Please help. I’ll mark you as brainliest if correct!!!

raketka [301]

Answer:

Step-by-step explanation:

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2 years ago

Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not draw

Aleonysh [2.5K]

Answer:

$x=25$

Step-by-step explanation:

we know that

In this problem

The value of x represent the radius of the circle

Applying the Pythagoras theorem in the right triangle of the figure, you can find the radius of the circle O

see the attached figure to better understand the problem

$x^{2} =20^{2}+15^{2}$

$x^{2} =400+225$

$x^{2} =625$

square root both sides

$x=25$

8 0

2 years ago

In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm ha

Afina-wow [57]

Answer:

A sample size of 79 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$\pi = 0.21$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.09 = 1.96\sqrt{\frac{0.21*0.79}{n}}$