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2 years ago

Solve for x. Round to the nearest tenth of a degree, if necessary PLEASE HELP I HAVE 10 MINS TILL ITS DUE

Mathematics

2 answers:

grigory [225]2 years ago

4 0

Answer:

x = 47.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos x = 8.8 / 13

Take the inverse cos of each side

cos ^-1 ( cos x) = cos ^-1( 8.8 /13)

x = cos ^-1( 8.8 /13)

x =47.39633319

Rounding to the nearest tenth

x =47.4

exis [7]2 years ago

3 0

Answer:

36.9 degrees

Step-by-step explanation:

using SOHCAHTOA we can see that we need to use cos because the sides that are given are the adjacent side and the hypotenuse so u have to divide the adjacent by the hypotenuse which is 8.8/13 and you should get 0.8 after you round to the nearest tenth and then you use your calculator to do cos^-1 (0.8) and you get 36.9 after you round to the nearest tenth of a degree

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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

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

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