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Irina-Kira [14]
3 years ago
10

Someone please help it’s due today in like 30 min I will give brainliest

Mathematics
1 answer:
34kurt3 years ago
5 0

Answer:

First pic X= 13.036

Second pic x= 11.23

Step-by-step explanation:

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Solve and explain pls need it
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Step-by-step explanation:

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3 years ago
A random sample of 400 Michigan State University (MSU) students were surveyed recently to determine an estimate for the proporti
Gre4nikov [31]

Answer:

a. .92

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}.

The margin of error of the interval is:

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

The lower bound is the point estimate \pi subtracted by the margin of error.

The upper bound is the point estimate \pi added to the margin of error.

Point estimate:

The confidence interval is symmetric, so it is the mean between the two bounds.

In this problem:

\pi = \frac{0.372 + 0.458}{2} = 0.415

Sample of 400, which means that n = 400

Margin of error is the estimate subtracted by the lower bound. So M = 0.415 - 0.372 = 0.043

We have to find z.

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

0.043 = z\sqrt{\frac{0.415*0.585}{400}}

z = \frac{0.043\sqrt{400}}{\sqrt{0.415*0.585}}

z = 1.745

z = 1.745 has a pvalue of 0.96.

This means that:

1 - \frac{\alpha}{2} = 0.96

\frac{\alpha}{2} = 1 - 0.96

\frac{\alpha}{2} = 0.04

\alpha = 0.08

Confidence level:

1 - \alpha = 1 - 0.08 = 0.92

So the correct answer is:

a. .92

7 0
3 years ago
Write an equation of the line that passes through the given points.<br> (-2,5) and (1,2)
Anon25 [30]

\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-2)}}}\implies \cfrac{-3}{1+2}\implies \cfrac{-3}{3}\implies -1

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-1}[x-\stackrel{x_1}{(-2)}] \\\\\\ y-5=-(x+2)\implies y-5=-x-2\implies y=-x+3

7 0
3 years ago
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