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kotykmax [81]
2 years ago
6

Five points are plotted on a cm grid.The 5 points are 5 vertices of a hexagon. Each side of the hexagon has the same length.Work

out one possible pair of coordinates of the other vertex

Mathematics
1 answer:
Eddi Din [679]2 years ago
6 0

Answer:

(13, 5)

Step-by-step explanation:

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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

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3 years ago
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Scrat [10]

Answer:

A

Step-by-step explanation:

Tiffany should have multiplied by 0.5 in step 1, not divided.

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2 years ago
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