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docker41 [41]
3 years ago
12

Question part points submissions used find an equation of the plane. the plane that passes through the point (−2, 1, 3) and cont

ains the line of intersection of the planes x + y − z = 4 and 2x − y + 3z = 5

Mathematics
1 answer:
kkurt [141]3 years ago
5 0
Try this solution (based on 3 steps: equation of the line; points in this line; equation of the plane).

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A rectangle has an area of 198 square meters and a width of 9 meters.
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Answer:

The length of the triangle is 22.

Step-by-step explanation:

Area = width*length

length = area/width = 198/9 = 22

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You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proporti
kenny6666 [7]

Answer:

A sample size of 474 is required.

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

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

Based on previous evidence, you believe the population proportion is approximately 73%.

This means that \pi = 0.73

95% confidence level

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

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.04. So

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

0.04 = 1.96\sqrt{\frac{0.73*0.27}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.73*0.27}

\sqrt{n} = \frac{1.96\sqrt{0.73*0.27}}{0.04}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.73*0.27}}{0.04})^2

n = 473.24

Rounding up:

A sample size of 474 is required.

3 0
3 years ago
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