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baherus [9]
1 year ago
14

Question 4 (Essay Worth 10 points) (06.04 HC) 0 A figure is located at (2, 0), (2, -2), (6, -2), and (6, 0) on a coordinate plan

e. What kind of 3-D shape would be created if the figure was rotated around the x-axis? Provide an explanation and proof of your answer to receive full credit. Include the dimensions of the 3-D shape in your explanation.​
Mathematics
1 answer:
Vika [28.1K]1 year ago
7 0

The 3-D shape that would be formed is a cylinder

<h3>What kind of 3-D shape would be created if the figure was rotated around the x-axis?</h3>

The coordinates are given as:

(2, 0), (2, -2), (6, -2), and (6, 0)

From the above coordinates, we can see that the shape has horizontal and vertical lines.

This is so because the x or y axes of adjacent points are the same

So, the shape is a rectangle or a square

When a rectangle or a square is rotated around the x-axis, the 3-D shape that would be formed is a cylinder

Hence, the 3-D shape that would be formed is a cylinder

Read more about 3-D shapes at:

brainly.com/question/24383853

#SPJ1

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59? Is it H = 59?

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a. 0.647 and 0.753

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

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Solution to the problem

The estimated population proportion for this case is:

\hat p = \frac{350}{500}=0.7

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

7 0
3 years ago
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