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nasty-shy [4]
3 years ago
9

HELP ASAP!! Can you explain how to decompose a rectangle into congruent triangles? How does the area of the decomposed pieces re

late to the area of the rectangle
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
7 0

Answer: You would divide the rectangle into half, to form two congruent triangles. When you multiply the area of 1 of the triangles, it gives you the area of both triangles, and so the area of the triangle as a whole

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The answer is 24 as it's the smallest number given that is divisible by both 6 and 8.
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A pote that is 3.5 m tall casts a shadow that is 1.08 m long same time, a nearby building casts a shadow that is 35.5 m long How
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Step-by-step explanation:

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What percentage of one hour is fifteen minutes?
Scilla [17]

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3 years ago
A survey of 35 people was conducted to compare their self-reported height to their actual height. The difference between reporte
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Answer:

The test statistic is t = 3.36.

Step-by-step explanation:

You're testing the claim that the mean difference is greater than 0.7.

At the null hypothesis, we test if the mean difference is of 0.7 or less, that is:

H_0: \mu \leq 0.7

At the alternate hypothesis, we test if the mean difference is greater than 0.7, that is:

H_1: \mu > 0.7

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that \mu = 0.7

A survey of 35 people was conducted to compare their self-reported height to their actual height.

This means that n = 35

From the sample, the mean difference was 0.95, with a standard deviation of 0.44.

This means that X = 0.95, s = 0.44

Calculate the test statistic

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}

t = 3.36

The test statistic is t = 3.36.

3 0
3 years ago
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