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mamaluj [8]
3 years ago
11

Find the value of x if DE is the midsegment of triangle ABC and

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0

Answer

Find out the value of x.

To prove

Definition of mid- segment

It is a segment connecting the midpoints of two sides of a triangle.

It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

As shown in the triangle given below.

As given

DE = 5x and BC = 11x – 15

Thus

DE = \frac{BC}{2}

5x = \frac{11x-15}{2}

5x\times 2 = 11x-15

10x = 11x-15

15 = 11x - 10x

15 = x

Therefore the value of x is 15 .

                   

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Step-by-step explanation:

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Answer:

a)

The null hypothesis is H_0: \mu \leq 10

The alternative hypothesis is H_1: \mu > 10

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Step-by-step explanation:

Question a:

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At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

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At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

H_1: \mu > 10

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The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

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 and n is the size of the sample.

10 is tested at the null hypothesis:

This means that \mu = 10

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Answer:

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Step-by-step explanation:

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