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hjlf
3 years ago
13

Please solve correctly I will mark brainliest

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0

Angles DUT and VUD sum to VUT. We can create an equation to model this.

DUT + VUD = VUT

Now, let's plug our values into the equation.

24x + 5 + 46 = 35x - 4

Simplify the left side.

24x + 51 = 35x - 4

Subtract 24x from both sides and add 4 to both sides.

55 = 11x

Divide both sides by 11.

5 = x

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Using the t-distribution, as we have the standard deviation for the sample, we have that the test statistic is given by:

t = \frac{-20 - 0}{\sqrt{\frac{32.66}{7}}}

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is no difference, that is:

H_0: \mu = 0

At the alternative hypothesis, it is tested if there is a difference, that is:

H_1: \mu \neq 0

<h3>What is the test statistic?</h3>

The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
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  • s is the standard deviation of the sample.
  • n is the sample size.

In this problem, \mu = 0 is tested at the null hypothesis, and the sample is: 20, -40, -40, 0, 20, - 60, -40, hence:

\overline{x} = -20, s = \sqrt{32.66}, n = 7.

Hence, the test statistic is:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{-20 - 0}{\frac{\sqrt{32.66}}{\sqrt{7}}}

t = \frac{-20 - 0}{\sqrt{\frac{32.66}{7}}}

More can be learned about the t-distribution at brainly.com/question/16313918

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