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tatyana61 [14]
3 years ago
9

Need to find x then all the degrees in each in angle.

Mathematics
1 answer:
LuckyWell [14K]3 years ago
8 0
Both of these angles are vertical meaning that they are congruent so you have to set them equal
6x=4x + 16
Then subtract 4x from both sides to get:
2x=16
Then divide by two on each side to get
X= 8
To find the measure of the angles multiply the value of x which is 8 with 6 (8x6) to get 48 for both angles!
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75

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A goat is grazing outside of a rectangular barn that has dimensions 20 ft by 30 ft.
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Answer:

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Step-by-step explanation:

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3 years ago
Jacob knows that the adult population gets, on average, eight hours of sleep each night. A hypothesis test can help him see if c
Vlad [161]

Answer:

The t-statistic that Jacob calculates is t = -2.71

Step-by-step explanation:

Jacob knows that the adult population gets, on average, eight hours of sleep each night. A hypothesis test can help him see if college students are different from the adult population.

At the null hypothesis, we test if the mean is of 8 hours, that is:

H_0: \mu = 8

At the alternative hypothesis, we test if the mean is different of 8 hours, that is:

H_1: \mu \neq 8

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 and n is the size of the sample.

8 is tested at the null hypothesis:

This means that \mu = 8

From a sample of 101 students, Jacob tabulated that his sample of students got an average of 7.3 hours of sleep each night, with a standard deviation of 2.6.

This means that n = 101, X = 7.3, s = 2.6

What is the t-statistic that Jacob calculates?

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

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t = -2.71

The t-statistic that Jacob calculates is t = -2.71

6 0
3 years ago
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