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3 years ago

8

6 Answer the following questions about this figure. If mZ1= 53°, what is mZ3?

1 answer:

Scrat [10]3 years ago

5 0

Answer:

143 degrees

Step-by-step explanation:

Triangle EDF is a right triangle and we know that angle 1 is equal to 53 degrees. So, angle 2 is equal to 180-90-53 = 37 degrees. Now that we want to find angle 3, we subtract the measure of angle 2 (which is 37) from 180. That gives us 143 degrees.

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3 years ago

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3 years ago

In a restaurant, the proportion of people who order coffee with their dinner is p. A simple random sample of 144 patrons of the

mote1985 [20]

<h2>Answer with explanation:</h2>

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x= 120

$\hat{p}=\dfrac{x}{n}=\dfrac{120}{144}=0.83333333\approx0.8333$

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Null hypothesis : $H_0: p\geq0.85$ [ it takes equality (=, ≤, ≥) ]

Alternative hypothesis : $H_1: p$ [its exactly opposite of null hypothesis]

∵Alternative hypothesis is left tailed, so the test is a left tailed test.

Test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

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Using z-vale table ,

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Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.

Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.

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3 years ago