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notka56 [123]
3 years ago
7

Find the shaded angle

Mathematics
1 answer:
IceJOKER [234]3 years ago
4 0

Answer:

61.5°

Step-by-step explanation:

The triangle is isosceles , the radii are congruent , then the 2 base angles are congruent.

The vertex = 360° - 303° = 57

shaded angle = \frac{180-57}{2} = \frac{123}{2} = 61.5°

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The 90% confidence interval for the percentage of people the company contacts who may buy something is between 10.82% and 14%

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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n = 1160, \pi = \frac{144}{1160} = 0.1241

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So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

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The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1241 + 1.645\sqrt{\frac{0.1241*0.8759}{1160}} = 0.14

The 90% confidence interval for the percentage of people the company contacts who may buy something is between 10.82% and 14%

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