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igomit [66]
3 years ago
11

7. What is the m&CAB? 8. What is the m4YZW ? 880 2009 600

Mathematics
1 answer:
malfutka [58]3 years ago
3 0

Answer:

CAB = 70°

YZW = 120°

Step-by-step explanation:

CBA = 90° (right angle in a semicircle)

CAB = 180° - CBA - ACB ( angle in a triangle is 180°)

CAB = 180° - 90° - 20°

= 70°

YZW + YXW = 180° (opposite angle are supplementary in a cyclic quadrilateral)

YZW = 180° - YXW

= 180° - 60°

= 120°

(Correct me if i am wrong)

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Questions 4 and 5 refer to the following:
Damm [24]

Answer:

Step-by-step explanation:

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4. Question four is then lines b and a which is option B

Perpendicular lines are lines in which the angle between them is right angle (90 degrees). Which are 'a' and 'c', 'a' and 'd', 'b' and 'c', 'b' and 'd'

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3 years ago
10. In a survey of 212 people at the local track and field championship, 72% favored the home team
igomit [66]

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

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.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error of the survey is:

M = \sqrt{\frac{\pi(1-\pi)}{n}}

The confidence interval can be written as:

\pi \pm zM

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that n = 212, \pi = 0.72

a. Find the margin of error for the survey.

M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Lower bound:

\pi - zM = 0.72 - 1.96*0.0308 = 0.6596

Upper bound:

\pi + zM = 0.72 + 1.96*0.0308 = 0.7804

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

7 0
3 years ago
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