Geometry Math

Mathematics

1 answer:

Lostsunrise [7]2 years ago

6 0

Answer:

Step 3: The measure of angle DAB is 60°. Reason: Since DAE is a right angle, and EAB is 30 degrees, 90 - 30 is 60. (Just find the reason that is related to this statement).

Step 4: The measure of angle ABC is 130°. Reason: Same-side Interior Angles Theorem

Step-by-step explanation:

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Answer:

a. 37

Step-by-step explanation:

Do 150 divided by 4 so you know how many tables there can be.

150/4

37.5 You can only have 37.5 tables so the awnser is A.37

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Step-by-step explanation:

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A research engineer for a tire manufacturer is investigating tire life for a new rubber compound and has built 16 tires and test

frutty [35]

Answer:

The 95% confidence interval for mean tire life is between 52,368.4 kilometers and 67,911 kilometers.

Step-by-step explanation:

We are in posession of the sample's standard deviation, so we use the students t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.68

The margin of error is:

M = T*s = 2.1315*3645.94 = 7771.3

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 60139.7 - 7771.3 = 52,368.4.

The upper end of the interval is the sample mean added to M. So it is 60139.7 + 7771.3 = 67,911.

The 95% confidence interval for mean tire life is between 52,368.4 kilometers and 67,911 kilometers.

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Answer: