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valentinak56 [21]
2 years ago
12

Question #7

Mathematics
1 answer:
Sever21 [200]2 years ago
7 0

Answer:

The area is 56.7 square inches

Step-by-step explanation:

Given

See attachment for corner shelf

Required

The area

The corner shelf is a quadrant with radius;

r = 8.5in

The area of a quadrant is:

Area = \frac{\pi r^2}{4}

So, the area of the corner shelf is:

Area = \frac{\pi * 8.5^2}{4}

Area = \frac{\pi * 72.25}{4}

Area = \pi * 18.0625

Take \pi as 3.14

Area = 3.14 * 18.0625

Area = 56.7 -- approximated

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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.

3 0
2 years ago
Read 2 more answers
Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A? Enter your answer in the box.
SashulF [63]

Answer:

135°

Step-by-step Explanation:

==>Given:

An inscribed quadrilateral ABCD with,

m<A = (3x +6)°

m<C = (x + 2)°

==>Required:

measure of angle A

==>Solution:

First, let's find the value of x.

Recall that the opposite angles in any inscribed quadrilateral in a circle are supplementary.

Therefore, this means m<A + m<C = 180°

Thus, (3x+6) + (x+2} = 180

3x + 6 + x + 2 = 180

Collect like terms:

3x + x + 6 + 2 = 180

4x + 8 = 180

Subtract 8 from both sides:

4x + 8 - 8 = 180 - 8

4x = 172

Divide both sides by 4:

4x/4 = 172/4

x = 43

We can now find m<A = (3x + 6)°

m<A = 3(43) + 6

= 129 + 6

measure of angle A = 135°

6 0
3 years ago
I WILL MARK BRAINLIEST!!!! An underground mine elevator descends 12% of the total depth every minute. The total depth of the ele
Dahasolnce [82]

Answer:

after 1 Min it's -9

after 2 mins it's -1.08

Step-by-step explanation:

12% X 75 = 9

12% X 9 = 1.08

3 0
3 years ago
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John earns $25 per hour as a part-time firefighter. If John works 30 hours per week, how much does he earn that week?
Tanzania [10]

Answer: $750

Step-by-step explanation:

So we know that he earns $25 per hour, and we want to know how much he earns if he worked for 30 hours which is a week.

25=1

?=30

then we can cross multiply which is

\frac{25(30)}{1}=750

so the answer is John earns $750 a week.

8 0
2 years ago
What is the slope of the line that contains the points (-2, 7) and (2,3)
iVinArrow [24]

Answer:

C

Step-by-step explanation:

The correct answer is C, -1. This is because slope formula is y2-y1/x2-x1. When you put that in you get 3-7/2-(-2) which equals -4/4, or -1.

6 0
3 years ago
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