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VLD [36.1K]
2 years ago
7

Find the length of the arc (AB) Leave your answer in terms of Pi

Mathematics
1 answer:
butalik [34]2 years ago
4 0
The formula is L = 2 pi r * (angle measure / 360). We have everything we need to solve this, the angle is 90 and the radius is 12: L = 2 pi (12) (90/360). Do the work inside the parenthesis first to get : L = 2 pi (12)(.25). Solving for L: L = 6pi
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A study was done to determine the average number of homes that a homeowner owns in his or her lifetime. For the 50 homeowners su
ipn [44]

Answer:

The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

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

df = 50 - 1 = 49

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0096

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.0096\frac{3.8}{\sqrt{50}} = 1.1

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 5.1 - 1.1 = 4

The upper end of the interval is the sample mean added to M. So it is 5.1 + 1.1 = 6.2.

The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).

7 0
2 years ago
Is the number -14 irrational ?
Alenkinab [10]
I think it is irrational
5 0
3 years ago
Read 2 more answers
A flagpole casts a shadow that is 85 feet long. Paul is 6 feet tall, and while standing next to the flagpole, casts a shadow tha
hammer [34]

Answer:

51m

Step-by-step explanation:

-Paul is 6ft, and has a 10ft shadow. The pole has a 85ft shadow:

-Using ratios:

\frac{Height\ of \ object}{Height\ of \  shadow}

Let h be the height of the flagpole:

=>\frac{6}{10}=\frac{h}{85}\\\\h=\frac{6\times 85}{10}\\\\h=51

Hence, the height of the pole is 51m

6 0
3 years ago
The bones of a mammal were discovered to have 3% as much Carbon-14 as they would have contained when
tankabanditka [31]
I be flexing 3 dollars carbon-144
5 0
3 years ago
Jim drank 2/3 of his water bottle and John drank 3/10 of his water bottle how much water did both the boys drink ?
Likurg_2 [28]

Answer:

29/30

Step-by-step explanation:

first, we must make sure they have the same denominator!

2/3 x 10/10 = 20/30

3/10 x 3/3  = 9/30

20/30 + 9/30 = 29/30

4 0
3 years ago
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