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Reika [66]
3 years ago
9

a circle has a radius of 3 feet. what is the circumference of a bigger circle if the scale factor of the smaller to bigger is 4:

7?
Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0
1:4 is you answer. 4-3 is 1 and you do the same to 7
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Compute the standard deviation for the set of data.<br><br> 13.3, 14.3, 15.3, 16.3, 17.3
Gennadij [26K]
<h3>Answer: Choice A)  sqrt(2)</h3>

==========================================

Explanation:

Add up all of the values

13.3+14.3+15.3+16.3+17.3 = 76.5

Then divide by 5 as there are n = 5 values in the set given

76.5/5 = 15.3

The mean of this data set is 15.3

-------------

Subtract the mean from each value to get this list of differences

x1 - mean = 13.3 - 15.3 = -2

x2 - mean = 14.3 - 15.3 = -1

x3 - mean = 15.3 - 15.3 = 0

x4 - mean = 16.3 - 15.3 = 1

x5 - mean = 17.3 - 15.3 = 2

-------------

Square each result from the previous section

(-2)^2 = 4

(-1)^2 = 1

(0)^2 = 0

(1)^2 = 1

(2)^2 = 4

Then add up those results

4+1+0+1+4 = 10

This is the sum of the squared differences.

------------

Divide the sum of the squared differences by n = 5 to get 10/5 = 2

The population variance is 2

The population standard deviation is the square root of this, so we get sqrt(2) as our final answer.

------------

Side note: This data set was fairly small, so computing the standard deviation by hand wasnt too painful. When it comes to larger data sets, it is smarter to use a spreadsheet program to easily calculate the answer. The drawback is that you wont be able to get an exact answer in terms of radicals (then again you could always use a CAS, which stands for "computer algebra system").

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3 years ago
31. A driver
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Answer:

D. of any age

Step-by-step explanation:

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It doesn't matter how old you are because a crime is a crime. If you are younger there will most likely be less of a punishment as adults.

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2 years ago
Which of the following statements about JK and JL is true?
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B. JK is longer than JL

Step-by-step explanation:

JK is 6, JL is 5. Therefore, JK is longer than JL.

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A store sold $115.50 worth of coffee mugs how many mugs did the sell ?
viktelen [127]
Not enough information to actually do the problem, please provide more.
8 0
3 years ago
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Determine the number of centimeters in 2 inches.
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Answer:

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Step-by-step explanation:

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