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Brilliant_brown [7]
3 years ago
7

Safari 11:02 AM Fri Apr 17

Mathematics
1 answer:
mestny [16]3 years ago
6 0

Answer:

Step-by-step explanation:

Two Angles are Supplementary when they add up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees. Examples: • 60° and 120° are supplementary angles.

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The average (arithmetic mean) of the 43 numbers in list L is a positive number. The average of all 48 numbers in both lists L an
skelet666 [1.2K]

Answer:

33\frac{1}{3} \%

Step-by-step explanation:

Given:

The average (arithmetic mean) of the 43 numbers in list L is a positive number.

The average of all 48 numbers in both lists L and M is 50 percent greater than the average of the 43 numbers in list L.

Question asked:

What percent greater than the average of the numbers in list L is the average of the numbers in list M?

Solution:

As the total number of observation in both list = 48

And the number of observation in list L = 43

Then, the number of observation in list M = 48 - 43 = 5

Let the average of the 43 numbers in list L = 100

Then the average of all 48 numbers in both lists L and M = 100+ 100\times50\%

                                                                                                =100+100\times\frac{50}{100} \\= 100+\frac{5000}{100} \\= 100+50 = 150

The average of the numbers in list M = 150 - 100 = 50

To find percent greater than the average of the numbers in list L in compare to average of the numbers in list M,

Average of the numbers in list L - average of the numbers in list M divided by the average of all 48 numbers in both lists L and M multiplied by 100

=\frac{100-50}{150} \times100\\\ =\frac{50}{150} \times100\\=\frac{5000}{150} = 33\frac{1}{3} \%

Thus, 33\frac{1}{3} \% greater than the average of the numbers in list L is the average of the numbers in list M.

6 0
3 years ago
Which is the closest to the circumference of a circle with a diameter of 17 inches?
irina1246 [14]
Circumference = 2 \pi r
diameter = 2 r

17 = 2r →  8.5 = r

C = 2 \pi (8.5)
C = 17 \pi
C ≈ 53.4
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Answer:

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Step-by-step explanation:

5²+2²=c²

25+4=c²

29=c²

c=√29

c=5.385

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