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user100 [1]
3 years ago
9

HELP ME WITH THESE THANKS :)!

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

Answer:

50; 72; 8; 57.9

Step-by-step explanation:

1. sqrt((30/2)^2 + (20)^2) = sqrt(15^2 + 20^2) = sqrt(225 + 400) = sqrt(625) = 25 (radius) * 2 = 50 (diameter)

2. 360 (degrees in a circle)/5 (sides in a pentagon) = 72 degrees

3. 360 (degrees in a circle)/x (sides) = 45 --> 360/45 = x --> 8 sides = x

4. sqrt(7^2 + (12/2)^2) = radius --> sqrt(49 + 36) --> sqrt85 * 2pi = circumference --> 57.9281062 = circumference --> 57.9

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Answer:

Option B.

Step-by-step explanation:

The given data set is

34, 35, 41, 28, 26, 29, 32, 36, 38, 40

We need to find the mean deviation of the given data.

Number of observations, n = 10

Mean of the data is

Mean=\dfrac{\sum x}{n}

Mean=\dfrac{34+35+41+28+26+29+32+36+38+40}{10}

Mean=\dfrac{339}{10}

Mean=33.9

Formula for mean deviation is

\text{Mean deviation}=\dfrac{\sum |x-mean|}{n}

\sum |x-mean|=|34-33.9|+|35-33.9|+|41-33.9|+|28-33.9|+|26-33.9|+|29-33.9|+ |32-33.9|+|36-33.9|+|38-33.9|+|40-33.9|=41.2

\text{Mean deviation}=\dfrac{41.2}{10}

\text{Mean deviation}=4.12

The mean deviation of the ratings is 4.12.

Therefore, the correct option is B.

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