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nydimaria [60]
2 years ago
9

Show Work Please Thank You

Mathematics
1 answer:
Damm [24]2 years ago
3 0

The angles in degrees to radian is as follows:

-54 degrees = -3π / 10 radian

<h3>How to convert from degree to radian?</h3>

The measurement is in degrees. Let's convert it to radian with respect to π.

Therefore,

180 degrees = π radian

-54 degrees = ?

cross multiply

Hence,

angle in radian = -54 × π / 180

angle in radian = - 54π / 180

angle in radian = - 6π / 20

angle in radian = -3π / 10 radian

learn more on radian here: brainly.com/question/22212006

#SPJ1

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Line DCE is parallel to line AB
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Answer:

Angle DCA = Angle CAB. (Alternate Interior Angle)

Angle DCA = 68°

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Explanation:

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3 years ago
What is the interquartile range of the following data set? 3,8, 14, 19, 22, 29, 33, 37, 43, 49. A. 26 B. 23 C. 19 D. 18
Fynjy0 [20]

Answer:

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8 0
3 years ago
A sample was taken of the salaries of four employees from a large company. the following are their salaries, in thousands of dol
Free_Kalibri [48]

For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

The formula for the variance is,

S^2=\frac{\sum (x_i - \bar{x})^2}{n-1}

where,

S^2 = sample variance

x_i = the value of the one observation

\bar{x} = the mean value of all observations

n = the number of observations

For given question,

n = 4

First we find the mean of their salaries.

(33 + 31 + 24 + 36 ) / 4 = 31

So, \bar{x}=31

Using the formula for variance ,

S^2=\frac{(33-31)^2}{4-1}+\frac{(31-31)^2}{4-1}+\frac{(24-31)^2}{4-1}+\frac{(36-31)^2}{4-1}\\\\ S^2=\frac{4}{3}  + \frac{0}{3} + \frac{49}{3} + \frac{25}{3} \\\\S^2= \frac{4+49+25}{3}\\\\S^2=\frac{78}{3}  \\\\S^2=26

Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

Learn more about the variance here:

brainly.com/question/13673183

#SPJ4

7 0
2 years ago
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