For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars
The formula for the variance is,
where,
= sample variance
= the value of the one observation
= 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, 
Using the formula for variance ,
Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars
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Answer:
x=9
Step-by-step explanation:
√117²=x²+6²
117=x²+36
x²=117-36
x²=81
x=9
BA and BD are radii of the circle, so triangle ABD is isosceles. Then angles BDA and BAD are congruent, and the remaining (central) angle ABD has measure
Angles ABD and CBD are supplementary, so
and the answer is E.
Ugh, more algebra pretending to be geometry. Why?
This is a pretty awful instance of the genre, with no units on the constant 16, assumed to be degrees.
The total arc measure in a circle is 360 degrees. Geometry part over.
3m + 16 + 2m + 3m = 360
8m = 344
m = 344/8 = 43
Arc measures:
Arc 3m+16 = 3(43)+16 = 145°. The angle subtended by that arc is half that, 145/2=72.5°
Arc 2m=2(43)=86°. The angle subtended is half that, 43°
Arc 3m=3(43)=129°. The angle subtended is half that, 64.5°
Cut a line between the triangle and rectangle
area of rectangle is length x width
8x5=40
area of triangle is base x height divide by 2
5x5=25
25 divide by 2 is 12.5
add them together
40+12.4 = 52.4
