QUESTION 3 of 10: Stock returns vary from year to year. The more variance a stock displays the greater the potential risk. These
are the rates of return for a stock over the last five years. Calculate the variance of these investment returns: 10, 30, 15, 5, 20.
Hint: The variance of a series of numbers is the sum of the squares of their differences from the mean (average) of the numbers
divided by the number of items in the series.
a) 21
b) 53
c) 74
d) 95

The variance of these investment returns is 74

Step-by-step explanation:

Given:

Series =  10, 30, 15, 5, 20

To Find:

variance of a series = ?

Solution:

The variance of the series =

Now

=

= 36  + 196 +121 +  1+ 16

=  370

Now

=  74

4 adults and 12 babies

step-by-step explanation:

4 x 7 = 28

12 x 15 = 180

180 + 28 =208

4 x 3 = 12

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq