What is the interquartile range (iqr) of the data set represented by this box
plot?

B

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile.

The upper quartile is the right side value of the box

The lower quartile is the left side value of the box

upper quartile = 61 and lower quartile = 39

IQR = 61 - 39 = 22 → B

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15