22. Which is the interquartile range for the city that has the
greater variability
in temperature?

40

Step-by-step explanation:

Variability is a measures of the interquartile range of a given set of data. The greater the interquartile range, the more the variability.

The interquartile range (IQR) = Third quartile (Q3) - First Quartile (Q1)

IQR for City A = 70 - 40 = 30

IQR for City B = 80 - 40 = 40.

City B has a greater IQR value, therefore, it has the greater variability in temperature.

The interquartile range for the city with greater variability is 40.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%