Martina chose a random sample of 10 bags of candy from two different brands, a and b. all bags in the sample are the same size. martina counts the number of candy pieces in each bag and plots the results on two dot plots. a dot plot is shown. the title of the plot is brand a. the line is numbered with tick marks at 40, 45, 50, 55, 60, 65, and 70 and is labeled number of candy pieces. there are 2 dots at 52, 1 dot at 53, 2 dots at 55, 1 dot at 56, 2 dots at 57, and 2 dots at 62. a dot plot is shown. the title of the plot is brand b. the line is numbered with tick marks at 40, 45, 50, 55, 60, 65, and 70 and is labeled number of candy pieces. there is 1 dot at 44, 1 dot at 46, 2 dots at 52, 1 dot at 55, 1 dot at 62, 1 dot at 65, 2 dots at 67 and 1 dot at 69 based on the plots, which statement is a valid comparison of the number of candies in the bags of the two brands?

B. The number of candies in the bags from Brand B is greater and less consistent than the number of candies in the bags from Brand A.

(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

b

step-by-step explanation: