Which data set is represented by the modified box plot? box and whisker plot on a number line from 45 to 115 in increments of 5. the whisker ranges from 76 to 110. the box ranges from 77 to 93 with the vertical bar inside the box at 85. one dot mark above fifty. 78, 50, 76, 110, 93, 95, 77, 82, 88, 90 78, 62, 76, 110, 93, 95, 77, 82, 88, 90 78, 70, 76, 110, 93, 95, 77, 82, 88, 90 76, 62, 76, 110, 93, 95, 77, 76, 76, 90 (will give brainliest to correct answer)

The data set which is represented by the modified box plot is:

        78, 50, 76, 110, 93, 95, 77, 82, 88, 90

b)

78, 62, 76, 110, 93, 95, 77, 82, 88, 90

The data point 50 does not come in the given set.

Hence, this set will not represent a modified box plot.

c)

78, 70, 76, 110, 93, 95, 77, 82, 88, 90  

Again this data set does not contain data point " 50 "

Hence, this set will not represent a modified box plot.

d)

76, 62, 76, 110, 93, 95, 77, 76, 76, 90

Like above two parts.

It does not contain a data point 50.

hence, this option is incorrect.

Hence, the most appropriate option is: Option: a

      78, 50, 76, 110, 93, 95, 77, 82, 88, 90

As this data set best represents the box plot and also contain all the data points.

(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