Jason polled a large sample of individuals to find the entrance exam scores from 0 to 100 of out-of-state students. Which of the following would be an appropriate choice to display the results? a. pie chart.
b. bar graph.
c. histogram.
d. dot plot.

c. histogram.

Step-by-step explanation:

In this case, the most appropiate way to show the results is to group the results in classes (for example from score 0 to 20, 21 to 40, 41 to 60, until 100) and show the relative frequency for each of the classes.

An histogram allows us to present this information graphically in the ways described before.

A pie chart is appropiate to show proportions.

A bar graph is similar but for discrete or non-numerical categories.

A dot plot is adequate por discrete classes and small samples.

(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

5/20 so 25%

step-by-step explanation: