The manager of a music store surveyed a random sample of customers who shop in the store about their favorite type of music. The table shows the number of customers who selected
each type of music.
Favorite Type of Music
Rock
Country
Jazz
Classical
Rap
Pop
37
27
5
9
12
35
Based on the information in the table, which Inference about the favorite type of music of all
the customers who shop in the music store appears to be valid?
F They are certain to select rock or pop music.
G They are less likely to select country or rap music than rock music.
H They are more likely to select country music than jazz, classical, or rap music.
3 They are certain to select any type of music other than jazz music.

Step-by-step explanation:

(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