41% Question 6 Multiple Choice Worth 1 points)
(05.05 MC)
Males and females (ages 13-18) were surveyed to choose a favorite free-time activity: playing computer games, listening to music, or watching movies/TV.
The survey showed the following frequencies:
Females--playing computer games: 4; music: 20; watching movies/TV: 16
Males-playing computer games: 15; music: 12; watching movies/TV: 13
Which of the following is a correct two-way frequency table for the data?
Male and Female Leisure Time Activity Preferences
Computer Games Music Watching movies/TV Row totals
Female
20 16
40
4
Male
15
12
13
40
Column totals 19
32
29
80
Male and Female Leisure Time Activity Preferences
Computer Games Music Watching

(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

-4, -2, 1, 4

step-by-step explanation:

domain = x values

range = y values