Rosa collects data on what students at her school like to eat at the movie theater. She asks a random sample of 120 students two questions: • Do you like to eat popcorn at the movie theater?
• Do you like to eat candy at the movie theater?
Her data are partially shown in the table. Of the students she asks, 60% of those who like to eat popcorn also like to eat candy.
Complete the table to show the number of students in each category
Like Popcorn
Don't Like Total
Popcorn
Like Candy
Don't Like Candy
62
Total
70
120
3.
How many students like candy and like popcorn
16
42
28
50

42

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

all you have to do is multiply them both to see how many out comes you can put:

3 x 2 = 6

you can make 6 diferent combinations of crusts and toppings.

~batmans wife dun dun