Asupermarket is testing brands of microwave popcorn. for each brand, they recorded the percentage of corn kernels in a package that popped in the recommended cooking time. let a be the data set of percentages listed below. a = {91, 94, 89, 93, 87, 92, 86, 87, 92, 91} the supermarket then realized they missed a brand. when the new brand was cooked, only 74% of its kernels popped. let b be the data set of percentages for all 11 packages, including the package where the least kernels popped. select the statements that are true.

step-by-step explanation:

no of data

divide by no of mode

2/3

step-by-step explanation:

if you was gonna solve for a, a is a   < -12

(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