The following are 10 employee salaries from a company of 500 employees. Calculate the variance of the salaries. $40,000

$60,000

$70,000

$50,000

$75,000

$100,000

$28,000

$65,000

$85,000

$64,500

(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

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two

this would be 35. 35 + 5 = 40. you take the known constant and subtract by the answer of the equation and you get y.