A branch of mathematics called queuing theory gives a formula for the average length of a line given guest arrivals and front desk associate service time. The formula is p2 / (2 x (1 - p)) where p = average guest arrivals per minute / guests served per minute. If the average guest arrivals per minute is 10 and guests served per minute is 11. What is the average line length?

pretty sure 750 each month!

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

y/x of point b= y/x of point a

step-by-step explanation:

(i got the same question, this was the correct answer.)

c

step-by-step explanation: