The liquid chlorine added to swimming pools to combat algae has a relatively short shelf life before it loses its effectiveness. records indicate that the mean shelf life of a 5-gallon jug of chlorine is 2,160 hours (90 days). as an experiment, holdlonger was added to the chlorine to find whetehr it would increase the shelf life. a sample of nine jugs of chlorine had hese shelf lives (in hours):

2159, 2170, 2180, 2179, 2160, 2167, 2171, 2181, 2185

at the .025 level, has holdlonger increased the shelf life of the chlorine? (estimate the p-value). show your detailed work.

(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

where is abdul's work? don't see that anywhere posted : /

step-by-step explanation: