ACME manufacturing company has developed a fuel-efficient machine that combines pressure washing with steam cleaning. It is advertised as delivering 5 gallons of cleaner per minute. HOWEVER, a machine delivers an amount at random anywhere between 4.8 and 5.3 gallons per minute.

Assume that Y, the amount of cleaner dispensed per minute, is a uniform random variable with probability density function [p. d.f.], f(y), given below.

f(y) = 5 for 4.95 < y < 5.15f(y) = 0 otherwiseFind the probability that Y, the amount of cleaner dispensed per minute, is greater than 5 gallons per minute.

Simplify 4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2 . (1 point) 2 square root of 8 8 square root of 2 8 square root of 6 6 square root of 8

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?