The amounts of a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.2 fluid ounces and a standard deviation of 0.2 fluid ounce. a drink is randomly selected. a) find the probability that the drink is less that 12.1 fluid ounces. b) find the probability that the drink is between 11.9 and 12.1 ounces. c) find the probability that the drink is more than 12.5 ounces. can this be considered an unusual event? explain your reasoning.

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high? (hint: the formula for the volume of a cone is v = 1 3 πr2h.)

With number 11 ( show how you got the answer)

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