a juice company has found that the marginal cost of producing x pints of fresh-squeezed orange juice is given by the function below, where c'(x) is in dollars.
approximate the total cost of producing 255 pt of juice, using 3 subintervals over [0,255) and the left endpoint of each subinterval.
c'(x) = 0.4x? -0.002x + 2, for x 5 350

The depth of a lake at a certain point, wich is a function of the distance of that point from shore, is 30 feet.

You were told that the amount of time lapsed between consecutive trades on the new york stock exchange followed a normal distribution with a mean of 15 seconds. you were also told that the probability that the time lapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. the probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. what is the probability that the time lapsed between two consecutive trades will be between 14 and 15 seconds?

Isuck at math ; ^; m a student solved this problem and said the answer is 3 feet. chase had a roll of ribbon that contained 7 7/8  feet of ribbon. he cut off one piece that was 3 5/8  feet long and another piece that was 1 1/4  feet from the roll. how much ribbon was left on the roll? is the student's answer reasonable? yes, the answer is reasonable. no, the answer is not reasonable. it should be about 2 feet. no, the answer is not reasonable. it should be about 13 feet. no, the answer is not reasonable. it should be about 4 feet.