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A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep at the deep end. Water is being pumped into the pool at 1/4 cubic meter per minute, and there is 1 meter of water at the deep end.
(a) what percent of the pool is filled?
(b) At what rate is the water level rising?
During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering machines, and 13 people. Use this information to determine the empirical probability that the next call will be answered in person.
Find the exact length of the curve defined by y=2[(sqrt(x))^(3)]-1=2x^(3/2)-1 from x=0 to x=2. Set up the integral, use the substitution method( reverse chain rule),
On a recent English test, students were given the names of four authors and four novels (one author one title), and asked to match each novel, with the correct author. If a student just guesses randomly, what is the probability of getting zero, on..
Half angle formula to find the exact value.
What are the cylindrical coordinates of the point whose rectangular coordinates are x = - 4 , y= 2, and z = 4?
Drawing at least one black card when you draw a card from a standard deck 6 times, replacing the card each time you draw so that there are always 52 cards in the deck.
Setup a network Flow for this Problem using nodes and links but do not solve for optimal solution, A manufacturer must produce a certain product in sufficient quantity to meet contracted sales in the next four months
In a marketing survey, consumers are asked to give their first three choices, of 9 different drinks. In how many different ways can they indicate their choices? Probability Statistics Combination Application Word Problem
Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
R is bounded below by the x-axis and above by the curve y=2cosx, 0
A telephone pole 35ft. tall has a guy wire attached to it 5 ft. from the top and tied to a ring on the ground 15 feet from the base of the pole.
Find the probability of the indicated results Less than 259 heads
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