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A trough is to be made with an end of the dimensions shown. The length of the trough is to be 21ft long. Only the angle theta can be varied. What value of theta will maximize the trough's volume?
Convex Sets and Linear Transformations, Prove that the following sets are convex, where E stands for the sum symbol:
What is the rate of change of the radius of the lower ball at moment when the radius of the middle ball is 12in?
A population of protozoa develops with a constant relative growth rate of 0.8329 per member per day. On day zero the population consists of six members. Find the population size after eight days. (Round your answer to the nearest whole number.)
The form of augmented matrices.
a television network has eight 60-minute time slots for dramas and has 15 shows to choose from for the fall lineup. How many different lineups are possible?
Draw a tree diagram that illustrates the following. Four-fifths of kindergarten children are bussed to school, while one-fifth of the first to fifth graders are bussed.
A card is selected from a standard deck of 52 playing cards. Find the probability of selecting an eight given the card is a not a face card. (An ace is not a face card.)
Interpreting a normal quantile plot
the measurement of a side of a square is found to be 12 inches, whith a possible error of 1/64 inch. Use differentials to approximate the possible error in computing the area of the square.
A statistic professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50 and 52 minutes. Find the probability that a given class period runs less than 50.75 minutes.
Probability Problem explained in this solution. Supose a pill exists with the property that one out of every 100 such pills contains a lethal amount of a substance, and that the other 99 are harmless. Caluclate how many people would be expected to..
the man is 5 feet tall. The pole casts a shadow that is 36 feet and the man casts a shadow of 8 feet. How tall is the telephone pole?
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