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A woman walks due west on the deck of an ocean liner at 7 mph. The ocean liner is moving due north at a speed of 23 mph. Find the speed and direction of the woman relative to the surface of the water.
A uniform boom AC, 4m long and weighing 50 N is smoothly hinged at C and is supported at A by a rope AB. Find the tension in the rope and the size and direction of the reaction at C.
Appropriate probability space. Consider the experiment of choosing a whole number between 1 and 10, where the probability
Probability using Bayes theorem. An oil executive has determined that the probability that this oil field contains oil is 0.6. Before starting the drilling she decides to order a seismological test to see if there is oil in the ground.
Patrick Seeley has $2,400 that he is looking to invest. His brother approached him with an investment opportunity that could double his money in four years. What interest rate would the investment have to yield in order for Patrick's brother to de..
Suppose you have 54 feet of fencing to enclose a rectangular dog pen. THe function A = 27x - x^2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maxmimum area? Round to the nea..
show that the number of different triples that can be chosen from N items is precisely N(N-1)(N-2)/6..(use mathematical induction)
What is the probability that a random sample of 50 such women will yield a mean entry-level that exceeds $58,000?
How much money can it spend if an acceptable variance is 5% of its budgeted amount? (even though the correct answer would contain less than/equal to, use the less than sign--the system will not accept the less than, equal to sign).
Radium-221 has a half-life of 30 sec. How long will it take for 79% of a sample to decay?
Using minimax regret criterion, what decision should be made by the decision maker?
How many different triple-scoop cones can be made if the flavors can be duplicated?
Find the nodes x_i and the weights w_i so that the Gaussian quadrature of the sum from i=1 to 2 of (w_i) f(x_i) approximating the integral from -1 to 1 of f(x)dx is exact when f(x) is a polynomial of as high degree as possible.
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