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A pulley is suspended 13.5 m above a small bucket of cement on the ground. A rope is put over the pulley. One end of the rope is tied to the bucket and the other end dangles loosely to the ground. A construction worker holds the end of the rope at a constant height (1.5 m) and walks away from beneath the pulley at 1.6 m/s. How fast is the bucket rising when he is 9 m away from the path of the rising cement bucket?
Find the probability
Isomorphisms, Residue Classes and Multiplication Tables, Show that U(10) is isomorphic to Z_4 and write out the isomorphism explicitly.
Calculate the mean and variance of profit where the mean and variance for the number of units produced are 500 & 900 respectively.
From a group of three finalists for a privately endowed scholarship, two individuals are to be selected for the first and second places. Determine the number of possible selections.
To make a conjecture about the tangent lines and the graph with the proof of the conjecture - Find the distance between the functions is greatest, and prove your conjecture.
Using expeccted value to find a fair bet in five card stud. If casino five card stud were fair, how much should it pay to a player who bets $10 and gets a full house versus a dealer who gets two pair?
Assume f is continuous on the interval (a,b) that contains x0 and f(x0)>0. Show there is an open interval J that contains x0 and m>0 such that f(x)>=m for each x in J.
Write a short paper describing a graph or a series of graphs that would represent a real life situation or problem from your own life.
Probability and computing the odds. Compute the odds of each of the following events and rank them in order of decreasing likelihood.
Probability- Different Colours of Marbles, A jar contains 3 white marbles, 2 yellow marbles, 4 red marbles, and 5 blue marbles. Two marbles are picked at random. What is the probability that
What percentage of the Indians like oranges and apples and A market research group conducted a survey of 1000 consumers and reported that 720 consumers liked product A and 450 liked product B. What is the least number that must have liked both prod..
Given the following matrices/vectors:linear systems: find x,y such that Ax=b and Ay=a (note x, y with vector character over each)
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