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Explain the characteristics of integer programming problems. Give specific instances in which you would use an integer programming model rather than an LP model. Provide real-world examples.
A drawer contains n=5 different and distinguishable pairs of socks (a total of 10 socks). If a person randomly selects 4 socks, what is the probability that there is no matching pair in the sample?
A nontrivial graph G is called prime if G = G_1 x G_2 implies that G_1 or G_2 is trivial. Show that if a connected graph G has a vertex which is not in a cycle of length four, then G is prime.
Adams High School has 171 freshman, 189 sophomores, 212 juniors, and 238 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
The size of a certain bacteria culture doubles each hour. If the number of bacteria present initially is 3000, how many would be present at the end of 6 hours?
Find the absolute maximum and minimum mpg
Important information about Probability and Expected Value. Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the probability that the second marble is blue, given that the firs..
The number of staff personnel needed to handle patients at a medical center is determined by the mean time that patients must wait before being attended to by a physician. For a random sample of 100 previously recorded emergencies, the sample mean..
Important information about Cumulative Probability, Suppose the probabilities that a new car battery functions
Let A be the real 2x2 matrix with bc greater than or equal to 0. Prove there exists a real 2x2 invertible matrix S so that S^-1 A S is either diagonal or of the form
Calculate the ratio of the area to the volume for a unit cube, a unit sphere inscribed inside the cube, and a right cylinder inscribed inside the cube.
What is the probability of getting the indicated result
Prove that the function f(x) = C (a constant function) is Reimann integrable over [a,b] and calculate its Reimann integral over [a,b]
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