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Consider the following relation R on the set of positive integers:
R = {(x,y)|x and y have the same prime divisors}
Is this relation reflexive, symmetric, antisymmetric, and/or transitive?
When the temperture stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 70 cubic inches of gas at a pressure of 14 pounds per square inch
Upstream, downstream: Junior's boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?
By a line, a great circle on the sphere is referenced. Is it still true that two points determine a unique line? Is it still true that two distinct lines either meet in a single point or do not meet at all?
Evaluate the ratio of circumferences of inscribed and circumscribed circles in a regular hexagon
Biased Bernoulli Process, Suppose that two teams that meet in the world series are closely matched: the better team wins a given game with a probability of .55
Probability Average sale of product is 87,000 on a normal curve with a standard deviation of 4,000. What is the probability that sales will be less
Which of the resource constraints profit the most and why? Identify the sensitivity ranges for the profit of a sausage biscuit and the amount of sausage available. Explain the sensitivity ranges.
Explain what the index of a subgroup and a coset of a group are. Also, prove that if N is a subgroup of a group G such that [G: N] = 2, and if "a" and "b" are elements of G,
For the pairs of lines defined by the following equations indicate with an "I" if they are identical, a "P" if they are distinct but parallel, an "N" (for "normal") if they are perpendicular, and a "G" (for "general") if they are neither parallel ..
Find the center of mass of the lamina bounded by y = x^2 and y=2x and the density is ?(x,y) = xy.
Evaluate the iterated integral. Evaluate the double integral
Explain Stock probability, We have been informed that the stock has gone up 20%. What is the probability of a rise or fall in the GDP?
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