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1. Let A be a non-empty set. Prove that if there exists an injection f : A -> N(natural numbers), then A is finite or countably infinite.
2. Prove that on the real line R, the collection of all closed intervals with rational endpoints is a countable set.
Until recently, with the advent of cellular phones, modems, and pagers, the area codes in the United States and Canada followed a certain system
state the fundamental counting principle and explain it in your own words.compare and contrast permutations and
Find the vertices of the rectangle with maximum area.
Blaise drew a scale drawing of a swimming pool. In real life, the pool is 12 meters wide. It is 15 millimeters wide in the drawing. What is the scale of the drawing?
A biologist has found the average weight of 32 randomly selected mud turtles to be 8.7 lb with standard deviation 3.6 lb. construct a 95% confidence interval for the population
On a recent English test, students were given the names of four authors and four novels (one author one title), and asked to match each novel, with the correct author. If a student just guesses randomly, what is the probability of getting zero, on..
Use the Poisson distribution to find the probability that the company make a profit from the 1300 policies.
To order meat to be grinded at the meat factory costs 1/10 of the meat as the fee. If you need 2 pounds of meat, how much meat will the meat factory have to grind?
Calculate the appropriate test statistic to test the hypotheses.
The Walsh Family has decided to drive to Walt Disney World, in Orlando Florida, for their summer vacation. They will drive 260 miles in 4 hours. Write a direct variation equation to find the distance driven for any number of hours.
question given two point charges q and 2q a distance l apart is there a point along the straight line that passes
discover card would like to test the hypothesis that the average credit score for an adult in dallas is different from
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