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Question: 1. Eight additional samples arrive and so the Storage Coordinator cannot guarantee that the Protagonist's sample will remain in drawer 59. What two sets seem to have the same cardinality here? Define a function to verify that their cardinality is, in fact, the same.
2. "Every sample is in a numbered drawer. I'll just move every sample to the drawer with twice the current number, and then all the odd-numbered drawers will be free."
(a) What is the sample-moving function proposed by the storage coordinator?
(b) Make and prove a conjecture about cardinalities of sets. Is there a bijection hiding here?
Find 4 arithmetic means of 1/3 and 11/3.
A researcher wants to determine if teenage drivers of red automobiles are more likely to run a red light than automobiles of any other color. She stands at a busy intersection and records the colors of automobiles which run red lights.
How many belonged to either one or the other or both?
Explain which of the three measures of central tendency (mean, median, mode) are appropriate to use for each of the two cases below. Do not work out the problem. Only express your answer and explain why you chose the answer.
Is it possible for three successive terms of the Fibonacci sequence to be odd?
A certain company produces potting soil and sells itin 50 lb bags. Suppose that 200,000 bags are to be produced eachyear. It costs $4 per year to store a bag of potting soil, and itcosts $1000 to set up the facility to produce a batch of bags. Fin..
Let E(n) be the statement that in a triangulation of a simple polygon with n sides, at least one of the triangles in the triangulation has two sides bordering.
Write the statement that the square of every real number is greater than or equal to zero as a quantified statement about the universe of real numbers.
Prove that if it is possible to label each element of an infinite set S with a finite string of keyboard characters, from a finite list characters.
Sketch the regions enclosed by the given curves. Find its area
a) Write the mathematical expression for the probability density function of the percent discount. b) What is the probability that a new buyer will expect a discount that is between 5% and 12%?
If you take out a 20-year mortgage at 6.4% interest compounded monthly, what percentage of the principal will be paid off after 10 years? (Round your answer to two decimal places.)
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