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Choose ONE of the following topics and USER YOUR OWN WORDS to write a brief summary (a sentence or two) on the topic. 5 points will be given for a correct and mathematically significant statement. DO NOT USE FANCY LANGUAGE OR DICTIONARY DEFINITIONS YOU MAY FIND ON THE INTERNET. KEEP YOUR WORDS AT THE LEVEL OF THIS COURSE.  Then, you can pick ONE extra topic FROM THIS SAME LIST for 5 bonus points.  (1) expected value (2) linear vs. exponential growth (3) musical scales and harmony (4) apportionment methods by Hamilton and Jefferson Use the response box below. You do not have to use any mathematical notation or symbols. 

Find the negation of the statement “No one likes eggplants.”

In an election with 5 candidates, there is never a Condorcet winner.

If you randomly split the subject group (patients) into a control group and a treatment group, where the control group gets a placebo, you are conducting an experiment.

The following options are available for a mortgage:  [Option 1] 30-year mortgage with monthly payments of $2018.60. [Option 2] 15-year mortgage with monthly payments of $3070.20.  How much will you save overall (for the term of the mortgage) by choosing Option 2 (the shorter loan) compared to Option 1? Write ONLY your answer(s) in the box below. On your own paper, show all your work and justify your answer(s). You will be submitting the paper at the end of this test. 

Based on the Richter scale, a magnitude 4.0 earthquake has 100 times as much energy as a magnitude 2.0 earthquake.

Five candidates are running in an election, and voters are to rank them in the order of preference. In how many ways can a voter rank the five candidates?  

Being interested in the average household income of a town, a researcher randomly chose 500 households in that town and found their annual income. The average was $65,000 a year. Here, “$65,000” is a parameter. 

In an economics study, researchers have discovered that children who travel to Europe during high school end up earning more money as adults. Therefore, it is valid to conclude that traveling to Europe while in school leads to higher income. 

A district has three schools and 30 school nurses. Use Hamilton’s Method to determine how many school nurses each school should get. (Hint: first, find the standard divisor.) School Students Quota Min. Q. Remainder Nurses East 4450 South 3200 North 7350 15,000 Write ONLY your answers (the right column) in the box below. On your own paper, show all your work and justify your answers. You will be submitting the paper at the end of this test. You should copy the entire table.