Use the preference table to answer the question.The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). If the Borda count method is used to determine the winner and Clark drops out, is the independence-of-irrelevant-alternatives criterion satisfied?

A. Yes
B. No


Answer: A

Mathematics

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Find the length of the curve.x = 6 sin3 t, y = 6 cos3 t, 0 ? t ? ?

A. 6 B. 36 C. 12 D. 18

Mathematics

Classify the statement as true or false. Consult the following list as needed.  = the set of natural numbers   = the set of whole numbers  = the set of integers   = the set of rational numbers 

src="https://sciemce.com/media/4/ppg__10702191845__f1q427g5.jpg" alt="" style="vertical-align: 0.0px;" height="11" width="11" /> = the set of irrational numbers  = the set of real numbers ? 

A. True
B. False

Mathematics

Solve the problem.A location in the Atlantic Ocean extends down to a maximum depth of 16,360 feet. How deep is this location in meters? Use 1 mile ? 1.609 kilometers and round to the nearest meter.

A. 4980 m B. 4985 m C. 4988 m D. 4958 m

Mathematics

Use Bayes' rule to find the indicated probability.Two stores sell a certain MP3 players. Store A has 34% of the sales, 5% of which are of defective items, and store B has 66% of the sales, 1% of which are of defective items. The difference in defective rates is due to different levels of pre-sale checking of the product. A person receives a defective item of this product as a gift. What is the probability it came from store B?

A. 0.275 B. 0.22 C. 0.5667 D. 0.7083

Mathematics