Solve the problem.Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e-2x, and the line x = 3 about the y-axis.
A. 
?(1 - 6 e-6)
B. 
?(1 - 5 e-6)
C. 
?(1 - 7 e-6)
D. - 
?(1 + 7 e-6)
Answer: C
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Solve the problem.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 irrelevant alternatives criterion satisfied?
A. Yes B. No
Decide whether or not the set of ordered pairs defines a function.{(-6, -1), (-6, 7), (2, -8), (6, -9), (7, 2)}
A. Yes B. No
Solve.x2 + 5x - 24 = 0
A. {-8, 3} B. {8, -3} C. {-8, 1} D. {8, 3}
Use Bayes' rule to find the indicated probability.Quality Motors has three plants. Plant 1 produces 35% of the car output, plant 2 produces 20% and plant 3 produces the remaining 45%. One percent of the output of plant 1 is defective, 1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective. The annual total production of Quality Motors is 1,000,000 cars. A car chosen at random from the annual output and is found defection. What is the probability that it came from plant 2?
A. 0.35 B. 0.559 C. 0.224 D. 0.217