The problem describes procedures that are to be applied to numbers. Represent the original number as n and use deductive reasoning to prove a conjecture that relates the result of the process to the number n.Select a number. Multiply the number by 88. Add 88 to the product. Divide this sum by 44. Subtract two from the quotient.
A. 
- 2 = 2n + 2 - 2 = 2n
B. 
- 1 = n + 1 - 1 = n
C. 
- 2 = n + 1 - 2 = n - 1
D. 
- 2 = 2n + 1 - 2 = 2n - 1
Answer: A
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Solve the problem.In the adjoining figure, AOB is a line. Find the value of x. 
A. x = 25 B. x = 35 C. x = 40 D. x = 30
Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
A. 
B. 
C. 
D. 
Approximate with a scientific calculator. If necessary, round to four decimal places.antilog (3.1687)
A. 1.1533 B. 0.5009 C. 1474.6875 D. 23.7766
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