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


Answer: C

Mathematics

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A. 45
B.
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Mathematics

Graph the fraction on a number line.

A.

B.

C.

D.

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Solve the following quadratic application using the Square Root Property.Find at what rate of interest Pat will need to invest $3700 for 2 years to get a return of $5190. (Use  where P is the original amount deposited in the account, A is the amount in the account at the end of 2 years, and r is the rate of return.) Approximate r to the nearest hundredth when necessary; then convert it to a percentage.

A. The rate of interest will need to be approximately -0.02 = -2%. B. The rate of interest will need to be approximately 1.08 = 108%. C. The rate of interest will need to be approximately 0.18 = 18%. D. The rate of interest will need to be approximately 2.48 = 248%.

Mathematics

Solve.In chemistry, the pH of a substance is defined by  where  is the hydrogen ion concentration in moles per liter. Find the  of a sample of lake water whose hydrogen ion concentration, , is  moles per liter. (Round to the

nearest tenth.) A. 10.1 B. 6.4 C. 7.3 D. 8.5

Mathematics