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
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Solve the problem.A company makes a very durable product. It sells 20,000 in the first year, but will have diminishing sales due to the product's durability, so that each year it can expect to sell only seventy-five percent of the quantity it will have sold the year before. How many products can the company expect to eventually sell?
A. 26,667 products B. 40,000 products C. 80,000 products D. 35,000 products
Translate the sentence into an equation, then solve.r decreased by 
is 5.
A. r - 5 = 
, r = 1
B. r - 
= 5, r = 5
C. 
- r = 5, r = 5
D. r - 
= 5, r = 4
Perform the indicated operation and simplify.
? 
A. 
B. 
C. 
D. 
Provide an appropriate response.Consider the following 1 × 1, 2 × 2, and 3 × 3 match stick designs.
How many match sticks are needed for a 7 × 7 design?
A. 98 B. 56 C. 112 D. 53