Solve the problem. Write ratios in lowest terms.Peter's farm has a well that is 6
feet deep. Jill has a well in her backyard which is 11 feet deep. Find the ratio of the depth of Peter's well to Jill's well.
A.
B.
C.
D.
Answer: D
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Translate the problem to a system of equations, then solve using Cramer's Rule.Twice the water flow in the hot-water pipe is the same as three times the flow in the cold-water pipe. The combined flow is 1200 liters per hour. What is the flow in each pipe?
A. 600 liters/hr hot, 400 liters/hr cold B. 400 liters/hr hot, 600 liters/hr cold C. 720 liters/hr hot, 480 liters/hr cold D. 480 liters/hr hot, 720 liters/hr cold
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
Express the given vector as a linear combination of the unit vectors i and j.
A. 3i + 6j B. -i + 2j C. 6i + 3j D. 2i - j
Find the opposite of the number.-9
A. 9
B. 9
C. 2
D. -2