Solve using matrices. -5x - y - 3z = -455x + 4y - 7z = -21 -7x - 6y + z = -53

A. (2, 8, 9)
B. (-2, 8, 4)
C. (2, 9, 8)
D. (4, 8, -2)


Answer: A

Mathematics

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Evaluate the surface integral of G over the surface S.S is the cylinder y2 + z2 = 81, z ? 0 and 3 ? x ? 6; G(x, y, z) = z

A. 486 B. 54 C. 1458 D. 243

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Convert as indicated. If necessary, round to the nearest tenth of a degree.At a particular business, it is required that the temperature be kept at 72°F, but the thermostat is calibrated in degrees Celsius. Find the temperature to be set.

A. 23.2°C B. 22.2°C C. 136°C D. 161.6°C

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Factor the expression completely. ? ?

A.
B.
C.
D.

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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

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