Determine whether any of the listed candidates has a majority.Four candidates running for mayor receive votes as follows:Ito: 43,191, Johnson: 19,196, Kennedy: 9598, Lieberman: 14,397
A. Yes
B. No
Answer: B
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Solve the system.x2 + y2 = 41x + y = 9
A. {(-5, -4), (-4, -5)} B. {(5, -4), (4, -5)} C. {(-5, 4), (-4, 5)} D. {(5, 4), (4, 5)}
Find the vertex, focus, and directrix of the parabola. Graph the equation.x2 = 12y
A. vertex: (0, 0)
focus: (3, 0)
directrix: x = -3
B. vertex: (0, 0)
focus: (-3, 0)
directrix: x = 3
C. vertex: (0, 0)
focus: (0, 3)
directrix: y = -3
D. vertex: (0, 0)
focus: (0, -3)
directrix: y = 3
Convert the angle in degrees to radians. Express the answer as multiple of ?.87°
A.
B.
C.
D.
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