Determine the probability using a probability tree.A bent coin lands tails up with a probability 0.8. If the coin is flipped three times, determine P(at least one tail appears in the three flips).
A. 0.008
B. 0.992
C. 0.032
D. 0.488
Answer: B
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Find the perimeter and the area of the figure.
A. perimeter: 12 in.; area: 36 sq in. B. perimeter: 24 in.; area: 36 sq in. C. perimeter: 36 in.; area: 24 sq in. D. perimeter: 24 in.; area: 144 sq in.
Solve the problem.The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $30 and on an SST ring is $60?
A. 8 VIP and 16 SST B. 12 VIP and 12 SST C. 0 VIP and 24 SST D. 16 VIP and 8 SST
Solve the system of equations by elimination.x +
y =
6x + 2y = 48
A. (-6, 10) B. (-10, 7) C. (-10, 6) D. (10, -6)
Find the equation of the transverse axis of the hyperbola. 25(x - 5)2 - 4(y + 4)2 = 100
A. x = -4 B. x = 7 C. y = 4 D. y = -4