Solve the problem that involves probabilities with independent events.A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow. If the pointer is spun three times, find the probability it will land on green every time.

A.
B.
C.
D.


Answer: C

Mathematics

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Solve the problem.Zina is paid $30 per hour for a 40-hour workweek, but is paid time and a half for overtime work. Give expressions for Zina's pay if she works t hours. Distinguish between the cases where t is less than and greater than 40.

A. For t ? 40, Zina's pay is $30t. For t > 40, Zina's pay is $1200 + ($45)t B. For t ? 40, Zina's pay is $30t. For t > 40, Zina's pay is $45t C. For t ? 40, Zina's pay is $30t. For t > 40, Zina's pay is $1200 + (t - 40)($45) D. For t ? 40, Zina's pay is $30t. For t > 40, Zina's pay is $1200 + (t - 40)($60)

Mathematics

Find any vertical asymptotes.g(x) = 

A. x = -2, x = 7 B. x = -5 C. x = 2, x = -7 D. x = 5

Mathematics

Find the lateral area of a cylinder with radius 4 in and height 6.2 in. Round the answer to two decimal places.

(a) 155.82 in² (b) 77.91 in² (c) 38.96 in² (d) 233.73 in²

Mathematics

Use a sum-to-product identity to rewrite the expression.sin 5° - sin 23°

A. 2 cos (-9.0°) sin 14.0° B. 2 sin (-9.0°) sin 14.0° C. 2 sin (-9.0°) cos 14.0° D. 2 cos (-9.0°) cos 14.0°

Mathematics