Solve the problem.A container, in the shape of an inverted right circular cone, has a radius of 6 inches at the top and a height of 10 inches. At the instant when the water in the container is 9 inches deep, the surface level is falling at the rate of -1.9 in./s. Find the rate at which water is being drained.
A. -301.69 in.3/s
B. -174.05 in.3/s
C. -204.13 in.3/s
D. -166.21 in.3/s
Answer: B
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Use Bayes' rule to find the indicated probability.A company is conducting a sweepstakes, and ships two boxes of game pieces to a particular store. Box A has 3% of its contents being winners, while 5% of the contents of box B are winners. Box A contains 37% of the total tickets. The contents of both boxes are mixed in a drawer and a ticket is chosen at random. What is the probability it came from box A if it is a winner?
A. 0.009 B. 0.188 C. 0.375 D. 0.258
Use the information given about the angle ?, 0 ? ? ? 2?, to find the exact value of the indicated trigonometric function.cos ? = ,
< ? < 2?Find sin(2?).
A. -
B. -
C.
D.
Provide an appropriate response.In using the following form of Bayes' theorem,P(R?T) = , can P(T), if it is known, be substituted for the entire denominator?
A. Yes B. No
Multiply. Assume that no radicands were formed by raising negative numbers to even powers.( + 3)(
- 3)
A. 8 - 2
B. 5
C. -1
D. 17