Find an equation of the tangent to the curve at the point by first eliminating the parameter.


Mathematics

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Convert the given polar coordinates of the point to rectangular coordinates.(9, ?)

A. (0, -9) B. (0, 9) C. (9, 0) D. (-9, 0)

Mathematics

Find the volume of the specified solid. Use 3.14 as the approximate value of ?, and round your answer to the nearest tenth.A sphere with radius 4 ft

A. 67.0 ft3  B. 267.9 ft3  C. 150.7 ft3  D. 2143.6 ft3

Mathematics

Assume the distribution is normal. Use the area of the normal curve to answer the question. Round to the nearest whole percent.The average size of the fish in a lake is 11.4 inches, with a standard deviation of 3.2 inches. Find the probability of catching a fish longer than 17 inches.

A. 96% B. 5% C. 8% D. 4%

Mathematics

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

Mathematics