If f (x) is the probability density function for the blood cholesterol level of men over the age of 40, where x is measured in milligrams per deciliter, express as an integral the probability that the cholesterol level of such a man lies between 195 and 245.


d.

Mathematics

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The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 1 for r(t) = (9t - 3t4)i  + (2 - t)j + (7t2 - 2t)k

A. a(1) = -36i - j + 14k B. a(1) = 36i + 14k C. a(1) = -9i + 14k D. a(1) = -36i + 14k

Mathematics

Solve the problem.A vertical right circular cylindrical tank measures  high and diameter. It is full of oil weighing . How much work does it take to pump the oil to the level of the top of the tank? Give your answer to the nearest ft ? lb.

A. 10,640,197 ft ? lb B. 5,320,099 ft ? lb C. 44,334 ft ? lb D. 2,660,049 ft ? lb

Mathematics

Write the trinomial in standard form and then factor completely. If the trinomial cannot be factored, say it is prime.18 + 17x + x2

A. prime B. (x + 9)(x + 2) C. (x + 18)(x + 1) D. (x + 18)(x - 1)

Mathematics

Factor completely.8p3 - 1

A. (2p - 1)(4p2 + 1) B. (2p + 1)(4p2 - 2p + 1) C. (8p - 1)(p2 + 2p + 1) D. (2p - 1)(4p2 + 2p + 1)

Mathematics