A board 25 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.__________ feet
Fill in the blank(s) with the appropriate word(s).
10
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Use the requested method to find the product.8494 ? 255; use Napier's rods
A. 2,166,070 B. 2,164,970 C. 2,175,970 D. 2,165,970
Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(1) = 3, u '(1) = -5, v(1) = 6, v '(1) = -3.
(3v - u) at x = 1
A. 21 B. -4 C. 15 D. -14
Use Bayes' rule to find the indicated probability.Quality Motors has three plants. Plant 1 produces 35% of the car output, plant 2 produces 20% and plant 3 produces the remaining 45%. One percent of the output of plant 1 is defective, 1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective. The annual total production of Quality Motors is 1,000,000 cars. A car chosen at random from the annual output and is found defection. What is the probability that it came from plant 2?
A. 0.35 B. 0.559 C. 0.224 D. 0.217
Write the expression as the sine, cosine, or tangent of an angle.cos 112° cos 45° + sin 112° sin 45°
A. cos 67° B. sin 67° C. sin 157° D. cos 157°