Solve the problem.A dart is thrown at a number line in such a way that it always lands in the interval  Let x be the number the dart hits. Suppose the probability density function for x is given byf(x) = , for 0 ? x ? 10.
Find P(2 ? x ? 5), the probability that it lands in [2, 5].

A. 0.03
B. 0.09
C. 0.42
D. 0.21


Answer: D

Mathematics

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Solve the equation.0.43x + 0.4(8,000 – x) = 3350 

A. x = 5,000 B. x = 3,000 C. x = –3,000 D. x = 8,000 E. no solution

Mathematics

Solve the problem.Find the area bounded by y =  , x = 0, y = 0, and x = 3.

A.  sin-1
B.  tan-1
C. sin-1
D.  tan-1

Mathematics

Solve the indicated system of equations algebraically.The area of a rectangular rug is 70 square feet and its perimeter is 38 feet. Find the dimensions of the rug.

A. 6 yd by 14 yd B. 5 yd by 13 yd C. 6 yd by 13 yd D. 5 yd by 14 yd

Mathematics

The histogram shows the scores of each participant in a game from a total of 100 participants. Use the histogram to answer the question.  The greatest number of participants is within which category?

A. 60-79 B. 60-69 C. 40-59 D. 80-99

Mathematics