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