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 ? 9), the probability that it lands in [2, 9].

A. 0.77
B. 0.07
C. 1.54
D. 0.49


Answer: A

Mathematics

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Find the surface area of the surface S.S is the cap cut from the sphere x2 + y2 + z2 = 16 by the cone z = 3.

A. 16?
B. 16?
C. 32?
D. 16

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Provide an appropriate response.The miles a person can see to the horizon from a point above the surface of Earth is 0.85 of the square root of the person's distance in feet above the surface. Karen is 39 feet higher and sees 2.55 miles farther than Sharon. How high are Karen and Sharon above the surface?

What will be an ideal response?

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Find the values of ? in degrees and radians without the aid of a calculator. cos ? = 0 and tan ? = Not defined ? ?

A. 90° = 
B. ?60° = 
C. ?0° = 0
D. ?30° = 
E. ?45° = 

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Provide an appropriate response.The supply and demand equations for a certain product are  and  where p is the price in dollars. Find the price where supply equals demand.

Fill in the blank(s) with the appropriate word(s).

Mathematics