Find the expected value of the probability density function to the nearest hundredth.f(x) = 1 - ; [1, 4]

A. 2.50
B. 2.67
C. 2.83
D. 3.00


Answer: C

Mathematics

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Solve the problem.Wallcoverings, Inc. just received a new line of posters that have a net cost of $4. If they were given discounts of 25% and 5%, find the list price.

A. $5.61 B. $2.80 C. $2.85 D. $5.71

Mathematics

Solve the problem.In one city, the local cable TV company charges $3.13 for each pay-per-view movie watched. In addition, each monthly bill contains a basic customer charge of $15.50. If last month's bills ranged from a low of $24.89 to a high of $81.23, over what range did customers watch  movies?

A. movies watched varied from 4 to 22 inclusive B. movies watched varied from 2 to 20 inclusive C. movies watched varied from 2 to 22 inclusive D. movies watched varied from 3 to 21 inclusive

Mathematics

The polynomial is given in one of the three forms: standard, root, or factored. Change it to the specified form. f(x) = 7(x + 4); write in factored form

A. f(x) = 7(x + 4)(7x - 8)
B. f(x) = (x + 4)(8x - 7)
C. f(x) = (x + 4)(7x - 8)
D. f(x) = (x + 4)(7x - 8)

Mathematics

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree).B = 105.0°, b = 33.0 mi, a = 23.0 mi 

A. A = 42.3°, C = 32.7°, c = 18.4 mi B. A = 42.3°, C = 32.7°, c = 12.9 mi C. A = 32.7°, C = 42.3°, c = 18.4 mi D. A = 32.7°, C = 42.3°, c = 12.9 mi E. No solution.

Mathematics