A pair of fair dice is cast. Let E denote the event that the number falling uppermost in the first die is 5 and let F denote the event that the sum of the numbers falling uppermost is


Mathematics

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Factor completely the polynomial. Indicate any that are not factorable using integers.x 2 + 10xy + 24y 2 

A. (x + 4y)(x - 6y) B. (x + 4y)(x + 6y) C. (x - 4y)(x + 6y) D. (x - 4y)(x - 6y) E. not factorable

Mathematics

Use the appropriate Taylor polynomial of degree 3 at x = 0 to approximate the quantity. Round the answer to four decimal places.ln 1.29

A. 1.2561 B. 0.1991 C. 0.0511 D. 0.2561

Mathematics

Solve the problem.If Marco hired a plumber for 5 hours the total cost would be $170. If he hired the same plumber for 13 hours , the total cost would be $410. Assume a linear relationship between the cost, y, in dollars and the number of hours worked, x. Find an equation in slope-intercept form that models the relationship between the cost and the number of hours worked.

A. y = 30x + 20 B. y = 30x + 20x C. y = 35x + 20 D. y = 30x + 60

Mathematics

Express f(x) in complete factored form.f(x) = x4 + 9x2

A. f(x) = x2(3x + i)(3x - i) B. f(x) = x2(x + 3i)2 C. f(x) = x2(3x + i)2 D. f(x) = x2(x + 3i)(x - 3i)

Mathematics