Provide an appropriate response.If A and B are independent events, how many of the following statements must be true?(i) A' and B are independent.(ii) A and B' are independent.(iii) A' and B' are independent.

A. Two
B. One
C. None
D. All


Answer: D

Mathematics

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Find the derivative of the given function.5 cos-1 2xy + x2 = 3

A.
B.
C.
D.

Mathematics

Use Euler's method to find y-values of the solution for the given values of x and ?x, if the curve of the solution passes through the given point.  = 1 + ; x = 2 to x = 3.5; ?x = 0.5; (2, -3)

A.

B.

C.

D.

Mathematics

Solve the problem.After a person stops pedaling a bicycle, the wheel rotates 470 times the first minute. Each subsequent minute, it rotates 3/4 as many times as in the previous minute. How many times will the wheel rotate before coming to a complete stop?

A. 1880 rotations B. 3760 rotations C. 626.7 rotations D. 3290 rotations

Mathematics

Find the missing parts of the triangle. A = 10.5°a = 149 ftb = 176 ftIf necessary, round angles to the nearest tenth and side lengths to the nearest foot.

A. B1 = 157.1°, C1 = 12.4°, c1 = 318 ft B2 = 1.9°, C2 = 167.6°, c2 = 27 ft B. B = 12.4°, C = 157.1°, c = 318 ft C. no such triangle D. B1 = 12.4°, C1 = 157.1°, c1 = 318 ft B2 = 167.6°, C2 = 1.9°, c2 = 27 ft

Mathematics