A bag of marbles contains 9 yellow marbles, 6 white marbles, 3 blue marbles, and 7 red marbles. A marble is picked at random and replaced. This is done a total of three times. What is the probability of picking a red marble, a white marble, and a blue marble? 

A.
B.
C.
D.
E.


Answer: D

Mathematics

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Use the method of undetermined coefficients to solve the differential equation. + y = 9x + cos 2x;   = 0 and y = 9? when x = ?

A. y = -9 sin x -  cos x + 9x -  cos 2x
B. y = 9 sin x +  cos x + 9x -  cos 2x
C. y = 9 sin x -  cos x + 9x -  sin 2x
D. y = 9 sin x -  cos x + 9x -  cos 2x

Mathematics

Find all the first order partial derivatives for the following function.f(x, y, z) = x2y + y2z + xz2

A.  = 2xy;  = x2 + 2yz;  = y2 + 2xz
B.  = 2xy + z2 = x2 + yz;  = y2 + xz
C.  = 2y + z2 = x2 + 2z;  = y2 + 2x
D.  = 2xy + z2 = x2 + 2yz;  = y2 + 2xz

Mathematics

Use similar triangles and the fact that corresponding sides are proportional to find the length of the side marked with an x.

A. 9 m B. 4 m C. 6 m D. 3 m

Mathematics

Use a scientific calculator to approximate the common logarithm. Round to four decimal places.log 2507

A. 3.4009 B. 3.3974 C. 3.3992 D. 7.8268

Mathematics