Solve the problem.An urn contains two red (R) balls and six blue (B) balls. Balls are drawn randomly, in succession, and without replacement until a blue ball is drawn.(a) Draw a tree diagram that summarizes all possible selections and label it with appropriate probabilities.(b) Find the probability that the number of balls drawn is two.(c) Find the probability that the number of balls selected is three.
What will be an ideal response?
(a)
| (b) |  |
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Find the product.(3x - 4)3
A. 27x3 - 108x2 + 108x - 64 B. 27x3 - 108x2 + 144x - 64 C. 9x2 - 24x + 16 D. 27x3 + 108x2 + 144x + 64
Solve the problem.The volume V (in cubic inches) of a cylindrical pipe with length 12 inches is given by V(r) = 12?r2, where r is the radius of the piston (in inches). If the radius is increasing with time t (in minutes) according to the formula r(t) = 
t2, t ? 0, find the volume V of the pipe as a function of the time t.
What will be an ideal response?
Write the partial fraction decomposition of the rational expression.
A. 
+ 
B. 
+ 
C. 
+ 
D. 
+ 
Find the vertices of the hyperbola.y2 - x2 = -49
A. (0, 49) and (0, -49) B. (7, 0) and (-7, 0) C. (0, 7) and (0, -7) D. (49, 0) and (-49, 0)