Jackie has one red pencil. one yellow pencil, one blue pencil,

one green pencil, one orange pencil, and one purple pencil. She

also has one red pen, one blue pen, and one black pen. If Jackie

randomly selects one pencil and one pen, what is the probability

that she will select a purple pencil and a black pen in that order?

A. 1/72

B. 1/18

C. 1/10

D. 1/2

B. 1/18

Step-by-step explanation:

We know that in the case of pencils, there are 6 in total, and since there is one of each, the probability of each would be:

1/6

In the pen, it is similar, since there is also one of each and in total there are 3, therefore the probability is:

1/3

Which means that the final probability is:

1/6 * 1/3 = 1/18

Which means that the answer is B. 1/18

(d)

Step-by-step explanation:

(d) is correct.  This being a 5th power of x, the graph starts in Quadrant III and continues growing into Quadrant I.  This is true of any positive odd power of x.