The following density function describes a random variable X.

1) f(x)=x/100 if 0 < x < 10 and 2) f(x)=(20−x)/100 if 10 < x < 20
Draw a graph of the density function and then use it to find the probabilities below:

A. Find the probability that X lies between 9 and 12.
Probability =

B. Find the probability that X is less than 11.
Probability =

C. Find the probability that X is greater than 8.
Probability =

Measures of the angle of r, 31 s (x+4) t (3x+9)

Determine whether the points (–3,–6) and (2,–8) are in the solution set of the system of inequalities below. x ? –3 y < 5? 3x + 2 a. the point (–3,–6) is not in the solution set, and the point (2,–8) is in the solution set. b. neither of the points is in the solution set. c. the point (–3,–6) is in the solution set, and the point (2,–8) is not in the solution set. d. both points are in the solution set.

Solve for x and y a x= 13.3 y= 16.7 b x= 23.3 y= 12.5 c x= 7.5 y= 16.7 d x=7.5 y= 12.5