The following table shows the probability distribution for a discrete random variable. X 24 26 27 32 35 39 P(X) 0.16 0.09 0.18 0.12 0.24 0.21 What is the mean of this discrete random variable? That is, what is E(X), the expected value of X?

A. 31.47
B. 29.5
C. 32.63
D. 30.5

The table represents a linear function. what is the slope of the function? –6 –4 4 6

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.

Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?