A class contains 10 Management (M) majors and 20 World Climate (W) majors of which half the M and half the W majors have brown eyes (B). What is the correct expression to compute the probability that a person chosen at random is a management major or has brown eyes

5/6

Step-by-step explanation:

Number of people in management majors = 10, number of people in world climate = 20.

Total number of people in class = Number of people in management majors + number of people in world climate = 10 + 20 = 30

Number of people with brown eyes = 10 / 2 + 20 / 2 = 5 + 10 = 15

Probability that a person chosen at random is a management major or has brown eyes = P(M or B)

P(M or B) = P(M) + P(B)

But probability of management major [P(m)] = Number of people in management majors / total number = 10 / 30 = 1/3

probability of brown eyes = Number of people with brown eyes / total number = 15 / 30 = 1/2

P(M or B) = P(M) + P(B) = 1/3 + 1/2 = 5/6

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.