3. How is the expected payoff of an event different than the expected value of an event? a. The expected payoff takes into consideration the cost of the event, while the expected value of an event does not.

b. The expected value takes into consideration the cost of the event, while the expected payoff of an event does not.

c. The probability of each event is higher for expected payoff than for expected value.

d. none of the above

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.