Acompany prices its tornado insurance using the following assumptions: • in any calendar year, there can be at most one tornado. • in any calendar year, the probability of a tornado is 0.08. • the number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year. using the company's assumptions, calculate the probability that there are fewer than 4 tornadoes in a 16-year period.

When benny’s sister penny is 24, benny’s age will be 125% of her age. how old is lenny? a) how old will benny be then? b)if benny is 12 years old now, how old is penny now? explain your reasoning.

Can some one explain how to slove specifically, what is the value of x? 0.9(x+1.4)-2.3+0.1x=1.6 enter the answer as a decimal in the box. x= ?

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.