3. The distance, x, a house is from a fire station and the amount of damage, d, the house sustained in a fire are given in the table. Distance (miles) 3.5 4.0 5.2 5.0 4.0 5.4 6.3

Damage
(per $1000)
25 30 45 38 42 34 12

Which statement is false?
a. The domain is (3.5, 4.0, 5.0, 5.2, 5.4,
6.3}
b. The table models a function.
c. The range is {12, 25, 30, 34, 38, 42, 45).
d. If the house is 6.3 miles away from a fire station, the house will sustain $12,
000 in damage.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

Two numbers have a sum of 93. if one number is p, express the other number in terms of p.

Find the area of the region between a regular hexagon with sides of 6" and its inscribed circle.