Acircle with a radius of 1/2 ft is dilated by a scale factor of 8. which statements about the new circle are true? check all that apply.
a. the length of the new radius will be 4 feet.
b. the length of the new radius will be 32 feet.
c. the new circumference will be 8 times the original circumference.
d. the new circumference will be 64 times the original circumference.
e. the new area will be 8 times the original area.
f. the new area will be 64 times the original area.
g. the new circumference will 8pi be
h. the new area will be 16pi square feet.

Rectangle bcde is similar to rectangle vwxy. what is the length of side vy? a) 1 7 b) 2 7 c) 3 7 d) 4 7

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?

This summer the number of tourists in salem increased 4.5% from last years total of 426000. how many more tourists came to salem this summer