Rewrite the fractions with their lcd.

(1)/(3x-)/(5x-15y)

a.
2/8x-21y and 2/8x-21y

b.
5(x-3y)/15(x-3y) and 18(x-3y)/15(x-3y)^2

c.
5/15(x-3y) and 18/15(x-3y)

d.
5/15x-135y and 18/15x-135y

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?

Yvaries inversely as x. y =12 when x=5. find y when x=4

(-y to the power of 2 - 4y- to the power of 2 -6 y +3)