Which sentence is the most accurate definition of an identity?
a. an identity is an equation that is true for all real numbers
b. an identity is an equation that is true for all real values in its domain.
c. an identity is an equation that is true for all real values in its range.
d. an identity is an equation that can be verified by substituting input values.

Ab and bc are tangent to circle d. find x is ab = 3x + 8 and bc = 26. find x

Find the condition that the zeros of the polynomial f(x) = x^3+3px^2+3px+r may be in a.p.

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?