Odessa is itemizing deductions on her federal income tax return. her agi was $173,790 last year, and she contributed $88,570 to charity. if charitable contributions are deductible up to 50% of a taxpayer's agi, how much can odessa deduct for charitable contributions?

Given f(x) = 17-x^2what is the average rate of change in f(x) over the interval [1, 5]?

The longer leg of a 30° 60° 90° triangle is 16 times square root of three how long is a shorter leg

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?