OmpassLea... Algebra 3...
E The
** Algebra 3 Part 1 2020-2021 Hanlon
3
4
5
Solve the system of equations.
3x + 3y + z = 3
3x + 2y + 62 = 7
4x + 4y + 72 = 4
a. (x = 5, y = - 4,2 = 0)
b. (x = 4, y = -3, z = 1)
c. (x = 6, y = -5,2=-1)
d. (x = 7, y = -6, 2-2)
Please select the best answer from the choices provided

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?