There are 32 students in mrs. worrells classroom. there are 12 boys and 20 girls. she needs to select two students to represent she class for a math contest. she will put all her students names on a piece of paper and randomly select two names, one after the other. what is the possibility that she will select a boy first and then a girl? a. 1/4 b. 15/64 c. 15/62 d. 1/2

Pranza plotted point a in the coordinate plane below.

You need to solve a system of equations. you decide to use the elimination method. which of these is not allowed? 3x - 2y = 7 3x + 4y = 17 equation 1 equation 2

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?