Sara has 3 choices to get to school: walk, ride a bike, or ride the bus. She has the same choices to get home after school. If Sara randomly chooses how she is getting to school and home, what is the probability that she will walk to school and then ride the bus home? 1/9

2/9

1/6

2/6

60 2(x + 2) in the diagram, gef and hef are congruent. what is the value of x?

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?

Typically a point in a three dimensional cartesian coordinate system is represented by which of the following answers in the picture !