Shannon feeds her cat twice a day. In the morning, she feeds her cat one can of cat food. In the evening, she feeds her cat one and a half cans of cat food. Shannon's cat eats $10$ ounces of cat food a day. Write and solve an equation to find out how much cat food, in ounces, each can of cat food holds. Respond in the space provided.

Which of the following circles have their centers in the third quadrant? check all that apply.

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?

What is the perimeter of a rectangle if the length is 5 and the width is x?