Mels family is driving out of state to go to her grandmothers house. They know that it takes 20 gallons of gas to get there, and the cost of 3 gallons of gasoline is $10.50. How much should the family budget to make the one way trip

Use the distributive law to multiply. 3(4x + 5y + 6)

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?

How can you use synthetic substitution to tell whether a given binomial is a factor of a polynomial?