1. the ratio of apples to oranges is 3 to 2. if you have 30 apples, how many oranges do you have?
2. the ratio of dogs to cats is 5 to 3. if there are 20 dogs, how many cats are there?
3. the ratio of honey bees to hives is 10,000 to 3. if there are 9 hives, how many honey bees are there?
4. the ratio of computers to desk is 2 to 3. if there are 15 desk, how many computers are there?

Write the product as a trinomial. (x + 2)(x + 3) x2 + 5x + 6 x2 + 6x + 6 x2 + 6x + 5 x2 + 5

Which expression is equivalent to -5(3x - 6/7)

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?