Amber and her friends want to go roller skating. the castle charges $5 admission pluse $2 per hour for skate rental. midtown rink chargea $10 admission plus $1 per hour for akate rentalfor how many houra of skate rental, x, will the total cost, y, be the same at both skating rinks? what would the total cost be write a system of equations, graph, and name the solution.

Another type of subtraction equation is 16-b=7. explain how you would sole this equation then solve it.

2.5 milligrams is equivalent to how many grams

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?