Due to concerns about the underinflation of footballs, the National Football League (NFL) created a series of standards that must be met for the weight, length, and the long and short circumferences of each ball. It is stated that the balls are to be inflated to between 12.5 to 13.5 pounds. The pressure output by the ball pump is approximately Normal with a mean of 13 pounds and a standard deviation of 0.25 pounds. At each game, the home team must supply 12 balls to the referee 2 hours and 15 minutes prior to the start of the game for inspection. (a) What is the probability that a randomly selected ball will not meet the inflation specifications?

Ineed big ! the cost of a school banquet is $25 plus $15 for each person attending. create a table, sketch the graph, and write an equation in slope-intercept and point-slope form that gives total cost as a function of the number of people attending. what is the cost for 77 people?

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?

Graph the system of equations on your graph paper to answer the question. {y=−x+4y=x−2 what is the solution for the system of equations? enter your answer in the boxes.