An airport shuttle company owns cars that have a maximum capacity of 4 passengers and vans that have a maximum capacity of 9 passengers. They have 11 total vehicles that can combine to carry a total of 79 passengers. (7 points) A) Write a system of equations to represent this situation (hint: x = number of cars, y = number of vans). B) Solve the system of equations to determine how many cars and vans the company has.

At his new job, jeremiah can choose an hourly rate of $9 plus a $50 weekly bonus for opening the store, or an hourly rate of $10 per hour with no opening bonus. the equations model his salary options. y = 9x + 50 y = 10x

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

What is the value of x? assume that the line is tangent to the circle.