You are working at a bank and doing resource planning. you think that there should be six tellers working in the bank. tellers take 15 minutes per customer with a standard deviation of 5 minutes. on average one customer arrives every three minutes according to an exponential distribution. a. on average how many customers are waiting in line? b. on average how long would a customer spend in the bank?

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

14. (05.02 lc) what is the value of y in the solution to the following system of equations? (5 points) 2x + y = −4 5x + 3y = −6

0if x and y vary inversely and y=6 as x=7, what is the constant of variation?