Customers arrive at a full-service gas station, with two pumps, at rate of 30 cars per hour. However, customers will go to another station if there are at least four cars in the station: i. e., two being served and two waiting. Suppose that the service time for customers is exponential with mean 5 minutes. Denote by Xt the number of cars at the gas station at time t (both waiting and being served). a) In the long-run, how many cars per hour are served at the station? b) If the gas station is currently empty, what is the expected time until it becomes full?

need more information

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105