Fast-food restaurants spend quite a bit of time studying the amount of time cars spend in their drive throughs. Certainly the faster the cars get through the drive through, the more opportunity for making money. QSR magazine studied drive through times for fast-food restaurants and found Wendy's has the best time, with a mean time spent in the drive through of mu=138.5 second. Assuming drive through times are normally distributed with a standard deviation of 29 seconds, answer the following:
(a) What is the probability that a randomly selected car will get through the Wendy's drive through in less than 100 seconds, P(X<100)?
(b) What is the probababily that a car will spend more than 160 seconds in the Wendy's drive through, P(X>160)?
(c) According to our normal model, what is the probababily that a car will spend less than 4 minutes in the Wendy's drive through P(X<240)? (Note: you will not be able to get me a precise value for this probability using the table, but you can tell me what is has to be greater than.)
(d) Would you say that it is unusual for a car to spend more than 4 minutes in the Wendy's drive through? Why?

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

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.

its a, i had the same answer, its from study island right

step-by-step explanation:

you divide them and then you get the answer i took this class this year

step-by-step explanation: