The time for Speedy Pizza to deliver a pizza has a mean of 10 minutes, and a standard deviation of 2.8 minutes. Speedy guarantees that all pizzas will be delivered within 15 minutes or the customer will receive the pizza free. If delivery time follows a normal distribution, use a random number of .961 to simulate one pizza delivery time. Give your answer to 3 decimal places.

14.9336

Step-by-step explanation:

Given that :

Mean = 10

Standard deviation = 2.8

To simulate a pizza delivery time with a random z - value of 0.961

Using the Z - probability calculator :

To find the x value corresponding to Z = 0.961

P(Z < x) ; P(Z < x) = 0.961 = 1.762

Simulated delivery time for the random number generated :

Mean + (Zscore * standard deviation)

10 + (1.762 * 2.8)

10 + 4.9336

= 14.9336

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: