Answer:
The average value of the function on the given interval 6.5.
Step-by-step explanation:
Consider the given function is

We need to find the average value of the function on the given interval [1,13].


The average value of the function f(x) on [a,b] is

Average value of the function on the given interval [1,13] is

![Average=\dfrac{1}{12}[\dfrac{x^2}{2}-0.5x]^{13}_{1}](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B%5Cdfrac%7Bx%5E2%7D%7B2%7D-0.5x%5D%5E%7B13%7D_%7B1%7D)
![Average=\dfrac{1}{12}[\dfrac{(13)^2}{2}-0.5(13)-(\dfrac{(1)^2}{2}-0.5(1))]](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B%5Cdfrac%7B%2813%29%5E2%7D%7B2%7D-0.5%2813%29-%28%5Cdfrac%7B%281%29%5E2%7D%7B2%7D-0.5%281%29%29%5D)
![Average=\dfrac{1}{12}[78-0]](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B78-0%5D)

Therefore, the average value of the function on the given interval 6.5.
Answer:
The streets of millston are laid out like a grid, with each square block being the same size. the distance from the movie theater to the restaurant is 1/2 mile along cabot street .If there are exactly 4 blocks between the two locations, how long is each block.
Answer: $63.16
<u>Step-by-step explanation:</u>
Probability of winning is
. Which means that it would take 38 spins to win one time.
Since the average player spins 60 times then the number of wins is:
= 1.58
So, the average person wins: ($700 + $20) x 1.58 = $720(1.58) = $1136.84
and the average person spends: $20 x 60 spins = $1200.00
The net gain for the house is $1200.00 - $1136.84 = $63.16
Answer:
Yes
Step-by-step explanation:
We can add 20 to both sides and get 120=4v. Divide both sides by 4 and find that 30=v. Therefore, Lance is correct.
X=3 because 21 divided by 7 is 3