Figure b is a scaled copy of figure a. help?
1 answer:
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The formula for the average value of a function is 
where b is the upper bound and a is the lower. For us, this formula will be filled in accordingly. 
. We will integrate that now: ![\frac{1}{2}[ \frac{2x^3}{3}+3x]](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%5B%20%5Cfrac%7B2x%5E3%7D%7B3%7D%2B3x%5D%20%20)
from 0 to 2. Filling in our upper and lower bounds we have ![\frac{1}{2}[( \frac{2(2^3)}{3}+3(2))-0]](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%5B%28%20%5Cfrac%7B2%282%5E3%29%7D%7B3%7D%2B3%282%29%29-0%5D%20%20)
which simplifies to 
and 
which is 17/3 or 5.667
Answer:
a) 1/6
b) 1/36
c) 1/720
d) 1/3
Step-by-step explanation:
a) Any of the six comics can perform in the fourth place, so there is one chance in six that Comic F is the one that performs fourth.
b) In this case, we have two conditions. Both are independent of each other, so the probability of both happening is the product of the probabilities of each happening individually:
c) This combination is one in all possible orders of perform. The amount of combinations of orders is n!=6!=720 possible combinations. So the probability of this specific order is:
d) In this case, of the six possible comics performing in the last place, we calculate the probability of 2 of them being in that place. So the probability is: