The correct works are:
The function is given as:
The interpretation when Steven is asked to calculate Blue(s + h) is that:
Steven is asked to find the output of the function Blue, when the input is s + h
So, we have:
Evaluate the exponent
Expand the bracket
So, the correct work is:
In (a), we have:
The difference quotient is represented as:
So, we have:
Evaluate the like terms
Evaluate the quotient
Hence, the correct work is:
Read more about function notations at:
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: