Match the numbers with the LCM.
1 answer:
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Answer:
9.11*10^-4 %
Step-by-step explanation:
To find the probability, you simply need to find the possible outcomes that allows no rooks to be in danger, and the possible amount of ways to place the rooks.
For the first outcome, you start by putting 1 rook in the first columns, you have 8 possible rows to do this. The next rook in the next column will only have 7 possible rows, as you have to exclude the one where the previous rook is located. The next rook, 6 possibilities, the next 5, and so on. So we conclude that the total amount of ways so that none of the rooks can capture any of the other rooks is 8*7*6*5*4*3*2*1 = 8! = 40320
In order to find the total amount of ways to place the rooks, you can just use a combinatoric:
Then:
P =
The function is graphed as shown below
Part A:
We use the formula
to find the vertex of the function. A quadratic function of the form of 
and equating this form to the given function 
, we have
and 
.
Substituting
and 
into the vertex formula, we have
, as shown in the graph
This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos
Part B:
We can find solution to this equation by factorising
and 
, as shown in the graph
The two values means that the company makes no profit when they either produce 5 or 15 photos
Part A:
We use the formula
Substituting
This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos
Part B:
We can find solution to this equation by factorising
The two values means that the company makes no profit when they either produce 5 or 15 photos