Answer:
The probability is
Step-by-step explanation:
We can divide the amount of favourable cases by the total amount of cases.
The total amount of cases is the total amount of ways to put 8 rooks on a chessboard. Since a chessboard has 64 squares, this number is the combinatorial number of 64 with 8,
For a favourable case, you need one rook on each column, and for each column the correspondent rook should be in a diferent row than the rest of the rooks. A favourable case can be represented by a bijective function with A = {1,2,3,4,5,6,7,8}. f(i) = j represents that the rook located in the column i is located in the row j.
Thus, the total of favourable cases is equal to the total amount of bijective functions between a set of 8 elements. This amount is 8!, because we have 8 possibilities for the first column, 7 for the second one, 6 on the third one, and so on.
We can conclude that the probability for 8 rooks not being able to capture themselves is
Answer:
You will have to divide $11.20 by 32 ounces to find how much it is per ounce:
Each ounce of strawberries costs $0.35
Step-by-step explanation:
A3=2.6
a4=?
a5=-.4
note that
-2d=-.4-2.6
-2d=-3
-d=-3/2
d=1.5
thus the 4th term is 2.6-1.5=1.1 done
Answer:
You don't need to gather several points of data to answer the question. For example, the question, 'What is 2 plus 2?' is a non-statistical question. This question has only one correct answer that doesn't change.
Step-by-step explanation:
Answer:
f(3) = -16
Step-by-step explanation:
f(x) = -2(x + 5)
Let x=3
f(3) = -2(3+5)
Add the terms inside the parentheses
=-2 (8)
= -16