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

There are 204 teddy bears in the shipment.
Step-by-step explanation:
Total number of cases received = 17 cases
Numbers of bears per case = 12 bears
Total number of bears in the shipment = Cases received * Bears per case
Total number of bears = 
Total number of bears = 204
There are 204 teddy bears in the shipment.
Keywords: multiplication
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at first we write each one as a sequence
and find its equation
the first table
-19, -11, -3, 5
8x-19
the third table
15,12,9,6
-3x+15
the second table
-1. 5,1.5,3,4.5
+3 +1.5 +1.5
so the third table is the nonlinear function
Answer:
7 degrees colder
Step-by-step explanation:
15 degrees - 8 degrees = 7 degrees
Answer: makes it a function if it is straight or if no points touch and if it has a constant rate of change
Step-by-step explanation: