The answer are below, the work is show step by step.
At school, 588 students bought a school
1 answer:
Answer:
80%
Step-by-step explanation:
Step 1: Add the given data
588 + 147 = 735
Step 2: Divide the number of students who bought a school shirt by the total number of students
588 ÷ 735
=
= 0.8
Step 3: Convert the decimal to fraction
0.8 = 80% (Move the zero 1 place behind the number and remove the ".")
Or
0.8 × 100 = 80%
Therefore, 80% of students bought a school shirt.
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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