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MArishka [77]
3 years ago
6

Pls help with all the answers m

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0

Answer:

every answer except -40 and -20

answer:-77,-100,-45

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Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r
erastova [34]

Answer:

The probability is \frac{56!}{64!}

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, 64 \choose 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  f : A \rightarrow A , 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

\frac{8!}{64 \choose 8} = \frac{8!}{\frac{64!}{8!56!}} = \frac{56!}{64!}

7 0
2 years ago
Choose the best score on a quiz. 24 points out of 42 24 points out of 42 75 points out of 135 75 points out of 135 150 points ou
stellarik [79]

Answer:

150/250

Step-by-step explanation:

24/42, 75/135, 150/250, and 75/150 I believe is what you're asking. We know 75/135 is better than 75/150 so 75/150 is out of the equation. If we multiple 75/135 by 2 we get 150/270 which is more than 150/250, so 75/135 is out of the equation. Now to compare 24/42 and 150/250 we can divide their fractions, if we divide 24/42 we get 0.57, so 57%. If we did 150/250 we get 0.6 or 60%. So 150/250 is the best score.

8 0
2 years ago
Read 2 more answers
Please please help me please please help help me thank you
inn [45]

Step-by-step explanation:

c=4.49×0.86w is answer

4 0
2 years ago
Evaluate x+y when x=−45 and y=13. Write your answer as a fraction or mixed number in simplest form. The value of the expression
dimaraw [331]

Answer:

-32

Step-by-step explanation:

-45+13= -32

4 0
3 years ago
Priya is stacking building blocks to make a tower. She takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the
tensa zangetsu [6.8K]

Answer:

4 feet.

Step-by-step explanation:

Let x be the height of tower when finished.

We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.

This means that 5/8 of x equals 2\frac{1}{2}. Let us represent this information in an equation.

\frac{5}{8}*x=2\frac{1}{2}

Let us convert our given mixed fraction into improper fraction.

\frac{5}{8}*x=\frac{5}{2}

Let us multiply both sides of our equation by 8/5.

\frac{8}{5}\times \frac{5}{8}*x=\frac{5}{2}\times \frac{8}{5}

x=\frac{8}{2}

x=4

Therefore, the tower will be 4 feet tall when finished.

5 0
2 years ago
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