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3 years ago

WILL GIVE BRAINLIEST

Mathematics

1 answer:

Olenka [21]3 years ago

5 0

Janine’s error is that she incorrectly counted the spaces that point C has shifted. Focusing on point C like Janine did, to get to point C’ you would need to shift 3 units to the left and 5 units down. This would make the new translation rule (x-3, y-5) to get from triangle ABC to triangle A’B’C’.

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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

Start to finish must use all boxes, cant go diagonally

aleksandr82 [10.1K]

start at the top and go down one then go to the right and the vice verse

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8 0

3 years ago

I cant see the answers anyone else has the problem

Jet001 [13]

Answer: im having the same problem

Step-by-step explanation:

7 0

3 years ago

How many times smaller will a number become if is it decreased by 20%?

stealth61 [152]

Answer:

Step-by-step explanation:

I'm unsure why my answer was deleted, randomly deleted a thoroughly explained answer.

20% is 20/100, 1/5, or 0.2

The number will decrease by a factor of 5.

3 0

3 years ago

PLEASE HELP!!! ASAP!!!!!!!!!!!!!!! 10 POINTS

I am Lyosha [343]

$1800|2\\.\ 900|2\\.\ 450|2\\.\ 225|5\\.\ \ 45|5\\.\ \ \ 9|3\\.\ \ \ 3|3\\.\ \ \ 1|\\\\1880=2\cdot2\cdot2\cdot5\cdot5\cdot3\cdot3=2^3\cdot5^2\cdot3^2\\\\Answer:\ \boxed{2^3\cdot3^2\cdot5^2}$

$\sqrt[3]{320}\\\\320|2\\160|2\\.\ 80|2\\.\ 40|2\\.\ 20|2\\.\ 10|2\\.\ \ 5|5\\.\ \ 1|\\\\320=2\cdot2\cdot2\cdot2\cdot2\cdo2\cdot5=2^3\cdot2^3\cdot5=2^3\cdot2^3\cdot\\\\\sqrt[3]{320}=\sqrt[3]{2^3\cdot2^3\cdot5}=\sqrt[3]{2^3}\cdot\sqrt[3]{2^3}\cdot\sqrt[3]{5}=2\cdot2\sqrt[3]{5}=4\sqrt[3]5\\\\Answer:\ \boxed{\sqrt[3]{320}=4\sqrt[3]{5}}$

4 0

3 years ago

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