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guapka [62]
3 years ago
13

Please I need help with this problem

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0

Answer: shorter: 24 longer: 41

Step-by-step explanation: we need to write an equation. x+(2x-7)=65. We don’t need the parentheses, but I put them so it would make it a bit more clear. Simplify: 3x-7=65. Add 7 to both sides: 3x=72. Divide by three: 72/3=24 Now we know the shorter piece is 24. 24x2-7=48-7=41. We know these are correct because 24+41=65

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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
3 years ago
Find the derivative of the function <br>y=x^3-8x^2+21x+1
aleksandrvk [35]
y=x^3-8x^2+21x+1 \\&#10;y'=3x^2-16x+21
6 0
3 years ago
What is the equation of the line passing through the points (2/5, 19/20) and (1/3, 11/12) in slope-intercept form?
antiseptic1488 [7]

Answer: b is the answer

Step-by-step explanation:

4 0
3 years ago
What’s the difference between x and 4 is greater than 10
daser333 [38]

Answer:

There is a whole range of speeds at which you are allowed to drive, not just one. In cases like this where there is more than one correct answer, we use inequalities, not equations, to represent the situation.

Inequalities are mathematical statements that define a range of values. They are easily recognizable because they contain the symbols <, ≤,>, or ≥.

6 0
3 years ago
What is the z score of x=12 if it is two standard deviations to the right of the mean?
Tanzania [10]

The value of the Z-score will be equal to 2.

<h3>What is Z-score?</h3>

The z score indicates how many standard deviations your score is from the mean.

At the mean position, the standard deviation is 0 now the z score is the measure of the data which is how far from the mean. So the given data is at two standard deviations to the right of the mean so the Z-Score will be 2.

Therefore the value of the Z-score will be equal to 2.

To know more about Z-scores follow

brainly.com/question/25638875

#SPJ1

3 0
2 years ago
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