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Zepler [3.9K]
3 years ago
7

15. A bag contains 8 blue chips, 7 green chips, and 2 white chips. If three chips are drawn

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0
2/15
Explanation is well altogether there is 15 chips the probability to get out 2 blue chips is 2/15 and to get a green chip it 1 / 15
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The sum of three times a number and six is twelve.
Kaylis [27]

For this case we must raise the equation according to the given statement.

Let the variable "x" be the unknown number.

So, three times the number is: 3x

If to that term is added "6" we have:

3x+6

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3x+6 = 12

Thus, the equation is: 3x+6 = 12

Answer:

3x+6 = 12

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[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation
irina1246 [14]

Answer:

y=-\frac{158}{579}

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]

And the vector B is formed with the solution of each equation of the system:b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called A_{2}.

A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]

The value of y using Cramer's rule is:

y=\frac{det(A_{2}) }{det(A)}

Find the value of the determinant of each matrix, and divide:

y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}

y=-\frac{158}{579}

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3 years ago
What expression represents the volume of the cylinder, in cubic units?
Marat540 [252]

Answer:

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Step-by-step explanation:

I hope that it's a correct answer.

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