Answer:
The answer is: There is a negative correlation in the data set.
Step-by-step explanation:
Answer:
- determinant: -15
- x = 3; y = 4; z = 1
Step-by-step explanation:
The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.
<h3>coefficient matrix, determinant</h3>
The first attachment shows the coefficient matrix and its determinant.
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<h3>solution</h3>
The solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.

This multiplication is shown in the second attachment. It tells us ...
![\textbf{X}=\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}3\\4\\1\end{array}\right]](https://tex.z-dn.net/?f=%5Ctextbf%7BX%7D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D3%5C%5C4%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
y = 12x represents the gallons of paint used in x hours.
Step-by-step explanation:
CJ uses 3 gallons of paint in 15 minutes,
15 minutes = 3 gallons
1 minutes = 
1 hour = 60 minutes
Gallons of paint used in 1 hour;
1 hour = 
CJ uses 12 gallons of paint in 1 hour.
For x hours = 12*x = 12x
Gallons of paints used = y
y = 12x represents the gallons of paint used in x hours.
Keywords: linear equation, multiplication
Learn more about multiplication at:
#LearnwithBrainly
Answer:
1/2 of a gallon
Step-by-step explanation:
3 divided by 6 is 1/2
Answer:
54
Step-by-step explanation: