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Kay [80]
3 years ago
15

Determine the solution of the system. Show your work

Mathematics
1 answer:
Oxana [17]3 years ago
3 0
First question:

1. Set equations equal to each other so 5x-9=2x+6
2. Put x's on one side so that 3x=15
3. Divide by 3 so that x=15
4. Substitute 15 in for x so that y=2(15)+6
5. Solve for y so that y=36
6. Thus the equations intersect at (15,36)

Second question:

1. Since for lines y=mx+b, and m=slope=3 you only need to write an equation with slope 3
2. y=3x+b, b can be any number
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24 pens either red or blue ratio of red to blue 5:1 how many pens are red and how many are blue
Angelina_Jolie [31]

Answer:

20 red pens

4 blue pens

Step-by-step explanation:

red to blue

 |           |

\/          \/

5    :      1

5+1=6

24/6=4

4 x 5=20

4 x 1=4

4 0
4 years ago
Read 2 more answers
The Correlation Coefficient for a relationship is - 0.95. What percentage of the dependent variable in the correlation is due pu
seropon [69]

Answer:

The unexplained variance would be 100-90.25 % = 9.75. And that correspond to the percentage of the dependent variable in the correlation is due purely to chance

Step-by-step explanation:

Previous concepts

Pearson correlation coefficient(r), "measures a linear dependence between two variables (x and y). Its a parametric correlation test because it depends to the distribution of the data. And other assumption is that the variables x and y needs to follow a normal distribution".

In order to calculate the correlation coefficient we can use this formula:  

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

On this case we got that r =-0.95

In order to find the % of variance explained by the model we need to calculate the determination coefficient given by:

R^2 = (-0.95)^2 = 0.9025

And that means this : "90.25% of the variation of y is explained by the variation in x"

So then the unexplained variance would be 100-90.25 % = 9.75. And that correspond to the percentage of the dependent variable in the correlation is due purely to chance

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Katie cut out a piece of wrapping paper that was 2 times as long and 3times as wide as the box that she was wrapping.The box was
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10+10+12+12
44 inches
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4 years ago
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Convert the decimal<br> To an improper fraction 6.25
pishuonlain [190]

Answer:

25/4

Explanation:

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