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zysi [14]
2 years ago
10

Please help solve questions

Mathematics
2 answers:
Ipatiy [6.2K]2 years ago
5 0

Answer:

<u>Given inequality</u>

\sf 2x + 3y < 6

<u>Rearrange to make y the subject</u>

\sf \implies 2x + 3y < 6

Subtract 2x from both sides:

\sf \implies 3y < -2x + 6

Divide both sides by 3:

\sf \implies y < -\dfrac23x + 2

<u>When graphing inequalities</u>

If the inequality sign is < or > then the line of the graph should be dashed.

If the inequality sign is ≤ or ≥ then the line of the graph should be solid.

If y < (less than) then the shading is below the line.

If y > (more than) then the shading is above the line.

Therefore, as the inequality is y < the line should be dashed and the shading should be below the dashed line.

To plot the line, substitute x = 0 and x = 3 into the equation:

\sf  \implies -\dfrac23(0) + 2=2

\sf  \implies -\dfrac23(3) + 2=0

Therefore, plot points (0, 2) and (3, 0).  Draw a dashed straight line through the points.  Shade below the dashed line.

Alekssandra [29.7K]2 years ago
4 0

Take some points

  • 2x+3y<6
  • 3y<-2x+6
  • y<-2/3x+2

As here < sign present line will be dashed and shading should be done below the line

So

  • (1,1)
  • (1,0)
  • (2,0)
  • (-1,2)

Graph attached

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Answer:

42.1% of variation in the response is explained by the regression line

Step-by-step explanation:

Correlation coefficient is a measure which tells us that how strongly are two variables under study are linearly related to each other i.e correlation coefficient gives the strength of linear association between the variables.

If the magnitude of correlation coefficient is closer to 1, it indicates a strong linear relationship. If the magnitude of correlation coefficient is closer to 0, it indicates a weak linear relationship.

There is another variable known as "Coefficient of Determination", which is equal to square of Correlation Coefficient. Coefficient of Determination tells us that what percentage of variation in the response of the study can be explained by the regression line.

This means, for this question we need to calculate the Coefficient of Determination.

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Coefficient of Determination = R = r² = (0.649)²= 0.421 = 42.1 %

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3 years ago
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Natasha2012 [34]
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Answer:

Solution: 4\frac{3}{4}, 3.5, -15, 5

Not a solution: 129 and 10\frac{2}{3}

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2 years ago
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<span>(13 + 5) + 5 = 23
</span>
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Read 2 more answers
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