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mixas84 [53]
3 years ago
8

Complete the solution of the equation find the value of y when x equals 2. -8x - 5y = -1

Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Answer: y = -3

<u>Step-by-step explanation:</u>

-8x - 5y = -1

<u>+8x        </u>  <u>+8x </u>

       -5y = 8x  - 1

       <u> ÷-5 </u> <u> ÷-5</u>  <u>÷-5</u>

           y = -\frac{8}{5}x + \frac{1}{5}

       y(2) = -\frac{8}{5}(2) + \frac{1}{5}

               = -\frac{16}{5} + \frac{1}{5}

               = -\frac{15}{5}

                = -3

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An economist conducted a study of the possible association between weekly income and weekly grocery expenditures. The particular
kolezko [41]

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.

Correlation coefficient = r = 0.649

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

This means that 42.1% of variation in the response is explained by the regression line.

5 0
3 years ago
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Scilla [17]

Answer: The answer is D

Step-by-step explanation:

3 0
3 years ago
Which of the following is an equation for the plane through the point (1, 1, −1) and parallel
Bas_tet [7]

The given plane, x-y+z=3, has normal vector \vec n = \langle1,-1,1\rangle. Any plane parallel to this one has the same normal vector.

Let (x,y,z) be any point in the plane we want. The plane contains the point (1, 1, -1), so an arbitrary vector in this plane is

\langle x,y,z\rangle - \langle 1,1,-1\rangle = \langle x-1, y-1, z+1 \rangle

and this is perpendicular to \vec n.

So the equation of the plane is

\langle x-1, y-1, z+1 \rangle \cdot \vec n = 0 \implies (x-1) - (y-1) + (z+1) = 0 \implies \boxed{x - y + z = -1}

or equivalently,

\boxed{-x + y - z = 1}

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2 years ago
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vladimir1956 [14]

This too hard- i havent learned it yett --.-- sowwyy

8 0
2 years ago
What does 2 (p -q) +5 (p+q) equal when p = 7 and q = -2? Answer:​
salantis [7]

Answer:

43

Step-by-step explanation:

Given

2(p - q) + 5(p + q) ← substitute p = 7 and q = - 2 into the expression

= 2(7 - (- 2)) + 5(7 + (- 2))

= 2(7 + 2) + 5(7 - 2)

= 2(9) + 5(5)

= 18 + 25

= 43

7 0
3 years ago
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