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DENIUS [597]
3 years ago
11

Try This question and I’ll give you brainliest

Mathematics
2 answers:
Amanda [17]3 years ago
6 0

Answer:

3

Step-by-step explanation:

We want to cancel out the 3y.  The second equation has a -y so if we multiply that by 3 we'll get -3y and when we add the ys go away.

rewona [7]3 years ago
4 0

Answer:

Step-by-step explanation:

Answer:

Multiply the 2nd row by 3.

Step-by-step explanation:

Multiply the second row by 3.  Then we have:

2x + 3y = 18

21x - 3y  = 30

Now, if we combine these two equations, y will disappear and we'll have:

23x = 48, so that

x = 48/23.

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A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. Th
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Answer:

A)there is a strong positive correlation

B)A function that best fits the data is \widehat{y}=6x+10

C)Slope indicates the rate of change of Number of products per employee

y intercept indicates number of products when number of employees are 0

Step-by-step explanation:

Number of employees (x) 0  25  50  75  100  125  150  175  200

Number of products (y)   10 160 310 460 610 760 910 1060 1210

Part A: Is there any correlation between the number of employees in the plant and the number of products produced yearly?

Mean of x values = \frac{0+25 + 50 + 75 + 100 +  125 + 150 + 175 + 200}{9}=900

Mean of y values = \frac{10+160+ 310+ 460+ 610+ 760+ 910+ 1060+ 1210}{9} =610

\sum(x-\bar{x})^2= 37500

\sum(y - \bar{y})^2 = 1350000

N =No. of observations= 9

\sum(x - \bar{x})(y-\bar{y}) = 225000

R Calculation

r = \frac{\sum((x-\bar{x})(y - \bar{y}))}{\sqrt{\sum(x - \bar{x})^2(y-\bar{y})^2}}

r=\frac{225000}{\sqrt{(37500)(1350000)}}\\r= 1

So, there is a strong positive correlation

B: Write a function that best fits the data.

Regression Equation = ŷ = bx + a

b = \frac{225000}{37500} = 6\\a = \bar{y} -b \bar{x} = 610 - (6 \times 100) = 10\\ \widehat{y}= 6x + 10

So, a function that best fits the data is \widehat{y}=6x+10

C)What does the slope and y-intercept of the plot indicate?

Slope indicates the rate of change of Number of products per employee

y-intercept indicates the y-coordinate of a point where a line, curve, or surface intersects the y-axis.

So, y intercept indicates number of products when number of employees are 0 .

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Step-by-step explanation:

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