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Elena L [17]
3 years ago
10

Find the slope of the line that is parallel to the line y=2x+5 ​ ​ m=

Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0
M=2
The slope intercept form is y=Mx+b,where m is the slope and b is the y intercept y=Mx+b

Using the slope intercept form the slope is 2 m=2

All lines that are parallel to y =2x-5 have the same slope of 2

M=2
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Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the
Ad libitum [116K]

<u>Answer-</u>

<em>The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .</em>

<u>Solution-</u>

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}

Putting the values from the table,

m=\frac{(8 \times 1020.206)-(52 \times 150.894)}{(8 \times 3810)-(52^2)}

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

\Rightarrow m =\frac{8161.648-7846.488}{3040-2704} =\frac{315.16}{336}=0.937

Now, for the y-intercept,

c =\frac{\sum y -m(\sum x)}{N}

Putting the values,

c=\frac{150.894-(52 \times 0.937)}{8}=\frac{102.125}{8}=12.765

Now, putting the values of c and m, in the Slope-Intercept formula,

y=0.937x+12.765


3 0
3 years ago
*HELP*
romanna [79]

Answer: an average resulting from the multiplication of each component by a factor reflecting its importance.

Step-by-step explanation:

3 0
3 years ago
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Verdich [7]

The answer is c = .6x + 5  

In order to find the equation, note that the price per pound is contingent upon the weight in x. Therefore, we can multiply the two together.

We also need to add the constant, which is 5.

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3 years ago
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Please help me! I will make you the brainliest! Don't answer if you don't know
Helen [10]
Table C is a function, because none of the numbers in the X column repeat. (All the other ones do.):-)Hope I could help!!
4 0
3 years ago
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I need help assap !!!!
tatiyna

Answer:

C & D

Step-by-step explanation:

Both have an odd amount of numbers, meaning there is a perfect middle.

8 0
3 years ago
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