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lara31 [8.8K]
3 years ago
12

Estimate the correlation coefficient for each of the above scatter plots?

Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0

Answer:

Negative Correlation

Step-by-step explanation:

We see that the overall trend is going from up to down. If you were to draw a best line of fit, it would have a negative slope. Therefore, our correlation is negative.

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What is the determinant of this matrix:
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-56

Step-by-step explanation:

Formula to get determinant is::

\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc

0(0)-8(7)

0 - 56

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a = 13

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Hello!! This is how you do it!!

a - 7 = 3 (2)

a - 7 = 6

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1 year ago
Yesterday Mike bought 2 gallons of regular gasoline and 3 gallons of premium gasoline at a gas station for $13.60 today he bough
larisa [96]

Answer:

Cost of 1 gallon of Regular gasoline is $2.45 and  Cost of 1 gallon of Premium gasoline is $2.90.

Step-by-step explanation:

Let the Cost of Regular gasoline be 'x'.

Let the Cost of Premium gasoline be 'y'.

Given:

Amount of regular gasoline bought yesterday = 2 gallons

Amount of premium gasoline bought yesterday = 3 gallons

Total Cost of yesterday = $13.60

Now we know that Total Cost of yesterday is equal to sum of Amount of regular gasoline bought yesterday multiplied by Cost of Regular gasoline and Amount of Premium gasoline bought yesterday multiplied by Cost of premium gasoline.

Framing in equation form we get;

2x+3y=13.60 \ \ \ \ equation\ 1

Also Given:

Amount of regular gasoline bought today = 3 gallons

Amount of premium gasoline bought Today = 4 gallons

Total Cost of Today = $18.95

Now we know that Total Cost of Today is equal to sum of Amount of regular gasoline bought Today multiplied by Cost of Regular gasoline and Amount of Premium gasoline bought Today multiplied by Cost of premium gasoline.

Framing in equation form we get;

3x+4y=18.95 \ \ \ \ equation\ 2

Now Multiplying equation 1 by 3 we get;

2x+3y=13.60\\\\3(2x+3y)=13.60\times3\\\\6x+9y= 40.80 \ \ \ \ \ equation\ 3

Now Multiplying equation 2 by 2 we get;

3x+4y=18.95\\\\2(3x+4y)=18.95\times2\\\\6x+8y= 37.90 \ \ \ \ \ \ equation\ 4

Subtracting equation 4 from equation 3 we get;

(6x+9y)- (6x+8y)= 40.80-37.90\\\\6x+9y-6x-8y= 2.9\\\\y=\$2.90

Substituting the value of y in equation 1 we get;

2x+3y=13.60\\\\2x+3\times2.90 =13.60\\\\2x+8.7=13.6\\\\2x=13.6-8.7\\\\2x=4.9\\\\x=\frac{4.9}{2} =\$2.45

Hence Cost of 1 gallon of Regular gasoline is $2.45 and  Cost of 1 gallon of Premium gasoline is $2.90.

4 0
3 years ago
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