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mash [69]
3 years ago
11

What is the equation of linear regression that fits the data​

Mathematics
1 answer:
alexdok [17]3 years ago
3 0

Answer:

Option D

Step-by-step explanation:

From the table attached,

Ordered pairs to be plotted → (1, 472.08), (2, 454.26), (3, 444.95), (4, 439.49), (5, 436.55)

By using linear regression calculator,

Equation of the regression line → y = -8.583x + 475.215

Option D will be the answer.

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Which of these is a point-slope equation of the line that is perpendicular to y-25 = 2(x - 10) and passes through (-3, 7)?
nydimaria [60]

Answer:

B. y-7 = 1/2(x+3)

Step-by-step explanation:

The coordinates in the question must be inverted (so -3 would become +3 and +7 would become -7)

We know that the line would be perpendicular when (x+3) is preceded by -2

You can double check this by going to a website that graphs equations and overlapping the lines.

5 0
3 years ago
A solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing
stepan [7]

Answer:

Step-by-step explanation:

Given that a solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing 9% alcohol.

Let x gallons of 12% alcohol be mixed with y gallons of 4% alcohol.

Total gallons= x+y = 20

Alcohol content in the total mixture = 0.12x+0.04y =9% of x+y

0.12x+0.4y=0.09(20)\\12x+4y = 180

b) Two equations are

x+y = 20\\12x+4y = 180

c) This is of the form Ax = B

where A =\left[\begin{array}{ccc}1&1\\12&4\end{array}\right]

Inverse is \frac{1}{4-12} \left[\begin{array}{ccc}4&-1\\-12&12\end{array}\right]\\=\frac{-1}{8} \left[\begin{array}{ccc}4&-1\\-12&12\end{array}\right]\\

Solution set is A inverse *B

= x \    12.5\\y  \     7.5

7 0
3 years ago
Two cars are driving toward each other from opposite directions. If one is driving 55 mph, the other is driving 60 mph and the c
Korvikt [17]
Set 500 to sum of distances traveled by both cars.
55t + 60t = 500  \\ 115t = 500  \\ t = (500/115) = 4.3
4 0
3 years ago
Complete the statement with equal to, greater than, or less than.
enyata [817]
2 x 2/9 Will Be Less Than 2
5 0
3 years ago
Evaluate expressions-What should go in the blank spot
gladu [14]

Answer:

10

Step-by-step explanation:

0.08 {x}^{3}

0.08( {5)}^{2}

0.08 \times 125

10

<h3>Hope it is helpful...</h3>
4 0
3 years ago
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