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Amanda [17]
2 years ago
8

Shanti wrote the predicted values for a data set using the line of best fit y = 2.55x – 3.15. She computed two of the residual v

alues. What are the values of a and b? a = 0.4 and b = –0.15 a = –0.4 and b = 0.15 a = 8.6 and b = 14.25 a = –8.6 and b = –14.25
Mathematics
2 answers:
charle [14.2K]2 years ago
5 0

Your answer would be (B)... I just got done doing the test!!!!!!!!!!!!!

svet-max [94.6K]2 years ago
4 0
<span>Residual value is the difference between the observed value of the dependent variable (y) and the predicted value (ŷ) in a data set.

i.e. Residual value = given value - predicted value

From the table, the residual value corresponding to a has 4.1 as the given value and 4.5 as the predicted value.
Therefore, a = 4.1 - 4.5 = -0.4

Similarly, </span><span>the residual value corresponding to b has 7.2 as the given value and 7.05 as the predicted value.
Therefore, b = 7.2 - 7.05 = 0.15
</span>
Therefore, a = -0.4 and b = 0.15
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Chiko bought 75 shares of stock at $19.58 per share. He received dividends of $73.42 during the year. At the end of the year, hi
shtirl [24]

Answer: 1,468.5

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the price of each share of stock ($19.58) by the number of shares of stock bought (75 ).

Mathematically speaking:

Price per share x number of shares = 19.58 x 75 = $1,468.5  

His purchase price was 1,468.5

Feel free to ask for more if needed or if you did not understand something.  

3 0
2 years ago
Which of these equations have no solution? Check all that apply. 2(x + 2) + 2 = 2(x + 3) + 1 2x + 3(x + 5) = 5(x – 3) 4(x + 3) =
o-na [289]

Answer:

  • 2(x + 2) + 2 = 2(x + 3) + 1
  • 2x + 3(x + 5) = 5(x – 3)
  • 5(x + 4) – x = 4(x + 5) – 1

Step-by-step explanation:

It can be easier to see the answer if you subtract the right side of the equation from both sides, then simplify.

1. 2(x + 2) + 2 = 2(x + 3) + 1

  2(x + 2) + 2 - (2(x + 3) + 1) = 0

  2x +4 +2 -2x -6 -1 = 0

  -1 = 0 . . . . no solution

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2. 2x + 3(x + 5) = 5(x – 3)

  2x + 3(x + 5) - 5(x – 3) = 0

  2x +3x +15 -5x +15 = 0

  30 = 0 . . . . no solution

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3. 4(x + 3) = x + 12

  4(x + 3) - (x + 12) = 0

  4x +12 -x -12 = 0

  3x = 0 . . . . one solution, x=0

__

4. 4 – (2x + 5) = (–4x – 2)

  4 – (2x + 5) - (–4x – 2) = 0

  4 -2x -5 +4x +2 = 0

  2x +1 = 0 . . . . one solution, x=-1/2

__

5. 5(x + 4) – x = 4(x + 5) – 1

  5(x + 4) – x - (4(x + 5) – 1) = 0

  5x +20 -x -4x -20 +1 = 0

  1 = 0 . . . . no solution

3 0
2 years ago
Read 2 more answers
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18pi meters. Wh
ella [17]

Answer

Circumference(C) of a circle is given by:

C = 2\pi r

where r is the radius and value of \pi = 3.14

As per the given statement:

A building engineer analyzes a concrete column with a circular cross section.

The circumference of the column is 18 \pi meters.

then;

18 \pi= 2\pi r

Divide both sides by 2 \pi we have;

9 = r

or

r = 9 meters

We have to find the area of the cross section of the column

Area of a circle is given by:

A = \pi r^2

then;

A = \pi \cdot 9^2 = 81 \pi meter square.

therefore, the area A of the cross section of the column is 81 \pi meter square.

3 0
2 years ago
Read 2 more answers
A scuba diver used the expression below to describe his position in relation to sea level.2 + (negative 20) + 8Which statement c
Sloan [31]

Answer:

Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.

Step-by-step explanation:

Using the 2 + (-20) + 8 to describe movement relative to sea level ;

2 can be taken as the starting point, positive values represents elevation above sea level ;

2 can be taken as 2 feet platform above sea level ;

- 20 represents distance dived from platform, negative signifies elevation below sea level ; the distance dived relative to sea level is (-20 + platform height)

(-20 + 2) = - 18

8 feets means a final elevation of 8 above sea level (positive value).

7 0
2 years ago
Which expression represents the distance between 4.7 and −11.2 on the number line? Drag and drop the correct expression into the
Lana71 [14]

Answer:

<h2>15.9</h2>

Step-by-step explanation:

\text{The formula of a distance between two points on a number line:}\\\\d=|a-b|\\\\\text{for}\ a\geq b:\ d=a-b\\=========================\\\\\text{We have}\ 4.7\ \text{and}\ -11.2.\ \text{Substitute:}\\\\d=4.7-(-11.2)=4.7+11.2=15.9

5 0
2 years ago
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