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uysha [10]
3 years ago
7

The scatterplot shows the time it takes for a new hot plate to boil various amounts of water, and one lab group’s attempt at a l

ine of best fit. What feedback should another lab group give during a peer review of the work? The line of best fit is reasonable because it does not go through any points. The line of best fit is reasonable because it goes through the largest cluster of points. The line of best fit is not reasonable because it does not go through any points. The line of best fit is not reasonable because it has more points below it than above it.
Mathematics
2 answers:
spin [16.1K]3 years ago
6 0

Answer:

Option d

Step-by-step explanation:

Alinara [238K]3 years ago
3 0

Answer:

The correct option is;

The line of best fit is not reasonable because it has more points below it than above it.

Step-by-step explanation:

Here we note that there are a total of seven points in the scatter plot and there are five of the points below the line of best fit and just two above the line.

Of the five points below the line of best fit, four are just about touching the underside of the line while one of the two points above the line is just about touching the line.

The proper positioning of the line can be reviewed, therefore, with a line drawn through the four points presently touching the underside of the line of best fit.

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Write the equation of the circle whose center is (-4,8) and has a diameter of 18
svetoff [14.1K]

Answer:

(x + 4)^2 + (y - 8)^2 = 81

or

(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.

Step-by-step explanation:

The standard form for a circle is

(x + h)^2 + (y + k)^2 = r^2

r is the radius.

You are given the diameter

r = d/2

r = 18/2

r = 9

So you already have the right hand side of the equation

(x + h)^2 + (y + k)^2 = 9*2

(x + h)^2 + (y + k)^2 = 81

You basically have h and k as well. They come from the center point.

h = 4

k = - 8

So the equation of the circle (and the answer) is

(x + 4)^2 + (y - 8)^2 = 81

One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.

It is the distance formula that is actually the formula for the circle.

6 0
2 years ago
Which expression is the same as 10÷4?
Alex777 [14]
The answer would be D because when you divide 10 by 4 you take one fourth out of ten
4 0
3 years ago
Read 2 more answers
Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c
natali 33 [55]

Answer:  By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are (\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)

Coordinate of E are  (\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)

By the distance formula,

DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}

AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}

By the slope formula,

Slope of AC = \frac{4-8}{8-6} = \frac{-4}{2} = -2

Slope of DE =  \frac{3-5}{5-4} = \frac{-2}{1} = -2


            Statement                                              Reason

1. The coordinate of D are (4,5)  and           1. By the midpoint formula

the coordinate of  E are (5,3)

2. The length of DE = √5                            2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the                3. By the slope formula

slope of AC = -2

4. DE║AC                                                   4. Slopes of parallel lines are equal


7 0
3 years ago
Read 2 more answers
Find the surface area of the prism 3m 4m 8m 5m
Rashid [163]

Answer:

3 x 4 = 12, 12 divided by 2 ) x 1/2) = 6, 6 x 2 = 12(area of two triangles)

8 x 4 = 32

8 x 3 = 24

8 x 5 = 40

Let's add all the given areas:

12 + 32 + 24 + 40 = 108 m^2 is your answer.

4 0
2 years ago
Read 2 more answers
In a positive correlation, __________. A. the independent variable is always negative B. an increase in the independent variable
lyudmila [28]
The answer would be, "B".
8 0
3 years ago
Read 2 more answers
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