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2 years ago

The residual plot for a data set is shown.

Mathematics

1 answer:

UNO [17]2 years ago

3 0

The true statement about the residual plot is (a) The regression line is a good model because there is no pattern in the residuals.

<h3>How to interpret the residual plot?</h3>

For a residual plot to be considered a good model, the points on the plot must be at random and they must not follow a specific pattern

From the graph, we can see that the points are scattered

Hence, the true statement about the residual plot is (a)

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A rectangular prism has a winks of 8 inches and a width of 5 inches and a height of 2 inches what is the volume of the prism?

DaniilM [7]

Answer:

the answer is 80

Step-by-step explanation:

8x2x5=80

LxWxH

Also, I had this soooo

5 0

3 years ago

A circle of a certain radius has an area which is numerically 5 times the value of the circumference. What is the radius of the

patriot [66]

We have been given that a circle of a certain radius has an area which is numerically 5 times the value of the circumference. We are asked to find the radius of the circle.

We know that area of circle with a radius of r units is $\pi r^2$ .

We know that circumference of a circle is $2\pi r$ .

5 times the value of circumference would be $5(2\pi r)=10\pi r$ .

Now we will equate 5 times circumference with area as:

$\pi r^2 = 10\pi r$

Let us solve for r.

$\pi r\cdot r = 10\pi r$

$\frac{\pi r\cdot r}{\pi r}=\frac{10\pi r}{\pi r}$

$r=10$

Therefore, the radius of the circle would be 10 units.

5 0

3 years ago

The answer please. (F-g)(-3)

ad-work [718]

There are two ways to do this
Method 1:

Find (f-g)(x) first
(f-g)(x) = f(x) - g(x)
(f-g)(x) = (5x^2+3) - (-2x+4)
(f-g)(x) = 5x^2+3+2x-4
(f-g)(x) = 5x^2+2x-1

Then plug in x = -3
(f-g)(-3) = 5(-3)^2+2(-3)-1
(f-g)(-3) = 5(9)+2(-3)-1
(f-g)(-3) = 45-6-1
(f-g)(-3) = 39-1
(f-g)(-3) = 38

-----------------------------------------

Method 2:

Find f(-3)
f(x) = 5x^2+3
f(-3) = 5(-3)^2+3
f(-3) = 5(9)+3
f(-3) = 45+3
f(-3) = 48

Find g(-3)
g(x) = -2x+4
g(-3) = -2(-3)+4
g(-3) = 6+4
g(-3) = 10

Subtract the two results
(f-g)(-3) = f(-3) - g(-3)
(f-g)(-3) = 48 - 10
(f-g)(-3) = 38

-----------------------------------------

Whichever method you pick, the answer is: 38

4 0

3 years ago

What is the solution to this system of equations?

Rashid [163]

X=45
y=-8
check if this work

4 0

3 years ago

Help me with mathhh?!!!!???

DedPeter [7]

Answer:

x = 1 1/4

Step-by-step explanation:

sqrt( 7x+2) = sqrt(3x+7)

Square each side

(sqrt( 7x+2))^2 = (sqrt(3x+7))^2

7x+2 = 3x+7

Subtract 3x from each side

7x-3x +2 = 3x+7-3x

4x+2 = 7

Subtract 2 from each side

4x+2-2 = 7-2

4x = 5

Divide by 4

4x/4 = 5/4

x = 1 1/4

Check for extraneous solution

sqrt( 7*5/4+2) = sqrt(3*5/4+7)

sqrt( 35/4 + 8/4) = sqrt(15/4+28/4)

sqrt( 43/4) = sqrt(43/4)

Solution is valid

3 0

3 years ago