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3 years ago

(20 Points) Which line is a linear model for the data? [Image Below]

Mathematics

2 answers:

Fynjy0 [20]3 years ago

8 0

It is D. The best answer

Gnoma [55]3 years ago

7 0

Hello!!

Let's look at each one individually:

Upper left:
There's points very far to the left of the line. This is not a good answer.

Bottom left:
Many of the pints are quite faraway to the right of the line. This is also not a good answer.

Upper right:
Besides for the two points on the line, all of the other points are to the right of the line. This is definitely not a very good option.

Bottom right:
There are an even number of points to either side of the line. This is the best linear model for the data.

Hope this helps!! Let me know if you have ANY questions.

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If a party hat has a radius of 3 inches, what is the area of the circular base?

Slav-nsk [51]

Answer:

$A=9\pi\ in^2$

Step-by-step explanation:

<u>Area of a Circle</u>

A circle is a geometric shape where all the points on its circumference are at the same distance to a fixed point called center. The radius is the distance from the center to any point of the circumference.

The relation of the length of the circumference to the radius is an irrational number called pi ( $\pi\approx 3.141592$ ).

Another interesting relation in a circle is the area it occupies in a 2D space. Being r the radius of the circle, the area is computed by the formula

$A=\pi r^2$

The party hat has a radius of r= 3 inches. The area of the circular base is computed as follows

$A=\pi\cdot 3^2$

$\boxed{A=9\pi\ in^2}$

7 0

3 years ago

Read 2 more answers

Which statement is true about the graphs of the two lines y = –6 and x = ?

UNO [17]

Answer: C

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

PLEASE HELP IM SO STUCK

mihalych1998 [28]

Answer:

Slope = 7/4

Step-by-step explanation:

You are given coordinate values and a formula that tells you what to do with them. All you need to do is put the values in the formula and do the arithmetic.

<h3>Points</h3>

You are given points (2, -3) and (6, 4). The slope formula refers to the two points as (x1, y1) and (x2, y2). It does not matter which is which.

If we use the points in the same order they are given, then we can see that ...

x1 = 2
y1 = -3
x2 = 6
y2 = 4

<h3>Formula</h3>

Using these values in the given formula, we find the slope to be ...

$m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-(-3)}{6-2}=\dfrac{7}{4}$

The slope of the line through the given points is 7/4.

4 0

2 years ago

A rectangle has a length of (x+10) centimeters and a width of x centimeters. If the perimeter is 32 centimeters, what is the len

I am Lyosha [343]

Given:

Length of rectangle = (x+10) cm

Width of the rectangle = x cm

Perimeter = 32 cm

To find:

The length of the rectangle.

Solution:

We know that,

$Perimeter=2(l+w)$

Where, l is length and w is width.

Substituting the values, we get

$32=2((x+10)+x)$

$32=2(2x+10)$

$32=4x+20$

Subtract 20 from both sides.

$32-20=4x$

$12=4x$

Divide both sides by

$3=x$

So, the length is

$3+10=13$

Therefore, the length of the rectangle is 13 cm.

7 0

3 years ago

Let v be an eigenvector of a matrix A with a corresponding eigenvalue ?=2. Find one solution x of the system Ax=v.

Murljashka [212]

Answer with explanation:

For, a Matrix A , having eigenvector 'v' has eigenvalue =2

The order of matrix is not given.

It has one eigenvalue it means it is of order , 1×1.

→A=[a]

Determinant [a-k I]=0, where k is eigenvalue of the given matrix.

It is given that,

k=2

For, k=2, the matrix [a-2 I] will become singular,that is

→ Determinant |a-2 I|=0

→I=[1]

→a=2

Let , v be the corresponding eigenvector of the given eigenvalue.

→[a-I] v=0

→[2-1] v=[0]

→[v]=[0]

→v=0

Now, corresponding eigenvector(v), when eigenvalue is 2 =0

We have to find solution of the system

→Ax=v

→[2] x=0

→[2 x] =[0]

→x=0, is one solution of the system.

5 0

3 years ago