A fundamental basis of regression analysis is the assumption of a. the lack of a relationship between independent variables. b. a curvilinear relationship between two weakly associated dependent variables. c. a uniform normal distribution between dependent variables. d. a straight-line relationship between the independent and dependent variables. e. the existence of two independent variables for every dependent variable.

Answer:

I think -1(20+16)= -1(36)= -36

Answer:

Step-by-step explanation:

-20 - 16

=> -36.

Unfortunately, there is no option of -36. Please include -36 in one of the options.

The value of the computer decreases by $800 per year.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).

Let y represent the cost of the computer and x represent the years after 2018.

A computer was purchased for $3200 in 2018. It is represented by the point (0, 3200). Also, in  2020 the computer was worth $2000, it is represented by the point (2, 2000). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3200=\frac{2000-3200}{2-0}(x-0)\\\\y-3200=-800x\\\\y=-800x+3200[/tex]

Therefore the value of the computer decreases by $800 per year.

Find out more at: https://brainly.com/question/13911928

A linear relationship will always decrease or increase at a constant and uniform rate.

Part 1

(a) The linear equation

In 2018, the value is $3200

In 2020, the value is $2000

Let the number of years since 2018 be x, and the value be y

So, we have the following representation

[tex]\mathbf{(x,y) = (0,3200) (2,2000)}[/tex]

Start by calculating the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{2000 - 3200}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{- 1200}{2}}[/tex]

Divide

[tex]\mathbf{m = - 600}[/tex]

The equation is then calculated as:

[tex]\mathbf{y = m(x -x_1) +y_1}[/tex]

So, we have:

[tex]\mathbf{y = -600(x -0) +3200}[/tex]

[tex]\mathbf{y = -600x +3200}[/tex]

Hence, the linear equation is [tex]\mathbf{y = -600x +3200}[/tex]

(b) The estimated value in 2022

In 2022, x = 4

So, we substitute 4 for x in the linear equation

[tex]\mathbf{y = -600x +3200}[/tex]

[tex]\mathbf{y = -600 \times 4 +3200}[/tex]

[tex]\mathbf{y = 800}[/tex]

Hence, the value in 2022 is $800

Part 2

The estimated value in 2024

In 2024, x = 6

So, we substitute 6 for x in the linear equation

[tex]\mathbf{y = -600x +3200}[/tex]

[tex]\mathbf{y = -600 \times 6 +3200}[/tex]

[tex]\mathbf{y = -400}[/tex]

Hence, the value in 2024 is -$400

This value does not make sense, because the value cannot be negative

Read more about linear equations at:

https://brainly.com/question/14323743

Answer: 0.3 units

Step-by-step explanation: The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.

Answer:

[tex]18x+32[/tex]

Step-by-step explanation:

Perimeter is the total distance around a shape and can be found by calculating the sum of a shape's sides.

In this case, we are given a parallelogram, a quadrilateral with two pairs of parallel sides. Thus, the formula for a parallelogram's perimeter is as follows:

[tex]P=2(a+b)[/tex]

Substitute the variables in the formula for the expressions on the parallel lines:

[tex]a=3x+6[/tex]

[tex]b=6x+10[/tex]

[tex]P=2(3x+6+6x+10)[/tex]

Distribute the 2 into each term:

[tex]P=6x+12+12x+20[/tex]

[tex]P=18x+32[/tex]

Answer:

Step-by-step explanation:

Perimeter = 3x + 6 + 6x + 10 + 6x + 10 + 3x + 6

= 18x + 32...ans

Answer:

y = -4x + 4

Step-by-step explanation:

slope formula: y = mx + b

b is always y intercept which is when the line crosses through the y axis while the x coordinate is at 0. that would make it 4. now we find another point which would be (-1,8)

use change in y/change in x

we already have 2 points

(0,4)

(-1,8)

change in x: -1

change in y: 4

4/-1

slope: -4

Answer:

my answer is 3:5

Step-by-step explanation:

sana makatulong yan

12*14=168

Hope this helps!

Answer:

The scale factor is 4/3 or 1.333...

Step-by-step explanation:

We're trying to find how can A go to B

Example: 16 --> 12

16 Divided by 12 = 4/3

[tex]\frac{16}{1}[/tex]÷[tex]\frac{12}{1} = \frac{16}{1} * \frac{1}{12} = \frac{16}{12} = \frac{4}{3}[/tex]

This will work with other numbers too.

Answer:

I think the error in Cynthia's answer is when she multiplied

Step-by-step explanation:

-2x(x^2 - 3) here

It should be = -2x^2 + 4x^2 - 2

Answer: B

Step-by-step explanation:

Brainiest please '

ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Answer:

D) (1,2)

Step-by-step explanation:

This is because point A is identified as (1,2), giving it's plotted point

Answer:

Student 1

Step-by-step explanation:

Student one attempts to divide both sides by -2, however only divides one term by -2, instead of all the terms

Answer:

|x|=6 we have x1=-6 x2=6

|x|=3.2 we have x1=-3.2 x2=3.2

|x|=0 x=0

Answer:

c. CBA = PQR

Step-by-step explanation:

Answer:

50km/h

Step-by-step explanation:

195km/3.9h

= 50km/h

Answer:

the answer is 50km/h

Step-by-step explanation:

Answer: 30

Step-by-step explanation:

Answer:

30 po brainliest answer po ty

Answer:

144

Step-by-step explanation:

(2*(3*5)+6)*4:

First, we simplify the 3*5.

(2*(15)+6)*4

Next, we multiply by 2.

(30+6)*4

We add the six now.

36*4

Finally, we multiply.

Answer:

2

Step-by-step explanation:

Since at x = 1, y = -3, and at x = 3, y = 1

the slope is 2 meaning the average rate of change is 2

Answer:

51

Step-by-step explanation:

357 ÷ 7 = 51 just divide

Answer:

51

Step-by-step explanation:

if we divide 357 by 7, we should have 51. meaning 357 chair divided in 7 rows, is 51 chairs per row.

Answer:

39

Step-by-step explanation:

4 x 2 = 8

8+ 31 is 39

Answer:

Refer to the attachment

Answer:

Write about like something that happened at school that involved you and others.

Step-by-step explanation:

Hope this helps!

Answer:1001

Step-by-step explanation:

Answer:

It is a proportional graph.

Step-by-step explanation:

By definition, a proportional graph is a graph which goes through the origin (O), in this picture the graph appears to indeed go through the origin, and is thus proportional.

Answer:

Using the Vertical Angle Theorem,

if two angles are vertical, then they are congruent

therefore, ∡4=∡5 and ∡6=∡7

since ∡4≅∡7

then ∡5 must also be ≅ to ∡6

Step-by-step explanation:

Step-by-step explanation:

Statement                                        Reason                        

∠4 ≅ ∠7                                           Given

∠4 and ∠5 are vertical angles        Vertical angles theorem

∠6 and ∠7 are vertical angles        Vertical angles theorem

∠4 ≅ ∠5 and ∠ 6≅ ∠7                     Definition of vertical angles

∠5 ≅ ∠6                                           Substitution property of equality