find the equation of Best fit for the data in the table​

Find The Equation Of Best Fit For The Data In The Table

Answers

Answer 1

Answer:

The equation of the line is [tex]y = 2\cdot x + 3[/tex].

Step-by-step explanation:

The data of the table represents a line, also known as a linear function or a first order polynomial if and only if the following property is satisfied:

[tex]\frac{y_{i+1}-y_{i}}{x_{i+1}-x_{i}} = m, m \in \mathbb{R}[/tex] (1)

Now we proceed to check if the table represents a line instead of another kind of function:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{7-5}{2-1} = 2[/tex]

[tex]\frac{y_{3}-y_{2}}{x_{3}-x_{2}} = \frac{9-7}{3-2} = 2[/tex]

[tex]\frac{y_{4}-y_{3}}{x_{4}-x_{3}} = \frac{13-9}{5-3} = 2[/tex]

[tex]\frac{y_{5}-y_{4}}{x_{5}-x_{4}} = \frac{15-13}{6-5} = 2[/tex]

Hence, the data represents a line. From Geometry we know that the equation of the line can be obtained by knowing two distinct points. The formula of the line is described below:

[tex]y = m\cdot x + b[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]m[/tex] - Slope.

[tex]b[/tex] - y-Intercept.

If we know that [tex](x_{1}, y_{1}) = (1, 5)[/tex] and [tex](x_{2}, y_{2}) = (6, 15)[/tex], then we have the following system of linear equations:

[tex]m + b = 5[/tex] (1)

[tex]6\cdot m + b = 15[/tex] (2)

The solution of the system of linear equations is: [tex]m = 2[/tex], [tex]b = 3[/tex].

The equation of the line is [tex]y = 2\cdot x + 3[/tex].


Related Questions

What is the least common denominator of the rational expressions below?
12
x2 - 11x +30
43
x² - 6x
A. x(x-5)
B. x(x-5)(x-6)
C. x(x - 5)(x-6)
D. (X-6)

Answers

Answer:

D. (x-6)

Step-by-step explanation: Just did it

using appropriate properties find the value of 3/5×(-3)/10+1/15-3/5×1/5​ please help me out​

Answers

3/5×(-3)/10 + 1/15 - 3/5×1/5 =  -7/30 ≅  -0.2333333

I hope this helps!

According to the histogram, which interval of time do most students spend on the Internet?

0 - 30 minutes
31 - 60 minutes
61 - 90 minutes
91 - 120 minutes

Answers

Answer:

91 - 120 minutes

Step-by-step explanation:

In a histogram, the bar highest suggests the most common, so most students spend 91 - 120 minutes in this histogram.

the histogram shows the result of survey asking students how many windows are in their homes how mnay studengs have less than 10 windows. I will mark Brainly help

Answers

Answer:

4 students

Step-by-step explanation:

Although I am not sure if I am completely correct. I’ll try my best.

We know:

The numbers 0-12 on the frequency table is the number of windows.

The numbers on the bottom is the amount of students.

-

What we can see:

As we can see..

the 0-4 section in the table shows that only 0-4 students have 9 windows. The 5-9 sections shows that only 5-9 students have 10 windows.The 10-14 sections shows that 10-14 students have 0 windows.The 15-19 sections shows that 15-19 students have 4 windows.The 20-24 sections shows that 20-24 students have 2 windows.

-

Calculations:

Since the number of students that have the amount of windows less than 10 is 4 (0-4 section) and 0 (10-14 section)

Add.

4+0

= 4

Therefore, 4 students have less than 10 windows.

CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.

Answers

Answer:

six and one over twelve

Step-by-step explanation:

1/4 + 5 5/6=1/4+35/6 = 6 1/12

step 1: 5×6+5 6 step 2: 30+5 6

step 3 35

6

step 4 answer = 35

6

find the value of x and y​

Answers

X=58

58-14= 44
44+58= 102
180-102= 78
78/2=39

Y=39

Answer:

x = 58

y = 39

Step-by-step explanation:

x = 58 (Vertically opposite angles)

x + 2y + (x-14) = 180 (Angles in a straight line)

=> x + 2y + x - 14 = 180

=> 2x + 2y = 180 + 14

=> 2(58) + 2y = 194

=> 116 + 2y = 194

=> 2y = 194 - 116

=> 2y = 78

=> y = 78/2

=> y = 39

The weights of dogs in a dog show is normally distributed with a mean of 58 pounds and a standard deviation of 15 pounds. What is the probability that the weight of the dogs are between 35.5 and 65.5 pounds?​

Answers

Given:

The weights of dogs in a dog show is normally distributed.

Mean = 58 pounds

Standard deviation = 15

To find:

The probability that the weight of the dogs are between 35.5 and 65.5 pounds.

Solution:

We know that,

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

Where, [tex]\mu[/tex] is mean and [tex]\sigma [/tex] is the standard deviation.

We need to find the value of [tex]P(35.5<x<65.5)[/tex].

[tex]P(35.5<x<65.5)=P\left(\dfrac{35.5-58}{15}<\dfrac{x-58}{15}<\dfrac{65.5-58}{15}\right)[/tex]

[tex]P(35.5<x<65.5)=P\left(-1.5<z<0.5\right)[/tex]

[tex]P(35.5<x<65.5)=P\left(z<0.5\right)-P\left(z<-1.5\right)[/tex]

Level of significance is 95%.

[tex]P(35.5<x<65.5)=0.69146-0.066807[/tex]

[tex]P(35.5<x<65.5)=0.624653[/tex]

[tex]P(35.5<x<65.5)\approx 0.6247[/tex]

Therefore, the probability that the weight of the dogs are between 35.5 and 65.5 pounds is about 0.6247.


Consider the graph. Which inequality best represents the graph?

Answers

Answer:

y >= x/2 - 1

Step-by-step explanation:

the slope (rise/run) is 1/2 and the y-intercept is -1 so in point-slope form

y = x/2 - 1 but everything above the line (unshaded part) is valid so y is equal to or greater than.

help please asap!!!Working too please not just the answers​

Answers

Answer:

62

Step-by-step explanation:

12+12+3+3+7+10+15

you just add all the sides

Write an equation for the following parabola. A. (x+5)^2+5 B. (x-3)^2+4 C. (x-5)^2+4 D. (x+3)^2+5 Please select the best answer from the choices provided

Answers

Answer:B

Step-by-step explanation:

A(3;4) in the parabola.

The answer B: y=(x-3)^2 +4.

y=yA=4; x=xA= 3

=> 4=(3-3)^2+4 (right)

What is the answer to 12 radius circle

Answers

Answer:

The answer is 113.10 ft²

Step-by-step explanation:

The square feet which is the area of a 12 ft circle is 113.10. If there is a option for that

Answer:

113.04 ft^2

Step-by-step explanation:

use formule A = πr^2

Find the value of x in the given
right triangle.
12
x = [?]

X
62°
Enter your answer as a decimal rounded to the
nearest tenth.

Answers

Answer:

You divide 62/12=5.166

Parrel lines and angles how do I do this one

Answers

Answer:

Step-by-step explanation:

if two lines are parallel and a transversal cuts it,then corresponding angles are equal.

?=130°(corresponding angles)

Harriet and Maya share £300 in the ratio of 7:5. Wirk out how much money harriet gets

Answers

Answer:

$175

Step-by-step explanation:

you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.

They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25

Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.

Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.

Peter's favorite lunch is a turkey sandwich with carrot sticks. Last week, he bought 1.68 pounds of turkey and split it evenly among 7 sandwiches. How much turkey did Peter use for each sandwich?

Answers

11.7. answer: i just did it

Area of base=
A)8 square units
B)6 square units
C)12 square units

Answers

Answer:

its 8

Step-by-step explanation:

4 times 2 is 8 and you cant get 6 or 12

Answer:

A

Step-by-step explanation:

Area of base = length x width = 4 * 2 = 8 square units

Determine whether each of the following problems
will have a rational or an irrational answer. Your
answer should be either the word "rational or
"irrational."
18 + 1

Answers

Answer:

irrational

Step-by-step explanation:

pi itself is irrational, so adding something to it makes no difference

Answer: Irrational

Step-by-step explanation:  The sum of two rational numbers is  

✔ always  rational.

The sum of a rational number and an irrational number is  

✔ never  rational.

The product of a rational number and an irrational number is  

✔ always  irrational.

The product of two rational numbers is  

✔ never  irrational.

Determine whether each of the following problems will have a rational or an irrational answer. Your answer should be either the word “rational” or “irrational.”

18+pi = irrational

A repeating decimal + A fraction   =rational

3/13 x sqrt 52 =irrational

what is the answer to 11/5 divided by 2/5

Answers

Answer:

The Correct Answer is [tex]\frac{11}{2}[/tex]    (11/2)

Decimals Form: 5.5

Answer:

5 1/2 or 5.5

Step-by-step explanation:

11/5 ÷ 2/5

11/5 × 5/2 = 11/2 = 5 1/2

Ignacio and Kirsten want to find out if the triangle formed by connecting (-1,-1). (-3,2), and (2, 1) is a right triangle Ignacio's plan: . Use the distance formula to find the lengths of the sides. • Then see if the side lengths satisfy the equation a2 + b2 = c2 to see if it is a right triangle Kirsten's plan: • Find the slopes of the three sides. • See if any two slopes are negative reciprocals of each other Which student's plan will work?​

Answers

Answer:

Both plans are correct

Step-by-step explanation:

I already did it

What are the values of x in the equation x2 - 6x + y =
A)x= -2 or x = 8
B)x= -1 or x = -11
C)x= 1 or x = 11
D)x = 2 or x = -8

Answers

The correct answer is A

a rule in quadratic equ states that

if summation of the roots should be -b/a of the equa

comparing the equ x² - 6x + y=0

with. ax² + bx +c =0

we see that in the equ, a= 1, b=-6

so the sum of the roots is -(-6)/1= +6

looking the the option the only one that agreed is option A

-2 + 8= 6

there fore the values of x are -2 or 8

Please help!! Thank you if you do!!

Answers

I think it is BD but I’m not 100% sure

Someone PLEASE HELP ME. The diagram above shows a plan for a park.
ABCD is a rectangle.
APB and DQC are semicircles centred at X and Y.
Given AB = 7 cm and AC = 25 cm.
Calculate the perimeter of the park in cm.

Answers

Answer:

84 m

Step-by-step explanation:

Perimeter of the park = perimeter of rectangle + perimeter of 2 semicircles

62

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 66m wide. What is the length of a training track running around the field? (Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.)

Answers

Answer:

401.24m

Step-by-step explanation:

the length is,

97x2 + 66x3.14

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Answers

Answer:

The car price decreased by $2,268.

The price of the car now is $33,732.

Step-by-step explanation:

Multiply 0.063 (6.3% in decimal form) by $36,000 to get $2,268, which is how much the price decreased.

Then subtract 2,268 from 36,000 to get $33,73, which is the price of the car after the decrease.

Answer:

Step-by-step explanation:

6.3 : 100 = x : 36000

x = (36000 * 6.3)/100 = $2268 (decrease in price)

Price of new model: 36000 - 2268 = $33732

can you help answer these:

1) (-3 ) * ( + 3 ) = ___

2) ( - 3) * ( - 3)= ______

3) ( + 20 ) ( + 5) = ____

4) ( + 21 ) ( - 3 ) )= ___

5) (-2) * (+3) * (- 4) = ___

Answers

Answer:

1) -3 x 3=-9

2) -3x-3=9

3)20x5=100

4) 21x-3=-63

5) -2x3x-4=24

note: negative x positive= negative

negative x negative=positive

positive x positive= positive

Step-by-step explanation:

hope this is helpful

Step-by-step explanation:

(-3)*(1+3) = -9 (-3)*(-3) = 9(+20)(+5) =100(+21)(-3) = -63(-2)*(+3)*(-4) = 24

Find the area of triangle.

Answers

Answer:

16cm2

Step-by-step explanation:

(1/2) × 8 ×4=16cm2

the answer is 16 cm squared

Answer:

The area is 16 cm^2

Why? Below I explain.

Step-by-step explanation:

In that triangle, there are 2 sides, so you need to use this formula:

B * H / 2

Using those values:

4 * 8 / 2 is equal to 16.

The root for an equation x²-px+6=0 ls 3. Find the value of p
Jawapan / Anne
IP​

Answers

Answer:

5

Step-by-step explanation:

Given that 3 is a root of the equation x²-px+6=0

To find the value of p, substitute 3 into the equation for x

Hence x²-px+6=0

becomes

3^2 - 3p + 6 = 0

9 -3p + 6 = 0

collect like terms

-3p = -9 - 6

-3p = -15

Divide both sides by -3

p = -15/-3

p = 5

Find two integers whose sum is -10 and product is 16
TWO INTERGES PLEASE

Answers

Answer:

-2 and -8

Step-by-step explanation:

-2 + (-8) = -10

-2 * -8 = 16


2x + z = 46
3z= 18
2y + z= 40

Answers

Answer:

x=20, y=17, and z=6 or (20,17,6)

Step-by-step explanation:

Hi there!

We're given the system of equations:

2x+z=46

3z=18

2y+z=40

and we need to solve for x, y, and z

first, let's find the value of z, as we have z by itself (no other variables) in 3z=18

divide both sides by z

z=6

the value of z is found :)

now we can use z=6 to find the value of the other variables; for example, plug z as 6 into 2x+z=46 to solve for x

2x+6=46

subtract 6 from both sides

2x=40

divide by 2

x=20

Finally, let's find y

once again, we can substitute z as 6 in the equation 2y+z=40 to find y

2y+6=40

subtract 6 from both sides

2y=34

divide by 2

y=17

so the answer is: x=20, y=17, and z=6; if you need it in a point it's (20,17,6)

Hope this helps! :)

The scale on a map reads 3⁄4 inches = 60 miles. If two cities are 2 1⁄2 inches apart on the map, find the actual distance between the cities.

Answers

200 miles. 2.5 divided by 3/4 is 3.33333-, multiplying the given by 60 would give us 199.98, which you can round to 200.
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