Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
Answers
The equation of the line of best fit is y = 1.7x - 58
How to determine the equation?We start by drawing the line of best fit (see attachment)
From the attached graph, we have the following points
(x, y) = (70, 75) and (61, 60)
The slope (m) is:
m = (y2 - y1)/(x2 - x1)
This gives
m = (60 - 75)/(61 - 70)
Evaluate
m = 1.7
The line of best fit is then calculated as:
y = m(x - x1) + y1
This gives
y = 1.7(x - 70) + 61
This gives
y = 1.7x - 119 + 61
Evaluate
y = 1.7x - 58
Hence, the equation of the line of best fit is y = 1.7x - 58
Read more about line of best fit at:
https://brainly.com/question/14279419
#SPJ1
Related Questions
A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 1200 sets are sold, what is the amount of money that will go to the school?
Answers
The amount of money that will go to the school is $ 3816.00
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The sale price of set of pens = $ 5.25
The cost price of set of pens = $ 1.80
The profit of pens = sale price of set of pens - cost price of set of pens
= $ 5.25 - $ 1.80
= $ 3.45
Now , the equation will be
Forty percentage of profit = ( 40 / 100 ) x $ 3.45
= $ 1.38
The amount that will go to the school =
Forty percentage of profit + cost price of set of pens
The amount that will go to the school for 1 set of pen = $ 1.38 + $ 1.80
= $ 3.18
The equation will be ,
Now , the total number of sets of pens sold = 1200
And , the total cost price of 1200 sets of pens =
cost price of set of pens x 1200
The total cost price of 1200 sets of pens = $ 1.80 x 1200
= $ 2160
The total profit of 1200 sets of pens = Forty percentage of profit x 1200
= $ 1.38 x 1200
= $ 1656
Therefore , the amount that will go to the school for 1200 sets of pens =
total cost price of 1200 sets of pens + total profit of 1200 sets of pens
The amount that will go to the school for 1200 sets of pens
= $ 2160 + $ 1656
The amount that will go to the school for 1200 sets of pens = $ 3816
Therefore ,
The amount that will go to the school = $ 3816.00
Hence , The amount of money that will go to the school is $ 3816.00
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ5
Find the area of a regular octagon with an apothem of 8.45 cm and a side length of 7 cm. (round to the nearest whole number) A) 59 cm2 B) 118 cm2 C) 237 cm2 D) 473 cm2
Answers
Answer:
237
Step-by-step explanation:
The area of the regular octagon is 237 cm^2
How to determine the area?The given parameters are:
Apothem (a) = 8.45
Side length (s) = 7
Number of sides (n) = 8
The area of the regular octagon is then calculated as:
A = 0.5 * a * n * s
This gives
A = 0.5 * 8.45 * 8 * 7
Evaluate the product
A = 236.6
Approximate
A = 237
Hence, the area of the regular octagon is 237 cm^2
Read more about octagon at:
https://brainly.com/question/1592456
don’t understand........
Answers
Answer:
120 cubic inches.
Step-by-step explanation:
The formula for volume is length times width times height. So if you take the length (10), and you take the width (3), and then you multiply them together you get 30. Now all you have to do it multiply that to the height (4) so you get 120. So your answer should be 120 cubic inches.
10 × 3 = 30
30 × 4 = 120
I hope this helps you and you understand now. Have a nice day! :D
Please answer this question with a complete answer
Answers
Answer:
true, false, true
Step-by-step explanation:
first one:
|-3.17|=3.17
-3.17 cannot be negative away, so it must be positive.
second one:
|7.29|=7.29
not equal to -7.29
third one:
no matter if it's negative or positive, you always use absolute value (||) to measure distances between number lines
brainliest plz
Find 6m if m = 5/13
6 5/13
5
2 4/12
5/78
Answers
6m= 6(5/13)
6m = 30/13
multiple choice geometry question helppp
Answers
COS = Adjacent / Hypotenuse
CosZ = 24/30
need help asap! will give brainliest<3
Answers
Answer:
(B)
Step-by-step explanation:
if c% of a number is (a+b) what is the number
Answers
Answer:(a+b)/c ×100
Step-by-step explanation:
Let the number be "x"
According to the question,
X×C% = a+b
>> X × C/100 = a+b
So, x =(a+b)/c × 100
HELPPP 40 POINTSS......
Answers
Answer:
the answer is 4
Step-by-step explanation:
Answer: The answer to question 3 is 6. The answer to question 4 is 4.
Step-by-step explanation: In question 3, if you plug in 6, that gives us 12+5. 12+5 is 17. In question 4, you can turn the words into an equation like this: 2n + 3 = 11. Plug in 4 and that gets you to 8 + 3. 8+3 is 11.
There are 150 adults and 255 children at a zoo. The zoo makes a total of $4,500 from the entrance fees, and the cost of an adult and a child to attend is $23. how much does it cost each for a parent and a child? Let a represent an adult. Letc represent a child. Enter a system of equations to represent the situation, then solve the system. The system of equations is and The adult tickets cost $ and the child tickets cost $
Answers
Answer:
y+x=31, 150x+225y=5100.
y=-x+31
150x+225(-x+31)=5100
-75x=-1875
x=25 (adult tickets are $25)
31-25= 6 (child tickets are $6)Step-by-step explanation:
Answer:
Parent: $25
Child: $6
Step-by-step Explanation:
y+x=31, 150x+225y=5100
y=-x+31
150x+225(-x+31)=5100
-75x=-1875
x=25 (adult tickets are $25)
31-25= 6 (child tickets are $6)
I hope this helped :D
Which describes how to calculate the range of this data set?
4, 5, 6, 8, 11, 12
A.) Subtract 11-5.
B.) Subtract 12-5.
C.) Add 11+5.
D.) Add 12+4.
Answers
Answer:
D.) Add 12+4
Step-by-step explanation:
I took the test on Edge 2021.
Classify the real numbers as rational or irrational numbers.
Answers
Answer:
omg I'm working on this one too and I cant figure it out did you ever get the answer I can t find it anywhere and I'm not sure what it is all I have is 400 is rational
Step-by-step explanation:
Rational numbers
-5/250
[tex]\sqrt{400}[/tex]
irrational numbers
5.01212121212....
[tex]\sqrt{1,000}[/tex]
[tex]\sqrt[3]{30}[/tex]
0.01562138411....
Step-by-step explanation:
sorry i answered late
A player kicks a soccer ball resting on the ground. The height of the ball, h(t) in feet, after t seconds can be represented by the function h(t) = -16+2 +96t.
Use this information to answer the two questions that follow.
Part A: What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again?
seconds
Part B: When will the ball reach its maximum height?
After seconds
Answers
Answer:
Part A: 6
Part B: 3
Step-by-step explanation:
trust me.
Answer:
6 seconds
After 3 seconds
Step-by-step explanation:
h(t) =-16t^2+96t
a=-16
b=96
c=0
96/2(-6) =3
Max = 3
(0,)
(6,0)
ht/t = 16t^2+96/t
how to factor this expression
x^3 - 4x^2 + 4x - 16
Answers
(x² + 4) (x - 4)
First find the common terms that can enter into both x³ and 4x² then write its down in this case it’s x² that can enter x³ leaving only x _since x³/x² = subtract of the indices. x² will also enter 4x² leaving only four hence you having x² (x - 4)
then do the same for the next pair of terms giving you 4 that can enter into both 4 and 16
Leaving you with +4 (x - 4)
Now you can put the common terms together like so (x² + 4) and choose get one of the other two which are the same= (x - 4)
= (x² + 4) (x - 4)
Answer the photo below thanks
Answers
Answer:
D.
Step-by-step explanation:
3/6 = 30/60
Answer:
The answer is D
Step-by-step explanation:
3/6 = 30/60
If you divide the top and bottom of 30/60 by 10 you get 3/6
Hope that helps
A woman rides a bicycle for 1 hour and travels 12 kilometers. Find the angular velocity of the wheel if the radius
is 33 centimeters.
rad/min
Answers
14.81 radians/second
Step-by-step explanation:
1) Today's temperature will be at least 55°, but not more than 65º. Write and graph an inequality to show this situation.
Answers
Answer:
[tex]55 \leqslant x < 65 [/tex]
An archaeologist used string to make a grid over an area
where she was digging. She discovered a bowl buried at
(1,4) and a tool at (3, 10) on her grid. She suspected that an
item was buried at the midpoint of the segment connecting
the bowl and the tool. At which position on her grid should
the archaeologist dig to look for the buried item?
Answers
Answer:
option a c d are correct
Step-by-step explanation:
Since, the item was burried at the midpoint of the segment joining bowl and the tool. Archaeologist should dig at the midpoint which is at (2, 7).
Mid-point of a segment joining two points: If two points (a, b) and (c, d) are joined by a line segemnt, coordinates of the midpoint will be,Mid-point = [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
Given points representing a bowl and a tool are (1, 4) and (3, 10).
Since, an item is burried at the midpoint of the segment joining bowl and tool,
Use the expression for the position of the mid-point of the segment.
Position of the item → [tex](\frac{1+3}{2},\frac{4+10}{2})[/tex]
→ (2, 7)
Hence, position of the burried item will be at (2, 7).
Learn more to get the center of a segment joining two points here,
https://brainly.com/question/10677252?referrer=searchResults
what is 10% of $10
Pls i need help
Answers
Answer:
1 dollar
Step-by-step explanation:
1 dollar is one tenth of a dollar ie 10%
Answer:
the answer is $1.
Step-by-step explanation:
- convert 10% into decimal form, which is 0.10
- then multiply 0.10 to 10
- that would equal to 0.10x10=1
Is the following triangle congruent by SAS, ASA, or SSS? Why?
Answers
Answer:
ASA
Step-by-step explanation:
As it is shown
m<A = m<Z
m<Y = m<C and
|YZ| = |AC| so the triangles are congruent by ASA
Jaime has lunch at a restaurant and needs to determine how
much tip to leave based on his bill. If his bill was $14.41 and
Jaime wants to leave a 20% tip, what is a reasonable estimate
for how much he should leave?
Answers
Answer:
2.88
Step-by-step explanation:
45x^4 + 72x^3 is factored form
Answers
Answer: 9 x 3 ( 5 x + 8 )
Step-by-step explanation:
Factor 9 x 3 out of 45 x 4 + 72x 3 .
which even number is a prime number
Answers
Answer:
2
Step-by-step explanation:
The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.
Answer:
Answer is 2
Step-by-step explanation:
The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.
I hope it's helpful!
2horas 3 minutos 47 s as
Answers
Answer: I dont understand.
Step-by-step explanation:
What is the difference?
Answers
Answer:
I WAS WRONG PICK D
Step-by-step explanation:
I'm an idiot
Quincy has box of cereal to eat over 6 days. If he splits the box into equal portions, how much will he eat each day?
Answers
Answer:
1/6 of the cereal box
Step-by-step explanation:
could someone pleaseee help me :)
Answers
Answer:
1st one
Step-by-step explanation:
Answer:
a = 24
a = 150
a = 66
Step-by-step explanation:
your welcome
Write a proportion for brainliest
Answers
Answer:
B) [tex]\frac{WV}{VY} =\frac{VX}{XY}[/tex]
Step-by-step explanation:
The triangle VXY and triangle VWY are similar because they are both right triangles. Option B shows the correct proportions based off of this. Line WV is similar to line VX and line VY is similar to line XY.
I hope it helps and is correct!
Num projeto, o desenho de um jardim tem a forma de um triângulo retângulo onde a hipotenusa mede 4,5 cm. A escala utilizada foi de 1:200. Qual é o comprimento real desse lado do jardim (hipotenusa)? Apresenta a resposta em metros.
Answers
Answer:
9 metros
Step-by-step explanation:
Da pergunta acima
Fator de escala =
Medida correspondente: Representação do objeto
= 1: 200cm
Conseqüentemente:
1 cm = 200 cm
4,5 cm = x cm
x cm = 4,5 × 200 cm
x cm = 900 cm
O comprimento real deste lado do triângulo (hipotenusa) = 900cm
Pediram-nos para converter para metros
100cm = 1 m
900cm = xm
Multiplicação cruzada
100 cm × xm = 900 cm × 1 m
xm = 900 cm × 1 m / 100cm
xm = 9m
O comprimento real deste lado do triângulo (hipotenusa) em metros = 9 metros
Prove: 12. Given: BC || EF, ZBEFE ZDCG Prove: AB 11 DC 11. Given: m BCD + m.ZBEF= 180°, AB || DC Prove: BC || EF B C 5. F E
Answers
Answer:1. Given: mx1 = 101°, m.25 = 101°. Prove:/ || n . 1. 11. given. <1=1019. (5=101. 2. <1 2 <5 ... 2. Given: 48 = 22. Prove:1 ||n. 1. <. 8722. Il given. J. Ext. 87. 2. elin. 12. alt.int ks form / ... Prove: BC || EF. - ll lines. 1. <BCD + <BEF=180' 11. Diven. ABII DC. 2. ... 6. Given: BC || EF, ZBEFE ZDCG lunes a. Prove: AB || DC. 1. B C ll EF.
Step-by-step explanation: