Given:
Two points that are close to the line of best fit are (2,70) and (4.5, 90).
To find:
Th equation of best fit line using the given two points.
Solution:
We know that, if a line passes through the two points, then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Two points (2,70) and (4.5, 90) are close to the best fit line.
Consider the two points (2,70) and (4.5, 90). So, the equation of line is
[tex]y-70=\dfrac{90-70}{4.5-2}(x-2)[/tex]
[tex]y-70=\dfrac{20}{2.5}(x-2)[/tex]
[tex]y-70=8(x-2)[/tex]
[tex]y-70=8x-16[/tex]
Adding 70 on both sides, we get
[tex]y=8x-16+70[/tex]
[tex]y=8x+54[/tex]
Therefore, the equation of best fit line is [tex]y=8x+54[/tex].
What is the equation of the line perpendicular to the line shown in the diagram that passes through the point (- 3, - 5) ?
Answer:
A X + 3y = 18
Step-by-step explanation:
A school carnival sold 18 early-admission tickets and 57 regular tickets. What percentage of the tickets sold were early-admission tickets
Answer:
60%
Step-by-step explanation:
57 / 95× 100 = 50%
Please Leave an Excellent Rating and a THANKS
Answer:
Step-by-step explanation:
Add the two tickets together to get a whole.
18+57 = 75
Divide 18/75
≈0.24
multiply by 100
you get 24%
Please answer this correctly without making mistakes
Answer:
The first coupon with $550 off
Step-by-step explanation:
773.50-550= 223.5 (first coupon)
773.50×(100%-70%)=232.05(second coupon)
232.05>223.5
first one will save more money
Essential Question 7th Grade
How can proportional reasoning help solve a problem?
Answer:
Proportional reasoning compares ratios to answer questions. We can use proportional reasoning to solve some questions directly, such as which size of laundry detergent is the cheapest per load, or what the dimensions of the model car should be.
Step-by-step explanation:
I got it off of the internet
Can someone help me with these questions?
what is 0.08 1/10 of
Answer:
0.8
0.08 x 10 = 0.8
Answer:
0.8 I think.
Step-by-step explanation:
0.8×10 I hop tho helps
inverse of functions
What is this expression in words ?
Answer :
five x plus ten
Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.
Answer:
28x−6
Step-by-step explanation:
Okay 2 sides of equal lenght so
2(6x-4)+2(8x+1)=
12x-8+16x+2
28x-6
i feel like this should be easy but idk. This needs to be in order from greatest to least. I know that R is 63, but the options are
RS, ST, RT,
RT, ST, RS
RS, RT, ST
ST, RT, RS
i don’t understand why they are like “ST” instead of a single angle? I really need an explanation for this, i have a quiz tomorrow thank you
Answer:
RS,RT,ST
Step-by-step explanation:
63+60=123 , 63+57=120 ,60+57=117
PLSSSSS HELPPPPPPP ASAPPPPPP!!!! I WILLL GIVE BRAINLIEST!!!! PLSSSSS HELPPPPPPP ASAPPPPPP!!!! I WILLL GIVE BRAINLIEST!!!!
Answer:
(4, -1)
Step-by-step explanation:
If you plug in 4 and -1 to both of the functions, they will both "work". They output the correct number and are equal.
Answer:
The first option (4, -1)
Step-by-step explanation:
Solve each of the following equations by first using the distributive property to rewrite one or both of the two sides of the equation.
(A) 2(5t+9)=36-7(t-2)+t
(B) 47+s=8(s+2)-s+13
Answer:
A) t = 2
B) s = 3
Step-by-step explanation:
(A) 2(5t+9)=36-7(t-2)+t
Expand 2(5t + 9) using distributive law(B) 47+s=8(s+2)-s+13
8(s+2) = 8s + 16RHS becomes 8s + 16 - s + 13What is the average speed in miles per hour if a driver has traveled 8 miles in 10 minutes?
Answer:
48 MPH
Step-by-step explanation:
10 mins times 6= 60 mins which is an hour
8 miles times 6= 48 miles
This means the average is 48 MPH
Find A if B=30.6°, b=7.42 in, and c=4.45
Write the exponential form of "(5)^-2 = 1/25" in logarithmic form *
The required logarithm form is -2log5
Given the exponential form of an equation expressed as;
[tex](5)^{-2} = 1/25[/tex]
For us to change the exponential form into logarithmic equation, first we need to identify the base, move it to the other side of the expression and then take the logarithm
Take the logarithm of both sides
[tex]= log(5)^{-2} \\=-2log5\\[/tex]
Hence the required logarithm form is -2log5
Learn more on logarithm here: https://brainly.com/question/17622052
the bag of letter tiles include 15 vowels and 25 consonants. What is the probability of selecting two vowels one after another NEED HELP ASAP
Answer: 0.1346
Step-by-step explanation:
Number of vowels = 5 vowels
Number of consonants = 25
For us to calculate the probability of selecting two vowels one after another, we have to select the first vowels which will give a probability of 5/40, then we select the second vowel which will be 4/24 since there'll be 4 vowels left 39 alpahabets.
Therefore, probability of selecting two vowels one after another will be:
= 15/40 × 14/39
= 3/8 × 14/39
= 0.1346
NEED HELP ASAP! Will give brainliest!
(Do not just take points or I will report you.)
Sam and Bryan meet at the gym. Sam travels 6 miles farther to the gym than Bryan. Three times the distance Bryan travels is 12
miles. If x represents the distance traveled by Bryan to the gym, which statements are true when determining the distance traveled
by each?
A) 3x =12
B) X+6 =10
C) Sam travels 3 miles,
D) Sam travels 10 miles.
E) Bryan travels 13 miles.
Answer:A B and D
Step-by-step explanation:
USA TEST PREP.
Solve for x. Round to the nearest tenth.
Answer: 36.2
Step-by-step explanation:
30^2+15^2=1314
square root of 1314 is equal to 36.249
rounded to nearest tenth: 36.2
La suma de dos números es 84. Tres veces el número menor excede el
número mayor por 60. Halla los números.
Separa las respuestas con una!
ms.brown can make a floral arrangement in half an hour. How many can she make in 7 and a half and hour [ direct variations ]
The green shape is a dilation of the black shape. Is it an enlargement or a reduction?
A chemist wants to mix a 10% acid solution with a 26% acid solution to obtain 16 liters of a 14% acid solution. How much of the 26% solution should she use?
Answer:
The 26% solution should she use is explained below in detailed explanation.
Step-by-step explanation:
Assumed there be 10 percent of x liters of acid solution
Assumed there be 26 percent of y liters of acid solution
provided Information
A chemist needed to combine a 10 percent acid solution with a 26 percent acid solution to obtain 16 liters of a 14 percent acid solution
So, ( 10 / 100 )*x + ( 26 / 100 )*y = ( 14 / 100 )*16
=> 0.1*x + 0.26*y = 0.14*16
=> 0.1*x + 0.26*y = 2.24 ....................... eq 1
x + y = 16 ......................... eq 2
Multiply ( 0.1 ) in both side in eq 2
=> 0.1*x + 0.1*y = 0.1*16
=> 0.1*x + 0.1*y = 1.6 ......................... eq 3
Subtract eq 3 from eq 1
0.1*x - 0.1*x + 0.26*y - 0.1*y = 2.24 - 1.6
=> 0.16*y = 0.64
=> x = 0.64 / 0.16
=> y = 4
So, 4 liters of 26% solution she should utilized
The rectangular coordinate system shows the graph of the equations in a system of equations. Use the graph to determine the number of solutions for the system. If the system has only one solution, give its coordinates.
Answer:
There are an infinite number of solutions.
Step-by-step explanation:
Solve for x and y. Round to the nearest tenth.
Find the derivation of the following functions with they corresponding variables
Answer:
d(f(t))/dt = –56/(t^8) – (5/6)/t^(7/6) + 12t^3 – 2t + (1/3)t^(2/3))
Step-by-step explanation:
To find the derivative of f(t), we have to find the derivative of each component of the function to make it easier.
d(8/(t^7))/dt = d(8xt^-7)/dt = –7 x 8 x t^-8 = –56t^-8 = -56/(t^8)
d(5/(t^(1/6)))/dt = –(1/6) x 5 x t^(-7/6) = –(5/6)/t^(7/6)
d(3t^4)/dt = 4 x 3 x t^3 = 12t^3
d(t²)/dt = 2t
d(t^⅓)/dt = ⅓t^(-2/3) = (1/3)t^(2/3))
d(12)/dt = 0.
Therefore,
d(f(t))/dt = –56/(t^8) – (5/6)/t^(7/6) + 12t^3 – 2t + (1/3)t^(2/3))
On Wednesday the farmers at the Clay Farm picked 4 1/5 barrels of tomatoes. Thursday, the farmers picked 2 3/4 times as many tomatoes as on Wednesday. How many barrels of tomatoes did the farmers pick on Thursday?
Answer:
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In the property of equality what would the equation 3x+5=14?
The properties of equality used to solve the equation 3x+5=14 are subtraction and division.
What are the properties of equality?The properties of equality, which can be used to solve any equation, include:
AdditionSubtractionDivisionMultiplication.However, we can determine if the solution to the equation and the properties are correct by substituting the variable's value into the equation using the substitution property of equality.
Data and Calculations:Check:
Given that 3x+5 = 14
3x = 14 - 5 Subtraction
3x = 9
x = 3 (9/3) Division
Thus, in equation 3x+5=14, the properties of equality that would solve it are subtraction and division.
Learn more about the properties of equality at https://brainly.com/question/28293087
#SPJ1
Complete Question:Which property of equality would be used to solve the equation 3x+5=14?
write an equation of the line that is parallel to the line whose equation is 4y+9=2x and passes through the point (7,2)
Drag expressions to complete each equation.
[tex] {a}^{b} \times {a}^{c} = {a}^{(b + c)} [/tex]
[tex] \frac{ {a}^{b} }{ {a}^{c} } = {a}^{(b - c)} [/tex]
[tex] {a}^{c} \times {b}^{c} = {ab}^{c} [/tex]
Evaluate. Write your answer as a fraction in simplest form.
Answer:
[tex]\frac{27}{64}[/tex]
Step-by-step explanation:
[tex]\left( \frac{3}{4}^3 \right) = \frac{3^3}{4^3} = \frac{3\cdot 3\cdot 3}{4 \cdot 4 \cdot 4} = \frac{27}{64}[/tex]