while if\(R^2 = 1,\) it means that the regression equation explains all of the variation in fare.
To determine what percentage of the total variation in fare is explained by the regression equation or distance, we can calculate the coefficient of determination, denoted by R^2.
\(R^2\) is defined as the proportion of the variance in the dependent variable (fare) that is explained by the independent variable (distance). It is given by:
\(R^2 = Explained variation / Total variation\)
where Explained variation = Sum of squares regression and Total variation = Sum of squares total.
In other words, \(R^2\) measures the goodness of fit of the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model.
To calculate\(R^2,\) we need to first calculate the sum of squares regression and the sum of squares total. Let's assume we have already obtained the regression equation and calculated the values of the dependent variable (fare) based on the independent variable (distance).
The sum of squares regression is given by:
\(SSR = ∑(ŷ - ȳ)^2\)
where ŷ is the predicted value of fare based on the regression equation, and ȳ is the mean of the actual values of fare.
The sum of squares total is given by:
\(SST = ∑(y - ȳ)^2\)
where y is the actual value of fare, and ȳ is the mean of the actual values of fare.
Once we have calculated SSR and SST, we can calculate \(R^2\) as:
\(R^2 = SSR / SST\)
This will give us the proportion of the total variation in fare that is explained by the regression equation or distance, expressed as a percentage.
Note that if\(R^2 = 0\), it means that the regression equation does not explain any of the variation in fare, while if\(R^2 = 1,\) it means that the regression equation explains all of the variation in fare.
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143 - 35
———————————
3 to the power of 3
what is the value of the expression
Answer: 4
Step-by-step explanation:
A right triangle has a rise of 16 and a run of 4. A similar right triangle with a run of 5 will have a rise of?
Answer:
It will have a rise of 20.
Step-by-step explanation:
We can use ratios:
Rise : Run = 16 : 4 = 4 : 1 = 20 : 5
Hope this helps!
PLSSS HELP ME I DONT HAVE MUCH TIME
Answer:
- 12 and - 187
Step-by-step explanation:
To evaluate f(- 7) substitute x = - 7 into f(x)
f(- 7) = 2(- 7) + 2 = - 14 + 2 = - 12
Similarly for g(- 4)
g(- 4) = 3(- 4)³ + 5 = 3(- 64) + 5 = - 192 + 5 = - 187
If p = 5 and q = 3 evaluate , 4p - pq
Answer:
5
Step-by-step explanation:
4p-pq=4.5-3.5=20-15=5
Answer:
4*5-5*3
20-15
5 ans.....
what is the value of ??????
Calculate minimum and maximum frequency for acoustic
and optic mode.
( short question (
The specific range depends on the material properties and the energy levels involved.
The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.
Acoustic Mode:
The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.
The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.
The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.
Optic Mode:
The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.
The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.
The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.
It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.
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Hellllppppp! Thx. Will give brainliest!!!
Answer:
C: p-5
Step-by-step explanation:
less than means the number goes behind whatever it is being subtracted from.
Q8) needs solving help
Pls help me thank you
The value of y is x/2 + c/5
Given,
In the question:
5x - 7y = 3y - 2c
To find the value of y.
Now, According to the question:
The equation is given as:
5x - 7y = 3y - 2c
Combine the like terms:
-7y - 3y = -5x - 2c
Calculate the sum or difference:
-10y = -5x - 2c
y = -5x/-10 - 2c/-10
Calculate the product or quotient :
y = x/2 + c/5
Hence, The value of y is x/2 + c/5
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Lily planted 8 zucchini plants and got 50 zucchinis. Next year she intends on planting 20 zucchini plants. How big will her harvest be?
Answer: 120 Zucchinis
Step-by-step explanation:
Help Please need answer in 10 minutes
Answer:
Answers
Step-by-step explanation:
Eric has 23 cookies, but she ate 19 cookies,
How many does eat cookies left.
(100 POINTS)
Answer: 23 - 19 = 4
Step-by-step explanation:
Answer:
how many does eat cookies left??? what
Step-by-step explanation:
anyway, it should be 4 cookies i guess?
23 - 19 = 4
...unless this is like a trick question with bad grammar
explain how to break apart the addends to find the sum of 25 16
Answer:
The sum of 25 and 16 is 41.
Step-by-step explanation:
The sum of two numbers, 25 and 16, you can break apart the addends and add them separately to simplify the process. Here's how you can do it:
Break apart the numbers into their place values: For 25, you have 20 and 5, and for 16, you have 10 and 6. This step helps you work with the place values individually.
Add the tens place: In this case, you have 20 (from 25) and 10 (from 16). Adding them gives you 30.
Add the ones place: Now you add the ones place, which is 5 (from 25) and 6 (from 16). Adding them gives you 11.
Combine the sum of the tens place and the sum of the ones place: Take the sum of 30 (from step 2) and 11 (from step 3). Adding them together gives you 41.
So, the sun is 41.
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PLEASE I NEED THIS TODAY!!!!
Answer:
1/64 c
Step-by-step explanation:
.
-PLEASE HELP-WILL MARK BRAINLIEST- :)
Bob walks 4 miles north then heads west until he gets to school. If the school is 7 miles from Bob’s house, how far west does Bob have to walk?
A, √33
B. √21
C. 3 Miles
Answer:
C
Step-by-step explanation: 7 -4 = 3 miles
plz tell me if its wrong so i can fix it i hope this helps
which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x 13y
The constants that we have to multiply to eliminate one variable from the system are 12 and 5.
The equations are
5x+13y = 232
12x + 7y = 218
Here we can cancel both x term and y terms, lets choose x terms and apply the elimination method
The coefficient of x in first equation is 5 and 12 in second equation
We have to make it same
Prime factorization
5 = 5×1
12 = 2×2×3
LCM (5, 12 ) = 2×2×3×5 = 60
Multiply the first equation by 12 and second equation by 5
60x + 156y = 2784
60x + 35y = 1090
Subtract equation 2 from equation 1
121y = 1694
Here we have eliminated x term
Hence, the constants that we have to multiply to eliminate one variable from the system are 12 and 5.
The complete question is:
Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232
12x + 7y = 218
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Foster is centering a photo that is 1 1/2 inches wide on a scrapbook page that is 14 inches wide. How far from each side of the page should he put the picture? Enter your answer as a mixed number.
Answer:
The answer would be 4 1/4 (4.25)
10-1.5=8.5/2=4.25
Hope this helps!
Can u please mark me as brainliest? I really need it!
Step-by-step explanation:
Which congruence rule is the triangle.
ex. SSS, SAS, ASA, etc
Answer:
SAS
Step-by-step explanation:
In the image 2 sides are given and 1 angles is given.
In the SAS (Side Angle Side) rule there must be two sides given and one angle.
Rex contracts with Spicy Pizza to deliver its products. After the deal has been partially performed, both parties inform each other that they would like to cancel the contract. Rex and Spicy may rescind Group of answer choices none of their contract. their entire contract. their contract to the extent that it is executory. their contract to the extent that it has been executed.
Rex and Spicy Pizza, after partially performing the contract, may rescind their entire contract or their contract to the extent that it is executory.
Rescission refers to the cancellation or termination of a contract. In this scenario, Rex and Spicy Pizza have both expressed their desire to cancel the contract after partially performing it. The parties have two options for rescinding the contract. First, they can rescind their entire contract, which means they nullify the entire agreement and both parties are released from their obligations. Alternatively, they can rescind the contract to the extent that it is executory, meaning they cancel the remaining unperformed obligations while preserving the rights and duties that have already been fulfilled. The specific choice between these options would depend on the mutual agreement and circumstances of the contract between Rex and Spicy Pizza.
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How to solve a proportion
The method to solve a proportion is given below.
We are given that;
A proportion
Now,
A proportion is an equation that shows that two ratios are equal. For example, if we have a ratio of 2:3 and another ratio of 4:6, we can write a proportion as 2/3 = 4/6. To solve a proportion, we can use cross-multiplication, which means multiplying the cross terms and setting them equal. For example, to solve for x in the proportion x/5 = 3/10, we can cross-multiply as follows:
x/5 = 3/10
x * 10 = 5 * 3
10x = 15
x = 15/10
x = 1.5
So, x = 1.5 is the solution of the proportion. We can check our answer by plugging it back into the original proportion and simplifying:
1.5/5 = 3/10
0.3 = 0.3
Therefore, by proportion answer will be given above.
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in the equation of y equals 2x - 4 what will be the value of y when x = 3
-1/10 dived by 1/8. please answer in fraction form
Answer:
-4/5
Step-by-step explanation:
I calculated it and the answer came directly
Answer:
\( -\dfrac{4}{5} \)
Step-by-step explanation:
\( -\dfrac{1}{10} \div \dfrac{1}{8} = \)
\( = -\dfrac{1}{10} \times \dfrac{8}{1} \)
\( = -\dfrac{1 \times 8}{10 \times 1} \)
\( = -\dfrac{8}{10} \)
\( = -\dfrac{4}{5} \)
What is the displacement of a car whose initial velocity is 5 m/s and then accelerated 2 m/s2 for 10 seconds
Which equation could be used to find x in AABC? *
A
10
320
B
Answer:
Step-by-step explanation:
x is the length of the side opposite the reference angle of 32, and 10 is the side length adjacent to the reference angle. This satisfies the tangent ratio where
\(tan32=\frac{x}{10}\) and solving for x:
x = 10tan32
Which trinomial is a perfect square trinomial?
(A) y2+6y+36
(B) y2+25y+200
(C) y2+18y+81
(D) y2+36y+60
Answer:
C
Step-by-step explanation:
think in general
(y + c)² = y² + 2cy + c²
only A and C have a square number as constant term (36 and 81).
and while it is possible to have any real number as c, but the 2cy part needs to fit to the c² part.
6y = 2cy
2c = 6
c = 3
but 3² is 9 and not 36. so, no fit.
25y = 2cy
2c = 25
c = 12.5
but 12.5² is 156.25 and not 200. so, no fit.
18y = 2cy
2c = 18
c = 9
and 9² is indeed 81. so, this fits.
36y = 2cy
2c = 36
c = 18
but 18² is 324 and not 60. so, no fit.
so, only C is a correct answer.
Express the following numbers in the Standard form 5x10-⁵
Step-by-step explanation:
5 × 10\( {}^{-5} \)
is in standard form or scientific notification. I have assumed that you meant what is 5 × 10\( {}^{-5} \)
as a number
so here it is :-
\(5 \times {10}^{-5} = \frac{5}{100000} \)
\( = 0.00005\)
the Standard form 5x10-⁵ is 0.00005.
Answer:
\(\bold{5*10^{-5}=\frac{5}{100000}=0.00005}\)
HELPPPPPPPP Write the standard form of an equation
Answer:
See the Answer Below:) I am certain this is the answer
Step-by-step explanation:
All other units of measure are defined and compared to the four basic measurements of: _____?
The four basic measurements that serve as the foundation for other units of measure are length, mass, time, and temperature.
Length is a measure of distance between two points, typically measured in meters (m) within the International System of Units (SI). Mass is the amount of matter in an object, measured in kilograms (kg) in the SI system. Time refers to the duration or interval between events and is measured in seconds (s) within the SI system.
Lastly, temperature is a measure of the average kinetic energy of particles in a substance, represented in degrees Celsius (°C) or Kelvin (K) in the SI system.
All other units of measure are defined and compared to these four basic measurements. For instance, speed is derived from the combination of length and time (e.g., meters per second). Similarly, force is derived from mass and acceleration, which itself is derived from the change in velocity over time (e.g., newtons).
The combination and comparison of these fundamental measurements enable scientists, engineers, and other professionals to quantify and analyze various phenomena in the physical world.
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someone help please
Steps to finding the line in the diagram with the format 'ax + by = c
1. Find the slope
To find the slope, we need any two points on the line --> (0,4) and (3,0)\(Slope = \frac{y2-y1}{x2-x1} =\frac{4-0}{0-3} =-\frac{4}{3}\)
2. Set up, with any one point on the line and the slope, in point-slope form
\((y-y0)=m(x-x0)\\(y-4)=-\frac{4}{3} (x-0)\\y-4 = -\frac{4}{3} x\\\frac{4}{3}x+y = 4\)
Answer: \(\frac{4}{3}x+y = 4\)
Hope that helps!
Answer:
\(\sf 4x+3y=12\)
Step-by-step explanation:
Choose two points on the line:
Let \(\sf (x_1,y_1)=(0,4)\)
Let \(\sf (x_2,y_2)=(3,0)\)
Use the slope formula to find the slope of the line:
\(\sf slope(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-4}{3-0}=-\dfrac43\)
Use the point-slope formula to find the equation of the line:
\(\sf y-y_1=m(x-x_1)\)
Substitute values into the formula:
\(\sf y-4=-\dfrac43(x-0)\)
Expand the brackets:
\(\sf y-4=-\dfrac43x\)
Add 4 to both sides:
\(\sf y=-\dfrac43x+4\)
Rearrange into the form \(ax+by=c\)
Multiply both sides by 3
\(\sf 3y=-4x+12\)
Add 4x to both sides:
\(\sf 4x+3y=12\)
Use Excel to solve this: You want to buy a car for $50,000 and you can put $10,000 as a down payment and borrow the remaining $40,000. The bank will make a bank loan at a 9% per year over 3 years and monthly payments. What is the monthly payment?
In this case, the monthly payment for the car loan would be approximately $1,299.13.
To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.
Here's how to do it:
1. Open Excel and create a new spreadsheet.
2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).
3. In cell A2, enter the annual interest rate: 9%.
4. In cell A3, enter the loan duration in years: 3.
5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).
6. The result in cell A4 will be the monthly payment.
So, in this case, the monthly payment for the car loan would be approximately $1,299.13.
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