ok i have a chart that i have to right the line of best fit for and I don't know how to do that please help
Answers
You are looking for a line of the form
\(y=a+Bx\)such that a,B minimize the distance between the given points and the line.
For that
\(B=\frac{\sum ^n_{k=1}(x_ky_k-\bar{y}x_k)}{\sum ^n_{k=1}(x^2_{^{}k}-\bar{x}x_k)}\)and
\(a=\bar{y}-\bar{Bx}\)Now we just have to apply the formula
after we apply it we get that
ŷ = 1.50473 x + 12.90922
Related Questions
david has d books, which is 3 times as many as jeff and i as many as paula. how many books do the three of them have altogether, in terms of d?
Answers
David, Jeff, and Paula have (7d)/3 books.
To find out how many books David, Jeff, and Paula have altogether in terms of d, we can use the given information as follows:
1. David has d books.
2. David has 3 times as many books as Jeff, so Jeff has d/3 books.
3. David has the same number of books as Paula, so Paula also has d books.
Now, to find the total number of books for all three of them, we simply add the number of books each person has:
Total books = David's books + Jeff's books + Paula's books
Total books = d + d/3 + d
To combine these terms, we can find a common denominator (in this case, 3):
Total books = (3d + d + 3d) / 3
Now, we can simplify the expression:
Total books = (7d) / 3
So, altogether, David, Jeff, and Paula have (7d)/3 books in terms of d.
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Wich is the correct ratio representation of the books to pens?
Answers
Answer:
6/5
Step-by-step explanation:
There is 6 books and there is 5 pens, ans since it is books to pens you put the number of books on top and the number of pens on the bottom.
find the missing information to fill in the blanks. diagrams are not drawn to scale. do numbers 6 & 8. don’t take forever when answering both of those questions. all i care about is the steps and the answer.
Answers
6)
\(\begin{gathered} \angle MOL=2\angle MKL\text{ (angle at centre is twice angle at circumference)} \\ 146=2(37x-1) \\ 146=74x-2 \\ 146+2=74x \\ 148=74x \\ x=\frac{148}{74} \\ x=2 \end{gathered}\)\(\begin{gathered} To\text{ get m}\angle MKL,\text{ we have:} \\ \angle MKL=37x-1 \\ \angle MKL=37(2)-1 \\ \angle MKL=74-1 \\ \angle MKL=73^0 \end{gathered}\)Hence, the value of x=2, and the measure of angle MKL is 73 degrees
8)
\(\begin{gathered} m\angle BDC=90^0(angle\text{ in a semi- circle)} \\ m\angle BAC=90^0(angle\text{ in a semi-circle)} \\ 3y+11+y+7+90=180^0(sum\text{ of interior angles in a triangle)} \\ 4y+108=180 \\ 4y=72 \\ y=\frac{72}{4} \\ y=18^0 \end{gathered}\)\(\begin{gathered} 5x+3x+10+90=180^0(sum\text{ of interior angles in a triangle)} \\ 8x+100=180 \\ 8x=180-100 \\ 8x=80 \\ x=\frac{80}{8} \\ x=10^0 \end{gathered}\)Hence,
\(\begin{gathered} i)\text{ m}\angle BDC=90^0 \\ ii)\text{ m}\angle DCB=5x=5\times10=50^0 \\ iii)\text{ m}\angle DBC=3x+10=3(10)+10=30+10=40^0 \\ iv)\text{ m}\angle BCA=3y+11=3(18)+11=54+11=65^0 \end{gathered}\)
Which expressions have the same solution as –4(6)? Select three options..
–4(– 6)
4(– 6)
6(– 4)
–8(2)
12(– 2)
Answers
6(-4)
12(-2)
here you go!
Answer:
Step-by-step explanation:
-4 * 6 = -24
Others that have same solutions are:
4*(-6) = -24
6*(-4) = -24
12*(-2) = -24
Define the dummy random variable which takes on the value 1 when the number on first dice is either 1,2 or 3 and takes on the value 0 otherwise. Define a second dummy random variable which takes on the value 1 when the number on the second dice is either 3, 4, 5 or 6 and takes on the value of 0 otherwise. and are independent. True or false
Answers
True, the joint probability of Y1 and Y2 taking on the value 1 simultaneously is 1/3.
The first dummy random variable is defined as follows:
Let X be the random variable representing the number on the first dice. Then, the dummy random variable Y1 is defined as:
Y1 = 1 if X is either 1, 2, or 3
Y1 = 0 otherwise
Similarly, the second dummy random variable is defined as:
Let Z be the random variable representing the number on the second dice. Then, the dummy random variable Y2 is defined as:
Y2 = 1 if Z is either 3, 4, 5, or 6
Y2 = 0 otherwise
Since Y1 and Y2 are independent, their joint probability distribution can be computed by multiplying their marginal probabilities.
P(Y1=1, Y2=1) = P(Y1=1) * P(Y2=1)
To compute P(Y1=1), we need to find the probability that X is either 1, 2, or 3. Since each face of a fair dice has an equal probability of appearing, we have:
P(X=1) = P(X=2) = P(X=3) = 1/6
Therefore,
P(Y1=1) = P(X=1 or X=2 or X=3) = P(X=1) + P(X=2) + P(X=3) = 3/6 = 1/2
Similarly, to compute P(Y2=1), we need to find the probability that Z is either 3, 4, 5, or 6. Again, since each face of a fair dice has an equal probability of appearing, we have:
P(Z=3) = P(Z=4) = P(Z=5) = P(Z=6) = 1/6
Therefore,
P(Y2=1) = P(Z=3 or Z=4 or Z=5 or Z=6) = P(Z=3) + P(Z=4) + P(Z=5) + P(Z=6) = 4/6 = 2/3
Thus,
P(Y1=1, Y2=1) = P(Y1=1) * P(Y2=1) = (1/2) * (2/3) = 1/3
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which graph represents the line that has intercepts at (5,0) and (0,-4)?
Answers
Answer:
H.
Step-by-step explanation:
The graph goes through 5 of the x -axis and -4 on the y axis
Answer:
graph H. represent the line that has intercepts at (5,0) and (0,-4)
What is the slope-intercept form of the line represented in the table shown?
X Y
-2 14
-1 12
0 10
1 8
2 6
3 4
Step 1: Find the y-intercept:
Step 2: Choose any two points from the table to find the slope:
Step 3: Use the newly-found slope to write the slope-intercept equation. The form
for that is y = mx + b.
Step 4: Check your work. Choose an ordered pair from the table and substitute
into the newly-found equation
Answers
Answer: The slope-intercept form is y = -2x + 10
Step-by-step explanation:
Step 1: The y-intercept is the point where x=0, so that is (0,10)
Step 2: Use the points (-2,14) and (-1,12) to find the slope
Slope (m) = ΔY/ΔX = -2/1 = -2
Step 3: The slope-intercept form is:
y = mx+b
y = (step 2 value) x + (step 1 value)
y = -2x+10
Please remember to vote this as Brainliest if I earned it!
liner equations please help with answer!
Answers
Answer:
n = - \(\frac{4}{7}\)
Step-by-step explanation:
Given
\(\frac{2}{3}\) (1 + n) = - \(\frac{1}{2}\) n
Multiply both sides by 6 ( the LCM of 3 and 2 ) to clear the fractions
4(1 + n) = - 3n ← distribute left side
4 + 4n = - 3n ( add 3n to both sides )
4 + 7n = 0 ( subtract 4 from both sides )
7n = - 4 ( divide both sides by 7 )
n = - \(\frac{4}{7}\)
Describe the following change as both an absolute change in terms of Percentage Points, and as a relative change in terms of a percentage.
The annual interest rate for Jack's savings account increased from 2.3% to 2.8%.
Answers
Answer:
0.5%
Step-by-step explanation:
1/4×≤−3
For the following equation, find a solution for the variable.
:)
Answers
Answer:
x <= -12
..............
PLEASE HELP ME QUICK PLEASE!
Answers
I think the answer is option 4
What are the solutions of the equation (x−13)2=400?
x=±20
x=±7
x=±33
x=−7 and x=33
Answers
Answer:
x = −7 and x = 33Step-by-step explanation:
\((x-13)^2=400\\\\ (x-13)^2=(\pm20)^2\\\\x-13=20\quad\vee\quad x-13=-20\\\\x=33\qquad\vee\qquad x=-7\)
3 1Evaluate the expression. 8 2+ 3.8 – 10 x 2
Answers
Answer: 65.8
Step-by-step explanation:
First multiply 10 x 2=20
then you add 82 and 3.8 which is 85.8
then you subtract 20 from 85.8 and you get 65.8
If g(x) = x^2 + 4x - 7 , find g(-6)
Answers
Step-by-step explanation:
Given
g(x) = x² + 4x - 7
g(-6)= ( - 6)² + 4 * ( -6) - 7
= 36 - 24 - 7
= 5
Hope it will help :)❤
Three drums contain respectively 36 liters, 45 liters, 72 liters of oil. Find the capacity of the largest container which can measure the contents of each drum an exact number of times
Answers
the capacity of the largest container that can measure the contents of each drum an exact number of times is 36 liters.
To find the capacity of the largest container that can measure the contents of each drum an exact number of times, we need to determine the greatest common divisor (GCD) of the volumes of the drums.
The GCD is the largest positive integer that divides each of the given numbers without leaving a remainder. In this case, we want to find the GCD of 36, 45, and 72.
First, let's find the prime factorizations of these numbers:
36 = 2^2 * 3^2,
45 = 3^2 * 5,
72 = 2^3 * 3^2.
To find the GCD, we take the product of the common prime factors raised to the lowest powers they appear in the factorizations:
GCD(36, 45, 72) = 2^2 * 3^2 = 4 * 9 = 36.
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This shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches. You can use 3. 14 as an approximation for π
Answers
If the shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches then, the perimeter of the shape is 91.4 inches.
To find the perimeter of the shape, we need to know the length of the curved boundary (the circumference of the half-circle) and the length of the straight boundary (the perimeter of the equilateral triangle).
The radius of the half-circle is half the length of the side of the equilateral triangle, which is 10 inches. Therefore, the circumference of the half-circle is:
C = πr = π(10) = 31.4 inches.
The perimeter of the equilateral triangle is 3 times the length of one side, which is 20 inches. Therefore, the perimeter of the triangle is:
P = 3s = 3(20) = 60 inches
Finally, the perimeter of the entire shape is the sum of the lengths of the curved and straight boundaries:
Perimeter = C + P = 31.4 + 60 = 91.4 inches.
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Complete Question
This shape is made up of one half-circle attached to a square with side lengths 11 inches. Find the perimeter of the shape.
You can use 3.14 as an approximation for π. help i don't know it.
a sum of money Doubles itself in 5 years what is rate of simple interest
Answers
Step-by-step explanationIf you are reading this say
thank u
Your school band needs to buy new percussion equipment. The equipment will cost $2000. You have collected $800 in donations and previous fundraisers. If you sell sandwiches at $4 each, how many sandwiches will you need to raise the remaining funds?
Answers
Answer:
300 sandwiches
Step-by-step explanation:
set it up as an equation
2000=800 + 4x
1200=4x
300=x
so you would need to sell 300 sammiches
Dr Khan wants to know how college students in her state will vote during the next election. By sampling the seniors at her college, she can get a representative sample. Question 15 options: True False
Answers
The correct option is False. Sampling only seniors at Dr. Khan's college may not provide a representative sample of how all college students in her state will vote during the next election.
The sample may not capture the diversity and demographics of college students in the entire state. To obtain a more representative sample.
It would be necessary to consider a broader range of colleges and universities and potentially include students from various backgrounds and institutions within the state.
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I need help bad on this problem I don’t understand it at all I just need help
Answers
Answer:
Step-by-step explanation:
90+35=exterior angle(sum of two interior opposite angle is equal to the exterior angle formed)
125=exterior angle
Answer:
125
Step-by-step explanation:
all the angles inside the triangle should add to 180:
so 180 - 35 - 90 = 55
then since it asked for exterior it should be:
180 - 55 = 125
because it on a straight line and a straight line is 180 it becomes:
125
I can help with more too
For a distribution that is skewed right the median is.
Answers
If the distribution is skewed to the right, then mean > median
This is where the tail is pulled to the right due to large outliers. Those outliers pull on the mean.
Which statement regarding these four states is true? the state with the lowest population has the greatest population density. the state with the second lowest population has the lowest population density. the state with the lowest population has the lowest population density. the state with the second greatest population has the lowest population density.
Answers
State B with the second-lowest population has the lowest population density. Then the correct option is B.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
The second-lowest density for the states will be given as
\(\rm D_A = \dfrac{1055173}{2677} = 394.16\)
\(\rm D_B = \dfrac{1333089}{36418} = 36.61\)
\(\rm D_C = \dfrac{3596677}{5543} = 648.87\)
\(\rm D_D = \dfrac{6745408}{10555} = 639.07\)
Thus, state B with the second-lowest population has the lowest population density. Then the correct option is B.
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Please help, question in photo
Answers
Answer:
B
Step-by-step explanation:
A=1/2*(10+20)*5
=1/2*30*5
=75m*2
The value of x for the system is 1. What is the value of y?*
1 point
3x + y = 9
y = -4x + 10
1. Substitute the value of y in the first equation:
2. Combine like terms:
3. Apply the subtraction property of equality:
4. Apply the division property of equality:
3x + (-4x + 10) = 9
-x+ 10 = 9
-X = -1
x = 1
O y = 14
O y = 12
O y = 6
O y=3
When loesolved
system lisin
bstitution bet7
TA
Answers
Joe can weed the garden twice as fast as his sister Janet. Together they can weed the garden in 2 hours. How long would it take each of them working alone?
A:\(\frac{1}{x}\)
Answers
Answer:
Joe: 3 hrs
Janet: 6hrs
Step-by-step explanation:
joe takes x hours
so in 1 hr he does 1/x of the garden
janet takes 2x hours
so in 1 hr she does 1/(2x) of the garden
In one hour together they do 1/2 of the garden
1/x + 1/(2x) = 1/2
2/(2x) + 1/(2x) = 1/2
3/(2x) = 1/2
Cross multiply
6 = 2x
x = 3
Joe: 3 hrs
Janet: 6hrs
a basket contains oranges, apples, and pears. the ratio of oranges to apples is 3:8 and the ratio of oranges to pears is 3:4. What is the ratio of oranges to the total number of fruits in the basket?
Answers
Answer: 3:15
Step-by-step explanation: you add up all the fruits which is 3,8,4. You put the 3 first because that’s what’s first. If it says to something first then you do it.
ASAP HELpppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
5
This is essentially the third identical question that you posted with the same
type of solution ... if you look at the previous question you asked and the explanation.. you will see that the red line crosses a corner of a box at (4,20)
4 cups = 20 pralines thus the number you are looking for is 20/4 = 5
Step-by-step explanation:
lets try this "story" to explain...
assume that you can walk 3 miles in 1 hour
this means that at 0 hr you go 0 miles , 1 hr you go 3 miles etc
0,0
1,3
2,6
3,9
etc.
if you graph that you will have the red line in you graph, and the x values would be 0,1,2,3 with the y values being 0,3,6,9....
if you DIVIDE any of those points
3/1 ,6/2, 9,3 the result is always a "3" that is the speed that you are walking at
it is a CONSTANT (in this problem) ... note: if the speed is NOT constant then this basically becomes a calculus problem, ant an algebra one.
Tavon has a $50 gift card that’s very loses $2 for each 30-day period it is not used. He has a $40 card that’s loses $1.50 for each 30-day period it is not used.
Answers
which recursive formula can be used to represent the sequence 2,5,8,11,14,..
a. a1=2 an-1=an+3
b. a1=0 an=an-1+3
c. a1=2 an=an-1-3
d. a1=2 an=an-1+3
Answers
The recursive formula that is used to represent the sequence 2,5,8,11,14,... is a(n)=a(n-1)+3.
SequenceA sequence is an ordered set of numbers that frequently maintain a pattern.
How to find a recursive formula that is used to represent the given sequence?The given sequence is 2,5,8,11,14,..
The first term is 2.
So, a(1)=2
The common difference is (5-2), that is 3.
So, the recursive formula is a(n)=a(n-1)+3
Therefore, the recursive formula that is used to represent the sequence 2,5,8,11,14,... is a(n)=a(n-1)+3.
Thus, the correct option is (d)
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At a football stadium, 4% of the fans in attendance were teenagers. If there were 170 teenagers at the football stadium, what was the total number of people at the stadium?
Answers
Answer:
4,250
Step-by-step explanation:
If 4% of all fans were teenagers, and 100 divided by 4 is 25, simply math of 170 times 25 gives you 4,250
Therefore, the answer is 4,250
Answer:
Total number of people = 4,250
Step-by-step explanation:
4% of 4,250 = 170