Answers
The equation for the line of best fit is: C. y = 0.894x + 0.535.
How to determine the equation for the line of best fit?In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;
x y x² y² xy__
5 4 25 16 20
6 6 36 36 36
9 9 81 81 81
10 11 100 121 110
14 12 196 144 168
Sum 438 398 415
Next, we would calculate the mean of the x and y variables as follows;
Mean = [∑(x)]/n
Mean = 44/5
Mean, [tex]\bar{x}[/tex] = 8.8
Mean = [∑(y)]/n
Mean = 42/5
Mean, [tex]\bar{y}[/tex] = 8.4
∑(x - [tex]\bar{x}[/tex])(x - [tex]\bar{y}[/tex]) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)
∑(x - [tex]\bar{x}[/tex])(x - [tex]\bar{y}[/tex]) =45.4
∑(x - [tex]\bar{x}[/tex])² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²
∑(x - [tex]\bar{x}[/tex])² = 50.8
Now, we can determine the slope coefficient for the line of best fit:
Slope (b) = 45.4/50.8
Slope (b) = 0.894.
Lastly, we would determine the intercept (a) as follows;
[tex]a = \bar{y} - b\bar{x}[/tex]
a = 8.4 - (0.894)8.8
a = 0.535
Therefore, the required equation is y = 0.894x + 0.535.
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Related Questions
Monique Montez earns a 3.5 percent commission on all sales. She also receives a $500 bonus if her commission exceeds $4,000. Her total sales were $82,500. What was her total pay?
Answers
Answer:
Her total pay is 2,887.50 since she did not make over 4000$ she will not receive the extra 500$ bonus
Step-by-step explanation:
82,500 X 3.5% = 2,887.50
x2=-4 please help me find out
Answers
Answer:
Bruh, easy. Divide -4 by 2 and you get -2. So, x = -2.
Why you not know that?!
Answer:
x = -2
Step-by-step explanation:
2x = -4 ( divide by 2)
x = -2
Hurry someone please help me!
Answers
Answer:
From the table, we observe that the domain of the function is {Mon, Tues, Wed, Thurs, Fri} and the range is {1, 2, 3, 4, 0}
So, S(Mon) = 1
S(Tues) = 2
S(Wed) = 3
S(Thurs) = 4
S(Fri) = 0
Hence,
Step-by-step explanation:
9 5/9- 3 2/5= estimate the sum , difference,product and quotient
Answers
The estimated sum of 9 5/9 and 3 2/5 is approximately 13, the difference is approximately 5.84, the product is approximately 32.49, and the quotient is approximately 2.82.
To estimate the sum, difference, product, and quotient of 9 5/9 and 3 2/5, we can convert the mixed numbers into improper fractions for easier calculations.
First, let's convert 9 5/9 into an improper fraction:
9 5/9 = (9 * 9 + 5) / 9 = 86/9
Next, let's convert 3 2/5 into an improper fraction:
3 2/5 = (3 * 5 + 2) / 5 = 17/5
Now, we can perform the calculations:
Sum:
86/9 + 17/5 = (86 * 5 + 17 * 9) / (9 * 5) = 590/45
Difference:
86/9 - 17/5 = (86 * 5 - 17 * 9) / (9 * 5) = 263/45
Product:
(86/9) * (17/5) = (86 * 17) / (9 * 5) = 1462/45
Quotient:
(86/9) / (17/5) = (86 * 5) / (9 * 17) = 430/153
To simplify the fractions and estimate the results, we can approximate them to the nearest whole number or decimal:
Sum ≈ 13
Difference ≈ 5.84
Product ≈ 32.49
Quotient ≈ 2.82
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When Lena went to her friend's sleepover on Friday night, the temperature was
–
7°F. By the next morning, the temperature had risen to
–
1°F.
What was the change in temperature during the sleepover?
Answers
Answer:
6F
Step-by-step explanation:
PLEASE, answer! the problem is in the screenshot, but I have to have 20 characters, so Technoblade Never ___!
TECHNOBLADE NEVER DIES!!!!
Answers
Point A is located identifying the domain value of 1 and the range value of 2. Point B is located identifying the domain value of 3 and the range value of 1.
These points can be used to form a fraction, or ratio, representing the slope of a line. By using this ratio and the intercept, we can write the equation of the line.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The two points for this problem are given as follows:
A(1, 2) and B(3, 1).
When x increases by 2, y decays by 1, hence the slope m is given as follows:
m = -1/2
m = -0.5.
Hence:
y = -0.5x + b.
When x = 1, y = 2, hence the intercept b is given as follows:
2 = -0.5 + b
b = 2.5.
Hence the equation is:
y = -0.5x + 2.5.
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what is the distribute property of 8 • 107
Answers
Answer:
[tex]8.107 = 8 \times 107 = 856[/tex]
An orchard has 672 apple trees. The number of rows exceeds the number of trees per row by 4. How many trees are there in each row?
Answers
Answer:
There will be 42 trees in each row.
Step-by-step explanation:
672 divided by 4 = 168 rows
168 rows divded by 4 = 42 trees in each row
Which is the graph of 5x + 4y ≥ 2?
Answers
The graph of the inequality 5x + 4y ≥ 2 is a solid line with a slope of -5/4 passing through (0, 1/2), and the region above the line is shaded.
The graph of the inequality 5x + 4y ≥ 2 represents a region in the coordinate plane.
To determine the graph, we need to convert the inequality into slope-intercept form, which is in the form y = mx + b.
Let's solve the inequality for y:
5x + 4y ≥ 2
First, subtract 5x from both sides:
4y ≥ -5x + 2
Next, divide both sides by 4 to isolate y:
y ≥ (-5/4)x + 1/2.
Now we have the inequality in slope-intercept form.
The slope is -5/4, and the y-intercept is 1/2.
To graph this inequality, we draw a solid line with a slope of -5/4 passing through the point (0, 1/2).
Since the inequality is greater than or equal to, the line itself is included in the solution.
After drawing the line, we shade the region above the line because any point in that region will satisfy the inequality.
This is because any y-value greater than or equal to the y-values on the line will make the inequality true.
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AB=4x+3 and CD=24+5x find bc
Answers
Answer:
Step-by-step explanation:
1. use distribution factor
(4x+3)(24+5x)
4x times 24 = 96
4x times 5x = 20x
3 times 24 = 72
3 times 5x = 15x
2. combine like terms
96 + 72 = 168
15x + 20x = 35x
35x + 168 or 168 + 35x
I may be wrong please check my answer. I may have a lapse in my algebra, or I may have misunderstood the problem. But this is what I can give you to the best of my knowledge.
please help I need answer ASAP I've tried 13 as the answer but it does not work
Answers
John has a roll container 24 2/3 feet of wrapping paper. He wants to divide it into 11 pieces. First, he must cut of 5/6 foot because it is torn. How long will each piece be ?
Answers
Answer:
total paper= 24 2/³
Step-by-step explanation:
all you have to do is LCM
Solve for x: 3x − 5 = 2x + 6
Answers
Answer:
X=11
Step-by-step explanation:
Step 1: Subtract 2x from both sides.
3x−5−2x=2x+6−2x
x−5=6
Step 2: Add 5 to both sides.
x−5+5=6+5
x=11
Hoped I helped-
Sleepy~
The value of x from the given equation is 11.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 3x-5 = 2x + 6.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, 3x-5=2x+6
3x-2x=6+5
x=11
Therefore, the value of x from the given equation is 11.
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Someone pls help!!!! ASAP!!!!!
Answers
Answer:
3x + x ≠ 90
4x = 90
x = 22.5
Y + y = 90
2y = 90
Y = 45
The angle 6 and 5 I don't understand the question. Thank you and please rate me as brainliest.
what is the slope of the line that passes through the points (0, -2) and (3, 4)
need asap
Answers
use the formula Y2,Y1/X2,X1 formula
Mom and dad work in the garden on weekends
Answers
Answer:
um ok then nice :l
Step-by-step explanation:
There are 32 adults and 20 children at a school play. What is the ratio of
children to people at the school play? (6.RP.3a)
Answers
Answer:
5:13
Step-by-step explanation:
ACTIVITY - Let's Be Reasonable
POSSIBLE POINTS: 20
Julie is balancing her checkbook. Her beginning balance is $325.46, her deposits add up to $285.38, and her withdrawals add up to $683.27.
Approximately how much is her ending balance?
A
B.
About -$70
About - $600
C. About $700
D. About $1,300
x Clear
Undo
Redo
Answers
Answer:
About -$70
she broke
/what is the solution for x in the equation 10x - 4.5 + 3x = 12x - 1.1
Answers
Answer:
x = 3.4
Step-by-step explanation:
Step 1: Write equation
10x - 4.5 + 3x = 12x - 1.1
Step 2: Solve for x
Combine like terms: 13x - 4.5 = 12x - 1.1Subtract 12x on both sides: x - 4.5 = -1.1Add 4.5 on both sides: x = 3.4Step 3: Check
Plug in x to verify it's a solution.
10(3.4) - 4.5 + 3(3.4) = 12(3.4) - 1.1
34 - 4.5 + 10.2 = 40.8 - 1.1
29.5 + 10.2 = 39.7
39.7 = 39.7
9. Use the graph of the function f(x) = x³ – 7x² + 10x to
x`
identify its relative maximum and minimum.
da
-4
8
8
2
K
T
2
da
y
8
+w
8
maximum = 4.1, minimum = -8.2
maximum = 0.9, minimum = 3.8
Answers
The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:
Relative maximum: (0.88, 4.061).Relative minimum: (3.786, -8.209).What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing, that is, where the function curves down.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing, that is, where the function curves up.More can be learned about extremas of a function at https://brainly.com/question/9839310
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2x^2+2=3x help i need a full eplaination
Answers
Answer:
3 ± i sqrt( 7)
-------------------------------
4
Step-by-step explanation:
2x^2+2=3x
Subtract 3x from each side
2x^2 -3x+2=0
Using the quadratic formula
-b ± sqrt( b^2 -4ac)
-------------------------------
2a
a =2 b = -3 c =2
-(-3) ± sqrt( (-3)^2 -4*2*2)
-------------------------------
2*2
3 ± sqrt( 9 - 16)
-------------------------------
4
3 ± sqrt( -7)
-------------------------------
4
sqrt(-7) = sqrt(-1) sqrt(7) = i sqrt(7)
3 ± i sqrt( 7)
-------------------------------
4
An angle in quad 2 measures (3x+5). Its supplementary angle measures (5x+15). What are the angle measures?
ANSWERS:
a) 100,80
b) 120,60
c ) 65,115
d) 90,90
e) 110,70
Answers
What is the product of Five-ninths and Seven-eighths?
Answers
Answer:
Improper fraction form:103/72 Mixed number form: 1 32/72 Decimal form: 1.4035 with 5 repeating
Step-by-step explanation:
Cameron has 3/4 pound of raspberries, 1/8 pound of blueberries, and 1/2 pound of blackberries to make a frit salad. How many pounds of fruit does Cameron have in all?
Answers
Answer:
1.375
Step-by-step explanation:
The number of pounds of fruit Cameron have in all is [tex]1\frac{3}{8}[/tex] pounds.
What is addition of two fractions?To add fractions there are three simple steps:
Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator.
Step 3: Simplify the fraction (if possible)
Given that, Cameron has 3/4 pound of raspberries, 1/8 pound of blueberries, and 1/2 pound of blackberries to make a frit salad.
Now, the number of pounds of fruit Cameron have in all
= 3/4 + 1/8 + 1/2
= 6/8 +1/8 +4/8
= (6+1+4)/8
= 11/8
= [tex]1\frac{3}{8}[/tex] pounds
Therefore, the number of pounds of fruit Cameron have in all is [tex]1\frac{3}{8}[/tex] pounds.
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HELP PLEASE IM A WEEK BEHIND!!!
Week 1 = ? savings
Week 2 = ? savings
Week 3 = ? Savings
Week 4 = ? Savings
Week 5 = ? Savings
Week 6 = ? Savings
Week 7 = ? Savings
Week 8 = ? Savings
Answers
Answer:
Step-by-step explanation:
Week 1 = 78
Week 2 = 100
Week 3 = 122
Week 4 = 154
Week 5 = 173
Week 6 = 194
Week 7 = 213
Week 8 = 131
HELP ME PLEASEEEE I NEED HELO
Answers
Find class boundaries midpoint and width for 120-136
Answers
The class boundaries midpoint and width are 128 and 16
Finding the class boundaries midpoint and widthfrom the question, we have the following parameters that can be used in our computation:
120 - 136
The class boundaries midpont is calculated as
Midpoint = (120 - 0.5 + 136 + 0.5)/2
Evaluate
Midpoint = 128
For the width, we have
Width = 136 - 120
Width = 16
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Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 3
more than 4
times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 108?
Answers
Answer:
M = 21
D = 87
Step-by-step explanation:
D = Don
M = Mark
D = 3+ 4M
M +D = 108
M +(3 + 4M) = 108
3+4M = 108
105 = 5M
M = 21
Then we substitute:
D = 3 + 4M
D = 3 + 4(21)
D = 3 + 84
D = 87
Answer:
Don has 87, and Mark has 21.
Thanks!
Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes exactly 3 books from this shelf. Let s be the number of students which visit library on a particular day. Let b be the number of books left on the shelf at the end of that day.
b
There are 150 students studying in this school. Use this information to find the domain of the function b(s).
Answers
Answer:
Step-by-step explanation:
560=3s+b
b.
560=3×150+b
b=560-450=110
when s=149,b=560-3×149=560-447=113
s=2,b=560-3×2=560-6=554
s=1,b=560-3×1=557
s=0,b=560-3×o=560
so domain of b={110,113,116,...,554,557,560}
what trend does the data in the line graph show ?
Answers
Answer:
its going up 2002 up to 2004
