Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b? a = 0. 4 and b = â€"0. 15 a = â€"0. 4 and b = 0. 15 a = 8. 6 and b = 14. 25 a = â€"8. 6 and b = â€"14. 25.
The residual of a regression is the difference between the actual value and the predicted value
The values of (a) and (b) are -0.4 and 0, respectively.
The entries are given as:
x Given Predicted Residual
1 -0.7 -0.6 -1
2 2.3 1.95 0.35
3 4.1 4.5 a
4 7.2 7.2 b
The residual of a line of best fit is calculated using:
[tex]Residual = Actual - Predicted[/tex]
Using the entry headings, the formula would be:
[tex]Residual = Given - Predicted[/tex]
To calculate the value of (a), we make use of entry (3).
So, we have:
[tex]a = 4.1- 4.5[/tex]
[tex]a = -0.4[/tex]
To calculate the value of (b), we make use of entry (4).
So, we have:
[tex]b = 7.2- 7.2[/tex]
[tex]b = 0[/tex]
Hence, the values of (a) and (b) are -0.4 and 0, respectively.
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What is the Answer to this
========================================================
Explanation:
For now, let's focus on triangle AFG.
This is a right triangle with the following sides:
FA = unknown horizontal leg = xFG = vertical leg = 6.1AG = hypotenuse = 11.2We'll use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
(FA)^2 + (FG)^2 = (AG)^2
x^2 + (6.1)^2 = (11.2)^2
x^2 + 37.21 = 125.44
x^2 = 125.44 - 37.21
x^2 = 88.23
x = sqrt(88.23)
x = 9.39308 approximately
Side FA is roughly 9.39308 units long.
-----------
Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.
Put another way:
FG is a perpendicular bisector for AEDG is a perpendicular bisector for ECBecause of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.
We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.
Therefore,
AE = FA + FE
AE = 9.39308 + 9.39308
AE = 18.78616
AE = 18.8 when rounding to the nearest tenth, aka one decimal place.
Answer:
18.79
Step-by-step explanation:
→ Use Pythagoras theorem
√11.2² - 6.1²
→ Simplify
9.39
→ Now double the answer
18.79
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
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Hey there! I'm happy to help!
Since we are using graphs, we will do not need to algebraically solve this system of equations.
When you graph a system of equations, the solution is always the point at which the two lines intersect.
Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3
Have a wonderful day! :D
can someone help me with this
For 1-3 write an equivalent expression
1.) -3(7+5g)
2.) (x+7)+3y
3.) 2/9-1/5*x
[tex]\huge \bf༆ Answer ༄[/tex]
The equivalent expressions are ~
Question : 1 [tex] \sf \: - 3(7 + 5g)[/tex][tex] \sf - 21 - 15g[/tex][tex] \sf- 15g - 21[/tex]Question : 2[tex] \sf \:( x + 7) + 3y[/tex][tex] \sf \: x + 7 + 3y[/tex][tex] \sf \: x + 3y + 7[/tex]Question : 3 [tex] \sf \dfrac{2}{9} - \dfrac{1}{5x} [/tex][tex] \sf \dfrac{10x - 9}{45x} [/tex]9 5×
10× - 945×
-6x+3y= -15 4x-3y= 13
Answer:
Equation form = x = 1, y = -3
Step-by-step explanation:
Point form = (1,-3)
Find the degree of this polynomial
z − 2
Answer:
1
Step-by-step explanation:
Given 4 < x < 9 and 5 - y< 4 , where x and y are integers. Find the maximum value of x-y.
Answer:
You want to maximize x and minimize y
Maximum y = 8
Minimum y = 10
8-10= -2
Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?
Answer:
4 inches.
Step-by-step explanation:
The height of a rectangle is reduced by Shawna to a size of 2 inches.
The original width of the rectangle was 24 inches and the height was 12 inches.
If the ratio of width to height remains the same, then we can find the new width.
If the new width is x inches then, we can write
[tex]\frac{x}{2} = \frac{24}{12}[/tex]
⇒ x = 4 inches. (Answer)
Answer:
the new width is 14
Step-by-step explanation:
original height 12
12-2= 10 (the amount that was taken away to get the new height)
24- 10= 14 ( the new width)
Find the value of x.
Answer:
11
Step-by-step explanation:
Arc YZ and angle YXZ must add up to 180. You can review your notes, and you will probably find an identity that relates to this. But I will prove this using quadrilaterals, mainly, well, because I forgot what the identity was.
Lets call the center of the circle O. Angles XYO and XZO must be 90 degrees since they are tangent to the circle. These angles add up to 180, leaving the two remaining angles, who also must add up to 180. Therefore, the angle YOZ, and YXZ, must add up to 180. Note that angle YOZ is equal to arc YZ.
In our case, angle YOZ is 125 degrees given by the arc YZ, and the angle of YXZ is 6x-11. We can set up an equation like this:
YXZ+YOZ=180
6x-11+125=180
Simplify
6x+114=180
Solve
6x=66
x=11
Therefore, our value of x is 11 and the angle YXZ is 55 degrees.
12 times 3/8 and simplified
Answer:
4 1/2
Step-by-step explanation:
[tex]12*\frac{3}{8} \\=3*\frac{3}{2} \\=9/2= 4 \frac{1}{2}[/tex]
Can someone answer this
Answer:
-2/3 is the correct answer
Step-by-step explanation:
hope this helps
Answer:
Number 2 is the answer.
Step-by-step explanation:
Rise/run
and the line is going down.
Solve (x 3)2 (x 3) â€"" 2 = 0. Let u =.
The solution to the original equation will be -2 and -6
Given the function [tex](x + 3)^2 + (x + 3) - 2 = 0.[/tex]
If u = x + 3, the function in terms of "u" will be;
[tex]u^2+u-2=0[/tex]
Factorize the resulting equation as shown:
[tex]u^2+u-2=0\\u^2+2u-u-2=0\\u(u+2)-1(u+2)=0\\(u-1)(u+3) = 0\\u=1 \ and \ -3[/tex]
Since x + 3 = u
x = u - 3
If u = 1
x = 1 - 3 = -2
If u = -3
x = -3 - 3 = -6
Hence the solution to the original equation will be -2 and -6
Correct question:
Solve (x + 3)^2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u – 2 = 0 u2 + u + 1 = 0 Factor the equation. What are the solutions of the original equation?
Learn more on factorization here: https://brainly.com/question/25829061
ann works in a supermarket for $10.00 per hour. she received a raise to $12.00 . What is the percent of change in her hourly wage?
Answer
20%
Step-by-step explanation:
10.00 is the start wage, 12.00 is the new wage
going from 10 to 12 dollars is a 2 dollar increase
2 dollars is 20% of her original salary, so she is now making 120% of what she previosuly made which is a 20% increase
Elsa makes a poster that is 1.5 m tall. Greg makes a poster that is 96 cm tall. Who makes a taller poster?
Answer:
dont mind me just grinding for points
Step-by-step explanation:
Which situation is NOT a linear function?
A. A video subscription service which charges $7.99 a month
B. A factory worker that gets paid $19 an hour
C. A $350,000 house that depreciates 4% per year
D. A gym membership that charges $7 when joining, and $12 a month
Answer:
C
Step-by-step explanation:
If you take 4% away from 350,000, it equals 336000. Divide this number by 350000, and you get 96%, which makes sense. But, if you take 4% away from 336000, it equals 322560. If you take 322560 divided by 350000, it equals 92.16%. This proves it is not linear, because if it was linear, the ending percentage would be exactly 92% since you took away 4% twice.
Help help help math math
If 90% of 150 students passed their exam, and 1/5 of those received an A on the test, how many students received an A?
Answer:
27 students received an A
Step-by-step explanation:
90% of 150 is 135
1/5 of 135 is 27
Kent had $280. He spent 3/7 of his money on a present and 1/4 of his money on a meal. How much money did Kent spend altogether
Answer:
$190
Step-by-step explanation:
he spent 3/7·(280), or $120 on a present
he spent 1/4·(280), or $70 on a meal
he spent $190 altogether
5(x-4)+?=+12x-21 what is the answer?
5(x-4) + ? = 12x - 21
5x - 20 + ? = 12x - 21
? = 7x -1
ok done. Thank to me :>
I need help with this !!
Answer:
-27
Step-by-step explanation:
It looks like you're trying to evaluate ...
[tex]\displaystyle 5^{\log_5{8}}-3^{\log_3{5}+\log_3{7}}=8-3^{\log_3{35}}=8-35=\boxed{-27}[/tex]
__
The relevant rules are ...
b^(log_b(x) = x
log(a)+log(b) = log(ab)
What number makes the expressions equivalent? Enter your answer in the box. 12 (â€""1. 4m 0. 4) = m 0. 2.
The value of "m' that makes the expression equivalent is 0.2584
Given the expression 12 (–1.4m + 0.4) = m + 0.2
We need to solve for the value of m from the expression.
12 (–1.4m + 0.4) = m + 0.2Expand using the distributive law:
12(-1.4m) + 12(0.4) = m + 0.2
16.8m + 4.8 = m + 0.2
Collect the like terms:
-16.8m - m = 0.2 - 4.8
-17.8m = -4.6
m = 4.6/17.8
m = 0.2584
Hence the value of "m' that makes the expression equivalent is 0.2584
Learn more on expressions here: https://brainly.com/question/22048677
Please helpppppppppp
Explain the steps in solving 2.14x-12.18=-576 , and write the solution to the equation.
Answer:
add 12.18 to both sides and the divide by 2.14 on both sides until its x equal whatever you get
A barrel contained 100 gallons of water. Water leaked out of the barrel at a rate of 4 gallons every
5 days. At this rate, how many days did it take for all 100 gallons of water to leak out of the
barrel?
H 20 days
E 125 days
F 25 days
L 80 days
Answer: It will take 125 day
Step-by-step explanation: 100 divide by 4 = 25 and 25 x 5 = 125
What is a theme of the poem "Dream Variations" by Langston Hughes?
It is life's desire to live freely and expressively without boundaries.
People have the power within to make a fresh start in life.
One should spend less time living in the past and enjoy the present.
It is important to find balance between work and rest.
One theme of the poem Dream variations is the desire to live freely and expressively (option A).
In poems and other literary texts, themes are deep ideas about life that are indirectly expressed by the author. In the case of the poem "Dream variations", the author Langhtons Hughes refers to life and death.
About life, Hughes expresses the importance of living life at its fullest before death occurs. This desire to live freely and expressively is shown in verses such as:
"To fling my arms wideIn the face of the sun"
or in
"To whirl and to dance"
Learn more about poem in: https://brainly.com/question/9527212
Answer:
Step-by-step explanation:
I took the quiz :)
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hmmm, between the three options I would go with the second one since the number of 1-foot cubes equals exactly the volume of the fish tank.
But to truly calculate the volume
5 x 3 = 15
15 x 3 = 45
45 is the volume of the fish tank
20 POINTS! Will give brainliest to correct answer! Please help. I would also really appreciate an explanation for the answer so that I can do it on my own next time.
Answer:10/9 if I am wrong I am sorry
Step-by-step explanation:
Answer:
[tex]\frac{100}{9}[/tex]
Step-by-step explanation:
PLEASE HELP ME
A rectangular plot of land is 90 ft long and 105 ft wide. On a map, the length is 3.6 in. Identify the width on the map.
Answer:
4.2 in
Step-by-step explanation:
90÷3.6 = 25
The plot of land is 25 times bigger than the map's scale. You have to divide 105 by 25 to get the same scale as the length (3.6 in.)
105÷25 = 4.2
Please give brainliest if that helped at all!
helppppppppppppppppppp
Answer:
B. a×1
Step-by-step explanation:
This is because a×1 gives a result of a thus,a multiplying the identity element of multiplication
Find the surface area of a sphere with a diameter of 10 centimeters.
a. 1,256.6 cm3
b. 104.7 cm3
c. 314.2 cm3
d. 209 cm3