These are the values in Ariel’s data set. (1, 67), (3, 88), (5,97), (6, 101), (8, 115) Ariel determines the equation of a linear regression line to be yˆ=6.5x+63.8 . Use the point tool to graph the residual plot for the data set. Round residuals to the nearest unit as needed.
Answers
A residual is the difference between the predicted value and the actual value. You are given an equation that will make the predictions for you.
Input in the first number of your pairs to find the predicted output. Then, subtract that from the actual value.
Here is the work for the first point:
6.5(1) + 63.8 = 70.3
70.3 - 67 = 3.3
The residual at x = 1 is 3.3.
Answer:
Correct answers below. :)
Step-by-step explanation:
Hope this helps! Have a good day!
Related Questions
the statement 2n^2+5n-25=0 opens up because
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____
The statement 2n^2 +5n -25 = 0 defines two values of n.
The function below can be used to calculate the cost of making a long distance call, f(m), which is based on a $2.50 initial charge and a fee of $.12 per minute, m, that the call lasts. If Natalie paid $6.82 for one call, how many minutes long was it?
Answers
if Natalie paid $6.82
6.82 = 2.5 + 0.12m
0.12m = 6.82 - 2.5
0.12m = 4.32
m = 4.32 ÷ 0.12
m = 36
The call was 36 minutes long.
If 3x + 8 = 5x - 6, then what is the value of 10x?
Answers
3x + 8 - 5x = 5x - 6 - 5x
-2x + 8 = -6
-2x + 8 - 8 = -6 - 8
-2x = -14
-2x/-2 = -14/-2
x = 7
10x
10 (7)
70
The value of 10x is 70. The value of x is 7.
F(x)=x+2/2 what is the value of f(-8)
A.-4
B.-3
C.-5
D.-6
Answers
------------------------------------------------------
Work Shown:
f(x) = (x+2)/2
f(-8) = (-8+2)/2 ... replace every x with -8; use PEMDAS
f(-8) = (-6)/2
f(-8) = -3
A hair salon charges a fixed rate of $25.00 for a haircut and an additional $15 for any other services. Write a function to model the cost of services at the salon and then evaluate the function to determine the cost for a haircut, shampoo, highlight, and blow dry.
Answers
Answer:
Function : Cost =25 + 15x
Cost for a haircut, shampoo, highlight, and blow dry = $70
Step-by-step explanation:
Hi, to answer this we have to write an equation:
The cost of the services will be equal to the fixed cost for the haircut (25.00) plus the product of the number of additional services (x) and the price of each additional service (15).
Mathematically speaking:
Cost =25 + 15x
To determine the cost for a haircut, shampoo, highlight, and blow dry, we have to substitute x = 3 (because shampoo, highlight, and blow dry are additional services ) in the equation and solve.
Cost = 25+ 15 (3)
Cost = 25+45
Cost = $70
Alex was thinking of a number. Alex subtracts 14 from it and gets an answer of 29.6. What was the original number?
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43.6 - 14 = 29.6
Hope this helped!
Can someone solve the equation |x+8| = x+8
Thank you!
Answers
Hope This Helps Human <3
Can anyone help me with these two true/false questions? :)
9. Determine whether the statement is always, sometimes, or never true.
A cubic function has an inverse.
a. always true
b. sometimes true
c. never true
10. Determine whether the statement is always, sometimes, or never true.
A linear function has an inverse relation.
a. always true
b. sometimes true
c. never true
___
Thanks!,
Answers
Answer:
9. b. sometimes true
10. a. always true
Explanation:
9. Any function will have an inverse relation. This question is not specific as to whether that inverse relation must be a function. We will assume that that is the intent.
The attached graph shows a cubic function with an inverse function (green), and another without (red).
A cubic function will have an inverse function sometimes.
____
10. As stated above, any function will have an inverse relation.
A linear function will have an inverse relation always.
__
The graph shows a linear function with an inverse function (green), and one that has an inverse relation, but not an inverse function (red).
Vertical line that passes through the point (3,-8)
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All vertical lines have an undetermined slope (since the formula which represents the slope has a denominator of 0). Therefore the general formula of a vertical line is the following x = c, with c representing the x-coordinate of the point that is passed by the line. Therefore, in your situation we get the line x = 3. When we plot this line, we can see it is a vertical line with x-coordinate 3 and that all values of y are passed, also y = - 8.
A child walks due east on the deck of a ship at 4 miles per hour.
The ship is moving north at a speed of 12 miles per hour.
Find the speed and direction of the child relative to the surface of the water.
Speed = mph
The angle of the direction from the north = (radians)
i have the speed i couldn't find the direction !,
Answers
Therefore, to get the speed relative to the surface you have to sum the two vectors, which means you can apply the Pythagorean theorem to find the hypotenuse, having the two legs.
h = √(4² + 12²) = √160 = 4√10 = 12.65mph
In order to find the direction, you need to use trigonometry:
- the sine of an angle is given by the ratio between the opposite side divided the hypotenuse;
- the cosine of an angle is given by the ratio between the adjacent side divided by the hypotenuse.
You can use either one, I will show you both:
sinα = O / H
inverting the formula: α = arcsin (O / H) = sin⁻¹ (O / H)
these two forms are equivalent.
Similarly:
cosβ = A / H
β = arccos (A / H) = cos⁻¹ (A / H).
Substituting your numbers:
α = sin⁻¹ (12 / 12.65) = sin⁻¹ (0.9486) = 1.25rad
β = cos⁻¹ (4 / 12.65) = cos⁻¹ (0.3162) = 1.25rad
As you can see, α = β so you can use either formula.
Your answer will then be: the child is moving relative to the surface of the water with a speed of 12.65mph at a direction of 1.25rad from East towards North.
ATTENTION!
If you drew first the vector towards North and then the one towards East, you get an equivalent triangle, which is rotated by 180° respect to the previous one. This way, what you earlier called Opposite is now Adjacent and vice-versa, but the formulas are still valid.
You will get:
α = sin⁻¹ (4 / 12.65) = sin⁻¹ (0.3162) = 0.32rad
β = cos⁻¹ (12 / 12.65) = cos⁻¹ (0.9486) = 0.32rad
And your answer will be: the child is moving relative to the surface of the water with a speed of 12.65mph at a direction of 0.32rad from North towards East.
How do I solve for h
Answers
.. AD = AC -DC = 20 -4
.. AD = 16
Then
.. (long leg)/(short leg) = AD/DB = BD/DC
.. 16/h = h/4
.. h^2 = 64
.. h = 8
Selection D is appropriate.
_____
You may see this again. The altitude (h) from the right angle in a right triangle is the geometric mean of segments AD and DC. That is,
.. h = √((AD)*(DC))
In a bag there are 4 blue marbles,8 red marbles, and 5 orange marbles. if two marbles are drawn without replacement find the probability that both marbles are the same color, the second marble being red. the first being blue the second being orange
Answers
= 4/17 * 3/16 + 8/17 * 7/16 + 5/17 * 4/16 = 3/68 + 7/34 + 5/68 = 11/34 Answer
P( second marble being red) = P(first marble not being red) * P( second being red)
= 9/17 * 8/16 = 9/17 * 1/2 = 9/34 answer
P(first ble and second orange) = 4/17 * 5/16 = 5/68 answer
The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.
R^6 =
B
E
O
Answers
Answer:
B will be at same place after all six rotations.
Step-by-step explanation:
If rotation maps to [tex]60^{\circ}[/tex]
Then [tex]R^6[tex] means six rotations .
The given B after one rotation will shift in place of A
After second rotation will shift in place of F
After third rotation will shift in place of E
After fourth rotation will shift in place of D
After fifth rotation will shift in place of C
After sixth rotation will shift in place of B itself.
Therefore, B will come back to same place after all the required rotations.
The graph of an exponential function is given. Which of the following is the correct equation of the function?
y = 0.65x
y = 2.4x
y = 3.5x
y = 0.32x
Answers
-----------------------------------------
Explanation:
We can rule out choice B and choice C which are y = 2.4^x and y = 3.5^x respectively. Why can we eliminate these? Because they are growth functions (the bases are larger than 1). The graph shown is a decay function. It goes downhill as you read it from left to right.
The answer is either choice A or choice D
If we plug in x = -2 into the equations for A and D, we get
y = 0.65^x = 0.65^(-2) = 2.36686
y = 0.32^x = 0.32^(-2) = 9.765625
The result for choice D is much closer to what the graph is showing. The graph appears to have the point (-2,11) on the curve. So that's why choice D is the best answer.
Note: the graph is a bit small and its not entirely clear which points are on this graph other than (0,1). So this is a bit of educated guesswork.
Which represents the explicit formula for the arithmetic sequence
Answers
7-3(n-1) = 7 - 3n + 3 = -3n +10 [tex]f(n) = -3n+10[/tex]
So the answer is D.
Gina pumps 40 cubic inches of air per second into a balloon. The function below shows the total amount of air f(t) inside the balloon after t seconds. f(w) = 40t + 5 Which statement best describes the y-intercept of the graph of the function?
Answers
Mathematically we have:
For t = 0:
f (0) = 40 (0) + 5
f (0) = 0 + 5
f (0) = 5
Answer:
The intersection with the y-axis represents the total amount of initial air before starting to pump air.
The initial air quantity is:
5 in ^ 3
find the perimeter of the quadrilateral. if x = 2 the perimeter is
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then [tex]the perimeter=31+(4x^{2}+8x)+(7x+30)+(3x^{2}-5x+20)[/tex]
[tex] the perimeter= (4x^{2}+3x^{2})+(7x+8x-5x)+20+30+31=7x^{2}+10x+81[/tex]
for x=2
[tex] the perimeter= 7*(2)^{2}+10*2+81=7*4+20+81=28+101=129[/tex]
Note:
Please double check the substitution but the procedure is 100% right.
Answer:
Step-by-step explanation:
Since perimeter of any polygon is represented by sum of its all sides.
Therefore, perimeter of the given quadrilateral = (4x² + 8x) + (3x² - 5x + 20) + (7x + 30) + 31
4x
Please help, I’m kinda confused
Answers
Which of the following decimal numbers equals 4 thousand, 9 hundreds, 2 tens, and 6 ones?
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decimal numbers equals
4 thousand---------> 4000
9 hundreds--------> 900
2 tens-----------> 20
6 ones-------> 6
so
[4000+900+20+6]=4926
the answer is 4926
Answer please anybody
Answers
f(x) = 2x + 1
g(x) = x^2 - 7
(f - g)(x);
(2x + 1) - (x^2 - 7);
-x^2 + 2x + 8.
Your correct answer is C.)
I hope this helps!
Translate three times the sum of a number and five
Answers
number = n
the sum of a number and five: n + 5
3 times the sum of a number and five
3(n + 5) is your answer
hope this helps
What is the value of x? Please Answer
Answers
This is a right angle and right angles are 90 degrees in total.
90-30= 60
We know that the missing part of the angle equals 60 degrees so we divide 60 by 4x.
60/4x=15.
I hope that was clear enough, sorry if it’s not. Have a great day and good luck!
Can anyone help me I don’t know how to do this
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y = a(x -h)² +k . . . . . . . . for some stretch factor "a" and vertex (h, k)
1. Vertex = (h, k) = (0, 0). Stretch factor can be found from the given point (x, y).
8 = a(-2 -0)² +0
8 = 4a . . . . . . . . simplify
2 = a . . . . . . . . . divide by the coefficient of "a"
Your equation is y = 2x².
Note the above method for solving these problems. It repeats.
2. As above, substitute what's given and solve for what's not.
3 = a(1 -2)² +0
3 = a
Your equation is y = 3(x -2)²
3. Repeat
-4 = a(-5 +3)² +0
-4 = 4a
-1 = a
Your equation is y = -(x +3)²
4. Are you seeing the pattern yet?
0 = a(-1 -0)² +1
0 = a +1
-1 = a
Your equation is y = -x² +1
5 & 6. You know that if you want a zero (x-intercept) to be located at x=a, then a factor of the quadratic will be (x -a). Multiply the factors together to get your quadratic function.
5. y = (x -0)*(x -2) = x² -2x
6. y = (x +5)*(x -5) = x² -25 . . . . . . . . . . you should recognize this "special form", the factoring of the difference of squares
John says the transformation rule (x, y) --> (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?
Answers
(x, y) -> (x + 4, y + 7)
The ordered pair to which the transformation is applied is:
(x, y) = (4, 5)
Therefore, applying the transformation we have:
(4, 5) -> (4 + 4, 5 + 7) -----> (8, 12)
The error for this case is that John made the following transformation:
(4, 5) -> (4 - 4, 5 - 7) -----> (0, -2)
That is, rest the numbers instead of adding.
Answer:
his error was subtract instead of adding.
The correct answer is:
(8, 12)
Answer:
The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.
3/5, give the equivalent numerator if the denominator is 80
3
16
48
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In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 7 in?
Enter your answer in the box.
Answers
The length of the hypotenuse is 14in
SOH CAH TOA identityGiven a 30-60-90 triangle where:
Length of the shorter leg = 5cm (adjacent)
The hypotenuse is what we need..
[tex]cos \theta = \frac{adj}{hyp} \\ [/tex]
Substitute the given parameters
[tex]cos 60 = \frac{7}{h}\\ h =\frac{7}{cos 60}\\ h = \frac{7}{0.5}\\ h = 14in\\ [/tex]
Hence the length of the hypotenuse is 14in
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
how is jimthompson so smart?
Also can you please help me with that question.
I got everything except for the Euler Diagram.
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Step 1) Draw a large circle and label it circle A
Step 2) Inside this large circle, draw a smaller circle and label it circle B
Circle A will represent the set of all obtuse angles (any angles that are between 90 and 180 degrees). Circle B represents only one item: the angle value of 150 degrees. All of circle B is inside circle A because 150 degrees is between 90 and 180; therefore, 150 is obtuse. This is simply the definition of what "obtuse" means.
So if you threw a dart and it landed in circle B, then you know for sure it landed in circle A as well. This is effectively saying "if you get a 150 degree angle, then you know its obtuse"
This is a visual way to back up the conditional statements you used earlier and help add more evidence that the statement "A 150 degree angle is an obtuse angle" is a valid statement.
What is the value of b^2 - 4ac for the following equation?
x^2 + 5x + 4 = 0
A: 9
B: 16
C: 25
Answers
a=1
b=5
c=4
b^2 -4ac =
25 -4 * 1 * 4 =
25 -16 =
9
answer is A
A set of 5 numbers has a mode of 12 a median of 11 a mean of 10 what could the numbers be?
Answers
The mode is 12. The value 12 shows up the most times. Let's say it shows up twice. So far the data set is {11, 12, 12}
Let's introduce two more numbers x and y
The new data set is {x, y, 11, 12, 12}
Add up the five values and then divide by 5. We want this result to be equal to 10
(x+y+11+12+12)/5 = 10
(x+y+35)/5 = 10
x+y+35 = 10*5
x+y+35 = 50
x+y = 50-35
x+y = 15
So we don't know what x or y is, but we know that they must add to 15. So all you have to do is list two numbers that add to 15. One such pair is x = 6 and y = 9. Another pair is x = 7 and y = 8. There are infinitely many possibilities if you can use any real number.
So one possible set is {6, 9, 11, 12, 12}
Another possible set is {7, 8, 11, 12, 12}
A line has a slope of -1/2 and a y-intercept of –2. What is the x-intercept of the line? –4, –1, 1 ,4
Answers
now, we have the slope and the y-intercept, well, let's plug those two in the slope-intercept form, reason why is called that anyway,
[tex]\bf y=\stackrel{slope}{-\cfrac{1}{2}}x\stackrel{y-intercept}{-2}\implies 0=-\cfrac{x}{2}-2\implies \cfrac{x}{2}=-2\implies x=-4[/tex]