A residual plot is shown.
Which statements are true about the residual plot and the equation for the line of best fit for the data? Check all that apply.
1) The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.
2) The equation for the line of best fit is a good approximation for the data because the points are random, having no pattern.
3) The residual plot has a linear pattern.
4) The points of the residual plot are spread evenly above and below the x-axis.
5) The residual plot has the pattern of a curve.
6) The equation for the line of best fit is not a good approximation for the data because the points have a linear pattern.
Answers
The second one is not true because the point do not look random. they look like they might be a parabola
The third one is not a choice because plot does not have a linear (straight line) pattern. Linear means straight line.
The fourth one is not true. There is only 1 point below the x axis. The rest are above the x axis.
The 5th one is true.
The 6th one is not true. Those points do not have a straight line pattern.
Answer:
I didn't have that sixth option, but the correct answers are
1. (A.) The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.
and
5. (E.) The residual plot has the pattern of a curve.
Related Questions
Due tomorrow. Please help!!!!
Answers
[tex]d=\dfrac{a_{17}-a_{7}}{17-7}=\dfrac{81-41}{17-7}=\dfrac{40}{10}=4[/tex]
The first term of the sequence can be found from either of the given terms.
[tex]a_{7}=41=a_{1}+(7-1)d=a_{1}+24\\a_{1}=41-24=17[/tex]
The sum of 40 terms is
[tex]S_{40}=\dfrac{40}{2}(a_{1}+a_{40})=20(17+(17+39\cdot 4)=20\cdot 190=3800[/tex]
The sum of the first 40 terms is 3800.
how do I solve this?
Answers
[2² * (√(3x⁵))² - 2² * (√y)²]
Now simplify. Placing a square root to the power of 2 just cancels each other out so you're left with:
[4(3x⁵) - 4y]
Simplify again for your answer:
12x⁵ - 4y
two negative integers have a sum of -18 and a product of 80. what are the integers?
Answers
-8*-10=80
Please rate brainliest if this helped you.
The most reasonable answer would -8 and -10.
-8 * -10 = 80
-8 + -10 = 18
Hope I helped!
How do I do this? Please help
Answers
so on chord FH you have 3.5 and 4.8
multiply those: 3.5 x 4.8 = 16.8
so now chord GI needs to equal 16.8
to find Y divide 16.8 by 2.4
y = 16.8 / 2.4 = 7
y = 7
What is the eleventh term in the sequence 17, 24, 31, 38…?
Answers
A function has a domain of {1, 3, 5, 7} and a range of {2, 4, 6}. Which set of ordered pairs represents this function?
A.{(1, 2), (3, 4), (5, 6), (7, 2)}
B.{(1, 2), (3, 6), (5, 4), (5, 2)}
C.{(1, 2), (3, 2), (5, 2), (7, 2)}
D.{(1, 4), (3, 4), (5, 6), (7, 6)}
Answers
{1, 3, 5, 7}
We have the following range:
{2, 4, 6}
A value of the range belongs to each value of the domain.
Therefore, the ordered pairs are:
(1, 2)
(3. 4)
(5, 6)
Answer:
A. {(1, 2), (3, 4), (5, 6), (7, 2)}
Complete the solution of the equation. Find the value of Y when X equals 2. 2x - 2y = 22
Answers
substitute 2 as the value of x.
we get;
2*2 -22 = 2y
4 - 22 = -18 = 2y
y = -9
The value of Y when x = 2 is y = -9
An item is priced at $13.04. If the sales tax is 5%, what does the item cost including sales tax? If necessary, round to the nearest cent.
A.
$13.56
B.
$13.24
C.
$12.39
D.
$13.69
Answers
13.04 * 0.05 = 0.652
When you round it to the nearest cent you get 69 cents
so the answer is D) 13.69
What percent of 51 is is 40?
Answers
Peaches varied directly as apples. when there were 40 peaches, there were 120 apples. how many apples went with 500 peaches?
Answers
let the number of peaches be p and that of apples be a
hence
p=ka
where
k is constant of proportionality given by:
k=p/a
when:
p=40, a=120
thus
k=40/120=1/3
thus the equation will be:
p=1/3a
thus the number of apples where there are 500 peaches will be:
500=1/3a
multiplying both sides by 3 we get:
500×3=1/3a×3
a=1500
WHO LIKES PARABOLAS 3 MULTIPLE CHOICE
1. What is the vertex of the parabola? y−3=12(x+5)^2
2. The equation of a parabola is y=12x2+6x+23 .
What is the equation of the directrix?
y = 5.5
y = 4.5
y = 2
y = 0.5
3.The equation of a parabola is 132(y−2)2=x−1 .
What are the coordinates of the focus?
(−7, 2)
(1, 10)
(1, −6)
(9, 2)
Answers
[tex]y-3=12(x+5)^{2} \\ \\ y= 12(x+5)^{2}+3[/tex]
The vertex of the general parabolic equation:
[tex]y=a(x-h)^{2}+k [/tex]
lies at (h,k)
Comparing the given equation to general equation, we can write:
h = - 5
k = 3
So, the vertex of the given parabola will be (-5, 3)
Question 2) Equation of Directrix
The correct equation of the parabola is:
[tex]y= \frac{1}{2} x^{2} +6x+23 \\ \\ [/tex]
First we need to convert the equation to standard form as shown below:
[tex]y= \frac{1}{2}( x^{2} +12x)+23 \\ \\ y= \frac{1}{2}( x^{2} +12x+36)+23- \frac{1}{2}(36) \\ \\ y= \frac{1}{2}(x+6)^{2}+5 \\ \\ y-5= \frac{1}{2}(x+6)^{2} \\ \\ 2(y-5)=(x+6)^{2} \\ \\ 4( \frac{1}{2})(y-5)= (x+6)^{2}[/tex]
The directrix of the general parabola of the form:
[tex]4p(y-k)=(x-h)^{2} [/tex]
is y = k - p
Comparing equation of given parabola with general parabolic equation, we can write:
p =1/2
k = 5
So, equation of directirx will be:
y = 5 - 1/2 = 4.5
So, option B gives the correct answer.
Question 3) Focus of the parabola
The correct equation of the parabola is:
[tex] \frac{1}{32}(y-2)^{2}=x-1 \\ \\ (y-2)^{2}=32(x-1) \\ \\ (y-2)^{2}=4*8(x-1)[/tex]
Comparing this equation to the general parabolic equation, we can write:
p=8
h =1
k = 2
The focus of the parabola will be at (h+p,k) = (9,2)
So the focus of the parabola is at (9,2)
Thus, option D gives the correct answer.
answer these questions. Number 1 and number 2.
Answers
2) A cone, the top right one, is being formed by the rotation.
What is the inverse of the function f(x)= 19/x^3 ?
Answers
Answer: [tex]f^{-1}(x)=\sqrt[3]{\dfrac{19}{x}}[/tex]
Robin says that polynomials are closed under division. Brad adamantly disagrees. Who is correct? Justify your answer.
Answers
Polynomials do not include negative exponents; this means there can be no variables in the denominator. If two polynomials do not divide evenly, the remainder is written as a fraction with the divisor (which can include a variable) in the denominator. This is not a polynomial.
A school play cost $1,200 to produce. if tickets sold for $5 each, the profit, p, made on the play by selling x tickets is given by the equation shown. p=5x−1,200 what is the slope of the line representing this equation?
Answers
Slope is always the number attached to x.
The slope of the line representing this equation will be;
⇒ $5
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The tickets sold for $5 each, the profit, p, made on the play by selling x tickets is given by the equation shown,
⇒ p = 5x - 1,200
Now,
We know that;
The slope - intercept form of an equation is,
y = mx + c
Where, 'm' is slope of the line and 'c' is y - intercept.
Here, The equation is,
⇒ p = 5x - 1200
By comparing, we get;
⇒ Slope (m) = 5
Thus, The slope of the line representing this equation = 5
Learn more about the equation of line visit:
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Today an exercise equipment store took 15% off the price of a treadmill, and for the next 2 days, it will take 15% off the previous day's price. If the price of the treadmill yesterday was $4000, what will be the price of the treadmill 2 days from now? (5 points: Part I – 1 point; Part II – 1 point; Part III – 1 point; Part IV – 2 points)
Answers
You should use 85% (100% - 15%) as the part you will pay for a quicker calculation.
$4000 x 0.85 = $3400 (after the first day)
$3400 x 0.85 = $2890 (after the second day)
$2890 x 0.85 = $2456.50 (after third day)
If the price of the treadmill yesterday was $4000, what will be the price of the treadmill 2 days from now? I interpreted this as the discount would be applied for 3 days.
A translation is applied to the rectangle formed by the points A(−2, 6) , B(2, 6) , C(2, 4) , and D(−2, 4) . The image is the rectangle that has vertices A′(1, 6) , B′(5, 6) , C′(5, 4) and D′(1, 4) . Select the phrase from the drop-down menu to correctly describe the translation. The rectangle was translated .
Answers
You can just move one of the points to see how it moved.
Answer:
The answer is 3 units to the right.
Step-by-step explanation:
Craig is designing a new cylinder-shaped can for a pet food company. He wants the height of the can to be 40 mm and the radius of the can to be 1 3/8 times the height of the can. He models the can on a coordinate grid as a rectangle in the first quadrant that will be rotated around the y-axis to create the 3-dimensional can. What will be the diameter of the can?
Answers
h = 40 mm
The radius of the can is given by:
r = (1 3/8) * h
Substituting values:
r = (1 3/8) * 40
r = 55 mm
Therefore, the diameter of the can is:
d = 2 * r
d = 2 * 55
d = 110 mm
Answer:
The diameter of the can will be:
d = 110 mm
The chord AB is a diameter of O. True or false.
Answers
Answer:
False.
Step-by-step explanation:
We have been given a graph and a statement. We are asked to determine whether the given statement is true or false.
Statement: The chord AB is a diameter of O.
We know that diameter of a circle is a chord that passes through the center of the circle.
Upon looking at our given graph, we can see that chord AB doesn't pass through the center at point 'o', therefore, AB is not a diameter of circle O.
Therefore, the given statement is false.
Answer: False
Step-by-step explanation:
I just got it right on the quiz
{3, 4, 7} list all the subsets.
Answers
Subsets that have 3 items: {3, 4, 7} which is the original set. Any set is a subset of itself.
---------------------------------------------------------------------------------------
Subsets that have 2 items
{3, 4}, {3, 7}, {4, 7}
---------------------------------------------------------------------------------------
Subsets that have 1 item
{3}, {4}, {7}
---------------------------------------------------------------------------------------
Subsets that have 0 items: the empty set which we write { } or using the symbol [tex]\varnothing[/tex]
---------------------------------------------------------------------------------------
So all together we have 8 subsets
{3, 4, 7}
{3, 4}, {3, 7}, {4, 7}
{3}, {4}, {7}
{ }
Side Note: There are n = 3 items in the original set so there are 2^n = 2^3 = 8 subsets possible. The collection of all subsets is known as a power set.
The subsets of {3, 4, 7} are {}, {3}, {4}, {7}, {3, 4}, {3, 7}, {4, 7}, {3, 4, 7}
Explanation:
When listing all the subsets of {3, 4, 7}, we include the empty set {}, as well as all the subsets that can be formed by selecting one or more elements from the original set. In this case, the subsets are:
{}{3}{4}{7}{3, 4}{3, 7}{4, 7}{3, 4, 7}Learn more about Mathematics here:https://brainly.com/question/26854035
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Someone please help me?
Answers
AP = BP
3x-4 = 2x +12
subtract 2x from each side:
x-4 = 12
add 4 to each side:
x = 16
now we know x, replace x with 16 in the equation for AP:
AP = 3(16) -4
AP = 48 -4
AP = 44 meters
Which of the following segments is a radius of O?
Please help
Answers
The segment that is a radius is
[tex]\bar{RO} [/tex]
EXPLANATION
A radius is any line segment from the center of a circle to the circumference.
From the above diagram, the center of the circle is O.
The points on the circumference are A, R S and T.
The only line from the circumference to the centre in the options above is the line segment RO.
The correct answer is B.
Note however that
[tex]\bar{AS}[/tex]
is a diameter, which is a special chord.
[tex]\bar{RA}[/tex]
is a chord.
[tex]
\bar{ST}[/tex]
is also a chord.
If the reserve rate is 6% and a bank receives a deposit of $14,000, how much of the $14,000 is the bank free to loan out?
Answers
Apex said $13160 was the right answer
The bank must keep 6% of the $14,000 deposit as a reserve, which amounts to $840. Therefore, it is free to loan out the remaining $13,160.
If the reserve rate is 6% and a bank receives a deposit of $14,000, the bank is required to keep 6% of that deposit as reserves. To calculate the amount the bank needs to keep in reserves, we multiply the total deposit by the reserve rate:
Reserve amount = Total deposit x Reserve rate
Reserve amount = $14,000 x 0.06 = $840
Now, to find out how much the bank is free to loan out, we subtract the reserve amount from the total deposit:
Amount available for loans = Total deposit - Reserve amount
Amount available for loans = $14,000 - $840 = $13,160
The bank can loan out $13,160 of the initial $14,000 deposit.
A total of 589 tickets were sold for a play. They were either adult tickets or student tickets. There are 61 fewer student tickets sold than adult tickets. How many adult tickets were sold?
HELLLPP ASAPPP
Answers
Student Tickets: 264
You can get this by setting adult tickets equal to x and student tickets equal to x - 61. Then you can set equal to 589 and solve for x.
An acrobat was launched toward a water tank, with an upward velocity of 48 feet per second. The launch point was 32 feet below the water level in the tank. Use the quadratic equation 0 = -16t2 + 48t – 32 to find how much time, t, it took for her to reach the water level in the tank.
Answers
Answer:
1 or 2 seconds
Step-by-step explanation:
Math papa
Answer:
B. 1 or 2 seconds
Step-by-step explanation:
ttm
Two apples and three peaches cost $1.65. three apples and two peaches cost $1.60. what is the cost of one peach
Answers
From the two statements we can create the following system of equations:
2a + 3p = 1.65
3a + 2p = 1.60
Since we want to know the cost of a peach, let's eliminate the "a" terms by creating opposites. The LCM for 2 and 3 is 6 so I will multiply the top equation by 3 and the bottom equation by -2. This will create opposites to cancel "a" terms.
3(2a + 3p = 1.65) → 6a + 9p = 4.95
-2(3a + 2p = 1.60) → -6a - 4p = -3.20
The result of adding → 5p = 1.75
The result of ÷ 5 → p = .35
This means one peach cost .35 or 35 cents
Number of apples = a
Number of peaches = p
Two apples and three peaches cost $1.65
⇒2a + 3p = 1.65
Three apples and two peaches cost $1.60
⇒3a + 2p = 1.60
System Equations :
[tex]\begin{cases}&2a + 3p = 1.65 ---- (1) \\&3a + 2p = 1.60 ---- (2)\end{cases}[/tex]
[tex]\begin{cases}&\text{Equation (1}) \times3: 6a + 9p = 4.95 ---- (1a) \\&\text{Equation (2}) \times2: 6a + 4p = 3.20 ---- (2a)\end{cases}[/tex]
Equation (1a) - (2a) :
[tex] \begin{aligned} &5p = 1.75 \\&p = 0.35&\end{aligned} [/tex]
Answer: $0.35
What is the equation for a line that passes through the points (-3,-3) and (6,21)?
Answers
[tex]\bf \cfrac{24}{9}\implies \cfrac{8}{3} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-3)=\cfrac{8}{3}[x-(-3)] \\\\\\ y+3=\cfrac{8}{3}(x+3)\implies y+3=\cfrac{8}{3}x+8\implies y=\cfrac{8}{3}x+5[/tex]
Graph the equations to solve the system Y equals 1/3 X +6 and why equals 1/3 X +4
Answers
y = (1/3) x + 6
y = (1/3) x + 4
We note that both lines have the same slope in this case given by:
m = 1/3
Therefore, the lines are parallel. As they are parallel, they are not cut at any point.
Thus, the system of equations has no solution.
Answer:
The system has no solution (parallel lines)
Following the formula: y=mx+b,
where:
m= slope
b=y-intercept
As observed in the given equations, they have the same slope which is equal to 1/3 but each have different y-intercept which is 6 and 4.
Note that two lines are parallel if their slopes are equal and they have different y-intercepts.
Upon graphing, it had seen that the two functions are parallel.
See attached picture for the graph.
The population of a town increased from 5,400 to 6,000 people. What was the percent of the increase?
Answers
percentage increase = 600/5400 x 100 = 11.11%
Answer: 11.11%
A professor wants to arrange his books on a shelf. he has 30 books and only space on the shelf for 20 of them. how many different 20-book arrangements can he make using the 30 books? this is an example of a problem that can be solved using which method?
Answers
The number of possible arrangements is
[tex]P\left(30,20\right)=\frac{30!}{\left(30-20\right)!\times 20!}=30,045,015[/tex]
There are 30,045,015 possible 20-book arrangements.
Answer: Total arrangement are 30045015
Given problem will be solved with help of combination.
Step-by-step explanation:
When we find the arrangement in which the order does not matter then we use combination,
Here, we have to find the possible arrangement in which order does not matter,
Thus, we will use combination to find the answer.
Here the total number of books = 30
A self contains, the number of book = 20,
Hence, the total arrangement of 20 books out of 30 books
[tex]=^{30}C_{20}[/tex]
[tex]=\frac{30!}{20!(30-20)!}[/tex]
[tex]=\frac{30\times 29\times 28\times 27\times 26\times 25\times 24\times 23\times 22\times 21}{10!}[/tex]
[tex]=\frac{4.9557887\times 10^{12} }{3628800 }=30045015 [/tex]