Answers
A quadratic model for the data is y = -0.0076x² + 0.6915x + 14.711.
The fuel economy at 80 mph is 21.39.
How to determine the linear regression equation and correlation coefficient?In this scenario, the speed (x) would be plotted on the x-axis of the scatter plot while the fuel economy (y) would be plotted on the x-axis of the scatter plot.
By critically observing the scatter plot (see attachment) which models the relationship between the speed (x) and fuel economy (y), a quadratic model for the line of best fit is given by:
y = -0.0076x² + 0.6915x + 14.711
When the speed (x) = 80 mph, the fuel economy (y) is given by;
y = -0.0076(80)² + 0.6915(80) + 14.711
y = 21.39
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Related Questions
can someone help me with this
Answers
Step-by-step explanation:
so it starts with
182 = 182 × 3 / p
as the price is inversely related to D.
(a)
so, in general
D = 182 × 3/p = 546/p
(b)
D = 546/3.25 = 168 bags
if the price increases to $3.25, then they will sell only 168 bags.
I am sure, the function will not stay linear for every value of p. for example, if they increase the price to $546 per bag, they would still sell 1 bag. but I am certain, they would fall to 0 sold bags much, much earlier than that ...
with regard to promoting standards of excellence, lafasto and larson (2001) identified three rs that help improve performance: require results, review results, and ______.
Answers
With regard to promoting standards of excellence, Lafasto and Larson (2001) identified three Rs that help improve performance:
require results, review results, and Reward Results.What did the Larson and LaFasto 1989 study capture?
The LaFasto and Larson Model investigated team effectiveness. It is founded on the premise that, while individuals might be highly competent and talented, teams solve the most challenging issues.
It doesn't matter how skilled an individual is if they can't operate as part of a team.
They studied the traits of 75 highly successful teams. They discovered that high standards of excellence were a critical component in team performance.
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Seven more than the product of a number and 8 is equal to 6
Answers
Answer:
Step-by-step explanation:
7>4n=6 or 7>4+n=6
If -26+z=15,what is the value is z?
Answers
Answer: 41
Step-by-step explanation:
-26+z =1 5
z= 15+26
z= 41
Answer:
z = 41
Step-by-step explanation:
-26 + z = 15. | + 26
-26 + z + 26 = 15 + 26
z = 41
How high would the rent have to be to qualify as an outlier
Answers
Answer:
1500+
Step-by-step explanation:
100 (POINTS) The two dot plots below show the heights of some sixth graders and some seventh graders:
Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there is 1 dot for the first mark, there is 1 dot above the second mark, there is 1 dot above the third mark, there is 1 dot above the fourth mark and there are two dots above the sixth mark.
The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 1.7. Approximately how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders? (Round all values to the tenths place.)
1.2
1.4
2.4
2.8
Answers
Answer:
2.4
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
i did the test got it right
The line segment joining the points P(-3,2) and Q(5,7) is divided by the y-axis in the ratio:
Answers
Answer:
Step-by-step explanation:
The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.
To find the equation of the line, we need to find the slope, which can be calculated using the formula:
m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.
In this case, the coordinates are:
P = (-3, 2) and Q = (5, 7)
So, the slope is:
m = (7 - 2) / (5 - (-3)) = 5 / 8
Next, we can use either of the points to find the y-intercept. Let's use point P:
b = y - mx, where y and x are the y and x coordinate of the point, respectively.
In this case,
b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8
So, the equation of the line joining the points P and Q is:
y = (5/8)x + 89/8
Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.
So, we have:
0 = (5/8)x + 89/8
Solving for x, we get:
x = -(89/8) / (5/8) = -89 / 5
This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.
Let's call the point of intersection with the y-axis R. The distances are then:
PR = (3, 2) and QR = (5 - (-89/5), 7)
The ratio of the distances is then:
PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47
So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.
If you shift the linear parent function, f(x) = x, down 6 units, what is the
equation of the new function?
Answers
Look at the figure. Using only the markings given , is there enough information to prove that the figure is a parallel?
Answers
this is because the lines don’t touch, meaning they are parallel
Find g(x), where g(x) is the translation 5 units right of f(x)= – 7(x–5)2+3.
Answers
g(x) is the translation 5 units right of f(x)= – 7(x–5)²+3.
A function called f(x) accepts an input of "x" and outputs "y". You can write it out as y = f. (x).‘x’ is a variable that represents an input to a function.
To translate a function, we need to replace x with (x-a) in the function f(x) where ‘a’ is the amount of translation.
To translate a function 5 units right, we need to replace x with (x-5) in the function f(x).
So, g(x) = f(x-5) = -7(x-5-5)²+ 3 = -7(x-10)²+ 3.
Therefore, g(x) is the translation 5 units right of f(x)= – 7(x–5)²+3.
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Nathan is driving to a concert and needs to pay for parking. There is an
automatic fee of $8 just to enter the parking lot, and when he leaves
the lot, he will have to pay an additional $2 for every hour he had his
car in the lot. How much total money would Nathan have to pay for
parking if he left his car in the lot for 6 hours? How much would
Nathan have to pay if he left his car in the lot for t hours?
Cost of parking for 6 hours:
Cost of parking for t hours:
Answers
Answer:
Nathan would have to pay 20 dollars if he parked for 6 hours.
2t+8
Step-by-step explanation:
Please help! Please explain as well!
Answers
Answer:
x=10 84 cm
Step-by-step explanation:
We know that a square has 4 sides, and each side length is (2x+1). So we need to distribute the 4.
4(2x+1)
8×+4 is the perimeter for the square.
A triangle has 3 sides, and each side length is (3x-2). So we need to distrbute the 3.
3(3x-2)
9x-6 is the perimeter of the triangle.
We know that these perimeters are equal to each other. Then we just solve for x.
8x+4=9x-6
10=x
Plug 10 into the square equation.
8(10)+4
84 cm
Answer:
x = 10
Square perimeter = 84cm
Triangle perimeter = 84cm
Step-by-step explanation:
Hello!
First, we make an equation to find the perimeter of each shape
For a square we multiple one side by 4
(2x + 1) * 4
Simplify
8x + 4
An equilateral triangle means each side is equal so we can multiply one side by 3
(3x - 2) * 3
Simplify
9x - 6
The problem states they are equal to each other so we can show that
8x + 4 = 9x - 6
Now we can solve for x
Subtract 8x from both sides
4 = x - 6
Add 6 to both sides
10 = x
Now we can put x into our original equations for the perimeters
Square
8(10) + 4
80 + 4
84cm
Triangle
9(10) - 6
90 - 6
84cm
Hope this Helps!
Determine the values of a and b which would result in the f(x) being differentiable at x=4
Answers
The function needs to be continuous at x = -4, then the relation between a and b must be:
a = (48b + 5)/-12
One possible solution is b = 0, a = -5/12
How to find the values of a and b?The function will only be differentiable if it is continuous.
Here we have a jump at x = -4, the two equations before and after are:
3ax + 7
3bx^2 - 2x + 4
These two must have the same value when x = -4, then:
3*a*(-4) + 7 = 3*b*(-4)^2 - 2*(-4) + 4
-12*a + 7 = 48b + 8 + 4
-12*a + 7 = 48b + 12
-12*a - 48b = 12 - 7
-12a - 48b = 5
isolating a we get:
a = (48b + 5)/-12
If we select b = 0 (we could select any value of b) then:
a = (48*0 + 5)/-12 = -5/12
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4x+5(7x-3)=9(x-5)
x=???
Answers
Answer:
i think its 3 im not sure
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
Given equation,
→ 4x + 5(7x - 3) = 9(x - 5)
Now the value of x will be,
→ 4x + 5(7x - 3) = 9(x - 5)
→ 4x + 35x - 15 = 9x - 45
→ 39x - 15 = 9x - 45
→ 39x - 9x = -45 + 15
→ 30x = -30
→ x = -30/30
→ [ x = -1 ]
Hence, the value of x is -1.
In 8 hours of training, Jenny walked 32 kilometers. During training, Jenny's average rate of speed was _______ kilometers per hour.
Answers
Answer:4
Step-by-step explanation:
please brainliest
Which of the following is the fourth vertex needed to create a rectangle with vertices located at (−15, 3), (−15, −6), and (25, −6)?
(−6, 25)
(−25, −3)
(6, −25)
(25, 3)
Answers
The missing fourth vertex needed to create a rectangle is (25, 3) option D.
Define the term vertices?Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.
Here, the width of one side of the rectangle;
⇒ +3 - (-6) = 9 unit (left side y-coordinates)
Similarly the length of the rectangle;
⇒ 25 - (-15) = 40 unit (up-side x-coordinates)
Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)
So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:
⇒ (25, -6+9) = (25, 3)
⇒ (-15+40, 3) = (25, 3)
Therefore, the missing fourth vertex is (25, 3)
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Your cell phone costs $50 a month plus $0.25 for each text message, (t). How much would your monthly bill be if you sent 40 text messages?
Your total monthly bill would be $____
if you sent 40 text messages.
Answers
Answer:
$60
Step-by-step explanation:
40 text messages × .25 each = $10. Plus the $50 per month is $60.
Answer:
it should be $60 a month
I need help with this question.
Answers
Answer:
I think the answer is the fourth option
(a) Graph y=200(0.2)0.3x for x=0 to x=10.(b) What is the initial value of this function (the y-value when x=0)?(c) What is the limiting value of this function?
Answers
a)
To graph the function:
\(y=200(0.2)^{0.3x}\)we need to give the x variable some values to get y, then we will have the point (x,y). For example if x=0 we have:
\(y=200(0.2)^{0.3\cdot0}=0\)then we have the point (0,200).
If x=1 then:
\(y=200(0.2)^{0.3\cdot1}=123.4067\)then we have the point (0,123.4067).
With this procedure we have the following table:
Plotting this points in the plane and joining them with a smooth line we have:
Comparing with the option given we conclude that the correct graph is B.
b)
From the table above we conclude that the initial value of the function is 200.
c)
From the graph we notice that as x grows the value of y gets smaller, this means that the limiting value will be zero.
find the line of best fit for the set of data
Answers
The line of best fit for the set of data in this problem is given as follows:
y = 0.613x + 4.142.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.
The points for this problem are given as follows:
(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).
Inserting these points into a calculator, the line of best fit is given as follows:
y = 0.613x + 4.142.
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A gumball machine has 2,120 gumballs. Mike
bought 20 gumballs, which were dispensed
randomly. The results are in the table below.
How many of each color gumball do you predict
are in the machine?
Blue
5
Red
1
Green
8
Pink
4
Yellow
2
Answers
Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.
How to calculate the amount of gum of each color that was in the machine?To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:
20 gums = 5 blue gums2,120 gum = ? blue gum2,120 * 5 / 20 = 530 blue gumballs20 gums = 1 red gums2,120 gum = ? red gum2,120 * 1 / 20 = 106 red gumballs20 gums = 8 green gums2,120 gum = ? green gum2,120 * 8 / 20 = 848 green gums20 gums = 4 pink gums2,120 gum = ? pink gum2,120 * 4 / 20 = 424 pink gumballs20 gums = 2 yellow gums2,120 gum = ? yellow gum2,120 * 2 / 20 = 212 yellow gumballsLearn more about gumballs in: https://brainly.com/question/428165
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I don’t understand what I really have to do
Answers
what is the volume of the pyramid shown below? 6 11 11
A. 363 cu. units
B. 396 cu. units
C. 726 cu. units
D. 242 cu. units
Answers
the figure below shows a parallelogram abcd. side ab is parallel to side dc, and side ad is parallel to side bc: a quadrilateral abcd is shown with the two pairs of opposite sides ad and bc and ab and dc marked parallel. the diagonals are labeled bd and ac. a student wrote the following sentences to prove that parallelogram abcd has two pairs of opposite sides equal: for triangles abd and cdb, alternate interior angle abd is congruent to angle cdb because ab and dc are parallel lines. similarly, alternate interior angle adb is equal to angle cbd because ad and bc are parallel lines. db is equal to db by the reflexive property. therefore, triangles abd and cdb are congruent by the sas postulate. therefore, ab is congruent to dc and ad is congruent to bc by cpctc. which statement best describes a flaw in the student's proof? angle abd is congruent to angle cbd because they are vertical angles, not alternate interior angles. angle abd is congruent to angle cbd because they are corresponding angles, not alternate interior angles. triangles abd and cdb are congruent by the sss postulate instead of the sas postulate. triangles abd and cdb are congruent by the asa postulate instead of the sas postulate.
Answers
The phrase that best completes the student's proof is ASA postulate
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent to each other, according to the ASA (Angle-Side-Angle) postulate.
ABCD is a parallelogram in this case.
That is to say, AB, CD, and AD BC.
We must demonstrate that the parallelogram ABCD has two pairs of opposite sides that are equal, namely AB CD, and AD BC.
The diagonal of the parallelogram ABCD is represented by BD ( shown in the below figure)
As a result, in ABD and CBD
ABCD CDB ( alternative interior angles made on parallel lines by the same transversal BD)
BD ≅ BD ( Reflexive ) ( Reflexive )
Furthermore, ADB CBD ( alternative interior angles made on parallel lines by the same transversal BD)
In this case, two angles and the included side of triangle ADB are congruent with two angles and the included side of triangle BCD.
As a result, according to the ASA postulate of congruence,
CBD for ABD
As a result, CPCTC, AB CD, and AD BC.
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NEED HELP WILL GIVE BRAINLIEST AND WILL RATE. Show work and do all 3. :) (Do the one highlighted)
Answers
(4ˣ/7)ˣ is not an exponential function, because the exponent is applicable to all the fractions.
Which of the following is not an exponential function?To determine which option is not an exponential function, we will apply general equation of an exponential function.
f(x) = aⁿ
where;
a is the base of the functionn is the exponentSo from the given options;
(³/₅)ˣ is an exponential function, because ³/₅ is the base while x is the exponent.
4ˣ is an exponential function, because 4 is the base while x is the exponent.
(4ˣ/7)ˣ is not an exponential function, because the exponent is applicable to all the fractions, so there is no one base.
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Simplify: (ab)³⁷• (ab)⁴²•(ab)⁵¹
need explanation plss :)
Answers
\(\huge \bf༆ Answer ༄\)
Let's solve ~
\( \sf(ab) {}^{37} \times (ab) {}^{42} \times (ab) {}^{51} \)If the numbers with same same base are multiplied them, their exponents add up ~
\( \sf(ab) {}^{37 + 42 + 51} \)\( \sf(ab) {}^{130} \)And we can also separate the base (when multiplied) to different bases with having same exponent as the original one.
\( \sf{a {}^ {130} }{ \times b {}^{130} }\)======== \(\huge{\bf{Answer :}}\) ========
\( \bold{ \underline{Given : -}}\)
(ab)³⁷ • (ab)⁴² • (ab)⁵¹\( \: \)
\( \bold{ \underline{To \: Find : - }}\)
Find to result!\( \: \)
\( \bold{ \underline{Solution : - }}\)
Did you know that there are exponential properties of matter such as the following :
\( \sf {a}^{m} \times {a}^{n} = {a}^{m + n} \)Soo :
\( \sf \longmapsto (ab {)}^{37} \times {(ab)}^{42} \times {(ab)}^{51} \)
\( \sf \longmapsto {(ab)}^{37 + 42} \times {(ab)}^{51} \)
\( \sf\longmapsto (ab {)}^{79} \times {(ab)}^{51} \)
\( \sf \longmapsto {(ab)}^{79 + 51} \)
\( \sf \longmapsto \boxed { \bold{ \red{ {(ab)}^{130}}}} \)
\( \: \)
\( \bold{ \underline{ \: Conclusion : -}}\)
\( \sf( {ab)}^{37} \times {(ab)}^{42} \times {(ab)}^{51} = \bf {(ab)}^{130} \)\( \: \)
I hope this helps!
Select the correct answer.
Energized and Powercell are companies that manufacture alkaline batteries. Both companies claim that their batteries last longer than the average alkaline battery.
Anju decided to conduct a test to see whether their claims were true. He purchased 30 Energized batteries, 30 Powercell batteries, and batteries of other brands to conduct the test. The purchase selection was random, and the test was unbiased. The batteries that lasted longer than the average of all the batteries were stated to have passed the test. The batteries that did not last as long as the average of all the batteries were stated to have failed the test. The results for Energized and Powercell are displayed in this table.
Answers
Answer:
both manufactures' claims are true because most of there batteries lasted longer than the average alkaline battery.
Step-by-step explanation:
PLATO USERS
Answer:
Both companies claim that their batteries last longer than the average alkaline battery is true .
Step-by-step explanation:
Both companies claim that their batteries last longer than the average alkaline battery is true because most of the batteries of these companies did passed the test to last longer.
As we can project from that table given that around 77% Energized batteries passed the test and around 67% powered cell batteries passed the test.
hence we can also inferred from here that Energized batteries are more consistent.
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Find the 3rd term in the expansion of ( 5 � − 7 � ) 3 (5x−7y) 3 in simplest form.
Answers
The third term in the expansion of the expression (5x - 7y)³ is 735xy².
Given expression is,
(5x - 7y)³
We have to expand this.
We know that,
(a + b)³ = a³ - 3a²b + 3ab² - b³
Using this,
(5x - 7y)³ = (5x)³ - (3 × (5x)² × 7y) + (3 ×(5x) × (7y)²) - (7y)³
= 125x³ - (3 × 25x² × 7y) + (3 × 5x × 49y²) - 343y³
= 125x³ - 525x²y + 735xy² - 343y³
Here the third term is 735xy².
Hence the third term is 735xy².
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5, 20, 80, 320, 1,280what recursive function would describe the number of bacteria observed at the nth hour
Answers
Notice that the common factor between the terms of the sequence is r = 4, then, a formula for the recursive function is:
\(\begin{gathered} a_n=a_1r^{n-1} \\ a_1=5 \\ r=4 \\ \Rightarrow a_n=5\cdot4^{n-1} \end{gathered}\)and the recursive function can be found from this formula:
\(\begin{gathered} a_n=a_{n-1}\cdot r \\ \Rightarrow a_n=4a_{n-1} \end{gathered}\)help quick!!! plsssss
Answers
Since an actual mosquito is about 1.6 cm, the scale factor of the diagram is equal to 2.
What is scale factor?In Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (actual figure):
Scale factor = Dimension of image (new figure)/Dimension of pre-image (actual figure)
Conversion:
1 cm = 10 mm
1.6 cm = 1.6 × 10 = 16 mm.
Substituting the given parameters into the scale factor formula, we have the following;
Scale factor = 32/16
Scale factor = 2.
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