From the given table, the year values, and prices, we have the following
equation and values;
(a) The least squares regression equation is; y ≈ 0.1316·x - 261.73
(b) The estimate of the price per gallon in 2030 is approximately $5.418
How can the equation and price be obtained from the table?(a) The coefficients of the least squares regression formula are
presented as follows;
[tex]a = \mathbf{\overline y - b \cdot \overline x}[/tex]
[tex]b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]
Entering the given values in MS Excel, we have;
[tex]\overline x[/tex] = 2005.1
[tex]\overline y[/tex] = 2.204
[tex]b = \dfrac{56.456 }{428.9} \approx 0.1316[/tex]
a = 2.204 - 0.1316 × 2005.1 ≈ -261.73
The least squares regression equation is therefore;
[tex]\underline{y =0.1316\cdot x - 261.73}[/tex](b) In the year 2030, we have;
The price, y ≈ 0.1316 × 2030 - 261.73 = 5.418
In the year 2030, the price per gallon will be approximately $5.418
Learn more about least squares regression here:
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Teacher takes about 25 minutes to make out a test for a mathematics class. How long will it take to make out tests for all five classes?
Answer:
2h 5min
Step-by-step explanation:
1 class: 25 min
5 classes: 25 x 5 = 125 min = 2h 5min
How do the measures of the angles of ABC compare with those of A'BC'when A'B'C coinddes wth the other three triangles? What can you say about the presenvation of the angle measurements of a shape during a rotation?
Answer:
The measure of each angle of abc is equal to the corresponding angle of a'b'c' when coincides with the other three triangles. The measures of the angles of the triangle are preserved as the figure rotates.
Step-by-step explanation:
someone helppp lol.
Answer:
dam thats wat yall learn in whatever grade u r ik highter for sure but dam im scared now
Step-by-step explanation:
On the diagram below, find the measure of each angle show all your work
Answer:
3
Step-by-step explanation:
from angles on a line = 180°
therefore
(14x + 70 + 20x +8)°= 180°
34x + 78 =180
34x = 180-78
34x= 102
x = 102/34
x= 3
Answer:
3
Step-by-step explanation:
!
NEED NOW!!! A bag of marbles can be shared equally amoung 6, 8, or 12 students with none left iver. What is the least ammount of marbles that can be in the bag?
Answer: the least amount of marbles would be 24 because it would be divided equally among the people , with none leftover.
Step-by-step explanation: if you had 6 people, each of them would have 4 marbles. if you had 8 people each of them would get 3 marbles. and if you had 12 people, each of them would get 2 marbles.
hope i could help :)
what is 4.6783 x 10 to the third power
4.6783x10^3 P.E.M.D.A.S. exponent before multiplication 10^3 =1000
1000x4.6783= 4,678.3
It takes Jamil 40 minutes to drive to work, plus or minus 8 minutes depending on traffic. What equation could be solved to find the shortest or longest times she might drive?
Answer:
Step-by-step explanation:
to find the longest it would be 40+8=48
to find the shortest it would be 40-8=32
What are the solutions for x when y is equal to 0 in the quadratic function
y = x2 +9x?
Answer:
C) x = 0 or x = - 9
Step-by-step explanation:
[tex]y = {x}^{2} + 9x \\ \\ plug \: y = 0 \\ 0 = {x}^{2} + 9x \\ \\ x(x + 9) = 0 \\ \\ x = 0 \: \: or \: \: x + 9 = 0 \\ \\ x = 0 \: \: or \: \: x = - 9 [/tex]
See picture for math work and answer.
A shirt cost $74.89 and the sales tax is 10.25%. How much will the shirt cost?
Answer:
cost for the shirt: $74.89
Sales tax(10.25%): 7.68
total: $82.57
Step-by-step explanation:
WILL GIVE BRAINLIEST FAST!! Will Give Brainliest if you show all the steps. 8x - 6 / 2 = x + 12
Solve for X
Answer: 15/7 2 1/7
Step-by-step explanation: First divide 8x-3=x+12 Then add 3 to both sides.
8x=x+15 Subtract x from both sides. 7x=15 Then divide again so 7/7 and 15/7. If you simplify it become 2 1/7
Answer:
x = 15/7
Step-by-step explanation:
Reduce the fraction with 2
8x - 3 = x + 12
Move variable to the left-hand side and change its sign
8x - x - 3 = 12
Move constant to the right-hand side and change its sign
8x - x = 12 + 3
collect like terms
7x = 12 + 3
Add the numbers
7x = 15
Divide both sides of the equation by 7
Solution: x = 15/7
Alternate form
x = 2 1/7, x = 2.142857
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Answer:
uihuvbuh ufsghiusgu 8y39 8y3yy894y87y48jhfjhjbvhjjavjlh ailhli
Step-by-step explanation:
will give brainliest answer
Answer:
true
true
false
Step-by-step explanation:
the triangle is equal throughout but not symmetrical.
The graph shows the amount of savings over time in Eliane's account. , Lana meanwhile, puts $35 each week into savings account. If they both begin with $0, who is saving at the greater rate The graph shows the amount of savings over time in 's account. , meanwhile, puts $ each week into savings account. If they both begin with $0, who is saving at the greater rate?
Answer: $37 for Eliane's account and $35 for Lana's account
Step-by-step explanation:
Find the distance between
the points (3,-2) and (6,4).
Answer:
(3,6)
Step-by-step explanation:
First you find the difference between the y values.
6 - 3 = 3.
Then the x values.
4 - -2 = 6
Now form a triangle and use a^2 + b^2 = c^2
3^2 + 6^2 = x^2
9 + 36 = x^2
x = √(45), or 3√(5)
The distance is 3√(5).
can somebody simply explain a unlinear functions???
Answer:
The graph of a linear function is a line. ... Linear functions have a constant slope, so nonlinear functions have a slope that varies between points. Algebraically, linear functions are polynomials with highest exponent equal to 1 or of the form y = c where c is constant. Nonlinear functions are all other functions.
nonlinear functions are functions that are not linear functions. Therefore, they have the opposite properties of a linear function. The graph of a linear function is a line. Thus, the graph of a nonlinear function is not a line.
Step-by-step explanation:
hannah bought a pack of 12 cookies for $3.50 from the grocery store. how many packs of cookies can she buy for $17.50?
Answer:
60 Cookies
Step-by-step explanation:
Set up a proportion
12 / 3.50 = x/ 17.50
Cross multiply
3.5x = 210
x = 60
The table represents a linear function.
What is the slope of the function?
-3
-2
3
х
-2
-1
0
1
2
у
-2
1
4
7
10
The slope of the table is 2
How to determine the slope?From the table, we have the following points:
(x,y) = (0, 4) and (1,7)
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute known values
m = (7 - 4)/(1 - 0)
Evaluate the differences
m = 3/1
Divide
m = 2
Hence, the slope of the table is 2
Read more about slopes at:
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Use the interactive number line to find -3.2 - 4.
Answer:
-7.2
Step-by-step explanation:
Since -3.2 is the first number, this will be the starting point in the number line.
Since we are subtracting, we are going to go 4 units to the left.
-3.2 - 4 = -7.2
Best of Luck!
Answer:
-7.2
Step-by-step explanation:
Roses are red
Violets are blue
I hate Edgenuit y
and so do you
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Answer:
they messed up on step one
Step-by-step explanation:
Answer:
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Step-by-step explanation:
Took the exam and got it right. Hope this helps! <3
Lerola and her younger sister Kiara are jogging around a circular track. Lerola jogs far enough from the center of the circle that her laps are half a mile long. Kiara runs around a circle whose circumference is as long as Lerola's. How far from the center of the circle is Kiara running, in feet? Use 3.14 for pi. 3 2There are 5280 feet in a mile.
Circumference of circular track, C = 0.5 miles = 0.5×5280 feet = 2640 feet.
We know, circumference in circle is given by :
[tex]C = 2\pi r[/tex]
( Here, r is radius i.e distance of centre from track )
Putting values in above equation :
2 × 3.14 × r = 2640
6.28 × r = 2640
r = 420.38 feet
Therefore, distance between centre and track is 420.38 feet .
Hence, this is the required solution.
simple algebra problem!!! please helpp i will mark you brainliest
Answer:
y = 2x+4Step-by-step explanation:
Find the slope in the given equation
[tex]y = 2x-8\\\\m = 2x\\\\(3,10)=(x_1,y_1)[/tex]
Substitute values into point-slope form
[tex]y-y_1=m(x-x_1)\\\\y -10=2(x -3)[/tex]
Simplify
[tex]y -10=2x -6\\\\y =2x -6+10\\\\y = 2x +4[/tex]
find the distance traveled in 15 seconds by an object traveling at a constant velocity of 20 feet per second
The distance covered by the object is 300 feet's.
We have - object traveling at a constant velocity of 20 feet per second.
We have to calculate the distance traveled in 15 seconds by the object.
What is the formula to calculate the distance covered by the object ?The distance covered by the object can be calculated using the formula -
d = v x t
Where -
v - it is the velocity of object
t - time taken by object
According to question -
v = 20 feet/sec
t = 15 seconds
Hence, the distance covered will be -
d = 20 x 15 = 300 feet's
Hence, the distance covered by the object is 300 feet's.
To solve more questions on distance travelled, visit the link below -
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Johanna’s mom paid $2.40 for a -pound box of cereal. How much would 1-pound of that cereal cost? Sorry I really don’t understand
Answer:
It would cost $2.40 because 1 pound is $2.40
Step-by-step explanation:
Find the distance between the two points.
8. (-1,0), (-8, 4)
Answer:
65
Step-by-step explanation:
How many solutions does the equation have?
4(2n - 4) + 3 +8n - 19
A. 0
B. 1
C. Infinitely many
Answer:
A
Step-by-step explanation:
Answer:
A. 0
Step-by-step explanation:
How many less students had 4 or more colds than 3 or lesscolds last winter?
WHAT IS THE AREA OF THE RECTANGLE?
Answer:
There is no picture of the rectangle.
The formula for solving the area of a rectangle or a square is L x W (Length times Width).
Hope this helps! :D
Answer:
soln
here let the followings
The length of rectangle is (L)
The breadth of rectangle is (B)
Now
Area of rectangle is = L×B
There are 13 sixth grade classrooms at LMMS. Each class has about 28 students.
About how many students are there in the whole sixth grade?
Answer:
364 students
Step-by-step explanation:
multiply 13 by 28
The ratio of a rectangle's length to its width
is 2 : 1. If the length is 14 cm, what is its
width?
Answer:
2/1 = 14/x
cross mulitply
2x=14
2x/2=14/2
x=7
The width is 7 cm
Step-by-step explanation:
i don’t understand anything someone please help me :/
Answer:
answer choice c=6
Step-by-step explanation:
since the question says that round to the nearest
mile then you would round 5.7 to get you 6 so
your answer is 6
Hope this help you :))
please give me branliest.