Data were recorded for a car’s fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour (mph). Given the least-squares regression line, , what is the fuel efficiency for a speed of 60 mph?
3.65 mpg
33.90 mpg
36.52 mpg
38.55 mpg
Answers
The least-squares regression line equation gives the line that approximate the relationship between the variables in the fuel efficiency data
The fuel efficiency when the speed is 60 mph is approximately 38.55 mpg.
Reason:
The given least-squares regression line equation is presented as follows;
ln(Fuel Efficiency) = 1.437 + 0.541 × ln(speed)
Required:
The value of the fuel efficiency for a speed of 60 mph.
Solution:
The general form of the least-squares regression line equation is [tex]\hat y[/tex] = a + b·x
Where, in the current question, we have;
[tex]\hat y[/tex] = The predicted value = ln(Fuel Efficiency)
a = The y-intercept = 1.437
b = The slope = 0.541
x = The input value = ln(speed)
When the speed = 60 mph, we have;
ln(Fuel Efficiency) = 1.437 + 0.541 × ln(60) = 3.65204040816
Therefore;
[tex]Fuel \ Efficiency = e^{(1.437 + 0.541 \times ln(60))} \approx 38.55[/tex]
The fuel efficiency when the speed is 60 mph ≈ 38.55 miles per gallon
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Answer:
the person above me is correct.
Step-by-step explanation:
Related Questions
I NEED HELP WITH THIS MATH PROBLEM!!!!
Which expression is equivalent to 6f-1+7f-8?
13f+7 5f-1
-f+7 or -9+13f
Answers
Answer:
Step-by-step explanation:
6f - 1 + 7f - 8 = 6f + 7f - 1 - 8
= 13f - 9
Combine like terms. Like terms have same variable with same power.
Answer:
-9+13f
Step-by-step explanation:
6f+7f = 13f
-1 + -8= -9
So the sum of them is -9+13f
What’s 36.3 square root than nearest tenth !
Answers
6.0
Two rules for creating a pattern are given below.
Rule 1: Divide x by 4 to get y.
Rule 2: Subtract 18 from x to get y.
Which ordered pair, (x,y), works for both rules?
Choose 1 answer:
(Choice A)
(24,6)
(Choice B)
(30,12)
(Choice C)
(32,8)
Answers
Applying the rules, it is found that ordered pair (24,6), option A, works for both rules.
---------------------
The rule 1 is that y is x divided by 4, that is:
[tex]y_1 = \frac{x}{4}[/tex]
The rule 2 is that y is x subtracted from 18, that is:
[tex]y_2 = x - 18[/tex]
In item A, we have that the input x = 24, thus, the results of the expressions are:
[tex]y_1 = \frac{24}{4} = 6[/tex]
[tex]y_2 = 24 - 18 = 6[/tex]
In both cases, ordered pair (24,6), thus option A is the answer.
A similar problem is given at https://brainly.com/question/22103476
102division3-(5of2+9-7)+2division1/2
Answers
Answer:
18
Step-by-step explanation:
ewan ko d ko alam hihihihi
step 2: Multiply 5*2 then subtract 9-7 you get 12 (inside bracket)
step 3: Divide 1 by 2 by 2 you get 1
Answer:
34 ( 12) + 1 = 21
hope this helps have a great day
mark brainliest:)!!
Rewrite 2/9 + 5/12 with a common denominator
Answers
36 divided by 9 times 2 is 8
36 divided by 12 times 5 is 15
what is the value of x ? A. 4
B. 8
C. 12
D. 16
Answers
Answer:
16 or 12 but I would go with 12
because 16 just kinda flipped me off a little
Step-by-step explanation:
Instructions: Create a table of values for the given function.
Function: f(x) = -4x + 3
Answers
Answer:
Domain: {-2, -1, 0, 1, 2}
Range: {-5, -1, 3, 7, 11}
Step-by-step explanation:
Given the function, f(x) = -4x + 3:
We could simply substitute the given x-values into the function to solve for its corresponding y-values:
x = -2:
f(-2) = -4(-2) + 3
f(-2) = 8 + 3
f(-2) = 11
x = -1:
f(-1) = -4(-1) + 3
f(-1) = 4 + 3
f(-1) = 7
x = 0:
f(0) = -4(0) + 3
f(0) = 0 + 3
f(0) = 3
x = 1:
f( 1 ) = -4( 1 ) + 3
f( 1 ) = -4 + 3
f( 1 ) = -1
x = 2:
f(2) = -4(2) + 3
f(2) = -8 + 3
f(2) = -5
Attached is a screenshot of the table containing the same solution displayed in this post.
36 is 70% of what number
Answers
1. We have, 70% x x=36
2. Or 70/100x X = 36
3. Multiplying both sides by 100 and dividing both sides by 70,
We have X=36 x 100/70
X = 51.43
The scale of a map says that 8 cm represents 5 km. What distance on the map (in centimeters) represents an actual distance of 8 kilometers?
Answers
Answer:
40 cm
Step-by-step explanation:
What is the slope of the linear equation that has the values shown?
x y
-4 15
-2 9
0 3
2 -3
4 -9
Answers
Answer:
xy-29490
Step-by-step explanation:
q(x)= 1/2x - 3; q(x) =-4. Find the value of x
Answers
Answer:
[tex]q(x) =-5[/tex]
Step-by-step explanation:
I am solving this using Function Notation.
We are given:
[tex]q(x)= \frac{1}{2}x - 3[/tex]
While we are to find:
[tex]q(x) =-4[/tex]
In Function Notation, replace all the "[tex]x[/tex]" you see with the value you are given.
So, in this case,
[tex]q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}x - 3[/tex]
Would become
[tex]q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}(-4) - 3[/tex]
Now we can solve.
[tex]\frac{1}{2}(-4) - 3[/tex]
Use PEMDAS; Parenthesis first;
[tex]\frac{1}{2}(-\frac{4}{1})[/tex]
Cross divide: 1 cancels 1, -4 ÷ 2 = -2
Hence, we are left with
[tex](-2) - 3[/tex]
[tex]-5[/tex]
Therefore, the value of x is -5
Please i need help :(
Answers
Answer:
Distributive property, Inverse Operation, and Division property of Equality
Step-by-step explanation:
Because 8•x is 8x and 8x3 is 24 so then the equation would be 8x-24=-40 then you have to add 24 on both sides to the 8x by itself and also get -16 which you would divide 8 on both sides to get x= -2
.........................
Answers
Step-by-step explanation:
→ (1.2*(10^57)) + 1.2*(10^56) → 1.32e+57→ 1.32 × 10^57 1.(drag) → 1.32 and 2. (drag) → 57» 1.32e+57
15. Enter the missing digit to complete the subtraction statement
2 5 4, 8 1 7
- 1 3 _, 1 2 5
__________
1 1 8, 6 9 2
Answers
solve this inequality: 2x + 3 < 4x - 1
Answers
Answer: The answer to this problem x > 2
Interval Notation: (2,∞)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. Solve the Inequality for x 2x + 3 < 4x - 1
Choose the system for the graph
Answers
The answer will be A
A square with 20 meters shown as 12 centimeters, how long would a girder appear 15 meters long?
Answers
9.6 centimeters
EXPLANATION
20 meters = 12 centimeters
15 meters = x
20 meters/12 centimeters = 15 meters/x
20 meters/0,12 meters = 16 meters/x
1666.66 = 16 meters/x
x = 16 meters : 1666.66
x = 0.096 meters
x = 9.6 centimeters
#LearnWithEXO
Tyger buys a car for $3200. He renovates it and eventually sell it for $3800. Work out the percentage increase he sold the car for.
Answers
Answer:
i believe it's about 18.75% he only gained $600
The sum of a number and 13 is equal to -29. Find the number
Answers
Answer:
-16
Step-by-step explanation:
because -29+13 = -16
and if you add them both you get -29
Emily bought 412 appetizers and she invited 22 people to his party. Use
compatible numbers to estimate the number of appetizers each guest can
have.
OA) 10
OB) 15
OC) 20
OD 25
Answers
Simplify 20 + 52 × 2.
Question 24 options:
40
90
1,250
70
Answers
Step-by-step explanation:
Simplify:
20 + 52 × 2
=> 20 + 104
=> 124 Ans.
None of these.
Hey there!
20 + 52 × 2
= 72 × 2
= 72 + 72
= 144
Therefore, your answer SHOULD BE: 144
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please help me as soon as possible!
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Answer:
9.53 AU
Step-by-step explanation:
find the 21st term of the AP 1,3,5,7,
Answers
Answer:
are you Philippines ty points
Answer:
a₂₁ = 41
Step-by-step explanation:
The nth term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = a₂ - a₁ = 3 - 1 = 2 , then
a₂₁ = 1 + (20 × 2) = 1 + 40 = 41
At the aquarium there are 1350 sharks and 600 lion fish, for a total of 1950 fish all together. What is the ratio of fish to lion fish?
Answers
Answer:
2.25 Sharks to 1 lion fish
Step-by-step explanation:
1350 sharks / 600 lion fish =2.25
14,406 minus negative
627
Answers
Answer:
15033
Step-by-step explanation:
14,406 -(-627)
I Will give brainliest please help,
the choices here are just true or false
Answers
9514 1404 393
Answer:
TrueTrueFalseStep-by-step explanation:
Your calculator can answer these easily.
The first two are True; the last one is False.
Can you guys pls Help me on this
Answers
9514 1404 393
Answer:
a) x > -2
b) 7 ≤ y
c) n ≤ 20
d) g ≥ 19
e) -5 < w
Step-by-step explanation:
Recognize the following English translations:
"no more than" means "less than or equal to" (≤)
"at least" means "greater than or equal to" (≥)
With these translations and the ones shown in your figure, you have ...
a) x > -2
b) 7 ≤ y
c) n ≤ 20
d) g ≥ 19
e) -5 < w
PLS HELP QUICK
Write an
equivalent expression (simplify): 14h + 12 - 8h - 3
Answers
Answer:
22h - 9
Step-by-step explanation:
14h + 12 - 8h - 3
14h + 8h + 12 - 3
22h + 12 - 3
22h + 9
Solve for d.
2d = 6 + 3d
p.s the virus bots of brainly your not slick no one is falling for it
Answers
Answer:
D = -6
Step-by-step explanation:
2d= 6 + 3d
Subtract 3d from each side
-d =6
divide by a -1
d = -6
Answer:
d=(-6)
Step-by-step explanation:
2×(-6)=(-12)=6+(3×(-6))
Subtract 11 1/3 - 8 4/5
Answers
[tex]11 \frac{1}{3} - 8 \frac{4}{5} \\ \frac{34}{3} - \frac{44}{5} \\ \frac{38}{15} [/tex]
Solved ◇