Answer:
Step-by-step explanation:
Sbakjxd
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
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
Learn more here:
https://brainly.com/question/14341438
Answer:
the person above me is correct.
Step-by-step explanation:
Find m angleA
A. 10
B. 20
C. 16
D. 14
Which equation can be used to find the missing leg in the triangle?
a2 + 202 = 162
202 + 162 = a2
a2 + 162 =202
16 + a2 = 20
Answer:
the person above me is correct C
Step-by-step explanation:
or a(2 + 16(2 = 20(2
The correct equation to the missing leg in the triangle is,
⇒ a² + 16² = 20²
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
The triangle is missing the b leg,
And, Two sides are,
c = 20 and a = 16
Hence, By using Pythagoras theorem we get;
⇒ a² + 16² = 20²
Thus, The correct equation to the missing leg in the triangle is,
⇒ a² + 16² = 20²
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
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Complete question is this,
Which equation can be used to find the missing leg in the triangle?
a² + 20² = 16²
20² + 16² = a²
a² + 16² =20²
16 + a² = 20
p.s the triangle is missing the b leg, and c=20 and a=16
A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 13+7.9n and 10+8.2n, where n is the number of smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger box? The larger box of cereal has as much cereal as nothing smaller boxes.
Answer: 10.5 small boxes
Step-by-step explanation:
Simplify 20 + 52 × 2.
Question 24 options:
40
90
1,250
70
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:)
Il
Topic: Parallel and Perpendicular Lines
Which of the following pairs of lines are perpendicular?
Select all that apply.
A. y = 3x + 4 and y Ź x – 8
B.y = x 8 and y= -x –
C. y = x + 2 and y
-x+3
D.y = 3x + 2 and y = 3x - 2
E.y=3 and x = 4
F. y = x 8 and y = -x + 3
Answer:
Step-by-step explanation:
If slope of two lines are equal, then they are parallel lines.
If product of the slope of two lines is (-1), then they are perpendicular lines.
C) y = x + 2
Slope m1 = 1
y = -x + 3
Slope m2 = -1
m1 * m2 = 1 * (-1) = -1
These are perpendicular lines.
D) y = 3x + 2
Slope = m1 = 3
y = 3x - 2
Slope = m2 = 3
Slopes are equal. So, they are parallel lines.
E)y= 3
This line is parallel to x -axis.
x = 4
This line is parallel to y-axis.
So, both lines are perpendicular to each other.
F) y = x + 8
slope m1 = 1
y = -x + 3
Slope = m2 = -1
M1 * m2 = 1 * (-1) = -1
So, These are perpendicular lines
Melissa has 885 cards and she wants to store them in envelopes. She has 35 envelopes. How many envelopes does she need
Answer:
I don't know
Step-by-step explanation:
I don't understand the point of this probem. It says that she has 35 envelopes best it doen't say how much can fit into each one. Maybe you ftogot some details pls reply in the comments.
i don’t understand this i’m confused.
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.
Answer:
i believe it's about 18.75% he only gained $600
8-pack jump ropes cost $10.48 what is the price of 1-pack of jump rope?
Answer:
1.31$
Step-by-step explanation:
Because I’m a teacher
Which list orders –3, 2, 5, –1 from least to greatest?
–1, 2, –3, 5
–1, –3, 2, 5
–3, –1, 2, 5
5, 2, –1, –3
Answer:
--3,-1,2,5
all numbers from the left side are smaller than the those on the right
Answer:
-3,-1,2,5
Step-by-step explanation:
What is the main idea or topic of a story called?
A. plot
B. theme
C. character
D. dialogue
Answer:
the answer is B. Theme. Hope this helps
Whats the answer to this question? ( I'll give Branliest! )
Answer:
21
Step-by-step explanation:
3^3 + 11(2) - 4(7) = 27 + 22 - 28
f=3,g=2,h=7
Now
3³+11(2)-4(7)27+22-2849-282123 - 8x + 5x + 1
Plz help
Answer:
-3x+24
Step-by-step explanation:
Answer:
Step-by-step explanation:
23-8x+5x+1=
We move all terms to the left:
23-8x+5x+1-()=0
We add all the numbers together, and all the variables
-3x=0
x=0/-3
x=0
I need this ASAP please!!!!
Answer:
I think B is the answer ..........
Tomika opened a bank account. She deposited $75 each
month for 10 months. Her bank charged her $3 each
month to use the account.
How much money is in Tomika's account after 10 months?
No links plsss
[tex]\bigstar\boxed{\large\sf\purple{\leadsto D ) \$720}}[/tex]
__________________________________________
[tex]\large\sf{\underline{Given:}}[/tex]
➠ Tomika deposited $75 each month for 10 months in her bank ➠ Her bank charged her $3 each month to use tha account[tex]\large\sf{\underline{To\:find:}}[/tex]
➜ How much money is in Tomika's account after 10 months?_______________________________________
[tex]\large\sf{\underline{Therefore:}}[/tex]
❒ Total amount of money deposited in 10 months :
[tex]\sf{\longrightarrow 75\times 10}[/tex]
[tex]\sf{\longrightarrow \$750}[/tex]
❒ Total amount of mony charged by the bank in 10 months :
[tex]\sf{\longrightarrow 3\times 10}[/tex]
[tex]\sf{\longrightarrow \$30}[/tex]
❒ Total amount of money left in Tomika's account after 10 months :
[tex]\sf{\longrightarrow 750-30}[/tex]
[tex]\sf{\longrightarrow \$720}[/tex]
Answer:
720
Step-by-step explanation:
I need some help with y = tan(x − π/4 ) + 1
thats the graph for it hope it helps
Add.
2+(-5)
Enter your answer in the box.
32•25 in subtraction
Answer:
7
Step-by-step explanation:
32 because all you need it to count it you can use your fingers too
-25
7
what is 2,665 divided by 36 witha remainder?
74 R28
So sorry if its incorrect!
X= - 3/4Y -5. Please put this in slope intercept.
y = - 4/3 x - 20/3
Step-by-step explanation:
x = - 3/4 y - 5 Move Terms
3/4 y = - 5 - x Divide both sides
y = - 20/3 - 4/3 x Reorder the terms
y = - 4/3 x - 20/3
Hint :- The slope intercept form of the line is [tex] y = mx + c [/tex] , where m is the slope of the line and c is y intercept .
Solution:-
Given equation to us ,
[tex]\implies x = \dfrac{-3}{4}y -5 [/tex]
Multiply both sides by 4 ,
[tex]\implies 4x = -3y -20 [/tex]
Add 20 to both sides ,
[tex]\implies 4x +20 = -3y [/tex]
Divide both the sides by -3 ,
[tex]\implies \dfrac{-4}{3}x-\dfrac{20}{3}= y [/tex]
Flip the equation ,
[tex]\implies y = \dfrac{-4}{3}x-\dfrac{20}{3} [/tex]
(-14)x=+56??????????????????????
What is the value of x + 4? 3x−6(x+2)=−3 Enter your answer in the box. x + 4 =
Select the correct answer. Which equation represents a line that is parallel to the x-axis, is perpendicular to the y-axis, and has a slope of 0? A. y=4/5x + 4/5 B. y=5/4x
C. y=4/5 D. x=5/4
Answer: D
Step-by-step explanation: i did this
Answer:
C. y = 4/5Step-by-step explanation:
The line parallel to the x-axis has same coordinate for any value of x. The slope is zero.
This line has the form:
y = b, where b is the y-intercept.The only option with similar form is C
Select all of the equations that are equivalent to 3 x − 12 = 19
A 3x-12=19
B 3x=7
C 3x=31
D 3x+31=0
E 5x-12=2x+19
F x-4=(19/3)
Answer:
X=2
Step-by-step explanation:
x
=
−
2
Explanation:
Collect terms in x on the left side of the equation and numeric values on the right side.
add 3x to both sides.
5
x
+
3
x
+
12
=
−
3
x
+
3
x
−
4
⇒
8
x
+
12
=
−
4
subtract 12 from both sides.
8
x
+
12
−
12
=
−
4
−
12
⇒
8
x
=
−
16
To solve for x, divide both sides by 8
8
x
8
=
−
16
8
⇒
x
=
−
2
As a check
Substitute this value into the equation and if the left side is equal to the right side for this value then it is the solution.
left side
=
(
5
×
−
2
)
+
12
=
−
10
+
12
=
2
right side
=
−
(
3
×
−
2
)
−
4
=
=
6
−
4
=
2
⇒
x
=
−
2
is the solution
Answer:
b Beacuse you can't times 3 by twelve but you can multiple 3times7+1 to get 19
The output of a function is 5 more than -2 times the input. Write and solve an equation to find the input when the output is 11
Answer:
17 is x=6.
Step-by-step explanation:k
find the 21st term of the AP 1,3,5,7,
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
Find the distance from roller coaster 1 to the swings please help
Answer:
Step-by-step explanation:
What is 9,403.053 rounded to the nearest hundredth
Answer:
9,403,100
Step-by-step explanation:
just round it to the nearest 100
-2.15-5j=-1.8+2.1j-7.45
J=
Answer:
j = 1
Step-by-step explanation:
-2.15+1.8+7.45 = 2.1j + 5j
7.1 = 7.1j
7.1/7.1 = j
