Please help me ASAP

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:

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Answer:

the person above me is correct.

Step-by-step explanation:

Answer:

This cinder block has gravitational potential energy.

This cinder block has 15 484 joules of potential energy

Step-by-step explanation:

PE = mass*gravity*height and g= 9.8 m/s^2

PE = 79 * 9.8 * 20

PE = 15 484

Answer:

<

Step-by-step explanation:

Firstly, you can focus on the scientific notation and calculate which one is bigger. The left side is [tex]10^3[/tex] whereas the right side is [tex]10^4[/tex]. This shows that even if the number before this was bigger, the larger exponent of these two are the bigger number.

[tex]10^3 = 1000\\10^4 = 10000[/tex]

Meaning the correct sign would be the smaller than sign (<) as the right side is bigger than the left.

Hope this helps!

Answer:

D`

Step-by-step explanation:

The answer would be D because 40 is twice as much as 20. We also double the number of hours. So instead of having the ratio of 20:1 we have the ratio 40:2 (Miles : Hours)

lolol lfeofviponvfnfuibouigb

Answer:

y= -7x -27

Step-by-step explanation:

Answer:3.657 hope this helps

Answer:

None of the option is correct.

The right answer is 18/7 or 2.57

Step-by-step explanation:

The equation of the parabola is:

[tex]y = 24x^2[/tex]

---------------------------

The equation of a parabola of vertex (h,k) and focus (0,f) is given by:

[tex]y = 4p(x - h)^2 + k^2[/tex]

Thus, the equation of the parabola is:

[tex]y = 4p(x - h)^2 + k^2[/tex]

[tex]y = 4(6)(x - 0)^2 + 0^2[/tex]

[tex]y = 24x^2[/tex]

A similar problem is given at https://brainly.com/question/15165354

Answer:

7

Step-by-step explanation:

f(x) is the same thing as y. So y = 7 the only value of x that can give you 7 is 7.

The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.

The value of p = 2.

Given:

The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.

Comparing x - 1 with x - a then

Substitute the value of x = 1, then we get

[tex]$1^3+p*1^2-1-2 = 0[/tex]

[tex]$1^{3}+p \cdot 1^{2}-1-2=0$$[/tex]

Apply rule [tex]$1^{a}=1$[/tex]

[tex]$&1^{3}=1,1^{2}=1 \\[/tex]

[tex]$&1+1 \cdot p-1-2=0[/tex]

Multiply: p-1 = p

1+p -1-2=0

Group like terms

p+1-1-2 = 0

Add/Subtract the numbers: 1-1-2 = -2

p-2 = 0

Add 2 to both sides

p-2+2 = 0+2

Simplify

p = 2

Therefore, the value of p = 2.

To learn more about polynomial function

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Answer:

so x would be 3x+24

Step-by-step explanation:

see ya

Answer:

181 pounds

Step-by-step explanation:

You have already got the equation and solution which is great! The next step is simply a matter of replacing "x" with "7", because you know x=7.

After doing this, you will be left with the equation 160+3*7=195-2*7. We will look at the first part of the equation first. Using the rules of BIDMAS, you can calculate 3*7=21 and then 160+21=181. 181 is your final answer.

You can check that this is right by calculating the second part of the equation, and once done you should be left with 181. Again, using BIDMAS, you need to do 2*7=14 then 195-14=181. Now we know that everything is correct.

Answer: 33.125

Step-by-step explanation:

So you would do 200 divdied by 5 which is 40 then you would do 1,325 divided by 40 which is the anwser 33.125. If you did it another way let me know.

Answer:

31, 114 and 35

Step-by-step explanation:

I set up the equation as such:

(3x + 21) + (x + 4) + x = 180

then I combined like terms:

5x + 25 = 180

And then solving for x I get:

5x = 155

x = 31

And then plugged the solved x value into the terms to give:

(3(31) + 21) = 114

(31 + 4) = 35

alongside the found angle of 31.

Answer:

[tex]31^{\circ}, 35^{\circ}, 114^{\circ}[/tex]

Step-by-step explanation:

Let the first angle be [tex]x[/tex]. Then, the second angle is [tex](x+4)^{\circ}[/tex] and the third angle is [tex](3x+21)^{\circ}[/tex].

We know that the sum of the angles in a triangle will always be [tex]180^{\circ}[/tex]. So, we want to solve the equation for x: [tex](x)+(x+4)+(3x+21)=180[/tex].

Combining like terms on the left side gives [tex]5x+25=180[/tex].

Subtracting [tex]25[/tex] from both sides gives [tex]5x=155[/tex].

Dividing both sides by [tex]5[/tex] gives [tex]x=31[/tex].

So, the first angle is [tex]31^{\circ}[/tex].

The second angle is [tex]x+4=31+4=35[/tex], so the second angle is [tex]35^{\circ}[/tex].

The third angle is [tex]3x+21=3(31)+21=93+21=114[/tex], so the third angle is [tex]114^{\circ}[/tex].

So, the angles are [tex]\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}[/tex] and we're done!

The check that these angles work is left as an exercise to the reader.

Answer:

B and C

Step-by-step explanation:

Answer:

Use the Part = 1, as the numerator and use the Whole = 2, as the denominator. The part-to-whole fraction is 1/2

Meaning:

The Part is 1/2 of the Whole

Step-by-step explanation:

Answer:

f(-3)= 10(-3)^2 - 5(-3) - 3

       =90 + 15 -3

f(-3) = 102

Step-by-step explanation:

Answer: the 15th day

Step-by-step explanation:

Skip count by both numbers until you reach the first number they have

   in common;

     3, 6, 9, 12, 15, 28, 21, 24, 27, 30

     5, 10, 15, 20, 25, 30, 35, 40

9514 1404 393

Answer:

  x = 33

Step-by-step explanation:

The product of the lengths of the segments of one chord is the same as the product of segment lengths for the other chord:

  11×9 = 3x

  x = 99/3 = 33

Answer:

8 years

Step by step guide:

100,000 x 8 = 800,000

600,000 x 8 = 4,800,000

6,900,000 + 4,800,000 = 11,700,000

12,500,000 - 800,000 = 11,700,000

Answer:

(0, −3)

(2, −2)

(1, −4)

(6, 1)

(−3, 0)

Step-by-step explanation:

try plugging them in, might seem tedious, but it's the best way to practice. if you plug in a pair and the left side of the equation is less than or equal to 6, it's the right answer.

Answer:

160 is the total

Step-by-step explanation:

Number of tables with 2 chairs: 20

Number of tables with 4 chairs:  30

40% of the tables have 2 chairs at each table. In total, there are

40  chairs at these tables.

60%  of the tables have 4 chairs at each table. In total, there are  120  chairs at these tables.

Altogether, the restaurant has a total of  160  chairs

if is wrong i'm sorry

Answer:

1

Step-by-step explanation:

40 x 11 = 440

440 x 4 = 1760

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Answer:

The school would need to buy 12 containers for each student to receive 1 Twizzler.

Step-by-step explanation:

1250/105 = 11.9 or 12