Answer:
D. There is a nonlinear relationship between the speed and fuel efficiency.
Step-by-step explanation:
A desirable residual plot should show a horizontal band with points randomly distributed about the horizontal axis.
Leonard's plot is definitely nonlinear.
The residuals show a good fit to a parabola.
This suggests that the relation between speed and fuel efficiency may be parabolic.
Answer:
I think its b plz don't get mad I am not so sure
<span>Part I: Determining Dimensions
Arnold
has been given a 6 foot by 6 foot sheet of cardboard to make an open
box by cutting an equal size square from each corner, folding up the
resulting flaps, and taping at the corners. Your task is to label
dimensions on a sketch with the same size variable cut from each corner.
*You don't have to draw one, just explain what it would look like*
Answer:
Base of the box:
it is a square
side of the base = 6 foot - x - x. = 6 - 2x
Height of the box: x
Part II: Analyze
How does each variable expression relate to the length, width, and height of the box when folded?
Answer:
length = width = 6 - 2x
height = x
Part III: Extend your Findings
a. Based upon the variables you used in Part II, write a product for the volume.
Answer:
Volume = area of the base × height
Volume = (6 - 2x)² x
b. Expand the product to write a volume function.
Answer:
Volume = (36 - 24x + 4x²)x
Volume = 36x - 24x² + 4x³
c. What domain makes sense for the volume?
Answer:
Since x is a physical dimension x is greater than 0
Since the lenght of the cardboarc sheet is 6 and two squares are cut off, x has to be less than 3
So, the domain is (0, 3)
d. Guess and check values to find the size cut that produces a maximum volume.
*Six guesses are required*
Answer:
x </span>Volume = 36x - 24x² + 4x³
0.1 36(0.1) - 24(0.1)² + 4(0.1)³ = 3.36
0.5 36(0.5) - 24(0.5)² + 4(0.5)³ = 12.5
1.0 36 - 24 + 4 = 16
1.5 36(1.5) - 24(1.5)² + 4(1.5)³ = 13.5
2.0 36(2) - 24(2)² + 4(2)³ = 8
1.7 36(1.7) - 24(1.7)² + 4 (1.7)³ = 11.49
1.2 36(1.2) - 24(1.2)² + 4(1.2)³ = 15.55
Then you can guess that the maximum volume is pretty close to 16 and it is whenx is close to 1.
2.9
Answer: 30 minutes
Step-by-step explanation: First we can reduce the fraction 2/4 by dividing the numerator and the denominator by the greatest common factor of 2 and 4.
Since the factors of 2 are 1 and 2 and the factors of 4 are 1, 2, and 4, the greatest common factor of 2 and 4 is 2. So we divide the numerator and the denominator of 2/4 by 2 and we get the equivalent fraction 1/2.
Now we can change the question to say <em>1/2 of an hour is how many minutes?</em>
We know that 1 hour is equivalent to 60 minutes so half of 1 hour would be 30 minutes.
Therefore, 2/4 of an hour is 30 minutes.
