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extra words because i need 20 characters
Answer:
Interpolation refers to using the data in order to predict data within the dataset. Extrapolation is the use of the data set to predict beyond the data set.
Step-by-step explanation:
Extrapolation and interpolation are both used to estimate hypothetical values for a variable based on other observations. There are a variety of interpolation and extrapolation methods based on the overall trend that is observed in the data.
Answer: The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.
Step-by-step explanation: This is a optimization with restrictions problem.
The restriction is that the perimeter of the square cross section plus the length is equal to 108 inches (as we will maximize the volume, we wil use the maximum of length and cross section perimeter).
This restriction can be expressed as:
being x: the side of the square of the cross section and L: length of the package.
The volume, that we want to maximize, is:
If we express L in function of x using the restriction equation, we get:
We replace L in the volume formula and we get
To maximize the volume we derive and equal to 0
We can replace x to calculate L:
The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.
Answer: 3.9%
Step-by-step explanation:
First, subtract the two values:
16 - 15.4 = 0.6
Now divide this to the actual area:
0.6 / 15.4 = 0.038961039
Multiply by 100:
0.038961039 * 100 = 3.8961039
So the percent error is approximately 3.9%
Joe paints for 6 hours and john paints for 18