Can relative maximums and minimums be at the endpoints? I know global max/min can be at endpoints but I'm not sure about relativ
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The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
<h3>How to determine the volume?</h3>The complete question is added as an attachment
From the attached image, we have:
Length = 12 - 2x
Width = 7 - 2x
Height = x
The volume is calculated as:
Volume = Length * Width * Height
Substitute the known values in the above equation
Volume = (12 - 2x) * (7 - 2x) * x
This gives
Volume = x(12 - 2x)(7 - 2x)
Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
Read more about polynomial at:
#SPJ1
Answer:
- Mean = 26.24
- Median = 27
- Mode = 32
- Range = 38
Step-by-step explanation:
Plotting the original data from leaf plot
<em><u>Finding Mean:</u></em>
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:
= 26.24
Therefore, the range = 26.24.
<u>Finding Median:</u>
The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.
Ordering the data from least to greatest, we get:
9 11 12 12 14 17 25 25 27 32 32 32 33 35 41 42 47
So, the median is 27 .
<em><u>Finding Mode: </u></em>
The mode of a set of data is the value in the set that occurs most often.
Ordering the data from least to greatest, we get:
9 11 12 12 14 17 25 25 27 32 32 32 33 35 41 42 47
We see that the mode is 32.
<em><u>Finding Range:</u></em>
The range is the difference between the highest and lowest values in the data set.
Ordering the data from least to greatest, we get:
9 11 12 12 14 17 25 25 27 32 32 32 33 35 41 42 47
The lowest value is 9.
The highest value is 47.
The range = 47 - 9 = 38