The maximum value that could be reached would be about 211.05 cubic inches.
The initial measurements of the box are:
Length: 17
Width: 12
Height: 0
Right now, the volume is zero. However, if we let the height equal 0 (the amount of the cut out), we can write the following equation for the volume.
Volume = (17 - 2x)(12 - 2x)x
If you graph this, you will find a maximum value of 211.05, keeping in mind that the cut out must be less than 6.
Answer:
If you're timed then I would say,
Yes this is a random study because the problem specifically states that the survey samples were randomly selected from populations.
I think that is the answer! However, if you have time I would wait for another person to answer as well because I'm terrible at statistics :(
The answer would be A, since the occurance is based purely on chance