Four squares with size of 6 centimeters should be cut to produce the container of greatest capacity.
<h3>
How to model and analyse an open box</h3>
a) The volume of the box (), in cubic centimeters, is equal to the area of the base (), in square centimeters, multiplied by the height of the box (), in centimeters. The area of the surface is the product of the width () and length (l), both in centimeters:
(1)
The volume of the container is cubic centimeters.
b) We need to apply first derivative analysis and second derivative analysis to determine the dimensions of the <em>maximum</em> squares to be cut:
<h3>FDT</h3>
<h3>SDT</h3>
Since , the <em>critical</em> value of leads to a maximum.
Four squares with size of 6 centimeters should be cut to produce the container of greatest capacity.
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Answer: The answer is B $3.36 per gallon
Step-by-step explanation:
P(x > 10.52) ≈ 0.289%
A suitable calculator can help with this.
Answer:
mean= 50
median = 40
mode 95
Step-by-step explanation:
Put the numbers in order from smallest to largest
7,12,13,40,88,95,95
The mean is adding up all the numbers and dividing by the number of numbers
(7+12+13+40+88+95+95)/7
350/7 = 50
The median is the middle number
7/2 = 3.5
Round up so the 4th number is the median
40 is the median
The mode is the most often which is 95 since is appears twice