Assuming the sheet is a square
see diagram
the length will be 20-2x
the width will be 20-2x
and the height will be x
the volume will be (20-2x)(20-2x)(x)
Since you have to move the decimal point the the right by 7 places to get the decimal point after the one. You must multiply by 1/10 seven times, which is the same as:
10^-7
Given:
The race percent of population is
White: 45%
Hispanic: 27%
Black: 18%
Asian: 7%
Other: 3%
Part a.
The university has 2,815 Hispanic out of the 20,250 total population.
This is equivalent to (2815/20250)*100 = 13.9%
This percentage is less than 27%, so Hispanics do not have proportional representation.
Answer: The Hispanic students do not have proportional representation.
Part b.
Let x = the extra number of Hispanic students needed for proportional representation of 27% or 0.27.
Then
(2815 + x)/20250 = 0.27
2815 + x = 20250*0.27 = 5467.5
x = 5467.5 - 2815 = 2652.5
This means that 2,653 extra Hispanic students are required for a population of 20,250 students.
Answer: 2,653 extra Hispanic students.
If the total volume of the ice cream exceeds the internal volume of the cone, then it will overflow.
Volume of icecream = 4/3 * pi * r^3 = 4/3*pi*(1)^3 = 4.189 cu. in.Volume of cone = 1/3 * pi * r^2 * h = 1/3*pi*(1)^2*5 = 5.236 cu. in.
Since Volume of cone > Volume of icecream, the cone will not overflow.
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