Answer:
SEE BELOW
Step-by-step explanation:
V=a²h/3
=9² x 4/3
= 81 x 4/3
= 27 x 4
= 108 cm³
4.0833 sorry if i’m wrong luv did you want it in a fraction?
<u>Answer-</u>
A 95% confidence interval for the true percent of movie goers is 36.41% to 44.25%
<u>Solution-</u>
Given,
n = 600 (sample size)
x = 252 (number of people who bought)
Confidence interval = 95%, so z = 1.96
We know that,
where,
M = sample mean
Z = Z statistic determined by confidence level
SE = standard error of mean
Calculating the values,
from the tables
Putting all the values in the formula,
This is a problem of maxima and minima using derivative.
In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:
V = length x width x height
That is:
We also know that the <span>bin is constructed from 48 square feet of sheet metal, s</span>o:
Surface area of the square base =
Surface area of the rectangular sides =
Therefore, the total area of the cube is:
Isolating the variable y in terms of x:
Substituting this value in V:
Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:
Solving for x:
Solving for y:
Then, <span>the dimensions of the largest volume of such a bin is:
</span>
Length = 4 ftWidth = 4 ftHeight = 2 ftAnd its volume is:
1+1=2
You should know this by now....