Answer:
21 ft by 28 ft
Step-by-step explanation:
To maximize the area, see the attached.
Perimeter will be 4l+3w which is equal to the fencing perimeter, given as 168
4l+3w=168
Making l the subject then
4l=168-3w
l=42-¾w
Area of individual land will be lw and substituting l with l=42-¾w
Then
A=lw=(42-¾w)w=42w-¾w²
A=42w-¾w²
Getting the first derivative of the above with respect to w rhen
42-w6/4=0
w6/4=42
w=42*4/6=28
Since
l=42-¾w=42-¾(28)=21
Therefore, maximum dimensions are 21 for l and 28 for w
Answer:
The margin of error is of 0.01.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 1.037.
The margin of error is of:

In which
is the standard deviation of the population and n is the size of the sample.
Standard deviation was 0.21.
This means that 
Sample of 450:
This means that 
What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?



The margin of error is of 0.01.
Answer:
121, 144
Step-by-step explanation:
√121= 11
√144= 12