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:
Step-by-step explanation:
7x - 6 = 12 - 2x
9x - 6 = 12
9x = 18
x = 2
7(2) - 6 = 14 - 6 = 8 AB
12 - 2(2) = 12 - 4 = 8 BC
8 + 8 = 16 AC
Answer:

Step-by-step explanation:
Option 1:
Using the following rule:

Put in our expression,
a = 2
n = 3
m = 2


Option 2:
Using the following rule:

Since our expression is the same as multiplying 2³ with itself, we can write it as a multiplication.

If we compare this with
, we can see that
a = 2
n = 3
m = 3 (in this case, n and m are equal)


Answer: 
Answer:
The cutoff sales level is 10.7436 millions of dollars
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

15th percentile:
X when Z has a pvalue of 0.15. So X when Z = -1.047.




The cutoff sales level is 10.7436 millions of dollars