To calculate to volume of a rectangular prism you use the formula l × w × h = V
l, w, and h are the sides, and V is the volume
So... 24 × 10 × h = 2,880
h = 2,880 / 240
h = 12
Answer:
10
Step-by-step explanation:
Answer:
5 more than 30 trees should be planted, for a total of 40 trees per acre.
Step-by-step explanation:
Let x be the number of trees beyond 30 that are planted on the acre
The number of oranges produced = Oranges(x) = (number of trees) (yield per
tree)
We are given that For each additional tree in the acre, the yield is reduced by 7 oranges per tree
So, number of oranges produced =
=
=
The derivative Oranges'(x) =
100-20x
Substitute first derivative equals to 0
Using the second derivative test,
Oranges"(x) = -20
20 is negative,
So, this is the case of maximum.
Thus, 5 more than 30 trees should be planted, for a total of 40 trees per acre.
Answer:
The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150 indicated that the primary reason for setting up the plan was tax related.
This means that
90% confidence level
So , z is the value of Z that has a p-value of , so .
The lower limit of this interval is:
The upper limit of this interval is:
As percent:
0.6996*100% = 69.96%
0.8004*100% = 80.04%.
The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).
A. There is one solution. The solution is where the lines intersect. Because both are linear and do not have the same slope, they will only cross once.
B. The solution is (3,4) since this is the coordinate at which the two lines intersect.