Answer:
To maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.
Step-by-step explanation:
Given that a farmer plans to grow wheat and corn, and each acre of wheat requires 4 hours of labor and $ 20 of capital, and each acre of corn requires 16 hours of labor and $ 40 of capital, and the farmer has at most 800 hours of labor and $ 2400 of capital available, if the profit from an acre of wheat is $ 80 and from an acre of corn is $ 100, to determine how many acres of each crop should she plant to maximize her profit the following calculation must be performed:
Knowing that each acre of wheat has a 50% lower capital cost, 75% lower hours and a 20% lower profit, in principle this would be the crop to be planted to obtain better yields.
2400/20 = 120
120 x 4 = 480
120 x 80 = 9,600
Thus, to maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.
We know, speed = distance / time
Here, distance = 320 km
time = 4 hours
Just substitute their values,
v = 320/4
v = 80 Km/h
In short, Your Answer would be 80 Km/h
Hope this helps!
There are C. 1296 outcomes when you roll 4 dice. Hope this helps:)
Answer:
The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.
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 Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 11.4 - 0.2 = 11.2 reproductions.
The upper end of the interval is the sample mean added to M. So it is 11.4 + 0.2 = 11.6 reproductions.
The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.
