Answer:
He should plant 100 acres of corn and 400 acres of wheat.
Step-by-step explanation:
This problem can be solved by a siple system of equations.
]x denotes the number of acres of corn
y denotes the number of acres of wheat
Building the system:
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:
The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:
So, we have the following system
If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?
I am going to write y as a function of x in 1), and replace in 2). So:
means that 
Now, going back to 1:
He should plant 100 acres of corn and 400 acres of wheat.
Answer:
E(x) = 1.43 (Approx)
Step-by-step explanation:
Given:
Total number of camera = 7
Defective camera = 5
Sample selected = 2
Computation:
when x = 0
P(x=0) = 2/7 × 1/6 = 2/42
P(x=1) = [2/7 × 5/6] + [5/7 × 2/6] = 20/42
P(x=2) = 5/7 × 4/6 = 20/42
So,
E(x) = [0×2/42] + [1×20/42] + [2×20/42]
E(x) = 1.43 (Approx)
Answer:
48.95 percent (rounded)
Step-by-step explanation:
You're given the y-intercept, which is (0,5), so to complete the slope intercept form, you now need to find the slope. slope is the change in y over the change in x, so take points (4,-1) and (2,2) for instance and apply the formula; -1-2= -3 and 4-2=2, so the change in y is -3 and the change in x is 2. to find the slope, you divide change in y by change in x, which is -3/2. from here, you can gather that the slope intercept form is y= -3/2x + 5
Answer:
River D: 2780 River C: 2280
Step-by-step explanation:
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