Describe the distribution of the data and if the mean or median would be a better measure of center for each. Include outliers.
1 answer:
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Answer:
200 pounds of Vigoro
300 pounds of Parker
Step-by-step explanation:
We are going to solve this problem by a system of equations.
I am going to say that is the number of 100 pound bags of Vigoro and
is the number of 100 pound bags of Parker.
With the problem's statements, we can build the system:
We need to find a mixture containing 112 pounds of nitrogen. A 100 pound bag of Vigoro contains 29 pounds of nitrogen, and a 100 pound bag of Parker has 18 pounds of Nitrogen. So:
We need to find a mixture containing 81 pounds of phosporic acid. A 100 pound bag of Vigoro contains 3 pounds of phosporic acid, and a 100 pound bag of Parker has 25 pounds of phosporic acid. So:
We need to find a mixture containing 26 pounds of potash. A 100 pound bag of Vigoro contains 4 pounds of potash, and a 100 pound bag of Parker has 6 pounds of potash. So:
Solving the system
We have the following system
I am going to solve this system by substitution. I am going to write as a function of
in equation 3) and replace it in equation 1).
So
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We are going to need 2 100 pound bags of Vigoro = 200 pounds of Vigoro
We are going to need 3 100 pound bags of Parker = 300 pounds of Parker
We now replace the values in the equation 2) to verify that the system is consistent.
The system is consistent, so the answer that we found is correct.