Sandys friends ate 0, 2, 3, 4, 6, 6, and 7 pretzels. Sandy says the mean of the data is 4. Is Sandy correct?
2 answers:
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Given:
The equation is:
To find:
The missing value.
Solution:
We have,
...(i)
Taking left hand side, we get
Taking 3 common, we get
...(ii)
On comparing (i) and (ii), we get
Missing value = 3
Therefore, the missing value in the given equation is 3.
Let
Find an integrating factor:
Multiply both sides of the ODE by
The left side can be consolidated as a derivative:
Integrate both sides with respect to
where the right side can be computed with a simple substitution. Then
Back-substitute to solve for