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3. Quick maths.

I spent some time working in a factory that made car parts recently and it is a good example of the different kinds of averages. This factory received about 100 orders a week. We could ship roughly 30 of ...

So what I would do first, would be to write the probability of chosing each counter out of the  bag. For example red is 3/6 => 1/2, green is 2/6 => 1/3, and blue is 1/6.

Then 5a => 1/6 is ...

We start by letting yp = ax+b, as suggested, and finding the derivative yp' = a. Substituing into ODE  (by way of matching coefficients) gives a pair of simulataneous (algebraic) equations:

(1) 2a=...

This might seem like an obvious question and the instinctive urge is to disregard it entirely. Perhaps you would think "well that's silly, it's just not!"

Well, that's the intention of th...