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In order to answer this question, we must transform this equation for a circle into the general form of an equation of a circle; namely something like (x-a)²+(y-b)²=r². On...

To solve the equation in the form (ax + b)(x + c):

Method 1

1. Rewrite the x term as the sum of 2 different x terms. Start by multiplying the x^2 term and the final number term...

To find out how much Charlie spends in total, you have to figure out how much he spends on each type of thing, and then add them together. To find how much he spends on each kind of thing, you have to mul...

Like when there are two unknowns, the best way to solve this kind of problem is to rearrange and substitute, but because there are three unknowns, it's a bit more fiddly. To solve this you want to pick an...

a) at most 960 ml

Let X be the volume of liquid in a particular bottle, then we want to find P(X <= 960). We first need to transform from X to Z (to the standard normal distrib...