A coin is tossed and a standard number cube is rolled. What is the probability that the coin shows head and the number cube show
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ANSWER
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EXPLANATION
For
We make y the subject to obtain,
We can easily graph this function, because we just have to transform the graph of by shifting the intercept up to
.
As for the straight line, ,
We find the intercepts as follows,
When .
When .
We plot the points and
.
We now draw the two graphs on the same graph sheet. The intersection of the two graphs gives the solution to be
or
See graph
it has only one solution
