Answer:
483 840 ways
Step-by-step explanation:
Let you and your friend be A and B.
With three people always between you two,, we have
Case 1: AxxxBxxxxx
Case 2: xAxxxBxxxx
Case 3: xxAxxxBxxx
Case 4: xxxAxxxBxx
Case 5: xxxxAxxxBx
Case 6: xxxxxAxxxB
So there is 6 ways of arranging you two through the line and for each of the six cases,
If you two remained in your positions, the rest can be arranged in 8! ways
Also for each case, you two can interchange your positions in 2! ways
Therefore,
The photographer can rearranged the line keep three people between you an your friend in
8! * 2! * 6 = 483 840 ways
She spent 5% of her money
So you have x, then you square it to get x^2, then you minus 2x, then +3
The inverse is going backwards so you -3 then +2x then square root x
So you get square root x + 2x -3
I'm pretty sure this is right, sorry if I'm wrong.
It seems like the details of what p and q <em>are </em>in this context aren't all that important; it's the logical structure of the statement "p⇒q" we need to look at. We read that logical statement as "p implies q," where p is our <em>hypothesis</em> and q is our <em>conclusion</em>. When we take the converse of a logical statement, we reverse the hypothesis and the conclusion. In this case, <em>p </em>wouldn't imply <em>q</em>, but <em>q </em>would imply <em>p</em> in the converse of p⇒q. We'd write this statement as:
q⇒p
13/52= 1/4 or .25
If you have a scientific calculator it really helps with simplifying numbers to the lowest term.
