This is an example of a piecewise defined function. It means that the function has not a unique formula to represent it, but it depends on "where" you want to compute it.
So, if you choose any input 
, you have two alternative:
- If
(i.e., if you've chosen any input that is not 3), the output will be the opposite of the input you've chosen (
) - If
, the ouput will be -1.
So, let's forget about 
for a moment. For any input you choose, the answer is 
. The graph of this function is the bisector of the second and fourth quadrant.
Now remember that there is our special case: you have to "carve a hole" in our line, at , and assing to this point the value -1, instead of what we would expect, i.e. -3.
So, the graph of this function is the line , except for one point (), where we reassign the value to be -1.
It is usually noted that correlation does not imply causation, but there are some correlations which are causation as well.
A correlation is when there is a relationship between two variables while causation is when the outcome of one variable affects the outcome of the other variable.
From the first option, though there may be a positive relationship between sales of jeans and sales of slacks, but the purchase of jeans does not mean that you have to purchase a slack, thus, there is no causation.
For the second option, though there may be positive relationship between <span>the number of aisles and the number of products in a supermarket, but a supermarket can have many aisles with few products, i.e. many aisles does not automatically imply many products, thus, there is no causation.
For the third option, though there may be a positive relationship between </span><span>the number of swimmers and the number of sunbathers at a beach, but all swimmers in a beach are not sunbathers and all sunbathers are not swimmers. Thus, a swimmer does not imply a sunbather and a sunbather does not imply a swimmer. Thus, there is no causation.
For the last option, it is generally known that the more you practice an activity, the better you get in that activity. Thus, there exist a relationship between </span><span>the number of hours spent practicing archery and the number of bull's-eyes an archer can hit and there also exist causation because the number of bull's-eye an archer can hit is directly dependent on the number of hours the archer spent practicing.
Therefore, the </span><span>correlation that is most likely a causation is </span><span>the positive correlation between the number of hours spent practicing archery and the number of bull's-eyes the archer can hit.</span>
Answer:
20
Step-by-step explanation:
So the answer is 20
Answer:
$25.20
Step-by-step explanation:
First, take the 50% off the sales price:
($48)*(-0.50) = -$24.
($48 - $24) = $24 sale price.
Tax on $24 is ($24)*(0.05) = $1.20
Add the price and sales tax:
$24 + $1.20 = $25.20
