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.
Answer:
Hello
Step-by-step explanation:
Answer:10.2 inches
Step-by-step explanation:
we know that
In this problem we have two cases
First case
The given lengths are two legs of the right triangle
so
Applying the Pythagoras Theorem
Find the length of the hypotenuse
substitute
Second case
The given lengths are one leg and the hypotenuse
so
Applying the Pythagoras Theorem
Find the length of the other leg
substitute
Find the difference between the two possible lengths of the third side of the triangle
so
Answer:
0.68
Step-by-step explanation:
Given :
Mean = 67
Standard deviation = 17
Probability that X is between 50 and 84
According to the empirical rule :
1 standard deviation from the mean = 68%
2 standard deviations from the mean = 95%
3 standard deviations from the mean = 99.7%
Evaluating the number of standard deviations from the mean:
50 = 67 - 17 = 1 standard deviation
84 = 67 + 17 = 1 standard deviation
Hence ;
50 < X < 84 is 1 standard deviation from the mean which is 68%
Hence, Probability that x is between 50 and 84 is 0.68