Step-by-step explanation: 27x3 + 125 is a sum of cubes. The first cube is 3x, since (3x)3 = 27x3. The second cube is 5, since 53 = 125. When factoring a sum of cubes in the form a3 + b3, the result is (a + b)(a2 – ab + b2). Therefore, since in this case, a is 3x and b is 5, the expression that is equivalent to 27x3 + 125 is (3x + 5)(9x2 – 15x + 25).
Outliers should be excluded when producing a trend line, regardless of the method used.
The student got a score of 100 with no sleep.
This data pair was a rare event.
If the outlier was included, it would cause the trend line to misrepresent the typical data relationship.
