The larger number is (-7+14)/2 = 3.5.
The smaller number is (-7-14)/2 = -10.5.
_____
The two equations a+b=-7, a-b=14 can be solved to get these results. It is genrally convenient to solve them by adding one to the other, or subtracting one from the other.
Answer:
f(x) = -x³ + 3x² + 4x - 12
Step-by-step explanation:
f(x)=(x+2)(-x+3)(x-2)
Step 1. Use the difference of two squares
(x + 2)(x - 2) = x² - 4
f(x) = (-x + 3)(x² - 4)
Step 2. Long multiplication
x² - 4
<u>-x + 3 </u>
-x³ + 4x
<u> + 3x² - 12</u>
-x³ + 3x² + 4x - 12
f(x) = -x³ + 3x² + 4x - 12
Answers:
- Red = negative skew
- Yellow = symmetric
- Blue = positive skew
================================================
Explanation:
A symmetric distribution is where we have the left half be a mirror copy of the right half. In other words, we have symmetry going on.
For the yellow team, note the distance between Q1 and the median is 1 unit (47-46 = 1), and so is the distance from the median to Q3 (48-47 = 1). So the box portion has perfect symmetry. You should find that the whiskers are also perfectly symmetric as well using a similar technique of finding the distances and comparing them.
Overall, the entire box-and-whisker plot for the yellow team is perfectly symmetric.
---------------
If a distribution isn't symmetric, then it's skewed in some way. If the right side is pulled longer than the left, then we consider it "skewed to the right" aka "positively skewed". So that applies to the blue team. The red team has negative skew because its left tail is longer than the right tail.
The median is the 6 th element of the 11 th
that is 7
