The shoe sizes of eight different men were used to create the box plot above. Which of the sets of measurements below matches th
2 answers:
Answer:
First, determine the first, second, and third quartiles of the given box plot.
Next, determine the first, second, and third quartiles of the given sets to find a match.
Consider the given set below.
Shoe Sizes: 7, 8, 8, 9, 10, 11, 11, 12
Determine the second quartile (median of the set).
7, 8, 8, 9, 10 , 11, 11, 12
Determine the first quartile (median of the lower half).
7, 8, 8, 9, 10, 11, 11, 12
Determine the third quartile (median of the upper half).
7, 8, 8, 9, 10, 11, 11 , 12
Thus, the following set matches the given box plot.
Shoe Size: 7, 8, 8, 9, 10, 11, 11, 12
Step-by-step explanation:
i hoped i helped :)
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= 1: 1
= 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
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So the possible roots are -1, 1, -2, 2, -3, 3, -4, 4, -6, 6.... etc.
Now use synthetic division to test each of the possible roots. If the answer does not have a remainder, then it is a root. After one possible root works, use the result of the division to continue finding other roots. Let me know if you need help with this step and I will upload a picture. Otherwise, division is pretty straight forward.
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Next we will find all the possible rational roots. To do so, divide each of the
So the possible roots are -1, 1, -2, 2, -3, 3, -4, 4, -6, 6.... etc.
Now use synthetic division to test each of the possible roots. If the answer does not have a remainder, then it is a root. After one possible root works, use the result of the division to continue finding other roots. Let me know if you need help with this step and I will upload a picture. Otherwise, division is pretty straight forward.
After dividing the polynomial by each possible rational root, we find -2 and -3 as roots. We can express these roots as the factors (x+2) and (x+3). So after wee factor them out, we get:
(x+2)(x+3)(x^2 - 4x + 6)
Hope this helps! Rational Root Theorem is a lot of work, but it is easy once you understand it!