Applying the segment addition postulate:
x = 2.75
AB = 6x = 6(2.75) = 16.5 units
BC = 8x + 1/4 = 8(2.75) + 1/4 = 22.25 units.
<h3>What is the Segment Addition Postulate?</h3>
Based on the segment addition postulate, since B lies between points A and C on a line segment, then:
AB + BC = AC
AC = 38 3/4
AB = 6x
BC = 8x + 1/4
Substitute
6x + 8x + 1/4 = 38 3/4 [segment addition postulate]
14x + 1/4 = 155/4
14x = 155/4 - 1/4
14x = (155 - 1)/4
14x = 154/4
14x × 4 = 154
56x = 154
x = 154/56
x = 2.75
AB = 6x = 6(2.75) = 16.5 units
BC = 8x + 1/4 = 8(2.75) + 1/4 = 22.25 units.
Learn more about the segment addition postulate on:
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Answer:
-15.4
Step-by-step explanation:
Simply just means "solve" or "make the equation shorter"
Answer:(X+13) (X-13)
Step-by-step explanation:
Answer:
(you)
(friend)
So as we can see we got the same z score for both cases so then we can conclude that:
You and your friend are equally ranked.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where and
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we have a z score greater we have a bettr result since the value would be on a higher percentile of the distribution. So if we find the two z scores for the scores given we got:
For the other instructor the distribution changes and would be:
Where and
And the z score for the friend would be:
So as we can see we got the same z score for both cases so then we can conclude that:
You and your friend are equally ranked.