Answer:
The answer is D
Step-by-step explanation:
The only logical explanation
Answer:1 1/5
Step-by-step explanation:
1/5 x 6/1 = 6/5
6/5 is improper so it would be changed to 1 1/5
hope this helps!
STAN walk 10 km to the grocery store.
He stops then walks 10 km east back to his house.
Let us draw this situation to better understand the problem.
As you can see, Stan first walked to the grocery store and covered a distance of 10 km then he came back to the house from the grocery store and covered a distance of 10 km.
So the total distance is 10 + 10 = 20 km
On the other hand, notice that Stan is exactly at the point where he first started that is his house, therefore, the displacement is 0 in this case.
Recall that the displacement is a vector quantity so the direction of travel also matters.
From house to grocery store = 10 km
From the grocery store to house = -10 km
Overall displacement = 10 km - 10 km = 0 km
Therefore,
Distance = 20 km
Displacement = 0 km
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:
![z =\frac{90-72}{12}=1.5](https://tex.z-dn.net/?f=%20z%20%3D%5Cfrac%7B90-72%7D%7B12%7D%3D1.5)
For the other instructor the distribution changes and would be:
Where
and
And the z score for the friend would be:
![z =\frac{75-60}{10}=1.5](https://tex.z-dn.net/?f=%20z%20%3D%5Cfrac%7B75-60%7D%7B10%7D%3D1.5)
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.