Answer:
5
Step-by-step explanation:
Calculate slope by choosing two points. (1, 5) and (2, 10)
slope = (10 - 5) / (2 - 1) = 5/1 = 5
Answer:
275=27x+5
Step-by-step explanation:
10 people can go to the park
27(10)+5=275
Answer: El grado de una ecuación lo marca el monomio (o término) de mayor grado absoluto. 5x + 3 = 2x + 1 Ecuación de primer grado (cada término posee solo una incógnita y su exponente es uno) . 5x + 3 = 2x 2 + x Ecuación de segundo grado.
Answer:x=4
Step-by-step explanation:
You can split this up into two equations
x-4=0
x+5=0
To solve each:
x-4=0
Add 4 to each side
x=4
------------
x+5=0
Subtract 5 from each side
x=-5
So your two solutions are -5 and 4 but you want the positive one so the answer is x=4
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.