It will be a horizontal line at y=7 and shaded above. If you have pictures of the graph I can show which one it would be.
Answer: -11y - 35x
Step-by-step explanation:
This problem utilizes the Distributive Property of Multiplication. It states that: a(x + y) = ax + ay.
Thus, utilizing this property (distributing -7), change the equation into:
3y - 35x - 14y
Then, simply combine like terms to get:
-11y - 35x
Hope it helps :) and let me know if you want me to elaborate.
60 degrees
Right angles add up to 90 so 90-30=60
Answer:
Step-by-step explanation:
1) 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".
Let X the random variable that represent the scores, and for this case we know the distribution for X is given by:
And let
represent the sample mean, the distribution for the sample mean is given by:
On this case
2) Calculate the probability
We want this probability:
The best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
Answer:

Step-by-step explanation:
Let's use the Pythagorean theorem
