Diane, Jose, and Bill have a total of $109 in their wallets. Bill has 3 times what Jose has. Diane has $6 less than Jose. How mu
1 answer:
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Answer: b. The adjacent angles formed by two intersecting lines are supplementary.
Step-by-step explanation:
In the given picture , we can see that there are intersecting lines with adjacent angles which have shown.
If we add the adjacent angles for each pair of intersecting lines we get,
Therefore,b is the right option "The adjacent angles formed by two intersecting lines are supplementary."
- Two Angles are supplementary when their sum is 180 degrees.
- Two Angles are complementary when their sum is 90 degrees.
- Vertical angles are always equal.
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: