PLEASE HELP Michaels home is 12 feet below sea level in his mothers home is 12 feet above sea level Michael says their homes are
at opposite elevation is because they are in opposite directions is he correct? Explain.
2 answers:
Answer:
Yes, he is correct.
Step-by-step explanation:
Given,
Michael's home is 12 feet below sea level,
And, his mother's home is 12 feet above sea level,
That is, with respect to sea level Michael's home is towards north direction and his mother's home is towards south direction.
Thus, the position of Michael's home with respect to sea level = - 12,
And, the position of his mother's home with respect to sea level = + 12,
Since, the elevation is measured vertically.
⇒ Their home are at opposite elevation,
Hence, their home are at opposite elevation because of they are in opposite directions.
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Answer:
First part
And for this case we can use the z score formula given by:
And using this formula we got:
And we can use the normal standard table or excel and we got:
Second part
For the other part of the question we want to find the following probability:
And using the score we got:
And we can find this probability with this difference:
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 data of a population, and for this case we know the distribution for X is given by:
Where and
First part
And for this case we want this probability:
And for this case we can use the z score formula given by:
And using this formula we got:
And we can use the normal standard table or excel and we got:
Second part
For the other part of the question we want to find the following probability:
And using the score we got:
And we can find this probability with this difference: