Triangles PQR and XYZ are similar.
1 answer:
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Answer: The answer is
Step-by-step explanation: Given that a school wants to put on a dance recital. The programs of Middle school dancer will be short of 4 minutes each and programmes of High school performers will be long of 7 minutes each.
Number of middle school dances is "M" and number od high school dances is "H".
Since there cannot be more than 10 dances all together, so fisrt inequality can be written as
Also, the entire recital must take maximum 90 minutes, so the second inequality can be written as
Thus, the pair of inequalities is
Answer:
Now we can find the second central moment with this formula:
And replacing we got:
And the variance is given by:
And replacing we got:
And finally the deviation would be:
Step-by-step explanation:
We can define the random variable of interest X as the return from a stock and we know the following conditions:
represent the result if the economy improves
represent the result if we have a recession
We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:
And replacing the data given we got:
Now we can find the second central moment with this formula:
And replacing we got:
And the variance is given by:
And replacing we got:
And finally the deviation would be: