Simplify the following cube root: cube root( 54x^6)
2 answers:
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Given:
The given arithmetic sequence is:
To find:
The recursive formula of the given arithmetic sequence.
Solution:
We have,
Here, the first term is -3. So, .
The common difference is:
The recursive formula of an arithmetic sequence is:
Where, d is the common difference.
Putting , we get
Therefore, the recursive formula of the given arithmetic sequence is , where
.
Answer:
There is a 34.13% probability that the actual return will be between the mean and one standard deviation above the mean.
Step-by-step explanation:
This is problem is solving using the Z-score table.
The Z-score of a measure measures how many standard deviations above/below the mean is a measure. Each Z-score has a pvalue, that represents the percentile of a measure.
What is the probability that the actual return will be between the mean and one standard deviation above the mean?
One measure above the mean is
The mean is
This means that this probability is the pvalue of subtracted by the pvalue of
.
has a pvalue of 0.8413.
has a pvalue of 0.50.
This means that there is a 0.8413-0.50 = 0.3413 = 34.13% probability that the actual return will be between the mean and one standard deviation above the mean.