Which statement correctly describes the slope of the linear function that is represented by the data in the table? x y 8 –8 8 –4
2 answers:
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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:
Observe that as the series progresses, the term decreases by 1/4. To show this, observe the first four terms of the series below.
-200 = (1/4)(-800)
-50 = (1/4)(-200)
-12.5 = (1/4)(-50)
Since we have a common ratio, r, of 1/4, we can use the properties of a geometric series to find the 8th term of the series.
Recall that to find the sum of the nth term of a geometric series, we have
where a is the first term of the series and r is the ratio.
So, for the first eight terms, we have
Therefore, the sum of the 8th series is approximately -1066.65.
Answer: -1066.65
-200 = (1/4)(-800)
-50 = (1/4)(-200)
-12.5 = (1/4)(-50)
Since we have a common ratio, r, of 1/4, we can use the properties of a geometric series to find the 8th term of the series.
Recall that to find the sum of the nth term of a geometric series, we have
where a is the first term of the series and r is the ratio.
So, for the first eight terms, we have
Therefore, the sum of the 8th series is approximately -1066.65.
Answer: -1066.65