Which rules define the function graphed below? (15 points cuz I'm stumped)
1 answer:
Answer: Choice A
y=2x+3; y=-1/3x+3
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Explanation:
The left portion of the blue curve is y = 2x+3 but it is only graphed when x < 0 (we could argue that but I'll set that aside for the other portion).
The right portion is the line y = -1/3x + 3 and it's only graphed when
So we could have this piecewise function
Or we could easily swap the "or equal to" portion to move to the first part instead like this
Either way, we're involving the equations mentioned in choice A
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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.