What is (2x +7) (6 x 8) - 13
1 answer:
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Answer:
Step-by-step explanation:
The empirical rule, also referred to as "the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)". The empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
And on this case since we are within 3 deviations (because we have 99.7% of the data between 568 and 1066hours), the result obtained using the z score agrees with the empirical rule.
So on this case we can find the standard deviation on this ways:
(1)
(2)
If we subtract conditions (2) and (1) we got:
Answer:
Step-by-step explanation:
We have the following expression:
In order to work in a better way this expression, let's call and
and rewrite:
Now, we know . Let's apply it here:
Simplifying:
According these trigonometric identities, we have:
Then:
Writing again the actual values:
Finally: