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ceeejay0621
19.03.2021 •
Mathematics
When Adrian commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 24 minutes and a standard deviation of 3.5 minutes. Using the empirical rule, determine the interval that represents the middle 99.7% of his commute times.
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Ответ:
(13.5, 34.5)
Step-by-step explanation:
The empirical rule states that for a normal distribution, the data will fall within three standard deviations of the mean. 68% of the data 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).
Given that mean (µ) = 24 and standard deviation (σ) = 3.5
Using empirical rule, the interval that represents the middle 99.7% = (µ ± 3σ) = (24 ± 3*3.5) = (13.5, 34.5)
Ответ:
x=132 degrees
Step-by-step explanation:
x is the alternate interior angle of 39+93
x=132 degrees