According to the U.S. Census Bureau, the mean of the commute time to work for a resident of CA is 21.5 minutes. Assume that the
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Using Chebyshev's Theorem, the minimum percentage of commuters in has a commute time within 2 standard deviations of the mean is of 75%.
<h3>What does Chebyshev’s Theorem state?</h3>When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:
- At least 75% of the measures are within 2 standard deviations of the mean.
- At least 89% of the measures are within 3 standard deviations of the mean.
- An in general terms, the percentage of measures within k standard deviations of the mean is given by
.
Hence, the minimum percentage of commuters in has a commute time within 2 standard deviations of the mean is of 75%.
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The limit is equal to -3 for the function whose graph is being shown in the question.
Given Graph of a function.
If we see the graph carefully then we can find that it is not a straight linear means it is not the graph of a linear function. From x=-10 to -3 the range is from 4 to -2 and from 3 onwards it is a straight line at y=-3. means when we put the value of x in the function equal to or less than 3 then we gets different answers than the values equal to or greater than 3 gives.
Because the graph is linear from x=3 onwards so the limit of the function will be -3.
Hence the limit is equal to -3.
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