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konstantin123 [22]
3 years ago
9

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.
Mathematics
1 answer:
Annette [7]3 years ago
4 0

Answer:

(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)

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Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?
Marysya12 [62]

Answer:

The linear function becomes:

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Step-by-step explanation:

We know that the slope-intercept of a linear function is

y = mx+b

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Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

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For example, in one hour i.e. x = 1, the cost 'y' will be:

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y = 15(1) + 10

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