What is the equation?
1 answer:
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Answer:
We can use the z score formula given by:
If we use this formula we got:
And using a calculator, excel or the normal standard table and we have that:
Step-by-step explanation:
We assume this previous info: It is known that the amounts of time required for room-service delivery at a certain Marriott Hotel are Normally distributed with the average delivery time of 20 minutes.
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then the distribution for the sample mean is given by:
And we can use the z score formula given by:
If we use this formula we got:
And using a calculator, excel or the normal standard table and we have that:
<h3>Answer:</h3>
The rate of change in the 2nd 3-year interval is 3.375 times that in the 1st 3-year interval.
<h3>Explanation:</h3>The exponential function tells you that each year values get multiplied by 1.5. Then after thee years, values are multiplied by 1.5³ = 3.375. This is true for all function values, including average rate of change. Whatever the rate of change is in years 0–3, it will be 3.375 times that in years 3–6.
The calculation performed by the graphing calculator confirms this:
... the average rate of change in years 3–6 is 160.3125; in years 0–3, it is 47.5.
The ratio of these average rate of cange values is 3.375.