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kramer
7 days ago
15

The Polk Company reported that the average age of a car on U.S. roads in a recent year was 7.5 years. Suppose the distribution o

f ages of cars on U.S. roads is approximately bell-shaped. (a) If 99.7% of the ages are between 1 year and 14 years, what is the standard deviation of car age? (5 points) (b) Suppose
Mathematics
2 answers:
babunello [10.1K]7 days ago
8 0
Answer: 2.167. Step-by-step explanation: Given that 99.7% of data is within three standard deviations around the mean, we calculate that 6.5 years is the total deviation (derived from either 14 - 7.5 or 7.5 - 1). Dividing that by 3 gives a standard deviation of 2.167.
PIT_PIT [10.9K]7 days ago
8 0
Answer: The car age's standard deviation is 2.17 years. Step-by-step explanation: The Empirical Rule indicates that for a normally distributed random variable: 68% of values fall within one standard deviation of the mean, 95% within two, and 99.7% within three. In this context, given a mean of 7.5 years, with 99.7% of car ages ranging from 1 to 14 years implies that 1 year is three standard deviations below the mean while 14 years is three above. Thus, the calculation for standard deviation yields 2.17 years.
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1 month ago
The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions
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Answer:

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Step-by-step explanation:

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P= 2x+2y

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By substitution, we obtain:

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Thus, we conclude:

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1 month ago
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