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Description: The average pollen count in a certain city on day x of the pollen season is P(x) = 4x − 0.2x2 for 0 < x < 20). On which day is the pollen count highest?

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Calculus

The average pollen count in a certain city on day x of the pollen season is P(x) = 4x − 0.2x2 for 0 < x < 20). On which day is the pollen count highest?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 40E

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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The average pollen count in a certain city on day x of the pollen season is

P(x) = 4x − 0.2x² for 0 < x < 20).

On which day is the pollen count highest?

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