Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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SELECTED HINTS, ANSWERS, AND ETOOLS
CPM EDUCATIONAL PROGE
NT3 > Chapter 5 > Lesson 5.1.3 > Problem 5-49
5-49.
David and Regina are competitive racers, and they both aim to break two minutes in their respective races. They are trying to figure out
who has the more difficult challenge, since they compete in different sports. David runs the 800-meter race and Regina swims the 200-
meter freestyle. They agree to accept the following standards for high school boys and girls: boys' 800-meter mean time is 149 seconds
with a standard deviation of 13.6 seconds, girls' 200-meter freestyle mean time is 145 seconds with a standard deviation of 8.2 seconds.
Currently, David's best time is 2: 02 minutes and Regina's best time is 2: 10 minutes. Assuming times in their respective events are
normally distributed, what is the percentile in which David and Regina each fall? Which athlete is relatively faster in his or her sport?
OHint:
©2019 CPM Educational Program. All rights reserved.
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Transcribed Image Text:SELECTED HINTS, ANSWERS, AND ETOOLS CPM EDUCATIONAL PROGE NT3 > Chapter 5 > Lesson 5.1.3 > Problem 5-49 5-49. David and Regina are competitive racers, and they both aim to break two minutes in their respective races. They are trying to figure out who has the more difficult challenge, since they compete in different sports. David runs the 800-meter race and Regina swims the 200- meter freestyle. They agree to accept the following standards for high school boys and girls: boys' 800-meter mean time is 149 seconds with a standard deviation of 13.6 seconds, girls' 200-meter freestyle mean time is 145 seconds with a standard deviation of 8.2 seconds. Currently, David's best time is 2: 02 minutes and Regina's best time is 2: 10 minutes. Assuming times in their respective events are normally distributed, what is the percentile in which David and Regina each fall? Which athlete is relatively faster in his or her sport? OHint: ©2019 CPM Educational Program. All rights reserved.
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