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College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 44SE: At the start of a trip, the odometer on a car read 21,395. At the end of the trip, 13.5 hours later,...

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A student has submitted a concrete cylinder to the "strength contest" in Engineering Open House, and is scheduled to be the last contestant for load testing. The process producing her concrete cylinder yields strength that is normally distributed with mean = 80 kips and standard deviation = 20 kips (a kip is a non-SI unit of force). Immediately prior to her cylinder being tested, the two highest strengths in the contest thus far are 100 kips and 70 kips. A. What is the probability that this student will be the second place winner? B. Now the cylinder (from A) is being tested and it has not shown any kind of distress at a load of 90 kips. What is the probability that this student will win first place?.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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