Answered: A ski gondola carries skiers to the top…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.8: Joint And Combined Variation

Problem 2ST

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A ski gondola carries skiers to the top of a mountain. Assume that the weights of the skiers are normally distributed withameanof188 lb and a standarddeviationof41lb. The gondola has a seated capacity of 25 passengers and the gondola is rated for a load limitof3500lb.

Given the gondola is rated for a load limit of 3500 lb. What is the maximum weight of passengers if the gondola is filled to the stated capacity of25 passengers?

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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