Professor Wei observed that students have difficulty remembering the information presentedin his lectures.He modelled the percentage of information retained, R, by the function R(t) =where i is the number of days after the lecture.100e, 120,He found that I day after a lecture, students had forgotten 50% of the information presented.(a) Find the value of p.(b) Use this model to find the percentage of information retained by his students 36 hoursafter Professor Wei's lecture.Based on his model, Professor Wei believes that his students will always retain someinformation from his lecture.(c)State a mathematical reason why Professor Wei might believe this.(d) Write down one possible limitation of the domain of the model.

Answered: Image /qna-images/answer/f9e3cb09-6c47-409d-91cc-7f75cbd41767.jpg

Answered: UlessUF Wei observed that students have…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were :ŷ=a+bx a=20.874 b=-0.638 r2=0.894916 r=-0.946 Use this to predict the number of situps a person who watches 8 hours of TV can do (to one decimal place) _________
This value represents how much a change in one variable can be predicted from its relationship witha completely different variable .......
The cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is (almost) inversely proportional to gas mileage; higher gas mileage means lower fuel cost and vice-versa. If you keep track of the number of miles driven on each tank of gas as well as how much gas is purchased, it is easy to calculate gas mileage; many cell phone apps exist to track this. The data in the following table is the gas mileage for Mr. Hebert's 2015 Jeep Wrangler Unlimited. 12.85 14.98 15.36 17.09 18.86 13.28 15.11 15.62 17.50 19.07 13.48 15.12 15.65 17.66 20.91 14.65 15.13 16.41 18.17 21.17 14.71 15.14 16.80 18.27 22.11 a. Find the average fuel economy. x =enter your response here (Round your answer to 3 decimal places.)
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The cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is (almost) inversely proportional to gas mileage; higher gas mileage means lower fuel cost and vice-versa. If you keep track of the number of miles driven on each tank of gas as well as how much gas is purchased, it is easy to calculate gas mileage; many cell phone apps exist to track this. The data in the following table is the gas mileage for Mr. Hebert's 2015 Jeep Wrangler Unlimited. 12.85 14.98 15.36 17.09 18.86 13.28 15.11 15.62 17.50 19.07 13.48 15.12 15.65 17.66 20.91 14.65 15.13 16.41 18.17 21.17 14.71 15.14 16.80 18.27 22.11 c. Find the five number summary. enter your response here, enter your response here, enter your response here, enter your response here, enter your response here
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-0.794 b=31.311 r²=0.9801 r=-0.99 Use this to predict the number of situps a person who watches 8 hours of TV can do (to one decimal place)
Jane collects data from 40 elementary school students and finds that the relationship between age (x) and score on a certain test (y) is given by y=3.2x+45. What can she extrapolate about the score a 16-year old will get on the test?
A regression was run to determine if there is a relationship between hours of TV watched per day (xx) and number of situps a person can do (yy). The results of the regression were: y=ax+ba=-1.392b=32.952r2=0.527076r=-0.726Use this to predict the number of situps a person who watches 2 hour(s) of TV can do, and please round your answer to a whole number.
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The following equation describes the relationship between output and labor input at a sample of work stations in a manufacturing plant ŷ = 2.35+2.20X. Suppose, for a selected workstation, the labor input is 5, the predicted output is?
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were:y=ax+b a=-0.667 b=26.552 r2=0.677329 r=-0.823 Use this to predict the number of situps a person who watches 12 hours of TV can do (to one decimal place)
A regression was run to determine if there is a relationship between hours of TV watched per day (xx) and number of situps a person can do (yy).The results of the regression were:y=ax+b a=-0.629 b=39.045 r2=0.806404 r=-0.898 Use this to predict the number of situps a person who watches 6.5 hour(s) of TV can do, and please round your answer to a whole number.

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