Suppose that you are given the task of learning 100% of a block of knowledge. Human nature is such that we retain only a percentage P of knowledge t weeks after we have learned it. The Ebbinghaus learning model asserts that P is given by P(t) = Q + (100 - Q)e where Q is the percentage that we would never forget and k is a constant that depends on the knowledge learned. Suppose that Q= 25 and k= 0.6. Complete parts (a) through (e) below. - kt ... a) Find the percentage retained after 0 weeks, 1 week, 2 weeks, 6 weeks, and 10 weeks. Complete the Time Passed Percentage table to the right. O weeks
Suppose that you are given the task of learning 100% of a block of knowledge. Human nature is such that we retain only a percentage P of knowledge t weeks after we have learned it. The Ebbinghaus learning model asserts that P is given by P(t) = Q + (100 - Q)e where Q is the percentage that we would never forget and k is a constant that depends on the knowledge learned. Suppose that Q= 25 and k= 0.6. Complete parts (a) through (e) below. - kt ... a) Find the percentage retained after 0 weeks, 1 week, 2 weeks, 6 weeks, and 10 weeks. Complete the Time Passed Percentage table to the right. O weeks
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Suppose that you are given the task of learning 100% of a block of knowledge. Human nature is such that we retain only a percentage
P of knowledge t weeks after we have learned it. The Ebbinghaus learning model asserts that P is given by P(t) = Q+ (100 – Q)e - kt
where Q is the percentage that we would never forget and k is a constant that depends on the knowledge learned. Suppose that
Q= 25 and k = 0.6. Complete parts (a) through (e) below.
a) Find the percentage retained after 0 weeks, 1 week, 2 weeks, 6 weeks, and 10 weeks. Complete the Time Passed Percentage
table to the right.
O weeks
%
1 week
%
2 weeks
%
6 weeks
10 weeks
%
(Round to one decimal place
as needed.)
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