Formulas with rational expressions are often used to model learning. Many of these formulas model the proportion of correct responses in terms of the number of trials of a particular task. One such model, called a learning curve, is P = 0.9 x − 0.4 0.9 x + 0.1 , where P is the proportion of correct responses after x trials. If P = 0 , there are no correct responses. If P = 1 , all responses are correct. The graph of the rational formula is shown. Use the formula to solve Exercises 103-104. How many learning trials are necessary for 0.95 of the responses to be correct? Identify your solution as a point on the graph.
Formulas with rational expressions are often used to model learning. Many of these formulas model the proportion of correct responses in terms of the number of trials of a particular task. One such model, called a learning curve, is P = 0.9 x − 0.4 0.9 x + 0.1 , where P is the proportion of correct responses after x trials. If P = 0 , there are no correct responses. If P = 1 , all responses are correct. The graph of the rational formula is shown. Use the formula to solve Exercises 103-104. How many learning trials are necessary for 0.95 of the responses to be correct? Identify your solution as a point on the graph.
Solution Summary: The author calculates the number of learning trials which are necessary for 0.95 of the responses to be correct.
Formulas with rational expressions are often used to model learning. Many of these formulas model the proportion of correct responses in terms of the number of trials of a particular task. One such model, called a learning curve, is
P
=
0.9
x
−
0.4
0.9
x
+
0.1
,
where P is the proportion of correct responses after x trials. If
P
=
0
, there are no correct responses. If
P
=
1
, all responses are correct. The graph of the rational formula is shown. Use the formula to solve Exercises 103-104.
How many learning trials are necessary for 0.95 of the responses to be correct? Identify your solution as a point on the graph.
a) Find the scalars p, q, r, s, k1, and k2.
b) Is there a different linearly independent eigenvector associated to either k1 or k2? If yes,find it. If no, briefly explain.
This box plot represents the score out of 90 received by students on a driver's
education exam.
75% of the students passed the exam. What is the minimum score needed to pass
the exam?
Submitting
x and Whickers Graph Low 62, C
62 66
70 74
78 82 86
90
Driver's education exam score (out of 90)
How many different rectangles can be made whose side lengths, in centimeters, are counting numbers and whose are is 1,159 square centimeters? Draw and label all possible rectangles.
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Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License