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 research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
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