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 0.5 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 0.5 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 0.5 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 0.5 of the responses to be correct? Identify your solution as a point on the graph.
4. In a study of how students give directions, forty volunteers were given the task ofexplaining to another person how to reach a destination. Researchers measured thefollowing five aspects of the subjects’ direction-giving behavior:• whether a map was available or if directions were given from memory without a map,• the gender of the direction-giver,• the distances given as part of the directions,• the number of times directions such as “north” or “left” were used,• the frequency of errors in directions.a) Identify each of the variables in this study, and whether each is quantitative orqualitative. For each quantitative variable, state whether it is discrete or continuousb) Was this an observational study or an experimental study? Explain your answer
Find the perimeter and area
Assume {u1, U2, us} spans R³.
Select the best statement.
A. {U1, U2, us, u4} spans R³ unless u is the zero vector.
B. {U1, U2, us, u4} always spans R³.
C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set.
D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³.
OE. {U1, U2, 3, 4} never spans R³.
F. none of the above
Chapter 1 Solutions
Algebra And Trigonometry 6th. Edition Annotated Instructor's Copy Blitzer
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