
Finite Mathematics and Applied Calculus (MindTap Course List)
7th Edition
ISBN: 9781337274203
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Textbook Question
Chapter 2.4, Problem 34E
College Basketball: Women The following table shows the number of NCAA women's college basketball teams in the United States for various years since 1990:55
t (years since 1990) | 0 | 5 | 10 | 11 | 12 | 13 | 14 |
Teams | 782 | 864 | 956 | 958 | 975 | 1,009 | 1,008 |
t (years since 1990) | 15 | 16 | 17 | 18 | 19 | 20 |
Teams | 1,036 | 1,018 | 1,003 | 1,013 | 1,032 | 1,036 |
a. What is the logistic regression model for the data? (Round all coefficients to three significant digits.) At what value does the model predict that the number of basketball teams will level off?
b. According to the model, for what value of t is the regression curve steepest? Interpret the answer.
c. Interpret the coefficient b in the context of the number of women’s basketball teams.
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Solve this question and show steps.
u, v and w are three coplanar vectors:
⚫ w has a magnitude of 10 and points along the positive x-axis
⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x-
axis
⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x-
axis
⚫ vector v is located in between u and w
a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane.
b) If possible, find
w × (ū+v)
Support your answer mathematically or a with a written explanation.
c) If possible, find
v. (ū⋅w)
Support your answer mathematically or a with a written explanation.
d) If possible, find
u. (vxw)
Support your answer mathematically or a with a written explanation.
Note: in this question you can work with the vectors in geometric form or convert
them to algebraic vectors.
Chapter 2 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
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