The number of lifetime home runs H for a Major League Baseball player is related to the probability P (as a percent) that he will be inducted into the Hall of Fame. A proposed relationship is the following. 100 P = 1+ 383,75e-0.0143H (a) Plot the graph of P versus H. Include values on the H-axis up to 700 home runs. P P P P 100 100- 100 100 WebAssign Plot 80 80 80 80 60 60 60 60 40 40 40 40 20 20 20 20 OH T 100 200 300 400 H 100 200 300 400 500 600 700 100 200 300 400 500 600 700 100 200 300 400 500 600 700 (b) A certain player had 530 career home runs. According to this model, what were his chances of getting into the Hall of Fame? (Round your answer to two decimal places.) (c) A Major League Baseball player hopes to make the Hall of Fame. Does a home run today have a greater effect on his chances if he currently has 400 or 500 career home runs? A home run today has a greater effect on a player's chances if he currently has 500 career home runs.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The number of lifetime home runs H for a Major League Baseball player is related to the probability P (as a percent) that he will be inducted into the Hall of Fame. A proposed relationship is the following.
100
=
1 + 383.75e-0.0143H
P =
(a) Plot the graph of P versus H. Include values on the H-axis up to 700 home runs.
P
P
P
P
100
100
100
100
WebAssign Plot
80
80
80
80
60
60
60
60
40
40
40
40
20
20
20
20
H
400 500 600 700
L li
но
100 200 300
H
600 700
H
700
100 200
300
400
500
100
200
300
400 500
600
100 200
300
400 500 600 700
(b) A certain player had 530 career home runs. According to this model, what were his chances of getting into the Hall of Fame? (Round your answer to two decimal places.)
%
(c) A Major League Baseball player hopes to make the Hall of Fame. Does a home run today have a greater effect on his chances if he currently has 400 or 500 career home runs?
A home run today has a greater effect on a player's chances if he currently has 500 career home runs.
A home run today has a the same effect on a player's chances regardless of the number of career home runs.
O A home run today has a greater effect on a player's chances if he currently has 400 career home runs.
Transcribed Image Text:The number of lifetime home runs H for a Major League Baseball player is related to the probability P (as a percent) that he will be inducted into the Hall of Fame. A proposed relationship is the following. 100 = 1 + 383.75e-0.0143H P = (a) Plot the graph of P versus H. Include values on the H-axis up to 700 home runs. P P P P 100 100 100 100 WebAssign Plot 80 80 80 80 60 60 60 60 40 40 40 40 20 20 20 20 H 400 500 600 700 L li но 100 200 300 H 600 700 H 700 100 200 300 400 500 100 200 300 400 500 600 100 200 300 400 500 600 700 (b) A certain player had 530 career home runs. According to this model, what were his chances of getting into the Hall of Fame? (Round your answer to two decimal places.) % (c) A Major League Baseball player hopes to make the Hall of Fame. Does a home run today have a greater effect on his chances if he currently has 400 or 500 career home runs? A home run today has a greater effect on a player's chances if he currently has 500 career home runs. A home run today has a the same effect on a player's chances regardless of the number of career home runs. O A home run today has a greater effect on a player's chances if he currently has 400 career home runs.
One study used the following logistic function to model the number N, in billions, of cells in a certain type of tumor t days after the typical size at diagnosis.
1000
N =
=
1 + 999e-0.011it
(a) Plot the graph of N versus t over the first 1200 days.
N
N
N
N
2000
2000
2000
2000
1500
1500
1500
1500
1000
1000
1000
1000
500
500아
500
500-
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1000 1200
200
400
600
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1000 1200
200
400
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800
1000
1200 O
200
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1200
(b) How many days after diagnosis does it take the tumor to reach 100 times its size at the time of diagnosis? (Round your answer to one decimal place.)
x days
Transcribed Image Text:One study used the following logistic function to model the number N, in billions, of cells in a certain type of tumor t days after the typical size at diagnosis. 1000 N = = 1 + 999e-0.011it (a) Plot the graph of N versus t over the first 1200 days. N N N N 2000 2000 2000 2000 1500 1500 1500 1500 1000 1000 1000 1000 500 500아 500 500- 200 400 600 800 1000 1200 200 400 600 800 1000 1200 200 400 600 800 1000 1200 O 200 400 600 800 1000 1200 (b) How many days after diagnosis does it take the tumor to reach 100 times its size at the time of diagnosis? (Round your answer to one decimal place.) x days
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