3) Suppose a dice-rolling experiment has dice(n) = 800 e-0.222137654 n as its model. a) What is the initial number of dice rolled? b) How many rolls does it take to reach half of the original 800 dice? c) How many rolls does it take to reach a quarter of the original 800 dice?

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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3) Suppose a dice-rolling experiment has dice(n) = 800 e-0.222137654 n as its model.
a) What is the initial number of dice rolled?
b) How many rolls does it take to reach half of the original 800 dice?
c)
How many rolls does it take to reach a quarter of the original 800 dice?
d) How many rolls does it take to reach an eighth of the original 800 dice?
e) How many rolls does it take to reach a sixteenth of the original 800 dice?
f) What did you notice about these "half-lives"?
g) Look up and summarize the definition of "half-life". Be sure to include the source.
Transcribed Image Text:3) Suppose a dice-rolling experiment has dice(n) = 800 e-0.222137654 n as its model. a) What is the initial number of dice rolled? b) How many rolls does it take to reach half of the original 800 dice? c) How many rolls does it take to reach a quarter of the original 800 dice? d) How many rolls does it take to reach an eighth of the original 800 dice? e) How many rolls does it take to reach a sixteenth of the original 800 dice? f) What did you notice about these "half-lives"? g) Look up and summarize the definition of "half-life". Be sure to include the source.
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