Coal Projections The rate of spending on coal (in millions of dollars per year) is projected

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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62
Find and interpret
P(100).
62. Coal Projections The rate of spending on coal (in millions of dollars per year) is projected
for the years 2020 through 2030 to be approximately
f(t) = (1125t + 40,500)e-0
(0 <t< 10),
-.02t
where t
0 corresponds to the year 2020. Find the projected total spending (to the nearest
million) on coal between 2020 and 2030. (Data from: U.S. Energy Information Administration.)
Business A model for the amount of time it takes for the first customer to arrive at a coffee shop in the
morning is modeled by the exponential distribution and the function
f(x)
-x/3
3
(See Example 8 0.)
63. Find the probability that the first customer arrives in the first 5 minutes.
64. Find the probability that the first customer arrives between 1 and 3 minutes after the shop
opens.
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Transcribed Image Text:Find and interpret P(100). 62. Coal Projections The rate of spending on coal (in millions of dollars per year) is projected for the years 2020 through 2030 to be approximately f(t) = (1125t + 40,500)e-0 (0 <t< 10), -.02t where t 0 corresponds to the year 2020. Find the projected total spending (to the nearest million) on coal between 2020 and 2030. (Data from: U.S. Energy Information Administration.) Business A model for the amount of time it takes for the first customer to arrive at a coffee shop in the morning is modeled by the exponential distribution and the function f(x) -x/3 3 (See Example 8 0.) 63. Find the probability that the first customer arrives in the first 5 minutes. 64. Find the probability that the first customer arrives between 1 and 3 minutes after the shop opens. Close naviga V Checkpoint Answers bar
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