(c) Using the function p(x), determine the possible rate(s) of production that resulted in the given probability of 0.15 stated in part (a). (d) The minimum probability that a randomly selected Choc-pricot is imperfect, according to the function p(x), is 0.0781 (correct to three significant figures). State the corresponding rate of production that would result in this probability.
(c) Using the function p(x), determine the possible rate(s) of production that resulted in the given probability of 0.15 stated in part (a). (d) The minimum probability that a randomly selected Choc-pricot is imperfect, according to the function p(x), is 0.0781 (correct to three significant figures). State the corresponding rate of production that would result in this probability.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
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Question
Transcribed Image Text:The manager of the assembly line can adjust the rate of production of Choc-pricots, resulting in a
change in the probability that a randomly selected Choc-pricot is imperfect. This probability can be
modelled by the function
p(x) = sin(0.00392x²)+e, for 0<x<20,
where p(x) represents the probability that a randomly selected Choc-pricot is imperfect, and
x represents the rate of production measured in Choc-pricots per second.
(b) On the axes in Figure 8, sketch the graph of y= p(x).
1.0
0.8
0.6
0.4
0.2
y
10
Figure 8
15
20
Transcribed Image Text:(c) Using the function p(x), determine the possible rate(s) of production that resulted in the given
probability of 0.15 stated in part (a).
(d) The minimum probability that a randomly selected Choc-pricot is imperfect, according to the
function p(x), is 0.0781 (correct to three significant figures).
State the corresponding rate of production that would result in this probability.
page 8 of 15
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