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State the probability that a randomly selected, normally distributed value lies between

Mathematics for the International Student: Mathematics SL | 3rd Edition | ISBN: 9781921972089 | Authors: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa ISBN: 9781921972089 446

Solution for problem 3 Chapter 24

Mathematics for the International Student: Mathematics SL | 3rd Edition

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Mathematics for the International Student: Mathematics SL | 3rd Edition | ISBN: 9781921972089 | Authors: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa

Mathematics for the International Student: Mathematics SL | 3rd Edition

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Problem 3

State the probability that a randomly selected, normally distributed value lies between: a below the mean and above the mean b the mean and the value 2 above the mean.

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MTH 132 - Lecture 12 - Position Functions Summary ● s(t) - position function ● v(t) - s’(t) ● a(t) - v’(t) - s’’(t) ● If velocity and acceleration are the same - speed up. ● If velocity and acceleration are different - slow down. Example ● A ball is thrown upward from the top of a 350 foot building, with the ball's initial velocity 10 foot/second. ● How high can the ball get ○ s(t) = 350 + 10t -16t^2 ○ T1 = highest point = s’(t) = 10 - 32t = 0 ○ T11 = 10/32 = 5/16. ○ 350+10(5/16)-16(5/16)^2 ○ 350 +25/16 = highest point. ● When does the ball hit the ground ○ Let s(t) = 0. ○ 350 + 10t - 16t^2 = 175 +5t - 8t^2 √ ○ T = (-5 + or - 25 −*4 17* − 8 )/2*-8 = 5 seconds ● Velocity when the ball hit the ground ○ 10-32*5 ○ 10- 160 ○ -150 ft/sec MTH 132 - Lecture 11 - Rate of Change Velocity ● s(t) = position of a particle ● s’(t) = limit h as it approaches 0 [s(t+h)-s(t)]/h ○ s’(t) = rate of change of position ● Instantaneous velocity = v(t) Direction ● v’(t) > 0 ○ Movement in a positive direction ● v’(t) < 0 ○ Movement in a negative direction Acceleration ● v’(t) = [v(t+h)-v(t)]/h ○ v’(t) = a(t) = Acceleration Speed ● a(t) > 0 and v(t) > 0 ○ Speed up ● a(t) < 0 and v(t) > 0 ○ Slow down ● If a(t) ≠ v(t) ○ Slow down Jerk ● a’(t) = jerk = th

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Chapter 24, Problem 3 is Solved
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Textbook: Mathematics for the International Student: Mathematics SL
Edition: 3
Author: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa
ISBN: 9781921972089

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State the probability that a randomly selected, normally distributed value lies between