Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 3.5, Problem 43E
To determine
The shifted function and then display the given function
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Theorem 1.2 (1) Suppose that P(|X|≤b) = 1 for some b > 0, that EX = 0, and
set Var X = 0². Then, for 0 0,
P(X > x) ≤e-x+1²²
P(|X|>x) ≤2e-1x+1²²
(ii) Let X1, X2...., Xn be independent random variables with mean 0, suppose
that P(X ≤b) = 1 for all k, and set oσ = Var X. Then, for
x > 0.
and
0x) ≤2 exp
Σ
k=1
(iii) If, in addition, X1, X2, X, are identically distributed, then
P(S|x) ≤2 expl-tx+nt²o).
Theorem 5.1 (Jensen's inequality)
state without proof the Jensen's Ineg.
Let X be a random variable, g a convex function, and suppose that X and g(X) are
integrable. Then
g(EX) < Eg(X).
Can social media mistakes hurt your chances of finding a job? According to a survey of 1,000 hiring managers across many different industries, 76% claim that they use social media sites to research prospective candidates for any job. Calculate the probabilities of the following events. (Round your answers to three decimal places.) answer parts a-c. a) Out of 30 job listings, at least 19 will conduct social media screening. b) Out of 30 job listings, fewer than 17 will conduct social media screening. c) Out of 30 job listings, exactly between 19 and 22 (including 19 and 22) will conduct social media screening. show all steps for probabilities please. answer parts a-c.
Chapter 3 Solutions
Basic Technical Mathematics
Ch. 3.1 - EXAMPLE 5
If , then substitute a3 for t
For the...Ch. 3.1 - EXAMPLE 7
For the functions f(x) = 5x − 3 and g(x)...Ch. 3.1 - In Exercises 1–4, solve the given problems related...Ch. 3.1 - Prob. 2ECh. 3.1 - In Exercises 1–4, solve the given problems related...Ch. 3.1 - Prob. 4ECh. 3.1 - In Exercises 5–12, find the indicated...Ch. 3.1 - In Exercises 5–12, find the indicated...Ch. 3.1 - In Exercises 5–12, find the indicated...Ch. 3.1 - In Exercises 5–12, find the indicated...
Ch. 3.1 - In Exercises 5–12, find the indicated...Ch. 3.1 - In Exercises 5–12, find the indicated...Ch. 3.1 - In Exercises 5–12, find the indicated functions.
A...Ch. 3.1 - In Exercises 5–12, find the indicated...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 13–24, evaluate the given...Ch. 3.1 - In Exercises 25–28, evaluate the given functions....Ch. 3.1 - In Exercises 25–28, evaluate the given functions....Ch. 3.1 - In Exercises 25–28, evaluate the given functions....Ch. 3.1 - In Exercises 25–28, evaluate the given functions....Ch. 3.1 - In Exercises 29–32, determine the function y =...Ch. 3.1 - In Exercises 29–32, determine the function y =...Ch. 3.1 - In Exercises 29–32, determine the function y =...Ch. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - In Exercises 39–42, write the equation as given by...Ch. 3.1 - In Exercises 39–42, write the equation as given by...Ch. 3.1 - In Exercises 39–42, write the equation as given by...Ch. 3.1 - In Exercises 43–52, solve the given problems.
A...Ch. 3.1 - In Exercises 43–52, solve the given...Ch. 3.1 - In Exercises 43–52, solve the given problems.
45....Ch. 3.1 - In Exercises 43–52, solve the given problems.
46....Ch. 3.1 - In Exercises 43–52, solve the given problems.
The...Ch. 3.1 - In Exercises 43–52, solve the given problems.
The...Ch. 3.1 - In Exercises 43–52, solve the given problems.
A...Ch. 3.1 - In Exercises 43–52, solve the given problems.
A...Ch. 3.1 -
(a) Explain the meaning of f [f(x)]. (b) Find f...Ch. 3.1 -
If f(x) = x and g(x) = x2, find (a) f [g(x)], and...Ch. 3.2 - Find the domain and range of the function .
Ch. 3.2 - Prob. 2PECh. 3.2 - In Example 8, find p as a function of r if there...Ch. 3.2 - In Exercises 1-4, solve the given problems related...Ch. 3.2 - Prob. 2ECh. 3.2 - In Exercises 1-4, solve the given problems related...Ch. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - In Exercises 15-20, find the domain of the given...Ch. 3.2 - In Exercises 15-20, find the domain of the given...Ch. 3.2 - Prob. 17ECh. 3.2 - In Exercises 15-20, find the domain of the given...Ch. 3.2 - Prob. 19ECh. 3.2 - In Exercises 15-20, find the domain of the given...Ch. 3.2 - Prob. 21ECh. 3.2 - In Exercises 21-24, evaluate the indicated...Ch. 3.2 - In Exercises 21-24, evaluate the indicated...Ch. 3.2 - In Exercises 21-24, evaluate the indicated...Ch. 3.2 - Prob. 25ECh. 3.2 - In Exercises 25-38, determine the appropriate...Ch. 3.2 - Prob. 27ECh. 3.2 - In Exercises 25-38, determine the appropriate...Ch. 3.2 - Prob. 29ECh. 3.2 - In Exercises 25-38, determine the appropriate...Ch. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - In Exercises 25-38, determine the appropriate...Ch. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - Prob. 46ECh. 3.2 - Prob. 47ECh. 3.2 - Prob. 48ECh. 3.2 - Prob. 49ECh. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.3 - Prob. 1PECh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - In Exercises 3 and 4, determine (at least...Ch. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - In Exercises 15–18, determine the quadrant in...Ch. 3.3 - In Exercises 15–18, determine the quadrant in...Ch. 3.3 -
In Exercises 19–38, answer the given...Ch. 3.3 -
In Exercises 19–38, answer the given...Ch. 3.3 -
In Exercises 19–38, answer the given...Ch. 3.3 -
In Exercises 19–38, answer the given...Ch. 3.3 -
In Exercises 19–38, answer the given...Ch. 3.3 -
In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 -
In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given questions.
If...Ch. 3.3 - In Exercises 19–38, answer the given...Ch. 3.3 - In Exercises 19–38, answer the given questions.
On...Ch. 3.3 - Prob. 38ECh. 3.4 - Prob. 1PECh. 3.4 - Prob. 2PECh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - In Exercises 5–36, graph the given functions.
5.
Ch. 3.4 - In Exercises 5–36, graph the given functions.
6. y...Ch. 3.4 - In Exercises 5–36, graph the given functions.
7. y...Ch. 3.4 - In Exercises 5–36, graph the given functions.
8. y...Ch. 3.4 - In Exercises 5–36, graph the given functions.
9. s...Ch. 3.4 - In Exercises 5−36, graph the given functions.
10....Ch. 3.4 - In Exercises 5–36, graph the given functions.
Ch. 3.4 - In Exercises 5–36, graph the given functions.
Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - In Exercises 5–36, graph the given functions.
Ch. 3.4 - In Exercises 5–36, graph the given functions.
y =...Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - In Exercises 5–36, graph the given functions.
24....Ch. 3.4 - In Exercises 5–36, graph the given functions.
y =...Ch. 3.4 - In Exercises 5–36, graph the given functions.
26....Ch. 3.4 - In Exercises 5–36, graph the given functions.
27....Ch. 3.4 - In Exercises 5–36, graph the given functions.
28....Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - In Exercises 5–36, graph the given functions.
Ch. 3.4 - In Exercises 5–36, graph the given...Ch. 3.4 - In Exercises 5–36, graph the given functions.
32....Ch. 3.4 - In Exercises 5–36, graph the given functions.
33....Ch. 3.4 - In Exercises 5–36, graph the given functions.
34....Ch. 3.4 - In Exercises 5–36, graph the given functions.
35....Ch. 3.4 - In Exercises 5–36, graph the given functions.
36....Ch. 3.4 - In Exercises 37–40, use the graph to determine the...Ch. 3.4 - In Exercises 37–40, use the graph to determine the...Ch. 3.4 - In Exercises 37–40, use the graph to determine the...Ch. 3.4 - In Exercises 37–40, use the graph to determine the...Ch. 3.4 - In Exercises 41–70, graph the indicated...Ch. 3.4 - In Exercises 41–70, graph the indicated...Ch. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Prob. 45ECh. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Prob. 50ECh. 3.4 - Prob. 51ECh. 3.4 - Prob. 52ECh. 3.4 - In Exercises 41–70, graph the indicated...Ch. 3.4 - Prob. 54ECh. 3.4 - Prob. 55ECh. 3.4 - Prob. 56ECh. 3.4 - Prob. 57ECh. 3.4 - Prob. 58ECh. 3.4 - Prob. 59ECh. 3.4 - Prob. 60ECh. 3.4 - Prob. 61ECh. 3.4 - Prob. 62ECh. 3.4 - Prob. 63ECh. 3.4 - Prob. 64ECh. 3.4 - In Exercises 41–70, graph the indicated...Ch. 3.4 - In Exercises 41–70, graph the indicated...Ch. 3.4 - Prob. 67ECh. 3.4 - Prob. 68ECh. 3.4 - Prob. 69ECh. 3.4 - Prob. 70ECh. 3.4 - In Exercises 71‒74, determine whether or not the...Ch. 3.4 - In Exercises 71–74, determine whether or not the...Ch. 3.4 - In Exercises 71–74, determine whether or not the...Ch. 3.4 - In Exercises 71–74, determine whether or not the...Ch. 3.5 - Prob. 1PECh. 3.5 - Prob. 2PECh. 3.5 - Prob. 3PECh. 3.5 - Prob. 1ECh. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - In Exercises 3–18, display the graphs of the given...Ch. 3.5 - Prob. 5ECh. 3.5 - Prob. 6ECh. 3.5 - Prob. 7ECh. 3.5 - Prob. 8ECh. 3.5 - Prob. 9ECh. 3.5 - Prob. 10ECh. 3.5 - Prob. 11ECh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - In Exercises 19–28, use a graphing calculator to...Ch. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 24ECh. 3.5 - Prob. 25ECh. 3.5 - Prob. 26ECh. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Prob. 29ECh. 3.5 - Prob. 30ECh. 3.5 - Prob. 31ECh. 3.5 - Prob. 32ECh. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Prob. 35ECh. 3.5 - Prob. 36ECh. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3.5 - Prob. 39ECh. 3.5 - Prob. 40ECh. 3.5 - In Exercises 41–48, a function and how it is to be...Ch. 3.5 - Prob. 42ECh. 3.5 - Prob. 43ECh. 3.5 - Prob. 44ECh. 3.5 - Prob. 45ECh. 3.5 - Prob. 46ECh. 3.5 - Prob. 47ECh. 3.5 - Prob. 48ECh. 3.5 - Prob. 49ECh. 3.5 - Prob. 50ECh. 3.5 - Prob. 51ECh. 3.5 - Prob. 52ECh. 3.5 - Prob. 53ECh. 3.5 - Prob. 54ECh. 3.5 - Prob. 55ECh. 3.5 - Prob. 56ECh. 3.5 - In Exercises 53–60, solve the indicated equations...Ch. 3.5 - In Exercises 53–60, solve the indicated equations...Ch. 3.5 - Prob. 59ECh. 3.5 - Prob. 60ECh. 3.5 - Prob. 61ECh. 3.5 - Prob. 62ECh. 3.5 - Prob. 63ECh. 3.5 - Prob. 64ECh. 3.5 - Prob. 65ECh. 3.5 - Prob. 66ECh. 3.5 - Prob. 67ECh. 3.5 - Prob. 68ECh. 3.6 - Prob. 1PECh. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - Prob. 5ECh. 3.6 - Prob. 6ECh. 3.6 - Prob. 7ECh. 3.6 - Prob. 8ECh. 3.6 - Prob. 9ECh. 3.6 - Prob. 10ECh. 3.6 - Prob. 11ECh. 3.6 - Prob. 12ECh. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 19ECh. 3.6 - Prob. 20ECh. 3.6 - Prob. 21ECh. 3.6 - Prob. 22ECh. 3.6 - Prob. 23ECh. 3.6 - Prob. 24ECh. 3.6 - Prob. 25ECh. 3.6 - Prob. 26ECh. 3.6 - Prob. 27ECh. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - Prob. 30ECh. 3 - Prob. 1RECh. 3 - Determine each of the following as being either...Ch. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 13RECh. 3 - Prob. 14RECh. 3 - Prob. 15RECh. 3 - Prob. 16RECh. 3 - Prob. 17RECh. 3 - Prob. 18RECh. 3 - Prob. 19RECh. 3 - Prob. 20RECh. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 23RECh. 3 - Prob. 24RECh. 3 - Prob. 25RECh. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Prob. 28RECh. 3 - In Exercises 29–38, plot the graphs of the given...Ch. 3 - Prob. 30RECh. 3 - Prob. 31RECh. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - Prob. 35RECh. 3 - Prob. 36RECh. 3 - Prob. 37RECh. 3 - Prob. 38RECh. 3 - Prob. 39RECh. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Prob. 42RECh. 3 - Prob. 43RECh. 3 - Prob. 44RECh. 3 - Prob. 45RECh. 3 - Prob. 46RECh. 3 - Prob. 47RECh. 3 - Prob. 48RECh. 3 - Prob. 49RECh. 3 - Prob. 50RECh. 3 - Prob. 51RECh. 3 - Prob. 52RECh. 3 - Prob. 53RECh. 3 - Prob. 54RECh. 3 - Prob. 55RECh. 3 - Prob. 56RECh. 3 - Prob. 57RECh. 3 - Prob. 58RECh. 3 - Prob. 59RECh. 3 - Prob. 60RECh. 3 - Prob. 61RECh. 3 - Prob. 62RECh. 3 - Prob. 63RECh. 3 - Prob. 64RECh. 3 - Prob. 65RECh. 3 - Prob. 66RECh. 3 - Prob. 67RECh. 3 - Prob. 68RECh. 3 - Prob. 69RECh. 3 - Prob. 70RECh. 3 - Prob. 71RECh. 3 - Prob. 72RECh. 3 - Prob. 73RECh. 3 - Prob. 74RECh. 3 - Prob. 75RECh. 3 - Prob. 76RECh. 3 - Prob. 77RECh. 3 - Prob. 78RECh. 3 - Prob. 79RECh. 3 - Prob. 80RECh. 3 - Prob. 81RECh. 3 - Prob. 82RECh. 3 - Prob. 83RECh. 3 - Prob. 84RECh. 3 - Prob. 85RECh. 3 - Prob. 86RECh. 3 - Prob. 87RECh. 3 - Prob. 88RECh. 3 - Prob. 89RECh. 3 - Prob. 90RECh. 3 - Prob. 91RECh. 3 - Prob. 92RECh. 3 - Prob. 93RECh. 3 - Prob. 94RECh. 3 - Prob. 95RECh. 3 - Prob. 96RECh. 3 - Prob. 1PTCh. 3 - Prob. 2PTCh. 3 - Prob. 3PTCh. 3 - Prob. 4PTCh. 3 - Prob. 5PTCh. 3 - Prob. 6PTCh. 3 - Prob. 7PTCh. 3 - Prob. 8PTCh. 3 - Prob. 10PTCh. 3 - Prob. 11PTCh. 3 - From the table in Problem 11, find the voltage for...
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- Theorem 7.2 Suppose that E X = 0 for all k, that Var X = 0} x) ≤ 2P(S>x 1≤k≤n S√2), -S√2). P(max Sk>x) ≤ 2P(|S|>x- 1arrow_forwarda) [1√2-31x+1√3-11y = x (1 - √2) + √34 LI√2-21x-1√3-3/4= √34 - √2x-4arrow_forwardThree players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).If the chooser's declarations are Chooser 1: {s3} and Chooser 2: {s3}, which of the following is a fair division of the cake?arrow_forwardLemma:- Let x = AX, Y° = By where A = B= 0 Bo then the linear system X = AX Y = BY are Linearly equivalent iff B=α.arrow_forwardTheorem 1.4 (Chebyshev's inequality) (i) Suppose that Var X x)≤- x > 0. 2 (ii) If X1, X2,..., X, are independent with mean 0 and finite variances, then Στη Var Xe P(|Sn| > x)≤ x > 0. (iii) If, in addition, X1, X2, Xn are identically distributed, then nVar Xi P(|Sn> x) ≤ x > 0. x²arrow_forwardTheorem 2.5 (The Lyapounov inequality) For 0arrow_forwardTheorem 1.6 (The Kolmogorov inequality) Let X1, X2, Xn be independent random variables with mean 0 and suppose that Var Xk 0, P(max Sk>x) ≤ Isk≤n Σ-Var X In particular, if X1, X2,..., X, are identically distributed, then P(max Sx) ≤ Isk≤n nVar X₁ x2arrow_forwardTheorem 3.1 (The Cauchy-Schwarz inequality) Suppose that X and Y have finite variances. Then |EXYarrow_forwardAbout 25% of people in America use a certain social media website. In a group with 20 people (assume that it is a random sample of people in America), what are the following probabilities? (Round your answers to three decimal places.) a) At least one of them uses the website. b) More than two of them use the website. c) None of them use the website. d) At least 18 of them do not use the website. please show all steps and work for probabilities. answer parts a-d.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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