MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE
11th Edition
ISBN: 9781323751671
Author: Lial
Publisher: PEARSON C
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Chapter 8.5, Problem 61E
(a)
To determine
To calculate: The number of parts to be kept in hand to ensure that the probability of at least one of them works to be
(b)
To determine
If it is reasonable to assume that the event is independent.
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16. Solve the given differential equation:
y" + 4y sin (t)u(t 2π),
-
y(0) = 1, y'(0) = 0
Given,
1
(x² + 1)(x²+4)
1/3
-1/3
=
+
x²+1 x² +4
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R denotes the field of real numbers, Q denotes the field of rationals, and
Fp denotes the field of p elements given by integers modulo p. You may refer to general
results from lectures.
Question 1
For each non-negative integer m, let R[x]m denote the
vector space consisting of the polynomials in x with coefficients in R and of degree ≤ m.
x²+2, V3 = 5. Prove that (V1, V2, V3) is a linearly independent
(a) Let vi = x, V2 =
list in R[x] 3.
(b) Let V1, V2, V3 be as defined in (a). Find a vector v € R[×]3 such that (V1, V2, V3, V4)
is a basis of R[x] 3.
[8]
[6]
(c) Prove that the map ƒ from R[x] 2 to R[x]3 given by f(p(x)) = xp(x) — xp(0) is a
linear map.
[6]
(d) Write down the matrix for the map ƒ defined in (c) with respect to the basis
(2,2x + 1, x²) of R[x] 2 and the basis (1, x, x², x³) of R[x] 3.
[5]
Question 4
(a) The following matrices represent linear maps on R² with respect to an
orthonormal basis:
=
[1/√5 2/√5
[2/√5 -1/√5]
"
[1/√5 2/√5]
A =
B =
[2/√5 1/√5] 1
C =
D =
=
=
[ 1/3/5 2/35]
1/√5 2/√5
-2/√5 1/√5'
For each of the matrices A, B, C, D, state whether it represents a self-adjoint
linear map, an orthogonal linear map, both, or neither.
(b) For the quadratic form
q(x, y, z) = y² + 2xy +2yz
over R, write down a linear change of variables to u, v, w such that q in these
terms is in canonical form for Sylvester's Law of Inertia.
[6]
[4]
Chapter 8 Solutions
MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE
Ch. 8.1 - Checkpoint 1
Indicate whether each statement is...Ch. 8.1 - Prob. 2CPCh. 8.1 - Prob. 3CPCh. 8.1 - Prob. 4CPCh. 8.1 - Checkpoint 5
Find the number of subsets for each...Ch. 8.1 - Prob. 6CPCh. 8.1 - Prob. 7CPCh. 8.1 - Prob. 8CPCh. 8.1 - Prob. 9CPCh. 8.1 - Prob. 10CP
Ch. 8.1 - Write true or false for each statement. (See...Ch. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - Write true or false for each statement. (See...Ch. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10ECh. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Find the number of subsets of the given set. (See...Ch. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Insert or to make each statement true. (See...Ch. 8.1 - Prob. 30ECh. 8.1 - Insert or to make each statement true. (See...Ch. 8.1 - Insert or to make each statement true. (See...Ch. 8.1 - Insert or to make each statement true. (See...Ch. 8.1 - Insert or to make each statement true. (See...Ch. 8.1 - Insert or to make each statement true. (See...Ch. 8.1 - Prob. 36ECh. 8.1 - Prob. 37ECh. 8.1 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Prob. 40ECh. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Prob. 45ECh. 8.1 - Prob. 46ECh. 8.1 - Prob. 47ECh. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - Prob. 54ECh. 8.1 - Prob. 55ECh. 8.1 - Prob. 56ECh. 8.1 - Prob. 57ECh. 8.1 - Prob. 58ECh. 8.1 - Food and Drink Sales Sales (in millions of...Ch. 8.1 - Prob. 60ECh. 8.1 - Prob. 61ECh. 8.1 - Prob. 62ECh. 8.1 - Prob. 63ECh. 8.1 - Prob. 64ECh. 8.1 - Prob. 65ECh. 8.1 - Prob. 66ECh. 8.1 - Prob. 67ECh. 8.1 - Prob. 68ECh. 8.1 - Prob. 69ECh. 8.1 - Prob. 70ECh. 8.1 - Prob. 71ECh. 8.1 - Prob. 72ECh. 8.1 - Prob. 73ECh. 8.1 - Prob. 74ECh. 8.1 - Prob. 75ECh. 8.1 - Prob. 76ECh. 8.1 - Prob. 77ECh. 8.1 - Farm Products The following table gives the amount...Ch. 8.2 - Checkpoint 1
Draw Venn diagrams for the given set...Ch. 8.2 - Prob. 2CPCh. 8.2 - Checkpoint 3
(a) Place numbers in the regions on a...Ch. 8.2 - Prob. 4CPCh. 8.2 - Checkpoint 5
In example 5, suppose 75 patients...Ch. 8.2 - Prob. 6CPCh. 8.2 - Prob. 7CPCh. 8.2 - Sketch a Venn diagram like the one shown, and use...Ch. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Use Venn diagrams to answer the given questions....Ch. 8.2 - Use Venn diagrams to answer the given questions....Ch. 8.2 - 19. Business The human resources director for a...Ch. 8.2 - 20. Business A pet store keeps track of the...Ch. 8.2 - 21. Natural Science A marine biologist surveys...Ch. 8.2 - 22. Health Human blood can contain either no...Ch. 8.2 - 23. Natural Science Use the diagram from Exercise...Ch. 8.2 - 24. Business In reviewing the portfolios of 365 of...Ch. 8.2 - For Exercises 25-30, use the given contingency...Ch. 8.2 - For Exercises 25-30, use the given contingency...Ch. 8.2 - Life Classification In Exercises 27 and 28, the...Ch. 8.2 - Life Classification In Exercises 27 and 28, the...Ch. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - 30. If n(A) =5, n(B) = 8, and n( A ∩ B) = 4, what...Ch. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.3 - Checkpoint 1
Draw a tree diagram for the random...Ch. 8.3 - Checkpoint 2
Suppose a die is tossed. Write the...Ch. 8.3 - Checkpoint 3
Which of the events listed in...Ch. 8.3 - Checkpoint 4
Write the set notation for the given...Ch. 8.3 - Checkpoint 5
In Example 5, let F = {2, 4, 6}, K =...Ch. 8.3 - Checkpoint 6
A fair die is rolled. Find the...Ch. 8.3 - Checkpoint 7
A single playing card is drawn at...Ch. 8.3 - Checkpoint 8
From the data given in Example 8,...Ch. 8.3 - 1. What is meant by a “fair” coin or die?
Ch. 8.3 - 2. What is the sample space for a random...Ch. 8.3 - 3. A month of the year is chosen for a...Ch. 8.3 - Write sample spaces for the random experiments in...Ch. 8.3 - Write sample spaces for the random experiments in...Ch. 8.3 - Write sample spaces for the random experiments in...Ch. 8.3 - Write sample spaces for the random experiments in...Ch. 8.3 - Write sample spaces for the random experiments in...Ch. 8.3 - Write sample spaces for the random experiments in...Ch. 8.3 - 10. Define an event.
Ch. 8.3 - 11. Define disjoint events in your own words.
Ch. 8.3 - Decide whether the events are disjoint. (See...Ch. 8.3 - Decide whether the events are disjoint. (See...Ch. 8.3 - Decide whether the events are disjoint. (See...Ch. 8.3 - Decide whether the events are disjoint. (See...Ch. 8.3 - Decide whether the events are disjoint. (See...Ch. 8.3 - Decide whether the events are disjoint. (See...Ch. 8.3 - For the random experiments in Exercises 18–20,...Ch. 8.3 -
For the random experiments in Exercises 18–20,...Ch. 8.3 - For the random experiments in Exercises 18–20,...Ch. 8.3 - In Exercises 21–23, write out the sample space and...Ch. 8.3 - In Exercises 21–23, write out the sample space and...Ch. 8.3 - In Exercises 21–23, write out the sample space and...Ch. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - A single fair die is rolled. Find the...Ch. 8.3 - A single fair die is rolled. Find the...Ch. 8.3 - A single fair die is rolled. Find the...Ch. 8.3 - David Klein wants to adopt a puppy from an animal...Ch. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Business The following table gives the number of...Ch. 8.3 - Business The following table gives the number of...Ch. 8.3 - 39. Social Science Respondents to the 2012 General...Ch. 8.3 - Prob. 40ECh. 8.3 - S&P 500 As of March 7, 2017, the 505 stocks in the...Ch. 8.3 - SP 500 As of March 7, 2017, the 505 stocks in the...Ch. 8.3 - Prob. 43ECh. 8.3 - Prob. 44ECh. 8.3 - Prob. 45ECh. 8.3 - Prob. 46ECh. 8.3 - Prob. 47ECh. 8.3 - Prob. 48ECh. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.3 - Prob. 51ECh. 8.3 - Prob. 52ECh. 8.4 - Checkpoint 1
If an American roulette wheel is...Ch. 8.4 - Checkpoint 2
In the random experiment of Example...Ch. 8.4 - Prob. 3CPCh. 8.4 - Checkpoint 4
(a) Let Find
(b) If find
Ch. 8.4 - Prob. 5CPCh. 8.4 - Prob. 6CPCh. 8.4 - Prob. 7CPCh. 8.4 - Prob. 8CPCh. 8.4 - Prob. 9CPCh. 8.4 - Assume a single spin of the roulette wheel is...Ch. 8.4 - Assume a single spin of the roulette wheel is...Ch. 8.4 - Assume a single spin of the roulette wheel is...Ch. 8.4 - Also with a single spin of the roulette wheel,...Ch. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Two dice are rolled. Find the probabilities of...Ch. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Tami goes shopping and sees three kinds of shoes:...Ch. 8.4 - Ms. Elliott invites 10 relatives to a party: her...Ch. 8.4 - Prob. 16ECh. 8.4 - Use Venn diagrams to work Exercises 17–21. (See...Ch. 8.4 - Prob. 18ECh. 8.4 - Use Venn diagrams to work Exercises 17–22. (See...Ch. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - Prob. 27ECh. 8.4 - 28. Find the odds of not drawing a white marble in...Ch. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - Education For Exercises 31–34, find the odds of...Ch. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Government Revenue For Exercises 3538, convert the...Ch. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Government Revenue For Exercises 3538, convert the...Ch. 8.4 - Prob. 39ECh. 8.4 - Prob. 40ECh. 8.4 - S&P 500 Stocks For Exercises 39–46, use the...Ch. 8.4 - Prob. 42ECh. 8.4 - One way to solve a probability problem is to...Ch. 8.4 - One way to solve a probability problem is to...Ch. 8.4 - One way to solve a probability problem is to...Ch. 8.4 - Prob. 58ECh. 8.4 - SP 500 Stocks For Exercises 3946, use the...Ch. 8.4 - SP 500 Stocks For Exercises 3946, use the...Ch. 8.4 - Prob. 45ECh. 8.4 - S&P 500 Stocks For Exercises 39–46, use the...Ch. 8.4 - Hours Worked Data from the 2016 General Social...Ch. 8.4 - Hours Worked Data from the 2016 General Social...Ch. 8.4 - Hours Worked Data from the 2016 General Social...Ch. 8.4 - Hours Worked Data from the 2016 General Social...Ch. 8.4 - Hours Worked Data from the 2016 General Social...Ch. 8.4 - Hours Worked Data from the 2016 General Social...Ch. 8.4 - Hours Worked Data from the 2016 General Social...Ch. 8.4 - Prob. 54ECh. 8.4 - Prob. 59ECh. 8.4 - Prob. 60ECh. 8.5 - ✓ Checkpoint 1
Use the date in the table to...Ch. 8.5 - Prob. 2CPCh. 8.5 - Prob. 3CPCh. 8.5 - Checkpoint 4
In Example 3, find the probability...Ch. 8.5 - Prob. 5CPCh. 8.5 - Prob. 6CPCh. 8.5 - Prob. 7CPCh. 8.5 - Prob. 8CPCh. 8.5 - Prob. 9CPCh. 8.5 - Prob. 10CPCh. 8.5 - Prob. 11CPCh. 8.5 - Prob. 12CPCh. 8.5 - If a single fair die is rolled, find the...Ch. 8.5 - If a single fair die is rolled, find the...Ch. 8.5 - If a single fair die is rolled, find the...Ch. 8.5 - Prob. 4ECh. 8.5 - If two fair dice are rolled (recall the 36-outcome...Ch. 8.5 - If two fair dice are rolled (recall the 36-outcome...Ch. 8.5 - If two cards are drawn without replacement from an...Ch. 8.5 - Prob. 8ECh. 8.5 - If two cards are drawn without replacement from an...Ch. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - Prob. 13ECh. 8.5 - 14. A student reasons that the probability in...Ch. 8.5 - Decide whether the two events listed are...Ch. 8.5 - Prob. 16ECh. 8.5 - Prob. 17ECh. 8.5 - Prob. 18ECh. 8.5 - Decide whether the two events listed are...Ch. 8.5 - Decide whether the two events listed are...Ch. 8.5 - Firm Size According to data from the U.S. Small...Ch. 8.5 - Prob. 22ECh. 8.5 - Firm Size According to data from the U.S. Small...Ch. 8.5 - Firm Size According to data from the U.S. Small...Ch. 8.5 - Hours Worked Data from the 2016 General Social...Ch. 8.5 - Hours Worked Data from the 2016 General Social...Ch. 8.5 - Hours Worked Data from the 2016 General Social...Ch. 8.5 - Prob. 28ECh. 8.5 - Hours Worked Data from the 2016 General Social...Ch. 8.5 - Prob. 31ECh. 8.5 - Prob. 30ECh. 8.5 - Prob. 32ECh. 8.5 - Prob. 33ECh. 8.5 - Prob. 34ECh. 8.5 - Natural Science The following table shows...Ch. 8.5 - Prob. 36ECh. 8.5 - Natural Science The following table shows...Ch. 8.5 - Natural Science The following table shows...Ch. 8.5 - Natural Science The following table shows...Ch. 8.5 - Prob. 40ECh. 8.5 - Prob. 41ECh. 8.5 - Prob. 42ECh. 8.5 - Prob. 43ECh. 8.5 - Prob. 44ECh. 8.5 - Social Science The Motor Vehicle Department in a...Ch. 8.5 - Social Science The Motor Vehicle Department in a...Ch. 8.5 - Prob. 47ECh. 8.5 - Prob. 48ECh. 8.5 - Prob. 49ECh. 8.5 - Prob. 50ECh. 8.5 - Prob. 51ECh. 8.5 - Prob. 52ECh. 8.5 - Prob. 53ECh. 8.5 - Prob. 54ECh. 8.5 - Prob. 55ECh. 8.5 - Prob. 56ECh. 8.5 - Prob. 57ECh. 8.5 - Prob. 58ECh. 8.5 - Prob. 59ECh. 8.5 - Prob. 60ECh. 8.5 - Prob. 61ECh. 8.5 - Prob. 62ECh. 8.5 - Prob. 63ECh. 8.5 - Prob. 64ECh. 8.6 - Prob. 1CPCh. 8.6 - Prob. 2CPCh. 8.6 - Prob. 3CPCh. 8.6 - Prob. 4CPCh. 8.6 - Prob. 1ECh. 8.6 - Prob. 2ECh. 8.6 - Prob. 3ECh. 8.6 - Prob. 4ECh. 8.6 - Prob. 5ECh. 8.6 - Prob. 6ECh. 8.6 - Prob. 7ECh. 8.6 - Prob. 8ECh. 8.6 - S&P 500 Stocks On March 7, 2017, the probability...Ch. 8.6 - Prob. 10ECh. 8.6 - Prob. 11ECh. 8.6 - Prob. 12ECh. 8.6 - Economics Data from the Bureau of Labor Statistics...Ch. 8.6 - Prob. 14ECh. 8.6 - Prob. 15ECh. 8.6 - Prob. 16ECh. 8.6 - Prob. 17ECh. 8.6 - Prob. 18ECh. 8.6 - Prob. 19ECh. 8.6 - Prob. 20ECh. 8.6 - Prob. 21ECh. 8.6 - Prob. 22ECh. 8.6 - Prob. 23ECh. 8.6 - Prob. 24ECh. 8.6 - Business At the close of the markets on May 19,...Ch. 8.6 - Prob. 26ECh. 8.6 - Prob. 27ECh. 8.6 - Prob. 28ECh. 8.6 - Prob. 29ECh. 8.6 - Prob. 30ECh. 8.6 - Prob. 31ECh. 8.6 - Prob. 32ECh. 8.6 - Prob. 33ECh. 8.6 - Prob. 34ECh. 8.6 - Prob. 35ECh. 8.6 - Prob. 36ECh. 8 - Prob. 1RECh. 8 - Write true or false for each of the given...Ch. 8 - Write true or false for each of the given...Ch. 8 - Write true or false for each of the given...Ch. 8 - Write true or false for each of the given...Ch. 8 - Write true or false for each of the given...Ch. 8 - Write true or false for each of the given...Ch. 8 - Write true or false for each of the given...Ch. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - List the elements in the given sets. { xx is a...Ch. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Prob. 23RECh. 8 - Draw a Venn diagram and shade the given set in...Ch. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Confidence in Major Corporations The following...Ch. 8 - Prob. 54RECh. 8 - Confidence in Major Corporations The following...Ch. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Prob. 59RECh. 8 - Prob. 60RECh. 8 - Prob. 61RECh. 8 - Prob. 62RECh. 8 - Prob. 63RECh. 8 - Prob. 64RECh. 8 - Prob. 65RECh. 8 - Prob. 66RECh. 8 - Prob. 67RECh. 8 - Prob. 68RECh. 8 - Prob. 69RECh. 8 - Prob. 70RECh. 8 - Prob. 71RECh. 8 - Prob. 72RECh. 8 - Prob. 73RECh. 8 - Prob. 74RECh. 8 - Prob. 75RECh. 8 - Prob. 76RECh. 8 - Prob. 77RECh. 8 - Prob. 78RECh. 8 - Give examples. Stock Market Performance On May 12,...Ch. 8 - Prob. 80RECh. 8 - Prob. 81RECh. 8 - Give examples. Stock Market Performance On May 18,...Ch. 8 - Prob. 83RECh. 8 - Prob. 84RECh. 8 - Prob. 85RECh. 8 - Prob. 86RECh. 8 - Prob. 87RECh. 8 - Prob. 88RECh. 8 - Prob. 89RECh. 8 - Prob. 90RECh. 8 - Prob. 91RECh. 8 - Prob. 92RECh. 8 - Social Science The following tables list the...Ch. 8 - Prob. 94RECh. 8 - 91. Are the events “third-class survival” and...Ch. 8 - 92. Are the events “first-class survival” and...Ch. 8 - Prob. 1CECh. 8 - 2. If the sensitivity of a test for a disease is...Ch. 8 - Prob. 3CECh. 8 - Prob. EP
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- part b pleasearrow_forwardQuestion 5 (a) Let a, b, c, d, e, ƒ Є K where K is a field. Suppose that the determinant of the matrix a cl |df equals 3 and the determinant of determinant of the matrix a+3b cl d+3e f ГЪ e [ c ] equals 2. Compute the [5] (b) Calculate the adjugate Adj (A) of the 2 × 2 matrix [1 2 A = over R. (c) Working over the field F3 with 3 elements, use row and column operations to put the matrix [6] 0123] A = 3210 into canonical form for equivalence and write down the canonical form. What is the rank of A as a matrix over F3? 4arrow_forwardQuestion 2 In this question, V = Q4 and - U = {(x, y, z, w) EV | x+y2w+ z = 0}, W = {(x, y, z, w) € V | x − 2y + w − z = 0}, Z = {(x, y, z, w) € V | xyzw = 0}. (a) Determine which of U, W, Z are subspaces of V. Justify your answers. (b) Show that UW is a subspace of V and determine its dimension. (c) Is VU+W? Is V = UW? Justify your answers. [10] [7] '00'arrow_forward
- Good explanation it sure experts solve itarrow_forwardBest explains it not need guidelines okkarrow_forwardTask number: A1.1, A1.7 Topic: Celestial Navigation, Compass - Magnetic and Gyro Activ Determine compass error (magnetic and gyro) using azimuth choosing a suitable celestial body (Sun/ Stars/ Planets/ Moon). Apply variation to find the deviation of the magnetic compass. Minimum number of times that activity should be recorded: 6 (2 each phase) Sample calculation (Azimuth- Planets): On 06th May 2006 at 22h20m 10s UTC, a vessel in position 48°00'N 050°00'E observed Mars bearing 327° by compass. Find the compass error. If variation was 4.0° East, calculate the deviation. GHA Mars (06d 22h): Increment (20m 10s): 089° 55.7' 005° 02.5' v (0.9): (+) 00.3' GHA Mars: 094° 58.5' Longitude (E): (+) 050° 00.0' (plus- since longitude is easterly) LHA Mars: 144° 58.5' Declination (06d 22h): d (0.2): N 024° 18.6' (-) 00.1' Declination Mars: N 024° 18.5' P=144° 58.5' (If LHA<180°, P=LHA) A Tan Latitude/ Tan P A Tan 48° 00' Tan 144° 58.5' A = 1.584646985 N (A is named opposite to latitude, except when…arrow_forward
- Task number: A1.1, A1.7 Topic: Celestial Navigation, Compass - Magnetic and Gyro Activ Determine compass error (magnetic and gyro) using azimuth choosing a suitable celestial body (Sun/ Stars/ Planets/ Moon). Apply variation to find the deviation of the magnetic compass. Minimum number of times that activity should be recorded: 6 (2 each phase) Sample calculation (Azimuth- Planets): On 06th May 2006 at 22h20m 10s UTC, a vessel in position 48°00'N 050°00'E observed Mars bearing 327° by compass. Find the compass error. If variation was 4.0° East, calculate the deviation. GHA Mars (06d 22h): Increment (20m 10s): 089° 55.7' 005° 02.5' v (0.9): (+) 00.3' GHA Mars: 094° 58.5' Longitude (E): (+) 050° 00.0' (plus- since longitude is easterly) LHA Mars: 144° 58.5' Declination (06d 22h): d (0.2): N 024° 18.6' (-) 00.1' Declination Mars: N 024° 18.5' P=144° 58.5' (If LHA<180°, P=LHA) A Tan Latitude/ Tan P A Tan 48° 00' Tan 144° 58.5' A = 1.584646985 N (A is named opposite to latitude, except when…arrow_forwardActiv Determine compass error using amplitude (Sun). Minimum number of times that activity should be performed: 3 (1 each phase) Sample calculation (Amplitude- Sun): On 07th May 2006 at Sunset, a vessel in position 10°00'N 010°00'W observed the Sun bearing 288° by compass. Find the compass error. LMT Sunset: LIT: (+) 00d 07d 18h 00h 13m 40m UTC Sunset: 07d 18h 53m (added- since longitude is westerly) Declination (07d 18h): N 016° 55.5' d (0.7): (+) 00.6' Declination Sun: N 016° 56.1' Sin Amplitude = Sin Declination/Cos Latitude = Sin 016°56.1'/ Cos 10°00' = 0.295780189 Amplitude=W17.2N (The prefix of amplitude is named easterly if body is rising, and westerly if body is setting. The suffix is named same as declination) True Bearing=287.2° Compass Bearing= 288.0° Compass Error = 0.8° Westarrow_forwardOnly sure experts solve it correct complete solutions okkarrow_forward
- 4c Consider the function f(x) = 10x + 4x5 - 4x³- 1. Enter the general antiderivative of f(x)arrow_forwardTools Sign in Different masses and Indicated velocities Rotational inert > C C Chegg 39. The balls shown have different masses and speeds. Rank the following from greatest to least: 2.0 m/s 8.5 m/s 9.0 m/s 12.0 m/s 1.0 kg A 1.2 kg B 0.8 kg C 5.0 kg D C a. The momenta b. The impulses needed to stop the balls Solved 39. The balls shown have different masses and speeds. | Chegg.com Images may be subject to copyright. Learn More Share H Save Visit > quizlet.com%2FBoyE3qwOAUqXvw95Fgh5Rw.jpg&imgrefurl=https%3A%2F%2Fquizlet.com%2F529359992%2Fc. Xarrow_forward13. In 2000, two organizations conducted surveys to ascertain the public's opinion on banning gay men from serving in leadership roles in the Boy Scouts.• A Pew poll asked respondents whether they agreed with "the recent decision by the Supreme Court" that "the Boy Scouts of America have a constitutional right to block gay men from becoming troop leaders."A Los Angeles Times poll asked respondents whether they agreed with the following statement: "A Boy Scout leader should be removed from his duties as a troop leader if he is found out to be gay, even if he is considered by the Scout organization to be a model Boy Scout leader."One of these polls found 36% agreement; the other found 56% agreement. Which of the following statements is true?A) The Pew poll found 36% agreement, and the Los Angeles Times poll found 56% agreement.B) The Pew poll includes a leading question, while the Los Angeles Times poll uses neutral wording.C) The Los Angeles Times Poll includes a leading question, while…arrow_forward
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