28. Let A, B, and C be subsets of a set U with AcB and AnC=. Suppose also, that n(U) = 50, n(A) = 5, n(B) = n(C) = 25, and n(B'nC) = 10. What is n(A U (BnC))? %3D a) 15 b) 0 c) 20 d) 10 e) none of the others
28. Let A, B, and C be subsets of a set U with AcB and AnC=. Suppose also, that n(U) = 50, n(A) = 5, n(B) = n(C) = 25, and n(B'nC) = 10. What is n(A U (BnC))? %3D a) 15 b) 0 c) 20 d) 10 e) none of the others
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please answer #28 and explain your reasoning.
![26 Let K=
). Then K-1 =
a) [23)
[ 13 121
1/8 1/5
e) [] » [
b)
e) none of the others
0 0
21. A Markov chain has the transition matrix P = 1/3 1/3 1/3. If the chain starts in state 1,
1
1/2 o 12]
what is the probability that it will be in state 1 after 2 moves?
a) 12
b) 1/4
c) 18
d) 1
e) none of the others
28 Let A, B, and C be subsets of a set U with Ac B and AnC=4. Suppose also, that n(U) = 50,
n(A) = 5, n(B) = n(C) = 25, and n(B'n C') = 10. What is n(A U (BnC))?
a) 15
b) 0
c) 20
d) 10
e) none of the others
Part II
SHOW ALL YOUR WORK
29. Find all solutions of the following system of equations (show all work):
-x +z = -8
2x + y = 8
5x + y + z = 4
30. Formulate and solve the following linear programming problem. Show all work!
Ralph's Pretty Good Grocery makes two varieties of Raw Bits (the breakfast cereal for above
average people). Both versions use oat hulls and birch twigs. A box of Basic Bits uses 8
ounces of oat hulls and 6 ounces of birch twigs and a box of Lite Bits uses 4 ounces of oat hulls
and 12 ounces of birch twigs. Ralph has available 2880 ounces of oat hulls and 2880 ounces of
birch twigs. He makes a profit of 7 cents on each box of Basic Bits and 3 cents on each box of
Lite Bits. How many boxes of each type should he make to maximize his profit?
89](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae61d4f1-832a-4ede-b1d3-06ef4889bc0e%2Ff6ba5c48-55ea-480f-8692-034ceda00e4a%2F06ahtm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:26 Let K=
). Then K-1 =
a) [23)
[ 13 121
1/8 1/5
e) [] » [
b)
e) none of the others
0 0
21. A Markov chain has the transition matrix P = 1/3 1/3 1/3. If the chain starts in state 1,
1
1/2 o 12]
what is the probability that it will be in state 1 after 2 moves?
a) 12
b) 1/4
c) 18
d) 1
e) none of the others
28 Let A, B, and C be subsets of a set U with Ac B and AnC=4. Suppose also, that n(U) = 50,
n(A) = 5, n(B) = n(C) = 25, and n(B'n C') = 10. What is n(A U (BnC))?
a) 15
b) 0
c) 20
d) 10
e) none of the others
Part II
SHOW ALL YOUR WORK
29. Find all solutions of the following system of equations (show all work):
-x +z = -8
2x + y = 8
5x + y + z = 4
30. Formulate and solve the following linear programming problem. Show all work!
Ralph's Pretty Good Grocery makes two varieties of Raw Bits (the breakfast cereal for above
average people). Both versions use oat hulls and birch twigs. A box of Basic Bits uses 8
ounces of oat hulls and 6 ounces of birch twigs and a box of Lite Bits uses 4 ounces of oat hulls
and 12 ounces of birch twigs. Ralph has available 2880 ounces of oat hulls and 2880 ounces of
birch twigs. He makes a profit of 7 cents on each box of Basic Bits and 3 cents on each box of
Lite Bits. How many boxes of each type should he make to maximize his profit?
89
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