1. True or False and Why. (a) {{1}, {42}} = {1,42} (b) U{{1}, {42}} = {1, 42} (c) U{1, {1,42}} = is What? Why?
Q: 3.33 Let 2 -1 0 4 3 -1 1 6. 1 -3 -4 1 | A = and B -3 1 2 1 -4 3 0 0 1 1 -1 -1 1 Find Err(A, B) and…
A: To find Err(A, B) and PSNR(A, B) where A=2−10410−32−31210110 and B=3−11600−41−43000−1−11
Q: 1. Find the number of ways that 7 lecturers in the CIE review be assigned to 3 classes if no…
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Q: 10 What is the preimage of (3, 5) under the translation (x, y) (x-4, y + 6)? O (7, -1) O (1, 1) O(1,…
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Q: 12. What is the center of (0.1, 0.3, 0.02, 0.09, 0.4, 0.05, 0.26}? 0.2 O 0.3 0.4 O 0.1
A: Solution: 12. The given data is 0.1, 0.3, 0.02, 0.09, 0.4, 0.05 and 0.26.
Q: prove : 1+1/(3)2+1/(5)2+1/(7)2+...=(pie)2/8
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Q: If A={0, 11} and B={00, 01}, then AB=... 1. О {000, 0011, 010, 0111} 2. О {00, 011, 110, 1111} 3. О…
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Q: Human blood can contain the A antigen, the B antigen, both the A and B antigens, or neither antigen.…
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Q: (a) a certain test tube contains 2 micro-organisms, (b) exactly 3 out of 5 test tubes contain 2…
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Q: 1. A₁-[0,4], A2-[1,5), A3= [0.5,3], A4- (1,9] As 2. A₁-[0,4], A₂-[1,5), A3- [0.5,3], A- (1,9] As 3.…
A: Given- Ω=set of all real numbers A= index set To identify the generalized union and intersection…
Q: 2.77 1.49 2.57 2.43 2.94 1.35 2.43 2.43 2.27 1.13 2.32 2.49 3.27 1.32 2.48 3.04 (XP-Xp)2 8 (S2)-…
A: Given data: No. P1 P2 F1 F2 1 2.94 1.25 2.37 2.24 2 2.89 1.07 2.52 2.37 3 2.49 1.66 2.77…
Q: 3. If A = {1, 2} and B = {x, y}, then AXB = O {1,x), (1,y), (2,x), (2,y)} O {1,x), (2.y)} none of…
A: We have to solve given problem:
Q: 16.) If u= (2, k, 1, 4) and v= (3,-1, 6,-3), find k such that ||u – v|| = 6
A: Given: u=2,k,1,4 v=3,-1,6,-3 u-v=6 u-v=2,k,1,4-3,-1,6,-3…
Q: True or False and Why. {{1}, {42}} = {1, 42} U{{1}, {42}} = {1, 42} U{1, {1,42}} = = is What? Why?
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Q: Suppose i = (-3, –3, –5) and v = (-1, –5, –1). Then ů x ở is and i x ũ is
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Q: Suppose u (3, 2, – 4) and ī = (-5, –4, –4). Then: | u + v=| v= u= 7u= 2u 3v=
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Q: (6) +() + (^) = 2" is it ? 4---+ wh is that?
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Q: 4 A school has 137 math students. a) Prove that if the principal hires 8 math teachers, then at…
A: According to the given information, Number of math students in school = 137 For part (a) it is…
Q: 6. What is the center of {0.1, 0.3, 0.02, 0.09, 0.4, 0.05, 0.26}? O 0.4 O 0.1 0.3 O 0.2
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Q: If U = {0,1,2,3,4,5,6,7,8,9}, find (U∪∅)'
A: Given that If U = {0,1,2,3,4,5,6,7,8,9}, find (U∪∅)'
Q: 3. Prove or disprove: U(8) Z.
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Q: [0,1] is not countabe. صواب İhi O
A: True
Q: 1.Universal Set { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A – { 0, 1, 2, 5, 7, 9, 10} and Set B – {…
A: According to company policy we are allowed to provide solution for only 3 sub parts of one question.…
Q: 1. Let, a, = 3, az = 4 and for n 3, a, = 2a,-1+ an-2, express a, in terms of n.
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Q: Prove or disprove Arg)- Arg(z,) - Arg(z,)
A: The polar form of the complex number, z=x+iy , can be written as z=rcosθ+isinθ , where, r=x2+y2 and…
Q: 3. Prove: a) Bo(U,4,)=U,(BO4) b) BU(N,4)=N,(BU4)
A: a) B∩∪iAi=∪iB∩Aib) B∪∩iAi=∩iB∪Ai
Q: 2/32+3 Find de O a. 6x +2 2/3/2+3 2 30 2+3 6(3 2+2-1) 32+20-1 6x+2 Ob. 30 *2+3 6(3 2+2-1) O c.…
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Q: 1.15 0.23 =?
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Q: 1 1 1 1) Show that с 3(6 -а)(с-а)(с-b) а a? b? c?
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Q: 7-5{p}+3q7−5p+3q7, minus, 5, p, plus, 3, q when p=1p=1p, equals, 1 and q=7q=7q, equals, 7
A: We have to evaluate 7-5p+3q when given the values of p and q.
Q: 5. If A = I then what is A?
A: Here given as A2=I Taking determinant both side A2=IA2=1A=±1 Thus A is non singular and inverse of A…
Q: 1. A baseball team that has 15 players on its roster. Nine players will be selected for their…
A: Given that Number of people on its roster (n) = 15 Number of left handers = 5 Number of right…
Q: 2. A carton of 12 rechargeable batteries contains one that is defective. In how many ways can an…
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Q: 5- Determine whether each of the following is singular or nonsingular: [4 1 -2] i- A=1 7 3 5 8 [3 2…
A: A square matrix of size n x n is non singular if det(A) is not zero and singular if det(A) = 0
Q: 1. Compute n, μ, EX, and EX² 5, 7, 3, 4, 1 2. Compute n, EX, (EX)², and EX² X 7 5 6 2 3 f 2 3 4 2 1…
A: 1) n x x^2 1 5 25 2 7 49 3 3 9 4 4 16 5 1 1 sum 20 100 n=5 μ = ∑xn = 205 = 4 ∑x =…
Q: .) Universal Set { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A – { 0, 1, 2, 5, 7, 9, 10} and Set B – {…
A: Since you have asked multiple questions in single request so we will be answering only first…
Q: 4(1+ In²e) -1 de Otan-(In@)
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Q: 1 -2 -1 -2 -3 O 21 = 1, 12 %3D O None Ο λι -1, λ2 O 21 O 21 = -1, 12 = -2 %3D Ο λι-2, λ2
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Q: 3 it is kno ity P(A U
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Q: Is it true that 3 E {1, 3, 4, 6, 8, 9, 10}?
A: Given : Is 3∈{1,3,4,6,8,9,10}
Q: With U={1,2,3,..,9,10} and A={1,2,3,4,5}, B={1,2,4,8}, C={1,2,3,5,7}, D={2,4,6,8}. Determine(B-C)-D…
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Q: 9) Determine whether AMNO = AQRS. Explain. M(0,-1), N(-1,-4), 0(-4,-3), Q(3,-3), R(4,-4), S(3,3)
A: Given, M0,-1; N-1, 4; O-4, 3Q3, -3; R4, -4; S3, 3 We have to determine whether ∆MNO…
Q: 1-+- (-1)"4 (2n)! +. 4! 6! 3 -+- + (-1)"gm+1 + +. 5! (2n+1)!
A: The function is a rule that associates or fixes a number to the particular point x. If , then the…
Q: (9.1) Suppose u = (-6, 6) and v = (-2, –1). Find a. Ju| b. [2u с. и-v d. Ju – v|
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Q: 1. Compute n, μ, EX, and EX² 5, 7, 3, 4, 1 2. Compute n, EX, (EX)², and EX² X 7 6 5 4 3 2 1 f 3 2 1…
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Q: "4, and us.) v = (5, 2, –12, 13, 6) u = (1, 2, –3, 4, –1) u2 (1, 2, 0, 2, 1) U3 = (0, 1, 1, 1, -4)…
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Q: 1. In how many ways can 4 married couples coming to a dinner be seated at a round table of eight…
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Q: Suppose ū = (1,-5, 1) and ī = (0, –5, 3). Then: u + v= и — 0% U - u= 5u= 2u – T0=
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Q: If U= {1,2,3,4,5,… 20},A = {1,3,5,… 19} and B= {2,4,6,8,… 20}. Verify De Morgan’s law.
A: given, U=1,2,3,5,.......,20 , A=1,3,5,......,19 and B=2,4,6,........,20
Q: 30. (i) Verify that Hall's marriage condition is satisfied for the family {A₁, A₂, A3, A4, A5, A6}…
A: Hall's marriage condition is defined as let S be the family of finite subsets of X, where the…
Q: O 0.32 < mu1-mu2 < 2.72 O 1.66 < mu1-mu2 < 4.70 O 1.88 < mu1-mu2 < 4.92 O -0.55 < mu1-mu2 < 3.59 O…
A: Given : For population 1 x̄1 = 20.52 n1 = 19 s1 = 3.10
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- 1. Gravetter/Wallnau/Forzano, Essentials - Chapter 5 - End of Chapter question 25 For each of the following, identify the exam score that should lead to the better grade. A score of X = 60 on an exam with µ = 72 and σ = 12, or a score of X = 70 on an exam with µ = 82 and σ = 8? X = 60 corresponds to z = , and X = 70 corresponds to z = . Therefore,both scores produce the same grade . A score of X = 85 on an exam with µ = 70 and σ = 10, or a score of X = 58 on an exam with µ = 49 and σ = 6? X = 85 corresponds to z = , and X = 58 corresponds to z = . Therefore,the better grade would be X = 85, µ = 70, σ = 10 . A score of X = 32 on an exam with µ = 24 and σ = 4, or a score of X = 26 on an exam with µ = 20 and σ = 2? X = 32 corresponds to z = , and X = 26 corresponds to z = . Therefore,the better grade would be X = 26, µ = 20, σ = 2 .a man is investigating the populaion of bear in two areas. Area 1 and Area 2. He expect the number of bear to be X and Y in area 1 and area 2 to be Poisson- distributeted. He expect the number og bear to be λ1 = 3 in area 1 and λ2 = 5 in area 2. Find P(X = 2) and P(X ≥3) and find an approximate value expression for P(X = Y)An advantage of different emergence patterns for two species of a swarming insect is that they rarely emerge the same year to compete for food. Suppose that type A of the insect has a 5-year emergence cycle and type B of the insect has a 19-year cycle. If both species of the insect emerged during 2011 , when is the next year that both species will emerge during the same year?
- A company produces three different products; x,y, and z. For the production of 1 unit of product x, 1 unit of A and 1 unit of B are used as input. 1 unit of A and 2 units of B are used to produce 1 unit of product y. To produce 1 unit of product z, only 1 unit of A is used. The company holds 40 units of A and 20 units of B periodically in total. By the way, the company can not produce product y more than the twice of product z. On the other hand, the sale price of 1 unit of product x is 10 TL, product y is 15 TL and product z is 12 TL. Furthermore, the cost of 1 unit of product x is 8 TL, product y is 9 TL and product z is 7 TL. Solve the above problem by using Simplex Method. Linear ProgrammingA company produces three different products; x,y, and z. For the production of 1 unit of product x, 1 unit of A and 1 unit of B are used as input. 1 unit of A and 2 units of B are used to produce 1 unit of product y. To produce 1 unit of product z, only 1 unit of A is used. The company holds 40 units of A and 20 units of B periodically in total. By the way, the company can not produce product y more than the twice of product z. On the other hand, the sale price of 1 unit of product x is 10 TL, product y is 15 TL and product z is 12 TL. Furthermore, the cost of 1 unit of product x is 8 TL, product y is 9 TL and product z is 7 TL. Solve the above problem by using Simplex Method.A company produces three different products; x,y, and z. For the production of 1 unit of product x, 1 unit of A and 1 unit of B are used as input. 1 unit of A and 2 units of B are used to produce 1 unit of product y. To produce 1 unit of product z, only 1 unit of A is used. The company holds 40 units of A and 20 units of B periodically in total. By the way, the company can not produce product y more than the twice of product z. On the other hand, the sale price of 1 unit of product x is 10 TL, product y is 15 TL and product z is 12 TL. Furthermore, the cost of 1 unit of product x is 8 TL, product y is 9 TL and product z is 7 TL. According to above information, what should be the company’s optimal product mix to maximize its profit? Construct the problem as a Linear programming model.
- The average number of customers in the system in the single-channel, single-phase model described in Section 12.4 is L=λ/(μ – λ) Show that for m = 1 server, the multichannel queuing model in Section 12.5, is identical to the single-channel system. Note that the formula for P0 (Equation 12-13) must be utilized in this highly algebraic exercise.Give a clear and detailed solution of the intergral of e^-ct/m 2)Suppose a company manufactures different electronic components for a computer. Component A requires 2hours of fabrication and 1hour of assembly; Component B requires 3hours of fabrication and 1hour of assembly and component C requires 2hours of fabrication and 2hours of assembly. The company has up 1000 Labour hours for fabrication and 800 labour hours assembly each week. If proof on each component A,B, and C is K7,K8 and K10 respectively.How many of each should be produced to maximize?
- Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 40 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 40-minute interval) one otter initiates social grooming of another. Lambda = 6.8 (b) Find the probabilities that in your 40 minutes of observation, one otter will initiate social grooming four times, five times, and six times. (Round your answers to four decimal places.) P(4) = P(5) = P(6) =In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 30 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 30-minute interval) one otter initiates social grooming of another. a) What is ?? b) Write out the formula for the probability distribution of the random variable r. P(r) = _________ c) Find the probability that one otter will initiate social grooming four or more times during the 30-minute observation period. (Round your answer to four decimal places.)
