4. Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2+n², express an in terms of n. 5. Let, a1 = 1, az = 2, b1 = 0, b2 = 1, for n > 3, an = 2an-1 +b,-1 for n > 2 b, = bn-1+an-1 express an in terms of n.
Q: 9. Show that exp(iz) = exp(iz) if and only if z = nл (n = 0, ±1, 2, ...). (Compare
A: To prove that exp(iz)¯=exp(iz¯) if and only if z=nπn=0, ±1, ±2, . . ..
Q: 37.) Show all step to evaluate: SN NS /3-y² /3-y² dzdxdy
A: We have to find the value
Q: Suppose that an experimenter tossed three balanced coins. He defined X₁, to denote the number of…
A:
Q: 2 2/The third term of a geometric sequace whose First term 2 and its FiFth tom 162 is ? A- az a 18…
A:
Q: Find the product and addition of the approximate numbers x, = 32.452 and x, = 24.3595 all of whose…
A: x1=32.452 and x2=24.3595 To Find: a) Product and addition of the approximate numbers. b) Relative…
Q: The formula for calculating the sum of all natural integers from 1 to n is well-known: n² + n 2 Sn =…
A: Given: Sn= 1+2+3+.......................+n = n2+n2and,Qn=1.1+2.2+3.3+...............+n.n=n33+n22+n6
Q: The American Court Reporter Institute finds that the average student taking Elementary Machine…
A: Given : the average student taking elementary Machine shorthand will progress at the rate given…
Q: For this problem, assume the box contains 6 red balls, 7 blue balls, and 5 white balls, and that we…
A: Given that box contains 6 red balls, 7 blue balls, and 5 white balls. Total number of balls is…
Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…
A:
Q: Compute P(X1 + 2X2 − 2X3 > 7) if X1, X2, X3 are iid with commondistribution N(1, 4).
A:
Q: 3 E in (1 -) -in2 , . =-In2 =1 k2 –1 k=2
A: We will use the limit of partial sum
Q: If (n + 1)(n + 2)an+1x" - nan-1x" = 0, n=1 show that for k = 1, 2, 3, ..., we have 1.3.5... (2k - 1)…
A:
Q: 2. Count the number of rearrangements of the word TASTE in which no letter appears in any of its…
A:
Q: to: explicitly state the te- Σ2/ n=1
A:
Q: =3. Let a = [2₁1,-1], 5o = [4₁-5, 3] and C-[-1,-2,5]. compute ax (b + c). Show full steps.
A: We have to solve given Questions.
Q: (c) Show that a permutation o E S, commutes with r if and only if the permu- tation f(o) commutes…
A:
Q: D. Show that if an 3n3 - 17n2 + 2n - 6, then a, = O(n³).
A:
Q: A man finished a job in 5 days. On the first day, he finished 1/m of the job. On the second day, he…
A:
Q: Let X~ N (24, 49), Find P( 10<X< 38)
A: Given sample are: 24, 49 Mean of these samples are: μ=24+492=36.5 Standard deviation:…
Q: Suppose that Z~N(0,1). Then find Pr(2.78 < Z < 2.84)
A: Given data, Z~N(0,1) That is Mean=0 Standard deviation=1 P(2.78 < Z < 2.84)=?
Q: . Show that if an = 3n3 - 17n2 + 2n - 6, then an = Θ(n3).
A:
Q: If in a AP the sum of m tern=ms is equal to n and the sum of n terms is equal to n ,then prove that…
A:
Q: S Sech (ax-
A: Evaluating the integral of hyperbolic function using substitution.
Q: When are ~o attributesJaid to be positively assOCiated and nep'tive1y associated? Also define…
A: In the theory of attributes , the attributes A and B are said to be associated with each other only…
Q: 19. Show that (for n = 0, 1, 2,..) (a) F(-n, b; c; 1) = (c-b)n (c)₁
A: We have to show F-n,b;c;1=c-bncn Solution: By Pochhammer definition cn=Γc+nΓ(c) (1) and…
Q: iiion 125 correct to three
A: To find the approximation of (25)^1/3
Q: Consider the following LP Min z = 3x, + 2x, +7x, s.t - x, + x, = 10 -2x, + x, – x, <-10 1 Solve the…
A: Given, Min Z=3x1+2x2+7x3s.t, -x1+x2 =10 -2x1+x2-x3≤-10 The…
Q: 1. Show that for all z1, Z2 E C, Then we have: |Z1 + z2| < ]z1]+ |z2| 2. Show that for all z1, Z2 E…
A:
Q: Due to the high incidence of crime, a company is giving its employees new and secured access to the…
A: 90% of the time the door should open if the card is inserted because the door is not locked from…
Q: an 34an-1 – 289an-2 for n > 3 with initial conditions aj = 68, az = -1734. an
A:
Q: If (ar + bx) = 4n and n+1 k-1 (ak-br) = then ar = n+2 k=1 k-1
A:
Q: 21, Referring to Example 50.9, show that G(Q&2, i/3)/Q(i 3) ~ (Za, +).
A:
Q: 3. Let, a1 = 3,az = 4 and for n > 3, an = 2an-1+ an-2 – 5, express a, in terms of n. %3D %3D
A: An arithmetic progression is a sequence of numbers such that the difference d between each…
Q: 32, as 185, and a6 = 1121. Find a1, a2, 5an-1+ 6an-2+ lan-3 and a4 Suppose an and a3-
A:
Q: 3. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1+ an-2 + n² + 1, express a, in terms of n. %3D
A: Recurrence relation - it is an equation that denotes the nth term of a sequence as a function of…
Q: In a study of pain relievers, 50 people were given product A, and 33 experienced relief. In the same…
A: According to the given information in this question We need to fill in the blanks
Q: Suppose X∼N(μ=2,σ=0.5)X∼N(μ=2,σ=0.5) , then the z-score of x=2.7x=2.7 is choices: 1.4 1.1 1.6…
A: Given X∼N(μ=2,σ=0.5) and x=2.7
Q: . Let, a, = 1, az = 2, b; = 0, b2 = 1, for n2 3, a, = 2an-1 + bn-1 for n22 b, = br-1+ an-1 express…
A:
Q: 4 and for n > 3, an 2an-1 + an-2 + 5n, express an in terms of n %3D 2. Let, a1 = 3, a2
A:
Q: 8 Show that 1+2++ In S 1|+ |r2|++|rn| for any numbers r1, 22, ....
A: To show, x1+x2+.....+xn≤x1+x2+.....xn for any numbers x1, x2,....., xn . Which is generalized…
Q: If dfB = 3 and dfT = 29 and Fobt = 3.15, what would you conclude using a = 0.05?
A: From the given information,DfB = 3DfT = 29Fobt = 3.15
Q: A culture containing 16 bacteria doubles every day. Which of the following formulas represents the…
A: topic - exponential function
Q: A man finished a job in 5 days. On the first day, he finished 1/m of the job. On the second day, he…
A: Given - A man finished a job in 5 days. On the first day, he finished 1/m of the job. On the second…
Q: Final marks in Maria's Data Management class are based on 70% for term work, 15% for the exam, and…
A: From the given information we find term marks
Q: If s(n)=3n2−3n+5s(n)=3n2−3n+5, then s(n)=2s(n−1)−s(n−2)+cs(n)=2s(n−1)−s(n−2)+c for all integers…
A: Function represents the relation between dependent variable and independent variable. Function…
Q: The Domain of f (z) is [3, 00) and range of f(z) is [2, 3], then Select one: O a. domain of f(x) is…
A: Suppose we have a function f(x) whose inverse is f-1(x). Then the domain of the inverse function…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- Prove the half of Theorem 3.3 (e) that was not proved in the text.(!) In the morning section of a calculus course, 2 of the 9 women and 2 of the 10 men receive the grade of A. In the afternoon section, 6 of the 9 women and 9 of the 14 men receive A. Verify that, in each section, a higher proportion of women than of men receive A, but that, in the combined course, a lower proportion of women than of men receive A. Explain!in a certain city, 60% of the heads of household own the house in which they reside, and 80% of the heads of the household have full-time employment when considering what percentage of heads of household both own their home and have a full-time job, a student estimates that 48% of heads of household fit both requirements, stating that (0.60) (0.80)=0.48. is this student correct in his approach?
- A laundry detergent company wants to determine if a new formula of detergent, A, cleans better than the original formula, B. Researchers randomly assign 500 pieces of similarly soiled clothes to the two detergents, putting 250 pieces in each group. After washing the clothes, independent reviewers determine the cleanliness of the clothes on a scale of 1–10, with 10 being the cleanest. The researchers calculate the proportion of clothes in each group that receive a rating of 7 or higher. For detergent A, 228 pieces of clothing received a 7 or higher. For detergent B, 210 pieces of clothing received a rating of 7 or higher. Assuming the conditions for inference are met, what is the 90% confidence interval for the difference in proportions of clothes that receive a rating of 7 or higher for the two detergents?A laundry detergent company wants to determine if a new formula of detergent, A, cleans better than the original formula, B. Researchers randomly assign 500 pieces of similarly soiled clothes to the two detergents, putting 250 pieces in each group. After washing the clothes, independent reviewers determine the cleanliness of the clothes on a scale of 1–10, with 10 being the cleanest. The researchers calculate the proportion of clothes in each group that receive a rating of 7 or higher. For detergent A, 228 pieces of clothing received a 7 or higher. For detergent B, 210 pieces of clothing received a rating of 7 or higher. Assuming the conditions for inference are met, what is the 90% confidence interval for the difference in proportions of clothes that receive a rating of 7 or higher for the two detergents? Find the z-table here.A laundry detergent company wants to determine if a new formula of detergent, A, cleans better than the original formula, B. Researchers randomly assign 500 pieces of similarly soiled clothes to the two detergents, putting 250 pieces in each group. After washing the clothes, independent reviewers determine the cleanliness of the clothes on a scale of 1–10, with 10 being the cleanest. The researchers calculate the proportion of clothes in each group that receive a rating of 7 or higher. For detergent A, 228 pieces of clothing received a 7 or higher. For detergent B, 210 pieces of clothing received a rating of 7 or higher. Based on the 90% confidence interval, (0.02, 0.12), is there convincing evidence that the new formula of laundry detergent is better? A) There is convincing evidence because the interval is entirely above 0. B) There is not convincing evidence because the sample sizes are too small. C) There is convincing evidence because the number of clothing items receiving a…
- A diabetic patient needs at least 30 units of vitamin A, at least 45 of vitamin C, andat least 30 of vitamin E each day. Each brand X multivitamin capsule contains 4units of A, 6 of C, and 2 of E; each brand Y capsule contains 5 units of A, 3 of C,and 5 of E. If each brand X capsule costs ₱ 6 and each brand Y costs ₱ 9, howmany capsules should the patient take each day in order to minimize the cost?At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3(x − y) + 22 x + y = 50 + z + u and x − y + z − u = 58. How large was the audience of each of the four companies at the end of that year? Microsoft Time Warner Yahoo GoogleAt the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3(x − y) + 12 x + y = 44 + z + u and x − y + z − u = 36. How large was the audience of each of the four companies at the end of that year? Microsoft million Time Warner million Yahoo million Google million
- Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 63% were stolen by professionals (P), whereas 37% were stolen by amateurs (primarily for joy rides) (A). Of the vehicles presumed stolen by professionals, 25% were recovered within 48 hours (R<48), 23% were recovered after 48 hours (R>48), and 52% were never recovered (N). Of the vehicles presumed stolen by amateurs, 33% were recovered within 48 hours, 63% were recovered after 48 hours, and 4% were never recovered. (b) What is the probability that a vehicle stolen by a professional in this city will be recovered within 48 hours?(c) What is the probability that a vehicle stolen in this city will never be recovered? (Round your answer to four decimal places.)At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3(x − y) + 10 x + y = 50 + z + u and x − y + z − u = 46. How large was the audience of each of the four companies at the end of that 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 Programming
