8. Determine (MN)-1 where M (:) 5 and N -5 2
Q: 1. If N = 12, k = 8, and n = 5. Find P(2). %3D
A: X follows a hypergeometric distribution with N=12, K=8 and n=5 and k=2 We will use the formula:…
Q: Evaluate fc 713 where C : |z| = 2. Ans. fc z+1)3 Ti ( – 4). 1 z² (z+1)³
A:
Q: 12. Find mR. (8x – 12)° (3x + 5)° Ri P.
A: We have to find angel R
Q: 18. Identify the end benavior oT the grapns: a) -6 -8 -10
A: Graph
Q: 3. If AABC-AZXY, mZA- 50, and mzC-30, what is mX?
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Q: 40 28 60 427 O AA- O sss- O SAS- O Not Similar
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Q: Evaluate: E 4 · 4* 4. 4*- 1 O 248555 O 292247 O 349524
A:
Q: 9.NBT.4 & 3.0A.3) In one year, a factory used 11,650 meters of cotton, 4,950 Fewer meters of silk…
A: Solution :Cotton used in factory in a year = 11,650 m4,950 fewer meters of silk used than cotton So,…
Q: 4. Conclude that n2 n=1 ||
A:
Q: 3. Find and and y= ivative of
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Q: 4+48 llv C44 23. 14c < 9c + 5 ++++ +++++ -4 -3-2-1 0 1 2 3 4
A: We have to solve
Q: What is the coefficient of x7 in (3-x)10 O a. C(10,7)* -37 O b. C(10,3)* 3³ O c. P(10,7)* -33 O d.…
A: We have to find
Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4
A:
Q: Compute A - 31z and (313 )A, where A =
A: Given, A=5-14-44-6-321
Q: Compute A B, where A = AB= -5 6 -5 0 and B = 6 7 2 9
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Q: In Z15, compute (a) 6⊡5 = (b) 14⊞7 = (c) 9⊡10 =
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Q: 2) Find the o - Congugates ot; c) 5
A: 2. To Find: θ-conjugates of (c) 54 (d) 1+2
Q: 6. Compute 1,= de for p= 0,1 10
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Q: 1 Evaluate 6t – 20 – 32u when t = 6 and u 4
A: Given expression: 6t-20-32u
Q: Given 21 = 3+j4 and 22 = 6+ j8, compute 21 а. 22 21 + z2 b. 2122
A: Note the algebraic result of complex number: Convert into standard form where . Multiply…
Q: What is the coefficient of z12 in (6-12z)12 O a. P(12,6)* -612 O b. 1212 O c. C(12,12)* 612 O d.…
A: From the binomial expansion, a+bn=C(n,0)an+C(n,1)an-1b+C(n,2)an-2b2+...+C(n,0)bn The rth term of the…
Q: In a prefabricated building factory, 1000 molds, 400 of which are made of wood, found that 10% of…
A: GivenThe total number of molds =1000The molds made up of wood =400 The percentage of molds which are…
Q: 22. If 6log2x =18 , then x is
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Q: E, Ilmakes Ing (а) 0. (b) {1}. (с) 0. (а) {1,2}. (е) 1024 (f) 3002 _{1,2} _{1,2} {2" |n € N} {3п —…
A: We have to use simple logic to solve the given problem.
Q: If MZJKR = 96° and mZRKM = 79°, what is the m4JKM? K R
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Q: a) Suppose, T(n) = 1²+2²+3²+..+n2. Show that, T(n) is in O(n³). %3D .....
A: Big-⊖Notation: Let f and g be real valued functions and assume g is eventually position. We say that…
Q: 27) Calculate AC, BC and (A + B)C. Also, verify that (A + B)C = AC + BC 0 6 71 ΓΟ 1 1] 2 If A = -6 0…
A:
Q: 5.7.4. Show that the two formulas (r = y) and (S(r) = Š(y)) in N.
A: Hi, since there are 2 questions given, the first one is answered. Given - The formula x=y To prove…
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: 1. If m * n = square mn-n2, then 5 * 3 = 2. If 50 – 3x = x – 26, then x =
A: As the 1st question is not clear , I attempted the question assuming the square mn is square root of…
Q: 6-IN THE TO POLICE OFFICELS TOWN EACH DF TO woek ī WAKS POLICE i FLES
A: The number of police officer work are 14. The number of firefighter work are 16. The number of…
Q: Show that AB = O, even though A ≠ O and B ≠ O.
A:
Q: Is it true that, if k > n and B is full rank, then rank AB (ii) = rank A? Justify your answer.
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Q: 12 + 22,., +n? =n(n+ 1)(2n + 1), Vn eN
A: We will prove this as following.
Q: Assume that 12 + 22 + · · · + n2 = an3 + bn2 +en + d. Find a, b, c, and d.
A:
Q: If mZNSM = 71°, then what is mZLSP? L. R 1 K 3 2 M
A:
Q: What is the coefficient of x' in (3-x)10 O a. -C(10,3)* 33 O b. C(10,3)* 33 O . P(10,7)* -33 O d.…
A:
Q: 1 Verify that A² I when A а. -8
A:
Q: 7. Given that a = -3, a2 = = 4, and a, = 3a-1 - 5a-2 for n 2 3. What is a;?
A: a5 = 48
Q: 8.Show that for nZ. 13.3.-(21-1) 2n 2.4.6..2n.
A: We have to prove given result:
Q: 2. Determine if w = -1 is in Nul A, where 2 6. A = -3 2 -5 -4
A: Given matrix is A=264-325-5-41 The row transformation of the matrix A is, 10-1011000 The row reduced…
Q: 14. If m/ABC = 115°, find MLADB. (+ 6 (6r-11)
A: In this problem first, we need to find the x value from the given angle and then calculate the…
Q: r sub – in
A:
Q: 10. Given à = 5î – 2ĵ – 2k and B = 4î + ĵ – k, compute Proj A. %3D
A:
Q: 4. Andre says that 5 +2 7 because 7 =7 Identify his mistake. Draw a picture to prove that he is…
A:
Q: is ' (3n– 1)? n=1
A:
Q: What is the coefficient of z12 in (6-12z)12 O a. C(12,6)* -1212 O b. 1212 O c. C(12,12)* 612 O d.…
A:
Q: 9o = 1, In = In-1 + 2gn-2 + + ngo-
A: Given: g0=1 gn=gn-1+2gn-2+.....+ng0
Q: 2. u = 26, o = 4.5, n = 80, and x = 28.3 %3D %3D
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Q: ,a, = 3, a2= 4 and for n 2 3, a, = 2a,-1+ an-2 + 5, express a, in terms of n.
A: Solution
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.4. The lifetime, in years, of a type of small electric motor operating under adverse conditions is T ~Γ(6, 3.6). Whenever the motor fails, it is replaced with another of the same type. Find theprobability that fewer than 6 motors fail within one year.(a)analytically (b) For n=5, calculate by applying Simpson's 1/3 and 3/8 rule together. Analytical Also get the actual error using the solution.
- [URGENT] in 5 minutes Suppose, in a family the couple wishes to have exactly two female children. The occurrence of male and female births is equally likely. They will have children until this condition is fulfilled. How many children does the family expects to have?21x - 42y = 42 176x + ay = 352 What is this exceptional value for a?3.1 Suppose X ~ N(18, 7). What value of x has a z-score of -2.16? Round to 2 decimal places..
- 13.Show that the third-order Adams-Moulton formula is yn+1=yn+h12(5fn+1+8fn−fn−1).The problem is "Twelve percent of the job applicants for a large company have recently smoked marijuana. The company gives all applicants a drug test. The test is not perfect. The test has a sensitivity of 98%- meaning that 98% of those who have recently smoked marijuana will test positive, the other 2% will test negative. The test has a specificity of 96%- meaning that if someone has not recently smoked marijuana, the test will correctly yield a negative test result 96% of the time." M = applicant has recently smoke marijuanaC= applicant has not recently smoked marijuana (clean)X = positive test (test indicates that the person has not recently smoked marijuana recently)N= negative test (test indicates that the person has not recently smoke marijuana) a. What proportion of those who test positive have not recently smoked marijuana? b. What proportion of those who pass the drug test really shouldn’t have?The problem is "Twelve percent of the job applicants for a large company have recently smoked marijuana. The company gives all applicants a drug test. The test is not perfect. The test has a sensitivity of 98%- meaning that 98% of those who have recently smoked marijuana will test positive, the other 2% will test negative. The test has a specificity of 96%- meaning that if someone has not recently smoked marijuana, the test will correctly yield a negative test result 96% of the time." M = applicant has recently smoke marijuana C= applicant has not recently smoked marijuana (clean) X = positive test (test indicates that the person has not recently smoked marijuana recently) N= negative test (test indicates that the person has not recently smoke marijuana) a. draw a tree diagram for this case b. What proportion of the applicants get an incorrect test result? c. What proportion of the applicants test positive?
- Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forefinger in water and the resulting heat output (cal/cm2/min) was measured. For m = 9 subjects with the syndrome, the average heat output was x = 0.61, and for n = 9 nonsufferers, the average output was 2.09. Let ?1 and ?2 denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal with ?1 = 0.3 and ?2 = 0.5. (a) Consider testing H0: ?1 − ?2 = −1.0 versus Ha: ?1 − ?2 < −1.0 at level 0.01. Describe in words what Ha says, and then carry out the test. Ha says that the average heat output for sufferers is the same as that of non-sufferers.Ha says that the average heat output for sufferers is less than 1 cal/cm2/min below that of non-sufferers. Ha says that the average heat output for sufferers is more…Say you get a z-score of z = -1.21. Find 2 * Pr(Z ≥ |z|)3. Integrate the following by hand
