8. Evaluate: Σο 100 (2k + 1) k=1 9. Evaluate: Σ(, k=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: In(z,) – In(-V3 – 1) = -In(2) – 1

A: given the argument ∅ of the complex number -3-i as -5π6.and also the modulus of a complex number say…

Q: 2/5-x Evaluate Jae*dr O a. 1.895942 O b. 0.895942 O c.

A:

Q: Jo (1+ For which valMcs af v does twe tamproper inbeg

A: Ghh

Q: Suppose that an experimenter tossed three balanced coins. He defined X₁, to denote the number of…

A:

Q: IfΣ ( a+ bk) 4n_ and n+1 k-1 E(ar – br) +, then Ear n n+2 k=1 k-1 2 O None 2 2

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Q: 3. If AABC-AZXY, mZA- 50, and mzC-30, what is mX?

A:

Q: 40 28 60 427 O AA- O sss- O SAS- O Not Similar

A:

Q: 2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1 + an-2 + 5, express a, in terms of n.

A: Introduction: The disparities between every two successive terms in an arithmetic progression (AP)…

Q: {2, 3} CA implies that 2 E A and 3 e A. Select one: O True False

A:

Q: HoW: Find xcn) if: ns: KCn)=- 80 (ご+ 80(+)-52の()+en(ょ %3D + 12n²

A: Using partial fraction of the given expression.

Q: What is the first step to prove that S, 2+4 + 6+...+ 2n = n(2 + 1)? n(n + 1)? O Verify that S, is…

A: Here we have to determine the first step to prove that,  Sn⇒2+4+6+..........+2n=n(n+1)

Q: and pigs in a field totals 35. The as exactly two legs and each pig h pigs are in the field. (Do not…

A: Given: Four playing boys marbles and their names have given.

Q: | . ८ g in 6022 on T 3x Symbolic hotation and fractions where needed) Use

A:

Q: Q3: Prove that (9":n e Z) (3":ne Z) but (9":n E Z) (3":n E Z).

A: We have to prove that 9n:n∈ℤ⊆3n:n∈ℤ but 9n:n∈ℤ≠3n:n∈ℤ

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: O Determine rand s so that, 3.

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Q: Min. z = 4x1+3x2 s.t. 5x1 + 3x2 2 15 4x1 + 2x2 < 16 X1 20,x2 2 1

A:

Q: Find k given that (2, k) is equidistant from (3, 7) & (9, 1).

A: The distance between two points that have coordinates (x1, y1) and (x2, y2) is given by the formula:…

Q: 8. In the given 0 if mBC 130° , then find mAB-. %3D 5. O. B. 5,

A: In the following step we can calculate the value of angle which is asked

Q: If mz1 = 12°, then mz4 = %3D 3. 4 5/6 7/8 О 90° О 12° O 168° O 41°

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Q: It is known to be Q-N. Accordingly, show that QxQ ~ N.

A:

Q: ΔLMN, LN is extended through point N to point O, m∠NLM=(x−4)∘,  m∠MNO=(4x−17)∘,   and m∠LMN=(x+9)∘.…

A:

Q: 52 38 AA SAS O Not Similar

A: Using condition for similarity

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: ind p hat if x is 7 and n is 10

A: The provided information are: Number of success (x) = 7 Number of trials (n) = 10

Q: 8 of 22 If č = (-3, –5) and d = (-2, –6), find |47 – 2.5d|. V74 O 8/6 O 7/5 146

A:

Q: Is it true that, if k > n and B is full rank, then rank AB (ii) = rank A? Justify your answer.

A:

Q: One-ha!f of the class wore red and one-third of it wore biue. What part of the class wore either red…

A: let the total number of students in a class be x  Therefore the part of class who wore red is 12x…

Q: B. Express the following to fundamental principle of counting. 1. P3) 2. P (10,5) 3. P(4) 4. P() 5.…

A: we know that permutation formula = : P(n,r) = n! / (n-r)!

Q: 00 If an = 4 and> bn = 6, determine the value of >, (8a, + 7b„). n=1 n=1 n=1 Provide your answer…

A: We find sum of given series

Q: Suppose that, based on your roommate's expert knowledge, you set the ROPE for O at (-5, 5). Suppose…

A: We always consider a ROPE around a null value of a parameter Here, we set ROPE for θ at (-5,5 )…

Q: 12 + 22,., +n? =n(n+ 1)(2n + 1), Vn eN

A: We will prove this as following.

Q: If mZNSM = 71°, then what is mZLSP? L. R 1 K 3 2 M

A:

Q: (4). Show that of X~UCO,!) as Y=-n-X)~ txponenkalla),

A: i) Uniform distribution : If X follows Uniform distribution over interval (a, b ) then cumulative…

Q: Q2. If JANB| = 0, JAnc| = 0, Bnc = 1, how many ways can we choose three distinct elements. one from…

A:

Q: If 2 ak = 10 and 2 bk = 6, find the following values. %3D k = 1 k= 1 n bk Σ E (ak + bx). E (ak -…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: 2 find the der ivative d.

A: Consider a function is defined as, y=fx·gx The derivative of such a function is determined using…

Q: If (ar + bx) = 4n and n+1 k-1 (ak-br) = then ar = n+2 k=1 k-1

A:

Q: Suppose that X, Y ⊆ U. If n(X) = 24, n(Y ) = 18, and n(X ∩ Y ) = 14, what is n(X Compliment ∪ Y ) if…

A:

Q: If Lak 101n+5 then E 102ar %3D 102n+4 k=2 k=2

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: In (R, Tu), if A = (1,3) n (Q – Z) then - - A =

A:

Q: In (R, t,), if A = { :n E N}, then 3+n I(А) —

A: option (C).

Q: Defenmene te Solutzon at the paint (o,o) (Sn-2retst)

A:

Q: Show that for any neZ, n is either n= 4k n= 4ktI or n=Yk+2 n=4 K+3 or

A: Given below the detailed solution

Q: Given that Z - N(O, 1) use tables to evaluate correct to three decimal places then P(1.24 < Z <…

A: Required probability is P(1.24&lt;Z&lt;2.36)

Q: 4. Give the indirect proof of the statement "if n ie an inkger and n'tl is odd hen n is even.

A: We prove it by contradiction.

Q: 2. If (x, y) is a sa

A: As per the guidelines, we are supposed to solve one question. Kindly repost the other question as a…

Q: 6n_ and If (ar + bx) = n+1 k-1 , then 1 (ak – br) = 712 n+2 k-1 k-1

A: If ∑k=1nak+bk=6nn+1 .......................(1)  and  ∑k=1nak-bk=nn+2-1n ......................(2) we…