3. If the following two permutations P, and P,r-1 are equal, solve for r.

Q: If z| =5 and w =- z+5 then Re(w) is equal to

A: Introduction :

Q: 2. If P = {x|0 ≤ x ≤ 10} and Q = {x|5 < x < 20}, a) Find Pn Q b) Is 5 € Pn Q? c) Is 10 € Pn Q?

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Q: a) How many arrangements of "MATHEMATICS" are possible when 'H' immediately follows one of the 'T's,…

A: a)  Given : Total number of words =11 A repeated 2 times M repeated 2 times  T repeated 2 times…

Q: (a) the boy con only make UP pnd Right moves anly he de food? the How many parths (b) If he mandemly…

A: We will use basic logic to answer both parts. Note that in the question post, only two parts named…

Q: Solve the following SLE by using ERO: Q2 х + Зу — 2z Q1 х — 2у — 10 Зх + у 3D 9 - —х — у +4z 2х + у…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: |=1|+ |= 2 | |- |- | 3. If z3 + z,, show that VI +

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Q: EX.2.48: Nine people are going on a skiing trip in 3 cars that hold 2, 4, and 5 passengers,…

A: Total People = 9 Cars can hold 2, 4 and 5 passengers respectively Possibility of sharing the cars…

Q: 1) For each of the following scenarios, determine whether it is a permutation problem (order…

A: The main difference between permutation and combination is that permutation is the ordered…

Q: Solve for n if nP, = 6nP,, where P means permutation.

A: Formula of permutation: Prn=n!n-r! We are given that P5n=6×P3n So, using the formula:…

Q: Suppose that the side lengths of one of a pair of 5-con trianglesare given by the numbers (a, b, c),…

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Q: Given: 23 = Z1 Prove: АВ АС 2 3/6 E

A: Given: The angle ∠3 is equal to ∠1. Concept used: If the two angle of a triangle is equal then side…

Q: If x-Exp(5), then M,(t) is

A: Given,X~Exp(5)f(x)=5e-5x  ;   x≥0

Q: If e = 23, then z 4x

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Q: Solve the following re is correct with a proo a = 3 with a = a -1 +2k for all

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Q: Find a formula for sn, n > 1, if s, is given by 2 3 4 6 - - - 3' 5'7' 9 ' 11

A: We have to find Sn

Q: Suppose, X-Binom(m.0) and 8- Beta (a, B), then E(X) is equals to, b) d) maß aß ma α+ B me Answer B €…

A: Given: X|θ~Binom(m, θ) And θ~Beta(α, β) Formula Used: X~B(n, p) E(X) = np To Find: E(X) = ?

Q: and oh if as Find (i) hlYis) = L0ggo %3D

A: Given h(r,s)=logsr To find delh/delr and delh/dels

Q: 4. Show that for all formulas p, p,0 E S(P), (a) (9 = 4) = ¬(4 ^ ¬ab).

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Q: If "|xsin x|dr = kT, then the value of k is equal to

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Q: (b) If = 1, show that i=1

A: We will use Arithmetic Mean (AM)and Geometric mean(GM) inequality  to prove the given results…

Q: For what a is ||ai - 3j + k||=16

A: Topic - vectors

Q: 11. Solve the following and state the restriction(s) on x : x- 2 a) -3 2x+3 3 >2 2x+4 b) X+3 X+7 c)…

A: To solve the given equations and find restrictions on x

Q: | 4. If mZRST = (12x – 1)', MZRSU = (9x - 15)', and M2UST = 53", find each measure. U R MZRST = m.…

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Q: Let G = Z24 and N = . Then, [Z24/[ is 24 None of the choices

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Q: This month some of their patients will lose at least 7 lb. Last month some of their patients lost at…

A: Solution

Q: For the missing elements to satisfy the condition A¬1 + 14 = E 1 e b 3 5 -2 4 -2 i -3 2 A Ly 5 2 а…

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Q: Given: &lt;1 = &lt;2;&lt;4=&lt;5 What can you prove about PQ and RSI Be prepared to give your…

A: Given: ∠1=∠2, ∠4=∠5 We know that in a triangle if two angles are equal then there corresponding…

Q: Let X-bin(18,0.6), then P(5 <= X < 10) is closest to:

A: Given,A random variable X~Binomial(18 , 0.6)P(X=x)=18x 0.6x1-0.618-x P(X=x)=18x 0.6x0.418-x    ;…

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: 7- Find a given that A(0, a)is equidistant from P(3, -3) and Q(-2,2).

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Q: (d) utive but no two X's can be consecutive? How many permutations are there, if all three of the…

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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: Which of the following is nota possible rvalue? A. 1.6 О В. -0.6 С. 0.3 ) D. -0.3

A: In this case, we need to identify the correct option.

Q: If z1=cis(pi/3) and   z2=cis(pi/5),  what is      (z13/2)( z25/2 )  ?

A: Here , we will use De Moivre's  formula.  We know ,    i = sqrt( -1)                      i2 = -1

Q: If k = 3, df = 12, MSWithin = 45.33, n = 12, and alpha is set at .05, what is the value of Tukey's…

A: From the provided information, k = 3, df = 12, MSwithin = 45.33 and n = 12 Level of significance (α)…

Q: Which of the following sequeces in GP will have common ratio 3, where n is an Integer? a) gn = 2n2…

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Q: (x – 2)² – In x = 0, [1,2]

A: Follow the python script.

Q: If a + 0, the degree of ax"y" is

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Q: Find values of k that satisfy the following equation: JE 1 2 0 1 [1 1 k] 2 3 3 1 k

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Q: х, у, Z) %3D ху rection of Ff to two d

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Q: 9. If VW = 9x - 11 and SU = 16x – 12, find WT.

A: Given VW = 9x - 11 , SU = 16x -12 , WT = ? STUV is a rectangle , W is the midpoint of diagnols SU =…

Q: If X ~ N(u =37,0 =7.2) What is the P(X <21) Find æ such thatP(X < æ) =0.38?

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Q: ) Evaluate, using Cauchy formula C:2- (a) zz-l dz dz (6) ( e

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Q: + .... Ex. 5. Prove that P,(-) = P,(-}) P,(4) + P,(-1)P2m -1 () + -. Pa(-)P.().

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Q: The set of solutions to z^6=−i is?

A: We have to find The set of solutions to z^6=−i.

Q: Given the set of multiples of 5 defined by 5Z:= {m: m = 5n for all n e Z} together with the…

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Q: Derive its dual problem parumeter min E Ix;IP st. ehere x= (XいP ER ,A ERMP, AERY be

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Q: Show that yn Z, if n³+5 is odd then n is even

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