0. If k is a real number, then the real part of 2+i(ki – 3) is А. 2- k. В. -k. С. -1. D. k-3.

Q: then 7(1 - а)М? + 6(1 - а) Мт %3D ВM?, 7(1 - а)т? + 6(1 — а)Мт %3D Вт?, Subtracting we obtain Y(1 –…

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Q: Let X and Y be independent, and let X be N(10, 1) and Y be N(11, 1). PIX >Y),

A: From the given information, X and Y are independent random variables. Let X be a N(10, 1) variable…

Q: 11. If a = y2 and b = y, and -1sys3, then what is the largest possible difference between a and b?…

A: Please refer the attached image for complete solution.

Q: Do not use a calculator in this question. (4 V5 – 2)? V5 – 1 CamScanner로 스캔하기 Express in the form…

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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: ow that an = 3· an-1+2. %3| 10 d En=o(an – an-1). (You don't have to compute 310 or 3º, ..., leave…

A: In this question, the concept of the sequence is applied. Sequence A series is created by a…

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

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Q: find quotent and simpfly: r^2-s^2/r-s divde by r/r^2-sr

A: Given expression is,

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: 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: 11. If AJKL - AMKN, find the value of x. 12 N 20 x+1 Зх - 2 J

A: It is known that in a pair of similar triangles, the corresponding sides are proportional. It is…

Q: Find the argument of a + jb to 3 sf. Give your answer in the range -n to n.

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Q: b) Prove that 20 15 k Σ 3.2-Σ 96.2 %D i=5 k=0

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Q: given the following: A = {x ∈N : x2 ≤ 50}, B = {x ∈Z : −7 3 ≤ x < 4}, C = {x ∈R : |x| < 2} and D =…

A: Note: There are many subparts in the above question. So I will give the answer of the first four…

Q: 2. Find p and q such that |5x - 2| ≤4 implies Ps 23x-4 5 ≤q.

A: Given |5x-2|≤4

Q: @IF a=(2, -13) und L14,2,1) Find axb and bxq.

A: According to guideline we should able to do only one question at a time #1

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: Suppose that S and T are points on the number line , ST = 17 and S lies at 4, where could be located…

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Q: D show that || ū+ 1?= 11u| + l" if and ū ů =0 only if %3D

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

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Q: et, a1 = 3, a2 = 4 and for n > 3,an = 2an-1 + an-2 +n², express an in terms of n. %3D

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Q: z equals 1 If 1, then וא

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Q: Let A = -[-32-3] and B = (a) Find AB, A-1, and B-1. AB= 5-3 2-1 A-1 B-1 = (b) Show that (AB)-1 =…

A: a)AB=2-2-235-32-1AB=2(5)-2(2)2(-3)+2-2(5)+3(2)-2(-3)-3AB=10-4-6+2-10+66-3AB=[6-4-43]A-1=1AAdj(A)A-1=…

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 &lt; Z &lt; 2.84)=?

Q: Now we assume that P(r) is true, that is, r can be written as a sum of 3s and 5s, for any cases,…

A: We are given a statement and its proof. We need to answer two questions about the proof. More…

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…

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Q: Deduce from Q2 that if an integer N can be written as N = x² + ny² , and if a prime number q | N can…

A: We will use standard division algorithms to deduce the given statement.

Q: Match these values or r with the accompanying scatterplots: 0.761, 1, -0.396, -0.997, and -0.761

A: Correlation coefficient measures the strength and direction of the linear relationship between two…

Q: Show that e 12-1/31 2+3az| 2re?

A: The given inequality is                                           ∮|z-1|=1ezz+3dz≤2πe2 To prove the…

Q: 2. Given that P(AUB) = 0.76 and P(AU B')=0.87, find P(A).

A: We have given that,  P(AUB) = 0.76 and P(AUB') = 0.87 Then,  We will find P(A) = ?

Q: Supposernc N and n 4 0 Then show that rn is positive if and only if r is positive

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Q: Suppose ỹ = cje (:)- + czetx () is the general solution to = Aj. What is A O We don't have enough…

A: Use given differential equation y' = A y to find it.

Q: An integer x is odd if x2 is odd. Let x, y and z be integers. If x y and y z, then x | z. For any…

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Q: 4. Andre says that 5 +2 7 because 7 =7 Identify his mistake. Draw a picture to prove that he is…

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Q: 53. Suppose that a + 0. (a) If a · b = a·c, does it follow that b (b) If a X b = a X c, does it…

A: Given a, b, c are three vectors and a ≠ 0.

Q: 5. For non-negative integer n and r, where 1<rsn, show that (n-r+1)"C,1=n(""C,). r-1

A: Given n and r non negative integers with  1≤ r≤ n. We need to prove (n-r+1)nCr-1=n(n-1Cr-1)

Q: 2. O, rER-1? to be, Hn e N 1+/+--- +- 1-r Shoh that

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 5. Use the in verse motrices to find CAB) (AD ond (2A 22 ー1 4 /- 3. B. 11 2. 3. 3. 2. 2- 2. N/-

A: Given The given inverse matrices are A-1=12114-121123432-2,…

Q: 00 6 of 12 If = 72, which equation is true? %3D On=72÷9 %3D O n= 72 x 9 %3D On=9÷72 O n = = 72 +9

A: Given that n/9 =72

Q: Without calculating it, which of the following is the number of ways that the digits { 1, 2, 3, 4,…

A: The correct option is, Option (A) :  D7 which is the number of de-arrangement of 7 objects

Q: 9. In OP, QR = 7x – 20 and TS = 3x. What is x? -

A: Joining QP and TP, we get the radius of the circle.

Q: 3 and for n > 2, an = 2an-1+5, express an in terms of n. 1. Let, a1

A: The solution is given as

Q: Show that, by det by b2 92 •92 =TT (ai-bi) br b2 b3 an

A: We have to show that det111⋯1b1a1a1⋯a1b1b2a2a2⋮⋮⋮⋮b1b2b3⋯an=∏i=1nai−bi Let us consider the matrix…

Q: (2) Find the value of ß (,-)

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Q: 1 of the above number n, or (65) = Note that the other number is Therefore, we conclude that the…

A: Given that, number is 15  of the given number n

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

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Q: Given the values: n= 20, xbar= 5, O y_hat = 3 + 2.4x O y_hat = 52 + 25x O y = Bo + B1x+ ɛ O y_hat =…

A: SSxy = 24 SSxx = 10 SSyy = 52 n = 20 xbar = 5 ybar = 15

Q: Find a number z (except 0) such that Az³ + Bz²+ Cz = D 2 1 3 0 -2 -4 00 ^-[ ] ³-R2 :]-[+]-[1] B= 1 2…

A: Solution

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

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Q: Find two natural numbers n and m with n, m>26 and gcd⁡(n,m)=26. Then, for the numbers n and m you…

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