21 41 Verify the following directly if A = 1. B = |; .c = [, а. A(ВC) %3D (АB)C b. А(B+C) %3 AB + AC с. В(A-C) 3D ВА - ВС 2

Q: Ques uon 8) Choose |/| from the following: a. 05829 b. 0.6062 c. 0.6305 d. 0.6557 e. 0.6819 1.…

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Q: 11. If d || e, mZ6 = 9x - 4, and m28= 4x + 67, then a. m25 = 6 7 b. m27= 8 e

A: Supplementary and corresponding angles

Q: 11 6 linear combinations of x, y, and z, or show that it cannot be done. Let x = 120 and z = TTTT If…

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Q: 12. What can you conclude from (PV Q) ^ ¬P? Prove it.

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Q: 7. Show that if A and B are similar, then det A = det B. %3D

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Q: 2 Evaluate: :S,vte-t² dt.

A: Detailed explanation mentioned below

Q: 2 Let A | and U = H. Then A2017U is equal to = ... A) B

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Q: 3. Show that if A-1 exists, then f eAT dr = A-(eAt – I) = (e4t – I)A-1.

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

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Q: 1 Compute the quantity, w, using w= - 1 w•w - 7

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Q: Suppose Z∼N(0,1). Then P(2 ≤ Z ≤ 3) is the same as

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Q: 4. What are the values of A, B, C, and D so that 1 a. A = b. A = C. A = d. A = HALA00 B= C= B B 1 8'…

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Q: If e = 23, then z 4x

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Q: 2. Show that cÃ=cA.

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Q: 7 of 17 If LAO} =F(s), then L{f{4t)}= %3D

A: Here we solve this from the definition of Laplace transformation.MKMJCDSCDS

Q: 3 E in (1 -) -in2 , . =-In2 =1 k2 –1 k=2

A: We will  use the limit of partial sum

Q: 2. Evaluate the following dr 2.1.V1-(In)* dr 2.2. VE(1+ z) dr e-e- 2.3.

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Reject Ho if |z| > N

A: We know that  Null hypothesis H0. Alternative hypothesis H1.

Q: 2. The physicist Frank Benford noticed in the 1930s that, for many sets of numbers in the real…

A: Hi there! I see there are more than three sub parts in the question. According to our polocies can…

Q: a. Suppose that Natasha, Monim and Rehan a

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

Q: 5. Expand the following: 4 EW:Xi= W:XI= i=1

A: Given that,

Q: 32y- 154-25x= o 152 =120 2と72 3 23 3. 23 3.130437783 %3D 120 55 23 ニ 23 Y-5.217 391304

A: Solve simultaneous  linear equation

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: 5. Which of the following is equivalent to (v2/2 – iv2/2) ? O -2 O 1 O -1/2 O -1 O 2 O 1/2

A: We have to find the equivalent of given complex number.

Q: 8. Express the following as linear combinations of u = (2, 1, 4), v (1,-1, 3), and w= (3, 2, 5). (a)…

A: (b) ( 6, 11 , 6 )   We have to write it as linear combinations of (2 , 1 ,4 ) , (1, -1, 3 ) and (3…

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: 16. Conclude the test. p-value > a, therefore reject H, B p-value a, therefore do not reject Ho E…

A: Answer: D. p-value >α, therefore do not reject H0.

Q: [2 11 Q2) Assume A = |1 [3 4] 2 4 11 3 6 4 3 and B = show that (AB)' B' A'

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Q: 1. If l = P+[v]=Q+[w] , how must P, Q, v, and w be related?

A: Given l=P+[v] is a line where [v] is a span of a unit vector v, we can write [v]=cv, c is a scalar…

Q: 3. Consider A={m,a,t,h}; C={x:x=3n,1sns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n S6,nEN} What is ANB?

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Q: 2л 2 2 Compute |pA dz dr de 0 07 O A. 35 28 O B. 35

A: To solve the integration.

Q: ni = 22, î1 = 99.2, ô1 = 4.5 n2 = 35, îz = 82.6, ô2 = 4 Using the information above, compute the…

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Q: Suppose that  X  and  Y  are unknowns with  E ( X ) = 12 and E ( Y ) = 20.  If E ( X Y ) = 225,…

A: It is given that, E(X) = 12, E(Y) = 20 and E(X,Y) = 225.

Q: 6. Assuming that 20% of the population of a city is literate. Assuming that 100 investigators each…

A: The probability of obtaining at least one literate in 10 individuals will be:

Q: 4. Evaluate: [ 1 dt. Vt2 –6t+13

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: 2 If A = 22 and B = -70 6. 10 , verify that B = s-AS, where s = -19

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Q: Name the two lines and the transversal that form each pair of angles.

A: A transversal is defined as a line that cuts through two lines.

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: 2. The probubility of a new antivunl medication successfully curing patients was found to be 0.77.…

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Q: 2. (a) Evaluate e²-dr, where a > 0.

A: Let, I=∫0∞e-x2-a2x2dxI=∫0∞e-x2e-a2x2dx Let F(x,a)=e-x2-a2x2DaF=-2ax2e-x2-a2x2DxF=-2x+2a2x3e-x2-a2x2

Q: 32, as 185, and a6 = 1121. Find a1, a2, 5an-1+ 6an-2+ lan-3 and a4 Suppose an and a3-

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Q: 3 13 4)2 =V81, state true or false. 4 Compare the following with , or = %3D 25 Answer: m/2

A: Given:  (1) 13 - (√4)2 = √81 (2)  √(5/2) ?  3/2

Q: Suppose the final score in a hockey game is 4 to 2. How many possible scores are there after the 1st…

A: Team one had 5 different possible score total at the end of the 2nd {0,1,2,3,4} Team two had 3…

Q: Suppose that 61,02 and 03 are estimators of 0. We know that E(6,) = 0, E(03) + 0, V(@,) = 12, V(02)…

A: We compare different estimators in terms of their MSE. Here we are estimating θ by using 3 different…

Q: 1 2 1 -Given that B= 1 -1 0 3 1 1 Show that B,-B,- 6B = 1. Hence, deduce that B' = B² -- B – 61.

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Q: ieN 6. (a) Uto, i+ 1] = (b) N[0,i+1]= ieN ieN 7. (a) URx[i,i+1] = (b) ORXlii+1l=

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Q: 4. Show that: do Tb/(a? – b²) - a+bcos0 а b2 Where a>b>0 such that * -1+ 1. < 1 - a²

A: To Show: ∫0πdθa+bcosθ=πba2-b2 Concept: i. 1+tan2x=sec2xii. cos x=1-tan2x21+tan2x2iii.…

Q: (16) Show that AB=BA for 1 5 0 0 A = 0 3 0 0 0 and B = 3 1 2

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Q: (c) If gcd(a , 133) = gcd(b , 133) = 1, show that 133|al8 b18 %3D %3D

A: