2 then show that |2A-4|A If A- 4 2

Q: Show by contraposition that for any real number x if - 5 < x< 4 then x2+x – 20 < 0

A: For the solution follow the next step.

Q: Let 21 = 2+ j3 and z 4 j5. Evaluate

A:

Q: Prove by contrapositive: if x is odd then x²+3x+5 is odd

A: Concept: Contrapositive method: A conditional statement's contrapositive is built through negating…

Q: No two 'a' are adjacent, No two 'b' are adjacent, No two 'c' are adjacent.

A:

Q: Suppose X= N(10, 1.924)Pr(9.65 is less than or equal to X and X is less than or equal to 12.7)

A: Given a normal distribution with mean 10 and variance 1.924.the relationship between standard…

Q: 8. If * is defined as a*b = 3a+b where a and b are real numbers, what is 4*3?

A: Given operation is a*b = 3a+b

Q: (-3 if z 2

A: Here is a step by step solution of the problem. We have proved discontinuity at x=2 by evaluation…

Q: 3. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + nº+ 1, express a, in terms of n.

A:

Q: Show by contraposition that for positive real numbers a and b, if ab - a - b ≥0 then a and b are…

A:

Q: If x>Q3 + 1.5 X IQR then x is an

A: We call a data point an outlier if it lies 1.5 times IQR below the first quartile (Q1) or 1.5 times…

Q: Evaluate with

A: Given: cos θ=56cot θ &lt;0 To Find: sin θ =?cos θ=?

Q: If A: find A 2. 3 3. and Show Shat A-3

A: A=1213 Now determinant value is, A=13-12=1 Adjoint of matrix A is, adjA=3-2-11 Now,…

Q: show that (ex1 )^x2 = e^(x1 x2) = (ex2)^(x1 ) for any numbers x1 and x2.

A: In order to prove the equations:

Q: Given: 5(x + 2) = -3x - 6 Prove: x = -2

A: 7

Q: so-Z of what is 21

A:

Q: Suppose that ƒ(0) = 5 and that ƒ'(x) = 2 for all x. Must ƒ(x) = 2x + 5 for all x? Give reasons for…

A: given: f(0)=5 f'(x)=2

Q: Which of the following is not true for all real number? if a2-b = 3c then a2-b+2=3c+2 a2 – b if a2 -…

A:

Q: If x = -2, then x2 +5 = 9. x2 + 5 = 9, SO X = -2. %3D true false

A: We will solve the 2nd equation to check whether it is true or not.

Q: Prove that the statements are FALSE: The sum of two odd counting numbers is always even. For all…

A:

Q: Show by contraposition that for any real number x if -5 <x<4 then x2+x- 20 <0

A:

Q: If X~ GAM(1,2) then Var(X)= (1 4 (2

A: Suppose X is a random variable having gamma distribution and X~GAM(α,β).Then, Mean E(X)=αβ and…

Q: If X~ GAM(1,2) then Var(X)= 4 (1

A: We have to solve given problem:

Q: To show that r - 1= In(r-r+ 1) has at least two different positive root in R. 6.

A: We need to analyze the roots of the equation x-1=lnx2-x+1. This equation can be re-written as…

Q: Prove: The difference of the reciprocals of two successive integers equals the product of their…

A: Given, 1n-1n+1    We have to prove the difference of the reciprocals of two successive integers…

Q: 1 41 7, then prove that A = A. -8 4 7. If A = 4 4 1

A: Given: A=19-8144471-84

Q: 31 Let A = B = 0 2 -10 If X'B = A, then X= 0 2

A:

Q: • If x = -0.8, then [x] + x = %3D 1. -0.8 2. -1 3. -1.8 4. 1 1 O 2 O 3 4 O

A: Given  x = - 0.8 To find [x] + x

Q: ユー The omk of, B- 720 -4 -8 3 -3 5 しs ?

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

Q: Evaluate S(3) if S(r) = 4xr².

A: Given query is to find the value of S(3).

Q: Supppose that X ~ N (2; 3). Find P (1 &lt; X &lt; 4).

A:

Q: If x~N(μ,0²), then (271) ²~... Option 2 Option 1 ********* N(0, 1) G (1,2) x² (2)

A: Solution-: Given: X→N(μ,σ2) then (X-μσ)2....

Q: 5. IS the following statement TRUE or FALSE? If the statement is true, prove it, and it is false,…

A: Introduction: The biggest integer function (also known as the floor function) .:R→Z of a real number…

Q: { O if k is a multiple of 2 r if k is not a multiple of 2 W where r can be any real number

A:

Q: Suppose that ƒ(-1) = 3 and that ƒ′(x) = 0 for all x. Must ƒ(x) = 3 for all x? Give reasons for your…

A: Given that

Q: 11) Suppose an>0. Which of the followill

A: This is a question from the series.

Q: If z < o when -0, then 2 is one of the even numbers that is an odd number. O True

A: NOTE- AS  WE ARE ALLOWED TO ANSWER ONE QUESTION IN ONE SESSION SO, I HAVE ANSWERED FIRST QUESTION…

Q: S. Which statement about 3 multiplied by must be true?

A: 5.       Product of 3,23=3×23=2

Q: If a and b are odd positive integers, and the sum of the integers, less than a and greater than b,…

A: Let a and b are odd positive integers, and it is given that sum of integers, less than a and greater…

Q: If X~N(3,9) then E(x)= (9 (3

A: Solution: From the given information, X follows normal distribution with mean µ=3 and a standard…

Q: 4 If x is an integer, then xr >x.

A: See the detailed solution below.

Q: 1. Find all numbers z such that Az' + Bz2 + Cz = D [2 4 2 A = 2 4 2 1 B = 3 1 - 2 3

A: Given A = 242131B = -1111-2-1C = 242131D = 1-1-1-121 Clearly C=AD=-B

Q: 27 1 2-r2 4. Evaluate: r dz dr de Jo

A: Solution

Q: Show that: (n-2)a2 ~X2 (n-2) o2

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Prove x = 6 if 2x + 5 = 17 Statement Reason 1) 2x + 5 = 17 1) Given 2) 2x = 12 2) Subtract 5 from…

A: Please see the answer in Step 2

Q: Let s =3t 3-9t -5t+2, find x and v when a=0 O -5 and -14 9 and 14 -9 and 22 -9 and -14 O 5 and 14

A: It depends on how the x and v are defined. By the given function s, we can't say anything about the…

Q: prove that if a>4 then (a-2)^2>4

A:

Q: ,a, = 3, a2= 4 and for n 2 3, a, = 2a,-1+ an-2 + 5, express a, in terms of n.

A: Solution

Q: Prove that the statements are FALSE by giving counterexample each.  The sum of two odd counting…

A: