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Q: Prove: | a | - | b | <= | a + b |

A:

Q: If A, BC S such that P(A)=0.7, P(B)= 0.5 and P(A NB)=0.3, then P(A|B) =

A: Here use venn diagram and Bayes theorem

Q: Negate each of the following statements. a) ∀x ∃y ∃z, q(x, y, z)] b) ∃y ∃x ∀z, p(x, y

A: Here we have to express the negation of the given statement:   The negation rule for the single…

Q: Then slouw that E Alasf bea, Couly, seguene in D. is also Cauchy.

A: Here uniformly continuous is necessary condition. Here is proof.

Q: A secant segment consists of an external secant segment and an internal secant segment. O True O…

A: The given statement is: The secant segment consists of an external secant segment and an internal…

Q: * If Iz| = Re(z), then z is

A:

Q: If a > 0 and b < 0 which of the following must be true?

A: We have to choose the correct answer from the given option according to the given condition

Q: Let A, BC X. Is Bd(A) C Bd(B)?

A: We want to check for A, B ⊂ X Is Bd(A) ⊂ Bd(B) true or false.

Q: Show that if A ⊂ B, then C – B ⊂ C – A.

A:

Q: Given that U = {xx ≥ 5}, A={x|x {x\x ≥ 7} find (AºUBº)¢.

A: Here we have to choose the correct option.

Q: O. Let fla=3secu. Find the reguaeted deruatines f'Ca) = f" Ca) =

A:

Q: Prove if a,b > 0 then : a+b>1, to aª + bª 1 > 8

A:

Q: Prove the A.B = B.A.

A: To prove AB = BA.

Q: | cdentify the theonem/ pastulate proves fhat the dre frianglels rimilara. son

A:

Q: Assume that u v = 6, ||u|| = 3, and ||v|| = 2. What is the value of 6u· (4u – 4v)? -

A:

Q: A, where OU Find det(A), adj A and A =

A:

Q: Is each statement true for OA? Drag "true" or "false" below each statement. K True False 2JKA = MLA…

A: 1) KA = MA - True  As both are radius of the circle.

Q: O Determine rand s so that, 3.

A:

Q: and C indeperdent, with PLA) =a, are Jetermine the following prdbabilobies in terms i) PLANB) PCB)=…

A:

Q: If A =I then what is A'?

A:

Q: Find the SVD of 3 A = 2 3 -2 [Hint: Work with AT]

A:

Q: Let T ∼ Γ(r, λ). If μT = 8 and r = 16, find λ and σ².

A: It is given that, The value of λ is, Thus, the value of λ is 2.

Q: provide a fitch proof P Q¬R→ (Q → S) R → T T&P:Q &S

A: We have to prove the given arguments.

Q: Determine whether these statements are true or false. a) ∅ ∈ {∅} b) ∅ ∈ {∅, {∅}} c) {∅} ∈ {∅} d) {∅}…

A:

Q: V=R Prooflthat Nisavectors sPoe

A: Given that V = ℝ+ Operations + and · defined as, x + y = xy rx = xr, where x,y ∈V; r ∈F To prove: V…

Q: 2. Find Ju x v| and determine whether u x v is directed into the page or out of the page. |v|= 5 45°…

A:

Q: А - (BUC) — | (А — В) UC (А — В) U (A — С) | О Оption 4 Оption 1 (А — В)n (A — С) (А — В — С)

A: 1. As by distributive property A - (B ∪ C) = (A - B) ∪ (A - C) Hence Answer: Option 1 (A - B) ∪ (A -…

Q: assume that Pr[A]=0.2Pr[A]=0.2 and Pr[B]=0.3Pr[B]=0.3.   If A⊂BA⊂B, then Pr[A∪B]= If A∩B=∅A∩B=∅,…

A: The given probabilities are;

Q: v 26. Show that if a < c < b, then C-a b favg [a, b] = b favg [a, c] + b favg [C, b] a |

A:

Q: 11 Given: ZF is comp. to ZFGJ. ZH is comp. to ZHGJ. GJ bisects ZFGH. Conclusion: ZF= ZH

A: Given:- ∠F is complementary to ∠FGJ ∠H is complementary to ∠HGJ GJ→ bisects ∠FGH. To prove:- ∠F≅∠H

Q: Prove: If a &lt; 0 and b &gt; 0, then | a  + b | &lt; | a | + | b |

A:

Q: assume p is t and q is t. under these assumptions, is the following statement true or false? ~ p ^ q

A:

Q: If two rows of A are interchanged to produce B, then det(B) = –det(A). \\ Big True fals e

A: We use properties of determinant

Q: B A E %3

A: When 2 angle and a side between them are congruent to corresponding angles and side of another…

Q: o Let A-

A: The given matrix is : A=1-111 Calculate the value of norm A∞. We know the formula of the infinity…

Q: If A and B are mutually exclusive, and if P(A) = 0.1 and P(B) = 0.4, what is P(AUB)? P(AUB)=

A: It is given that, P(A) = 0.1 and P(B) = 0.4.

Q: If+b+=++, then show that for 1 a" +b" +c"

A:

Q: ZLX)=Jtanix) is a composifion fox)=? ga)-?

A:

Q: A B D Which of the following is true for the figure above? AABC AACD because of ASA, and AC = AC…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 1. Which side is needed to prove that ARAG E ACML? G C R M.

A:

Q: Use DeMorgan’s Laws to rewrite this statement without parentheses.~( p ∧ ~q ∨ ~r ∨ ~s ∧ t )

A: The given expression is ~( p ∧ ~q ∨ ~r ∨ ~s ∧ t ).

Q: Consider the figure below, where Ju = 2 and |v| = 8. 60° (a) Find u x v|. (b) Determine whether u x…

A: topic - cross product of vectors

Q: A and AB DE Use deducive reasoning to shei

A: We can use the similarities of triangle in order to solve the given problem.

Q: PR is a midsegment of AQST. If ST = v and PR = v - 14, what is ST? Q ST = P.

A:

Q: Suppose that P(A)=0.3, P(B)=0.2, and P(C)=0.1. Further, P(AUB)=0.44, P(A^cC)=0.07, P(BC)=0.02, and…

A: Given : P(A) = 0.3, P(B) = 0.2, and P(C) = 0.1 P(A U B) = 0.44, P(A^c C) = 0.07, P(BC) = 0.02, and…

Q: If P(A= 0.7, P(B)= 0.2, and A and B are mutally exlcusive, find P(A or B).

A: The provided information are: P(A)=0.7 P(B)=0.2 A and B are mutually exclusive events To Find P(A or…

Q: Ime the Conv senes, UI de that he test ddes Tiot apply. 00 2 ke - 3k2 k = 1

A:

Q: The statment QV ~Q is always true

A: the given statement is Q∨~Q make a truth table as follows  Q ~Q Q∨~Q T F T F T T…

Q: a. the weapon that they will test is functional? b. the second weapon is defective given that the…

A: here given there are total 150  weapons  70 are special gun , non special gun  are 80  25 defective…