QUESTION 4 Prove: If BSA for all a E A, then BsN A. a € A

Q: D Question 7 Assuming that Karen swims, Pat's exercising is a sufficient condition for Zach to surf.…

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Q: Show that the statement If n E N and a E Z*, then [Q(Va): = n is false.

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Q: s.if {() - % q S.t OSagi0, what is me au sf X ? 50 100 4) 667 c) so d) 10

A: We have given that  Pdf of X is f(x)=(x/50)  , 0≤x≤10

Q: Let A be a set. Prove that S = 0. SEP(A)

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Q: The covariance between x and y is O 1.5 1.25 O 0.75 0.25

A: According to the given information, we have X Y 1 2 1 2 3 4 5 3 5 4

Q: 1 an + Show that the sequence {an} is convergent - Let aj > 0 and an+1 = An Hint: Use the item 1 of…

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Q: Problem 1. Show that |In + where a, B, E R.

A: In the question we have to prove given statement.

Q: Show work if possible

A: Yes we show that the how many possible distinct arrrangements for the word 'Mississippi', by using…

Q: 01 1 13 If A= 0 0 1 then A Select one: a. 01 0 0 0 1 0 0 0 O b. 0 1 1 0 0 1 0 0 0 C. 0 0 1 0 0 0 00…

A: Topic- multiplication of matrix

Q: 18. Let V, = {* €R | 1 1 1 for each positive integer i. i 4 a. UV; = ? i=1 4 b. nV; = ? i=1 c. Are…

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Q: Let e, f, h = Z¹. If [e, f, h](e, f, h) = efh, then prove that (e, h) = 1.

A: Given: Let  (positive integers), where denotes the least common multiple of (and ).Objective:…

Q: Linda planned to spend 9 hours practicing piano his week. By Tuesday, she had spent 2 1/2 hours…

A: Introduction: A fraction represents a portion of a total. This entire area can be considered a…

Q: Question 7 Show that if a set S of real numbers contains an upper bound b, then b= sup S.

A: Question: Show that if a set S of real numbers contains an upper bound b, then b=sup S. Proof: Let S…

Q: Let a, b, c € N. Show that if clab, then cl(a, c)(b, c).

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Q: .3 T Evaluate In In e²+j²4

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Q: True or False: To get β₀, you must first calculate β₁ A) True B) False C) More information is…

A: Given statement is "To get β₀, you must first calculate β₁"

Q: Let a, b, c E Z. Prove that if a b and alc, then Vk EZ we have a (b+ ck).

A: ab  &  ac   Since ab, therefore b=a·m   ,  where m∈ℤ Since ac, therefore b=a·n   ,  where n∈ℤ

Q: Question 7 of 21 Given A = {f,r,i,e,n,d,s}, B = {1, o, v, e) and C = {a, n, g,e,r}. Find (An B) u…

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Q: . If sets An are independent and P(An) < 1 for all n, then P[A, i.o.] only if P(UnAn) = 1. = 1 if…

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Q: On Z+, a * b = aº ||

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Q: Prove the following statements: b. Let a, b E Z. Then a = gcd (a, b) if and only if alb. c. Let a,…

A: Let's prove the given statements:b. Let a,b∈Z. Then a=gcd(a,b) if and only if a|b.1. Suppose…

Q: 1 1 1 Let A= 0 11 then adj(A)= 0 0 1

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Q: the followking identity. us-1/1+_A Prove

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Q: Question 12 If P(G)= 0.2, P(H) = 0.3, and G and H are mutually exclusive, find P(G and H). 1) 0.06…

A: Given P(H)= 0.2 P(G)=0.3

Q: Question 4. Let for every n E N, An= {0, 1,2, ...,n}. Find n An and An. U nEN nEN

A: Ans:a).{0,1}b).{0,1,2,3,4,5,...}For details please see the explanation.If you have any problem then…

Q: 10:57 sbb G • N 5G . 96% 4) In the proof below, what is the missing reason? Given: ABCD is a kite…

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Q: Suppose A and B If A) = C(B) then a is equal to 2. Or O a a = 4 O b.o 1 Oc 6 Oda = 2

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Q: Let A = {-i, .,-2, –1,0,1, 2, . i}. Compute the following a) U는1Ai A? = {?} A? = {?}

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Q: 3. Let n e Z be nonzero and even. Prove that there exist unique a € {0, 1}, b € N, and odd c€ N such…

A: Since n is even and non-zero . Since n is non zero ⇒ n is either positive or negative. Let's write…

Q: If the given three vectors are coplanar, then find the value of x. A = i-2j + 3k, B = xj + 3k, C =…

A: A, B, C are coplanar.So

Q: 8. Write a formula of P that is equivalent to the following formula, but which involves a different…

A: To find- Write a formula of P that is equivalent to the following formula, but which involves a…

Q: Let A- r 1 3 2 -1 -3 -1 -2 -6 3 1 find that € Col (A) కం 104

A: Given matrix is A=1302-1-31-1-2-63-1 and b=1a4. We have to find the value of a such that b∈ColA.…

Q: 1. In the figure on the right, which postulate proves that ΔTIK ≅ ΔTOK?

A: Given,

Q: Let A € M₂, (C). Then, for a E o(A), GEO.MUL(A) ≤ ALG.MUL₁(A).

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Q: An (Bu A) n B) =

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