If n(AUB) = 43. n(ANB)=22, and n(B) = 37, find n(A). NA) Enter your answer in...

Question

Question

If n(AUB) = 43. n(ANB)=22, and n(B) = 37, find n(A). NA) Enter your answer in the answer box. ?

math algebra

Answer 1

Answer #1

We know that n(AUB) = n(A) +n(B) -n(A∩B) .

Therefore, 43= n(A)+37-22 = n(A)+15.

Hence n(A) = 43-15 = 28.

Answer 2

Similar Homework Help Questions

22. SupposeRA 70,p6-60 and P(AUB),75. Find P(AnB)

22. SupposeRA 70,p6-60 and P(AUB),75. Find P(AnB)
C)=5, n( A B C) -2, and n(AUB A universal sot U consists of 14 elements....

C)=5, n( A B C) -2, and n(AUB A universal sot U consists of 14 elements. If sets A, B, and Care proper subsets of U and (U) = 14, n(An B)=n(An C)=n( B UC)=11, determine each of the following a) n(AUB) b) n(A'UC) c) n(ANB)' a) n(AUB)- (Simplify your answer.) b) n(AUC) - (Simplify your answer.) c) n(ANB)- (Simplify your answer.) Enter your answer in each of the answer boxes
8. Let P(A) P(B) - 1/3 and P(AnB) 1/10. Find the following: (b) P(AUB') () P(Bn...

8. Let P(A) P(B) - 1/3 and P(AnB) 1/10. Find the following: (b) P(AUB') () P(Bn A (d) PA UB)

1 Let A and B be independent events with P(A) and P(B) = FICE Find P(ANB)...

1 Let A and B be independent events with P(A) and P(B) = FICE Find P(ANB) and P(AUB). 8 P(ANB) = P(AUB) =
2.2.28 2.4.8 2.4.50 five (a) AUB-B 80f (1) AnB=A et B five 2.2.28. Let events A...

2.2.28 2.4.8 2.4.50 five (a) AUB-B 80f (1) AnB=A et B five 2.2.28. Let events A and B and sample space S be define the as the following intervals: S={x : 0 < x < 10} A={x : 0 < x <5) the Characterize the following events: as (a) AC (b) An B (c) AUB (d) AnB (e) ACUB (f) AC n B 2.2.29. A coin is tossed four timo that chip together two additional red are pu back into...
5. Let A and B be compact subsets of R. (a) Prove that AnB is compact...

5. Let A and B be compact subsets of R. (a) Prove that AnB is compact (b) Prove that AUB is compact. (c) Find an infinite family An of compact sets for which UAn is not compact. o-f (d) Suppose that An is a compact set for n 21. Prove that An is compact.

Let S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16). A= {1,3,5,7,9) B= {1,2,4,5,6,9} C= {2,6,9,10,12,14} Find: (1) (AUB) (3) (COB) (2)...

Let S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16). A= {1,3,5,7,9) B= {1,2,4,5,6,9} C= {2,6,9,10,12,14} Find: (1) (AUB) (3) (COB) (2) (ANB) (5) (ANBNC) (4) AC
Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(AUB)...

Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(AUB) = 0.7. (a) Find P(A n B). 0.2 (b) Find P(AUB). 0.8 (c) Find P(An B). 0.3 (d) Find P(AB). (Enter your probability as a fraction.) 1/2
Given the following sets, determine AnB. U = {xx E N and x < 10} A...

Given the following sets, determine AnB. U = {xx E N and x < 10} A = {x| XE N and x is odd and x < 10} B = {x N and x is even and x < 10} Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ANB= (Use a comma to separate answers as needed.) B. An B is the empty set.

2. Mark each statement True or False. Justify your answer. (6 points each) (a) (A\B) U...

2. Mark each statement True or False. Justify your answer. (6 points each) (a) (A\B) U ( BA) = (AUB) (ANB). (m) º (7.1+5) = (a :) n=2 1 3. Let A = {J,Q,K) and B = {4,0}. Find (list thc clements of) the set A x B. Find |A x B) and P(A x B) (9 points) 3