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1. ### Prove or disprove: If Ā⊆B then A∪B=U.?

Hi If Ā ⊆ B, then everything that is not in A is in B...either in or not in A, everything is in A ∪ B so long as Ā ⊆ B. To say that everything is in A ∪ B is...

1 Answers · Science & Mathematics · 07/04/2010

2. ### if Ā = ∩ F then show that A ⊆ Ā and Ā is the smallest closed set that contains A?

... one on the question above is correct. A ⊆ Ā if for an arbitrary element a of A, a is also...show 2 sets are equal you need B ⊂ Ā and Ā ⊂ B. The first ...

3 Answers · Science & Mathematics · 09/06/2012

3. ### In probability how do prove that P(A|B) / 1-P(A |B) = P(B|A)P(A) / P(B |Ā )P(Ā) ?

...total probability: P(B) = P(B∩A) + P(B∩Ā) Since P(A|B) = P(A∩B)/(P...

1 Answers · Science & Mathematics · 02/05/2009

4. ### If A ⊆ B, is Ā ⊆ B (also with bar on top, dont know how to type it)?

... that A = ∅ (∅ is the empty set) and B = {1}. Then Ā = {Everything in the universe} and B(bar) = {everything is the universe...

1 Answers · Science & Mathematics · 26/10/2010

5. ### Find P(A) if P(Ā)=0.018?

We know that P(A)+P(~A) = 1, Now subtract P(~A) from both sides P(A) + P(~A) - P(~A) = 1 - P(~A) Now we have P(A) = 1 - P(~A) - .018 = .0982, since...

1 Answers · Science & Mathematics · 13/06/2011

6. ### Prove that for a vector Ā d/dt (A^2) =2Ā.dĀ/dt Hence, show that if a vector has a constant magnitude then

I am afraid that I don't understand your notation. However, Let l denote the vector's length. The components of the vector (x(t), y(t), z(t) ...) then satisfy x^2 + y^2 + z^2 + ... = l^2. The derivative of this vector is (x', y', z'...

1 Answers · Science & Mathematics · 04/08/2008

7. ### Can anyone make a truth table for this please, Z = Ā.B + C.D ?

Well, you lay out your table with columns Z, A, B, C, and D, and you start off with the values of ABCD as 0001, then 0010, then 0011, etc ... all the way up to 1111. The table will have ... what, 16 rows? This...

1 Answers · Science & Mathematics · 30/09/2012

8. ### Probability of independent events?

Since P(Ā) = 0.1, P(A) = 0.9. P(A ∩ B) = P(...

3 Answers · Science & Mathematics · 14/05/2009

9. ### Help me with this question?

What does P(ā) mean? Is that the complement of A or in other words: P...

2 Answers · Science & Mathematics · 08/01/2014

10. ### Need help understanding precalc symbols?

The overscore A: Ā (I think) has traditionally been used to refer to the complement...

2 Answers · Science & Mathematics · 25/10/2013