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

... 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

...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

... 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 · 25/10/2010

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

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

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

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

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

What does P(

**ā**) mean? Is that the complement of A or in other words: P...2 Answers · Science & Mathematics · 08/01/2014

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

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