An expression that can only provide a single solution, y,
for any given input, x, is called a “function”.
The given pairs are in the form (x,y)
Looking at set A:
(4,-2), (-2, 2), (2,-2), (4, 2)
Notice that if x=2, there are 2 y’s, -2 and 2. Therefore this
set is not a function.
<span>Answer: A is not a
function</span>
Answer:
314.96in
Step-by-step explanation:
Answer:
<h3>For two events A and B show that P (A∩B) ≥ P (A)+P (B)−1.</h3>
By De morgan's law
which is Bonferroni’s inequality
<h3>Result 1: P (Ac) = 1 − P(A)</h3>
Proof
If S is universal set then
<h3>Result 2 : For any two events A and B, P (A∪B) = P (A)+P (B)−P (A∩B) and P(A) ≥ P(B)</h3>
Proof:
If S is a universal set then:
Which show A∪B can be expressed as union of two disjoint sets.
If A and (B∩Ac) are two disjoint sets then
B can be expressed as:
If B is intersection of two disjoint sets then
Then (1) becomes
<h3>Result 3: For any two events A and B, P(A) = P(A ∩ B) + P (A ∩ Bc)</h3>
Proof:
If A and B are two disjoint sets then
<h3>Result 4: If B ⊂ A, then A∩B = B. Therefore P (A)−P (B) = P (A ∩ Bc) </h3>
Proof:
If B is subset of A then all elements of B lie in A so A ∩ B =B
where A and A ∩ Bc are disjoint.
From axiom P(E)≥0
Therefore,
P(A)≥P(B)
X=36. You just make the equation: X+9=45. Then you subtract 9 from 45 like this: -9 -9. That gives you 36
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