D as you can see on the number line d is 1/3 of the way to -2
5/13.....so D because sine is opposite over hypotenuse
Answer:
3/4
Step-by-step explanation:
to add fractions you have to let them have the same denominator or bottom number
so to make 3 and 12 the same number you would multiply 3 by 4
when multiplying the bottom number of a fraction by 4 you multiply the top too
so 2/3 becomes 8/12
then you can add
1/12 + 8/12 is 9/12
at the end you can simplify 9/12 into 3/4 by dividing the equation by 3/3 or both the top and bottom by 3
Answer:
4/52
Step-by-step explanation:
you have (4) 6 of clubs cards and their are 52 cards so the answer is 4/52
Answer:
P(A ∩ B) = 0.
a) NO
b) YES
Step-by-step explanation:
Thinking about this through Venn diagrams we can sort of understand that:
if P(A) = 0.2 and P(B) = 0.2, and P(A∪B) = 0.4.
there's no overlapping between P(A) and P(B).
(If there was overlapping then P(A∪B) < 0.4, since you'd be excluding the overlapped part from getting counted twice.
Think of it in terms of calculating areas circles A and B, if the circles were disjoint, then the sum of the areas A and B would be 0.2+0.2. But if the circles were overlapping then the sum of the areas would be 0.2+0.2-P(A ∩ B), where P(A ∩ B) is the overlapping part)
since there's no overlapping P(A ∩ B) = 0.
a) NO
events A and B are only independent when P(A ∩ B) > 0 (or overlapping)
b) YES
events A and B are mutually exclusive when P(A ∩ B) = 0 (or disjoint)
