The correct answer among the choices provided is the second option. Events A and B are dependent because P(A|B) P(B). And from conditional probability, we have P(A|B) = P(AintersectionB) / P(B).
Therefore, P (AintersectionB) is equal to P(A|B) × P(B).
Answer:
The equation to this question is "
"
Step-by-step explanation:
Given value:

So, the curve
is basically a circle, which is defined in the attachment file.
Answer:
B=45 Degrees
Step-by-step explanation:
You can use law of sines to answer. Law of Sines states that
. That means that
. Multiplying 8 to both sides gives us
. By using inverse of sin, we get
. Plugging that into a calculator gives us b=45 degrees.
Answer:
Parte1 :
∡B= 180 - (42 + 83)= 55°
Parte2 :
Using the law of sines :
⇔
⇔ a= 142.95
Parte3 :
Using the same law :
or
⇔ c= 212.04
From trigonometry we know that:
if 
then,
(where
is an integer)
This can be rewritten in degrees as:
.............(Equation 1)
Now, in our case, 
Therefore, (Equation 1) can be written as:
..........(Equation 2)
Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of
that match.
For n=2, (Equation 2) gives us:
.
Thus, 
Now, we know that: 
Let n=-1, then:

Thus, 
Likewise, 
Only the last option
will never match
because no integral value of
will ever give 
Thus the last option is the correct option.