Answer:
Step-by-step explanation:
Not liking rock mostly doesn't effect not liking just rap, since half like both rock and rap.
Though, there are 2 more people that like just rock compared to just rap, so you are more likely to like just rock.
Additionally, if you don't like rock, there is a 31.4 % that you don't like rap as well, since 17 people like neither.
Answer : Probability that the pumping system will fail on any given day = 0.005
Explanation:
Probability that only older pump fail = P(A) = 0.10
Probability that only newer pump fail = P(B) = 0.05
Since they are independent events ,
then the conditions will be
P(A∩B) = P(A). P(B)
= 0.10 ×0.05
= 0.005
Hence, the probability will fail on any given day = 0.005
Exterior angles are complementary to the opposite interior angle
Answer:

Step-by-step explanation:
So we have the equation:

Let's let u be equal to x². So:

Factor:

Zero Product Property:

Subtract:

Replace:

Take square root:

Simplify:

You should have an angle of elevation of 30 degrees.