Let the event 
The the probability of the events
The conditional probability
6 students received an A.
30 multiplied by .2 (you change percent to decimal) is 6.
Answer:
cot(θ)=5/12
Step-by-step explanation:
(I'm going to replace theta with x to save time.)
Recall that sine is equal to opposite over hypotenuse. Thus:
sin(x)=12/13, this means that the opposite side is 12 while the hypotenuse is 13 (well, it doesn't have to be, but their ratios are).
Find the adjacent side using the Pythagorean Theorem.
13^2 = 12^2 + adj^2
adj^2 = 25
adj = 5.
Recall that tan(x) is opposite over adjacent. This means that cot(x) is adjacent is opposite.
Therefore: cot(x) = 5/12.
Number of jugs required to hold 18 gallons of water = 18/0.5
= 36
So 36 jugs are required by Jan to empty 18 gallons of water.
