The answer is 6.5 exactly.
        
                    
             
        
        
        
Answer:
P(B)= 17/20
Step-by-step explanation:
Hello!
The audience of the magic show is conformed by a total of 120 people, 52 of which are female and 68 are men.
Within the audience there is a school class of 37, of these students, 17 are female and 20 are male.
If a random member of the audience is selected as a volunteer:
Let "A" represent the event that "the selected volunteer is a student of the class"
And "B" the event that "the selected student is female"
You have to calculate the probability of the selected volunteer being female, given that it is a member of the school class.
Symbolically:
P(B|A)
Using the formula of conditional probabilities you can calculate it as:

P(A∩B)=  =
= 


As you can see the probability of the event "The volunteer is female given that it was a student of the school class" means that you already know the selected volunteer was a student and only needed to calculate the probability of that student being female.
P(B)= 17/20
I hope this helps!
 
        
             
        
        
        
Answer:
it will take 8 minutes 
Step-by-step explanation:
Here, we want to
calculate the amount of time taken to fill the tank given the total amount of water in the tank.
Mathematically, the formula go
use is ;
w= 100 + 55t
540 = 100 + 55t
55t = 540-100
55t = 440
t = 440/55
t = 8
 
        
             
        
        
        
Answer:
53%
Step-by-step explanation:
48/90, then multiplied by 100
 
        
             
        
        
        
You need to find the length of each side by doing 132÷4 which equals 33. Then to find the area you do 33×33 which equals 1,089. So yes, the area is over 1,000.