Answer: 11.5%
 
Explanation:Since 1 minute = 60 seconds, we multiply 12 minutes by 60 so that 12 minutes = 720 seconds. Thus, we're looking for a probability that the auditor will spend more than 720 seconds. 
Now, we get the z-score for 720 seconds by the following formula:

where 

So, the z-score of 720 seconds is given by:

Let 
t = time for the auditor to finish his work
z = z-score of time t
Since the time is normally distributed, the probability for t > 720 is the same as the probability for z > 1.2. In terms of equation:

Hence, there is 
11.5% chance that the auditor will spend more than 12 minutes in an invoice. 
 
        
             
        
        
        
Y=3x+8
Step-by-step explanation:
The slope is 3
Slope Intercept form is Y=Mx=b
 
        
                    
             
        
        
        
Go over 2 x units for every 1 y unit
        
             
        
        
        
Answer:
h = 9
Step-by-step explanation:
cylinder A = 
 *4 = 113.0973355
*4 = 113.0973355 
Cylinder B  = 113.0973355 
 113.0973355  =
 = 
 *h
*h
 113.0973355  / 4
 / 4 = h
 = h
8.999999999998 = h
I think b/c of the rounding error of rounding off pi,  that h= 9
 
        
             
        
        
        
In order to the fourth player has the opportunity to bat, he/she needs that the three previous players make hit.
The joint probability of all three first batters make a hit is the product of their hitting percentages:
0.400 * 0.325 * 0.25
Pass the decimal numbers to fractions:
4/ 10 * 325/1000 * 25/100 = 32,500 / 1,000,000
Now simplify the fraction (divide numerator and denominator by 2500):
32,500 / 2,500 =   13
1,000,000 / 2,500 = 400
Then, 32,500 / 1,000,000 = 13 / 400
Answer: 13 / 400