Answer:
x = -1
Step-by-step explanation:
Step 1: Write equation
-4(-5x + 2) - 3x - 5 = -30
Step 2: Solve for <em>x</em>
<u>Distribute -4:</u> 20x - 8 - 3x - 5 = -30
<u>Combine like terms:</u> 17x - 13 = -30
<u>Add 13 on both sides:</u> 17x = -17
<u>Divide both sides by 17:</u> x = -1
 
        
                    
             
        
        
        
Answer:
a) 0.25
b) 52.76% probability that a person waits for less than 3 minutes
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which  is the decay parameter.
 is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

The probability of finding a value higher than x is:

In this question:

a. Find the value of λ. 

b. What is the probability that a person waits for less than 3 minutes?

52.76% probability that a person waits for less than 3 minutes
 
        
             
        
        
        
It is actually not 28 because the volume of a cylinder is:  pi r^2 x h which in this case is pi x 36 x 4 which equals 452.39 rounded up