14/23=0.61
He reads a bit over half a book per week
        
             
        
        
        
Answer:
c = 36.06
Step-by-step explanation:
a² + b² = c²
20² + 30² = c²
400 + 900 = c²
c² = 1300

c = 36.06
 
        
             
        
        
        
Given :
p = 0.68
margin of error, E = 0.1
99% confident interval
alpha, α = 1 - 0.99
              = 0.01

∴  (z-critical value)
 (z-critical value)
Sample size = 
                     
                     
                    = 144.37
                   = 145 (rounded off)
Therefore, there are 145 businesses does she need to sample to meet this criteria.
 
        
             
        
        
        
Answer:

Step-by-step explanation:
In order to simplify a radical, we're looking for a perfect square within that number.
Say we have  .
.
We're looking for two numbers, where 
1. We can easily find the square root of the first number
2. When we multiply that number by the second, we get 108.
We can experiment with numbers for 108. We know that  , so we can form this statement now.
, so we can form this statement now.

<em>We know the square root of 36 is 6</em>. Therefore, we can put this outside the square root sign and leave 3 inside.

Hope this helped!