Answer:  a) Required minimum sample size= 219
b) Required minimum sample size= 271
Step-by-step explanation:
As per given , we have
Margin of error : E= 5% =0.05
Critical z-value for 90% confidence interval : 
a) Prior estimate of true proportion: p=28%=0.28
Formula to find the sample size :-

Required minimum sample size= 219
b) If no estimate of true proportion is given , then we assume p= 0.5
Formula to find the sample size :-

Required minimum sample size= 271
 
        
             
        
        
        
Answer:
positive
Step-by-step explanation:
 If the variables tend to increase and decrease together, the association is positive. 
hope this helps :)
 
        
                    
             
        
        
        
Answer: x=27
Step-by-step explanation:
 
        
             
        
        
        
Answer:
8 pencils
Step-by-step explanation:
We can reverse everything that is happening in the problem like this!...
Jeremiah has 20 - 4 pencils = 16 than 2 reverse operation of multiplication which will be division then 16 ÷ 2 = 8
Check work? 8 more than 2 times equals 16 + 4 more that Jeremiah has equals 20 pencils 
 
        
                    
             
        
        
        
6x - 28 = 4x + 20
2x - 28 = 20
2x = 48
x = 24
6(24) - 28 = 116
mRS = 116°