Answer:
15 divided by 1/5 is equal to 1.
 
        
                    
             
        
        
        
Answer:
The interval from the sample of size 400 will be approximately <u>One -half as wide</u> as the interval from the sample of size 100
Step-by-step explanation:
From the question we are told the confidence level is  95% , hence the level of significance is    
        
=>    
Generally from the normal distribution table the critical value  of   is
 is  
     
Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion 
Generally the margin of error is mathematically represented as 
        
     
Here assume that  is constant so
 is constant so 
      
=>  
=>   
So  let   and
 and 
=>   
=>  
=>  
So From this we see that  the confidence interval for a sample size of 400 will be half that with a sample size of 100
     
       
     
 
        
             
        
        
        
Answer:
Helena is correct. 
Step-by-step explanation:
The slope intersept form of the line is 
y = m x + c 
where, m is the slope and c is the intersept. 
The point slope form of the equation is 

So, if there are two points are given, the equation of line is found by the point slope form. 
So, Helena is correct. 
 
        
             
        
        
        
Step-by-step explanation:
3n+4n=-14
now add 3n and 4n
7n = -14
divide both by 7
n = -2
 
        
             
        
        
        
Answer:
FG=30
Step-by-step explanation:
Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that: 

We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute: 

Solve for x. On the right, combine like terms: 

Subtract 3x from both sides: 

So, the value of x is 10. 
To find the value of FG, substitute 10 into its x:

Multiply: 

Add: 

And we're done!