Answer:
The margin of error for the 94% confidence interval is 0.6154.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean is:

The margin of error of this interval is:

The critical value of <em>z</em> for 94% confidence level is, <em>z</em> = 1.88.
Compute the margin of error for the 94% confidence interval as follows:

           
Thus, the margin of error for the 94% confidence interval is 0.6154.
 
        
             
        
        
        
Answer:
68.3 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan I = opp side / adj side
tan I = sqrt(82) / sqrt(13)
tan I = sqrt(82/13)
Taking the inverse tan of each side
tan ^-1 ( tan I) = tan ^-1( sqrt(82/13))
I = 68.2892
Rounding to the nearest tenth
I = 68.3 degrees
 
        
             
        
        
        
I believe the answer would be D, 2y+6/9y-7 x 3/2 because dividing by a fraction is the same as multiplying by its reciprocal (the fraction flipped). 
Hope I helped! ;)
        
                    
             
        
        
        
All you have to do is add them up so the answer would be 13.5