Answer:
  55
Step-by-step explanation:
Let x represent the middle integer. Then the smallest is x-2 and the largest is x+2. Your requirement is that ...
   (x-2)/(x+2) > 2/3
   3x -6 > 2x +4 . . . . cross multiply
   x > 10 . . . . . . . . . . .add 6-2x
The smallest integer satisfying this requirement is x=11. The sum of the 5 integers is 5x = 55.
The smallest sum is 55.
 
        
                    
             
        
        
        
Answer:
m = - 16/10
 = - 1.6
Step-by-step explanation:
m2 + 8m
 (the - 16 here is divided into 10 m's as you can see in m2 and 8m)
So, in order to find out what 1m is, you have to <em>divide</em> - 16 by 10, which gives you - 1.6 
Good luck! 
 
        
             
        
        
        
I'll sub my guy. Don't give up, keep climbing. 
 
        
             
        
        
        
Answer:
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 38 minutes, standard deviation of 4.5 minutes.
Determine the interval that represents the middle 68% of her commute times.
Within 1 standard deviation of the mean. So
38 - 4.5 = 33.5 minutes
38 + 4.5 = 42.5 minutes.
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
 
        
             
        
        
        
Answer:
The answer is 18.
Step-by-step explanation: