Answer:
Y = -10X - 5
Step-by-step explanation:
Y = mX + b 
m - slope
b - y - intercept.
 
        
             
        
        
        
Answer:
15
Step-by-step explanation:
 
        
                    
             
        
        
        
I believe the answer to this would be 268
        
             
        
        
        
Answer:

And we can solve this using the following z score formula:

And if we use this formula we got:

So we can find this probability equivalently like this:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
 
  
Where  and
 and  
We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean  is given by:
 is given by:
 
We want this probability:

And we can solve this using the following z score formula:

And if we use this formula we got:

So we can find this probability equivalently like this:
