24. two negatives become a positive
        
                    
             
        
        
        
Answer:
Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:
measure angle 1 + measure angle 2 = 180°
 
Since measure of angle 2 is six more than twice the measure of angle 1, therefore:
measure angle 2 = 2 (measure angle 1) + 6
 
hence, substituting this into the first equation:
measure angle 1 + 2 (measure angle 1) + 6 = 180
3 (measure angle 1) = 174
measure angle 1 = 58°
 
Therefore,
measure angle 2 = 2 (measure angle 1) + 6
measure angle 2 = 2 (58°) + 6
measure angle 2 = 122*
 
        
             
        
        
        
Use the PMF for the given distribution:

Then the probability that X = 14 is

 
        
             
        
        
        
Answer:
1/18
Step-by-step explanation:
 
        
             
        
        
        
Move to right c units means minus c from every x
wider means horizontal strech, means multiply every x by r where |r|>1
so
the new function would be
f(x)=r|x-2| where |r|>1