Answer:
8
Step-by-step explanation:
d=√(−5−3)2+(−2−(−2))2
d=√(−8)2+(0)2
d=√64+0
d=√64
d=8
 
        
                    
             
        
        
        
Answer:
        Age                               Frequency                   Cumulative Frequency
  Less than 30                             27                                       27
  Less than 40                             37                                27 + 37  =  64
  Less than 50                              1 1                                 64 + 11   =  75
  Less than 60                               3                                  75 + 2   =  77
  Less than 70                               5                                   77 + 5   =  82
  Less than 80                               1                                     82 + 1  =  83
  Less than 90                              2                                    83 +2  =  85
Step-by-step explanation:
Given:
The Frequency Distribution table of ages of best actresses when award was won 
To find:
Construct the cumulative frequency distribution
Solution:
In order to construct cumulative frequency distribution for the given data, each frequency from above table is added to the sum of the previous frequencies. For example, frequency for Less than 40  is 37 and the previous frequency (less than 30) is 27 so in order to calculate cumulative frequency 27 i.e. previous frequency is added to 37 (frequency of less than 30). The complete table is given above. 
 
        
             
        
        
        
Answer:
The statement in the question is wrong. The series actually diverges.
Step-by-step explanation:
We compute

Therefore, by the series divergence test, the series  diverges.
 diverges.
EDIT: To VectorFundament120, if  is a sequence, both
 is a sequence, both  and
 and  are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.
 are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.
 
        
                    
             
        
        
        
First, you divide the price by the amount of units in the pack. This is how you find how much one unit is worth in that pack. So for the first pack you divide 1.12 by three, and then you have .37333 repeating, which is about 38 cents. Next is the second pack, where we divide 4.38 by 12 which is .365, which is about 37 cents. The last pack is 8.68 divided by  24 which is .361, or about 36 cents. This means that the 24 pack is the best buy. 
In real life you should also consider which would be too much for you or not enough. For example,  you might not even need 24 units of juice. You might only need 12 so you don't have too much extra. But hey, this is just a math problem ;)