In the first series, the summation applies to the whole (2n+3) inside 
the parentheses, so the 3 gets summed up 5 times.
But in the second one, the summation only applies to the 2n , so 
the 3 is only added after the summation is finished.
The difference between five 3s the first time and one 3 the second time 
is your 12 .
        
                    
             
        
        
        
You will do 60/2 to = 30 because the ratio of peaches to cherries is 2:3 and they need to have a unknown number of peaches lets say thats “x” therefore 60/2=x ,x=30 cups of peaches
        
             
        
        
        
Answer: A
Step-by-step explanation:
The pyramid's sides is twice as big so x is twice as big too
 
        
                    
             
        
        
        
Answer:
(E) 0.83
Step-by-step explanation:
We will solve it using conditional probability.
Let A be the event that a TV show is successful.
P(A) = 0.5
A' be event that the show is unsuccessful 
P(A') =0.5
Let B be the event that the response was favorable
P(B) = 0.6
Let B' be the event that the response was unfavorable/
P(B') = 0.4
P(A∩B) = 0.5 and P(A∩B') = 0.3
We need to find new show will be successful if it receives a favorable response.
P(A/B) = 
            = 0.5/0.6
            = 0.833