Answer:
   
Step-by-step explanation:
The generating function a(x) produces a power series ...
   
where the coefficients are the elements of the given sequence.
We observe that the given sequence has the recurrence relation ...
   
This can be rearranged to ...
   
We can formulate this in terms of a(x) as follows, then solve for a(x).

The generating function is ...
   a(x) = 1/(1+2x)
 
        
                    
             
        
        
        
Well lets do this
3 + 16 ÷ 4 
we divide first
3 + 4
Addition
=7
        
             
        
        
        
The density of the gold sample is 19.3g/cm³
Let the mass of the gold sample be represented by m
m = 579 g
Let the volume of the gold sample be represented by V
V = 30 cm³ 
Let the density of the gold sample be represented by ρ
The formula for the density is:


The density of the gold sample is 19.3g/cm³
Learn more here: brainly.com/question/17780219
 
        
             
        
        
        
Step-by-step explanation:
When a number is grouped with the x in this problem it will move the graph right (if it is is minus) and it will 
move it left ( if it is plus), therefore the original graph will be move to the left 5 units.
 
        
                    
             
        
        
        
Answer:
Candidates are chosen without replacement, thus trials are dependent, meaning that Y has a hypergeometric distribution.
Step-by-step explanation:
Difference between hypergeometric and binomial distributions:
In the hypergeometric distribution, trials are dependent of other trials, while in the binomial distribution, they are independent. This can be examplified that in the hypergeometric distribution, the candidates are chosen from a set without replacement, while in the binomial distribution they are chosen with replacement.
In this question:
Candidates are chosen without replacement, thus trials are dependent, meaning that Y has a hypergeometric distribution.