Answer:

Step-by-step explanation:
Hello, please consider the following.
When the parabola equation is like

The vertex is the point (h,k) and the focus is the point (h, k+1/(4a))
As the vertex is (3,-2) we can say that h = 3 and k = -2.
We need to find a.
The focus  is (3,2) so we can say.

So an equation for the parabola is.

Hope this helps.
Do not hesitate if you need further explanation.
Thank you
 
        
             
        
        
        
Complete Question 
Answer:
a
   
b
  
  
Step-by-step explanation:
From the question we are told that 
   The sample size is  n  = 60
    The first sample mean is  
     The second sample mean is   
     The first variance is  
     The first variance is  
Given that  the confidence level is 95% then the level of significance is 5% =  0.05
Generally from the normal distribution table the critical value  of   is
 is  
     
Generally the first standard deviation is  
      
=>   
=>   
Generally the second standard deviation is 
      
=>   
=>    
    
Generally the first standard error is 
      
       
      
Generally the second standard error is 
      
       
      
Generally the standard error of the difference between their mean scores is mathematically represented as    
       
=>     
=>     
Generally 95% confidence interval is mathematically represented as  
        
=>  
  
=>   
  
  
 
        
             
        
        
        
Answer:
Mean = sum of all elements/number of elements
           = (7.5 + 10.5 + 5 + 4.5 + 3.5 + 7.5 + 4 + 10 + 7.5 + 5)/10 
           = 6.5
=> Option C is correct
Hope this helps!
:)
 
        
             
        
        
        
Hey there! :)
Answer:
(1, 0).
Step-by-step explanation:
Convert from standard form to vertex form by completing the square:
y = x² - 2x + 1
Move 1 to the other side:
-1 = x² - 2x
Complete the square. Remember to add to both sides:
-1 + (1) = x² -2x + 1
Simplify:
0 = (x - 1)²
The function in vertex form is:
y = (x - 1)²
Therefore, the vertex is:
(1, 0).
 
        
             
        
        
        
Answer:
x+24<100
Step-by-step explanation: