Answer:
The 99% confidence interval is  
Step-by-step explanation:
From the question we are told that 
      The sample  size  is  
       The  sample  mean is  
         The  standard deviation is  
  Given that confidence is  99%  then the level of significance is mathematically represented as 
               
               
 
              
Next we obtain the critical values of   from the normal distribution table
 from the normal distribution table 
    The  value is 
                    
 
 Generally the margin for error is mathematically represented as 
             
=>         
=>         
    The  99% confidence interval is mathematically represented as 
              
=>          
=>          
 
        
             
        
        
        
Answer:
35
Step-by-step explanation:
base × height so just multiple 7 and 5
 
        
                    
             
        
        
        
In the isosceles trapezoid ABCD, draw two perpendiculars AM and BL from A and B to the side CD.  
Now, LM = BA = 5 m  
CD = CL + LM + MD
        = CL + 5 + CL (CL = MD)
       = 2CL + 5  
But, CD = 11
Therefore, 2CL + 5 = 11
2CL = 11 - 5
        = 6
CL = 6/2 = 3m
MD = 3m
Now, consider the right triangle AMD.
We have,  

                   = 
                   = 16 - 9
                  = 7
Hence, height of the isosceles trapezoid = AM = 
 
        
             
        
        
        
Answer:
6p
Step-by-step explanation:
9p - 3p needs to have the like terms combined. 9 - 3 is 6, and since you have to keep the p, the answer is 6p.
 
        
             
        
        
        
The answer is going to be C