Answer:
The decision rule is  
Reject the null hypothesis  
Step-by-step explanation:
From the question we are told that 
     The population mean is 
      The  sample size is  n =  160 
       The sample mean is  
      The variance is 
        The level of significance is  
The null hypothesis is  
 The alternative hypothesis is 
Generally the standard deviation is mathematically represented as 
            
=>          
  
=>          
  
Generally the test statistics is mathematically represented as 
         
=>      
  
=>     
From the z table  the area under the normal curve to the left corresponding to  2.53   is 
         
From the value obtained we see that the  hence
 hence 
The decision rule is  
Reject the null hypothesis  
The conclusion is  
There is sufficient evidence to conclude that the believe  that the valve performs above the specifications is true 
  
 
        
             
        
        
        
Answer:

Step-by-step explanation:

 
        
             
        
        
        
The answer is 43j you just have to add them together
        
                    
             
        
        
        
The letter R is on the yellow section, which indicates the yellow area is plane R.
 Now see what points and lines are on the yellow sections.
Point M, point R, line F are all in the yellow area. Point X and Y are at the intersection of the two planes, so could be part of both.
 Based on the provided answers, the answer would be: Point M and line f.
 
        
             
        
        
        
Answer:
10
Step-by-step explanation:
Multiply 4 by 2.5 to get 10