Answer:
The  condition  are
            The  Null hypothesis is  
            The  Alternative hypothesis is   
 
The  check revealed that 
              There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons
Step-by-step explanation:
From the question we are told that 
      The  population mean is  
       The sample size is  n =  20 
       The sample mean is  
        The  standard deviation is 
    The  Null hypothesis is  
    The  Alternative hypothesis is   
 
So i will be making use of   level of significance to test this claim
 level of significance to test this claim 
     The critical value of   from the normal distribution table is
 from the normal distribution table is  
  
Generally the test statistics is mathematically evaluated as 
                  
substituting values 
                  
                 
Looking at the value of  t and  we see that
 we see that   so we fail to reject the null hypothesis
 so we fail to reject the null hypothesis  
   This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.
 
        
             
        
        
        
Z-m=z+bx
z-m-z=z+bx-z
-m=bx
bx=-m
bx/b=-m/b; b=0
x=-m/b; b=0
        
             
        
        
        
Answer:
option A
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45 = opposite / hypotenuse
 = s/
 = s/
 = s
 = s
root 2 and root 2 gets cancel
8 = s
 
        
             
        
        
        
Step-by-step explanation:
202·87–100·87–2·87
=99.13