Answer:
what do you need help with?
 
        
                    
             
        
        
        
(-23,-11) is the other endpoint due to (a+b/2)
        
             
        
        
        
Answer:
The decision rule is  
Fail to reject the null hypothesis 
The conclusion is  
 There is no sufficient evidence to show that the average room price is significantly different from $108.50
Step-by-step explanation:
From the question we are told that 
    The sample size is  n = 64
     The average price is  
     The population standard deviation is  
      The level of significance is  
     The population mean is  
The null hypothesis is  
The alternative hypothesis is  
Generally the test statistics is mathematically represented as
        
=>     
  
=>    
From the z table  the area under the normal curve to the left corresponding to  1.75  is  
        
Generally  p-value is mathematically represented as 
         
=>     
=>     
From the values obtained we see that   hence
 hence 
The decision rule is  
Fail to reject the null hypothesis 
The conclusion is  
 There is no sufficient evidence to show that the average room price is significantly different from $108.50
  
 
        
             
        
        
        
Answer:
see explanation
Step-by-step explanation:
There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.
The height above the tower to the plane = 13000 - 150 = 12850 ft
The angle between the plane and the tower is 20° , angle of depression.
Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then
tan20° =  =
 =  ( multiply both sides by hor)
 ( multiply both sides by hor)
hor × tan20° = 12850 ( divide both sides by tan20° )
hor =  ≈ 35305 ft ( to the nearest foot )
 ≈ 35305 ft ( to the nearest foot )
(2)
Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )
Using the right triangle formed with legs 65 and 37  and angle of depression x, then
tanx° =  =
 =  , thus
 , thus
x =  (
 ( ) ≈ 30° ( to the nearest degree )
 ) ≈ 30° ( to the nearest degree ) 
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
1,8
5,7
2,3