X=7 7 is the value of this math problem
        
             
        
        
        
Answer:  
the sales price of backpack = $25.3
the sale price of sweatshirt =  $15.3
The sale price of soccer ball = $24.80
 
        
             
        
        
        
Answer:
a
 
b

c 
  With the result obtained from a and b the manager can be 95 % confidence that the proportion of the population that complained about dirty or ill-equipped bathrooms are within the interval obtained at  a
and that 
 the proportion of the population that complained about loud or distracting diners at other tables are within the interval obtained at  b 
Step-by-step explanation:
From the question we are told that 
 The sample size is  
 The number that complained about dirty or ill-equipped bathrooms is 
  The number that complained about loud or distracting diners at other tables is  
Given that the the confidence level is  95% then the level of significance is mathematically represented as  
          
          
Next we obtain the critical value of   from the normal distribution table , the value is
 from the normal distribution table , the value is  
          
Considering question a 
 The sample proportion is mathematically represented as 
            
=>        
=>        
Generally the margin of error is mathematically represented as 
           
           
           
The 95% confidence interval is  
         
         
         
Considering question b
 The sample proportion is mathematically represented as 
            
=>        
=>        
Generally the margin of error is mathematically represented as 
           
           
           
The 95% confidence interval is  
         
         
         
 
        
             
        
        
        
Answer:
 99 marks
Step-by-step explanation:
Given:
Juan received scores of 82, 76, 93, and 80 on his first four chemistry tests.
His goal is to have an 86 average in chemistry for his first five tests.
Question asked:
What score must he earn on the next test to achieve an average of exactly 86?
Solution:
Let score he must earn on the fifth test = 
As we know:
Scores in five test = 82, 76, 93, 80, 
Total number of test = 5
<u>We can find the score of fifth test, he must earn to achieve an average of exactly 86 by using this formula:</u>

 
By cross multiplication

Subtracting both sides by 331

Therefore, he must earn 99 marks to achieve an average of exactly 86 for his first five tests in chemistry. 
 
        
             
        
        
        
You can simply look and see if one is terminating by seeing if it ends. For example, 2.54 is terminating since the numbers after the decimal aren't repeating. A repeating number is for example 0.555555..