Pemdas
parnthasees
exponnets
mult or div
add or sub
6x^-2 means
6 times x^-2
rmemeber
x^-m=1/(x^m)
6 times x^-2=6 times 1/(x^2)=6/(x^2)=
 
 
        
        
        
Answer:
144
Step-by-step explanation:
12x12=144
 
        
             
        
        
        
I am setting the week hourly rate to x, and the weekend to y.  Here is how the equation is set up:
13x + 14y = $250.90
15x + 8y = $204.70
This is a system of equations, and we can solve it by multiplying the top equation by 4, and the bottom equation by -7.  Now it equals:
52x + 56y = $1003.60
-105x - 56y = -$1432.90
Now we add these two equations together to get:
-53x = -$429.30 --> 53x = $429.30 --> (divide both sides by 53) x = 8.10.  This is how much she makes per hour on a week day.
Now we can plug in our answer for x to find y.  I am going to use the first equation, but you could use either.
$105.30 + 14y = $250.90.  Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40
Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends.  Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.
        
                    
             
        
        
        
Answer:
The minimum sample size is  
Step-by-step explanation:
From the question we are told that 
    The confidence interval is 
     The margin of error is  
    
Generally the sample  proportion can be mathematically evaluated as 
      
     
     
Given that the confidence level is  98% then the level of significance can be mathematically evaluated as 
          
         
         
Next we obtain the critical value of   from the normal distribution table
 from the normal distribution table  
    The value is 
         
Generally the minimum sample size is evaluated as 
       ![n  =[ \frac { Z_{\frac{\alpha }{2} }}{E} ]^2 *  \r p (1- \r p )](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%5Cfrac%20%7B%20Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%20%5Cr%20p%20%281-%20%5Cr%20p%20%29)
      ![n  =[ \frac { 2.33}{0.1} ]^2 *  0.475(1- 0.475 )](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%5Cfrac%20%7B%202.33%7D%7B0.1%7D%20%5D%5E2%20%2A%20%200.475%281-%200.475%20%29)
      