Answer:
85 remaiinder of 16
Step-by-step explanation:
 
        
             
        
        
        
Answer:
 
 
The 99% confidence interval would be given by (0.286;0.562)
Step-by-step explanation:
Information given:
 represent the families owned at least one DVD player
 represent the families owned at least one DVD player
 represent the total number of families
 represent the total number of families
 represent the estimated proportion of families owned at least one DVD player
 represent the estimated proportion of families owned at least one DVD player
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by  and
 and  . And the critical value would be given by:
. And the critical value would be given by:
 
The confidence interval for the mean is given by the following formula:  
 
If we replace the values obtained we got:
 
 
The 99% confidence interval would be given by (0.286;0.562)
 
        
             
        
        
        
If they are parallel then the coefficients of x and y will remain the same.  Only the constant will change.
2x + 3y = ?
2(-2) +3(3) = -4 + 9 = 5 so ? is 5
ANSWER: 2x + 3y = 5
        
             
        
        
        
Answer:
Kay made 8 phone calls
Stephanie made 13 phone calls
Explanation:
Assume the number of phone calls that Stephanie made is x.
We are given that:
Kay made 5 phone calls less than Stephanie.
This means that:
Kay made x-5 phone calls
We know that the total number of phones is 21.
This means that:
21 = x + x - 5
Now we solve for x as follows:
21 = x + x - 5
21 = 2x - 5
2x = 26
x = 26/2
x = 13
This means that:
Stephanie made x = 13 phone calls
Kay made x - 5 = 13 - 5 = 8 phone calls
Hope this helps :)