Answer:
 
    
 
    
And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence
Step-by-step explanation:
Information given
 represent the sample mean
 represent the sample mean
 population mean
 population mean  
s= 5.2 represent the sample standard deviation
n=59 represent the sample size  
Confidence interval 
The confidence interval for the true mean is given by the following formula:
 (1)
   (1)
The degrees of freedom are given by:
 
The Confidence interval is 0.90 or 90%, the significance is  and
 and  , and the critical value is
, and the critical value is  
Now we have everything in order to replace into formula (1):
 
    
 
    
And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence
 
        
             
        
        
        
9514 1404 393
Answer:
   (3, 1)
Step-by-step explanation:
We assume you want the solution to the system ...
The second equation gives a nice expression for x, so we can use that in the first equation.
   2(y+2) -3y = 3 . . . . substitute for x in the first equation
   2y +4 -3y = 3 . . . . . eliminate parentheses
   -y = -1 . . . . . . . . . . . collect terms, subtract 4
   y = 1 . . . . . . . . . . . . multiply by -1
   x = 1 +2 = 3 . . . . . . substitute for y in the second equation
The solution is (x, y) = (3, 1).
 
        
             
        
        
        
1] Given that the value of x has been modeled by f(x)=12500(0.87)^x, then:
the rate of change between years 1 and 5 will be:
rate of change is given by:
[f(b)-f(a)]/(b-a)
thus:
f(1)=12500(0.87)^1=10875
f(5)=12500(0.87)^5=6230.3
rate of change will be:
(6230.3-10875)/(5-1)
=-1161.2
 rate of change in years 11 to 15 will be:
f(11)=12500(0.87)^11=2701.6
f(15)=12500(0.87)^15=1,547.74
thus the rate of change will be:
(1547.74-2701.6)/(15-11)
=-288
dividing the two rates of change we get:
-288/-1161.2
-=1/4
comparing the two rate of change we conclude that:
The average rate of change between years 11 and 15  is about 1/4  the rate between years 1 and 5.
The answer is D]
2] Given that the population of beavers decreases exponentially at the rate of 7.5% per year, the monthly rate will be:
monthly rate=(n/12)
where n is the number of months
=7.5/12
=0.625
This is approximately equal to 0.65%. The correct answer is A. 0.65%
        
             
        
        
        
Answer:
x = 550 ÷ 33
what are the answer choises
Step-by-step explanation: