Answer:
AN = 16 units
Step-by-step explanation:
So we can use the fact that 
- Since this is an isosceles triangle, segments FO and FR are both equal to 7
Manipulating the equation above to solve for AN we have 
- Substituting in the known values we have  
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:     This is five-fold proportion
The first ratio gives solution namely
We will write general proportion  
a:b= c:d= e:f = g:h= i:j = k
According to this the first ratio gives coefficient k
When we divide 24/2 =12 our coefficient k=12
In the second ratio we will multiply 3 with 12 and get 36.
In the third ratio we will multiplu 5.5 with 12 and get 66.
In the fourth we will divide 108 with 12 and get 9.
In the fifth we will multiply 15 with 12 and get 180.
Finally the ratio is 24:2=36:3=66:5.5=108:9=180:15
 
        
                    
             
        
        
        
I just kind of sat here playing with numbers i dont really know a shortcut but the answer is 10 chickens and 15 rabbits 
10*2= 20 each chicken has two legs so thats 10 heads 20 legs
15*4=60 each rabbit has four legs so thats 15 heads 60 legs
15+10=25 heads
20+60=60 legs
        
                    
             
        
        
        
Answer:
(47.3, 54.1)
Step-by-step explanation:
We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:
 level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of  .
.
That is z with a pvalue of  , so Z = 1.96.
, so Z = 1.96.
Now, find the margin of error M as such

In which  is the standard deviation of the population and n is the size of the sample.
 is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 50.7 - 3.4 = 47.3
The upper end of the interval is the sample mean added to M. So it is 50.7 + 3.4 = 54.1
The answer is (47.3, 54.1).
 
        
             
        
        
        
Answer:
8.89cm
Step-by-step explanation:
The ratio is 16:9 (which is one of the most common in TVs) 
9:5=16:x
x=(16*5)/9
x=8.88....=8.89