Start by taking the information we know, and write equations to represent the realationships:
1) "1/8 lbs less flour to make bread than to make cookies"              

2) "1/4 lb more flour to make cookies than to make brownies:     

3) "she used 1/2 lb of flour ro make bread"    

From here you can solve for 

 using back substitution. 
 
        
        
        
Cos(39) + x/17 
x = 17cos(39) 
x = 13.2<span>1148134</span>
        
             
        
        
        
The location of R on the number line will be 15/7.
Number line:
Number line is used for the visual representation of numbers on a straight line. 
Basically, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers. 
Given,
On a number line, 
point S is located at – 3 and 
point T is located at 9.
Ratio of S and T = 3:4
We need to find the location of point R on S and T.
According to the given details,
The distance from S to T 
=> 3 + 9 = 12
Through this we know that,
=> SR + RT = 12 ---------------------(1)
Based on the ratio,
S/T = 3/4
Which is similar to,
SR/RT = 3/4
So,
SR = 3/4 RT -----------(2)
Apply the value of SR on equation (1),
Then
3/4RT + RT = 12
=> 7/4 RT = 12
=> RT = 12 x (4/7)
=> RT = 48/7
Now the location of point R,
=> OT - RT = 9 - 48/7
=> 15/7
Hence "The location of R on the number line will be 15/7".
To know more about Number line Here
brainly.com/question/13425491
#SPJ4
 
        
             
        
        
        
This problem can be solved from first principles, case by case.  However, it can be solved systematically using the hypergeometric distribution, based on the characteristics of the problem: 
- known number of defective and non-defective items.
- no replacement
- known number of items selected.
Let
a=number of defective items selected
A=total number of defective items
b=number of non-defective items selected
B=total number of non-defective items
Then 
P(a,b)=C(A,a)C(B,b)/C(A+B,a+b)
where 
C(n,r)=combination of r items selected from n,
A+B=total number of items
a+b=number of items selected
Given:
A=2
B=3
a+b=3
PMF:
P(0,3)=C(2,0)C(3,3)/C(5,3)=1*1/10=1/10
P(1,2)=C(2,1)C(3,2)/C(5,3)=2*3/10=6/10
P(2,0)=C(2,2)C(3,1)/C(5,3)=1*3/10=3/10
Check: (1+6+3)/10=1 ok
note: there are only two defectives, so the possible values of x are {0,1,2}
Therefore the 
PMF:
{(0, 0.1),(1, 0.6),(2, 0.3)}
        
             
        
        
        
75.7 liters to be exact because the full amt. not rounded is 75.7082. I got this by using conversion tables <span />