The first one is categorical data
the second one is discrete numerical
and the third one is continuous numerical
i hope this helps you
<span />
        
             
        
        
        
Answer:
   14 pounds
Step-by-step explanation:
The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.
<h3>Solution</h3>
   x = 20 -y . . . . . . . subtract y from the first equation
   7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation
   140 -1.5y = 119 . . . . . . . . simplify
   21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides
   14 = y . . . . . . . . . . . .divide by 1.5
14 pounds of soy nuts should be used in the mixture.
__
<em>Additional comment</em>
There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.
 
        
             
        
        
        
First, conceptually understand what an inverse function is, it makes solving it very intuitive.  An inverse function is simply a function which has points (y,x) for every point (x,y) of the parent function.  So you are essentially taking all points of the parent function and switching the x and y coordinates for each.  Those switched coordinates are produced by the "inverse function".
Mathematically then, finding the inverse function is a matter of solving for x and then switching the variable labels.  In this case:
y=2x+1  subtract 1 from both sides
y-1=2x  divide both sides by 2
(y-1)/2=x  now just switch the labels for the variables...
y=(x-1)/2  so
f^-1(x)=(x-1)/2  is the inverse of f(x)=2x+1
        
             
        
        
        
The three whites:
(30 choose 1) * (29 choose 1) * (28 choose 1) = 30 * 29 * 28
The two reds:
(20 choose 1) * (19 choose 1) = 20 * 19
So, The three whites + two reds = 30 * 29 * 28 + 20 * 19 = 24740
 
        
             
        
        
        
Answer:
(6, 8)
Step-by-step explanation:
