Total number of cards = 52
Total number of face cards = 12
P( 5 face cards) = (12/52)(11/51)(10/50)(9/49)(8/48) = 33/108290
Answer: 33/108290
        
             
        
        
        
Answer:
y=|x|
Here's a graph if needed.
 
        
             
        
        
        
Answer:
The rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
Step-by-step explanation:
Considering the point

If we reflect a point  across the line
 across the line  with equation
 with equation  , the coordinates of the point P flips their places and the sign of the coordinates reverses.
, the coordinates of the point P flips their places and the sign of the coordinates reverses. 
Thus, the rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
For example, if we reflect a point, let suppose A(1, 3), across the line  with equation
 with equation  , the coordinates of point A flips their places and the sign of the coordinates reverses.
, the coordinates of point A flips their places and the sign of the coordinates reverses. 
Hence,
A(1, 3) ⇒ A'(-3, -1)
 
        
             
        
        
        
Answer:
300 yards west of the library. The school is 200 yards east
Step-by-step explanation:
 
        
             
        
        
        
Answer: Average rates of change for Bird A is 0.045 and for Bird B is 3.816.
Step-by-step explanation: Through its graph, a function can be analyzed and be identified its attributes. Average Rate of Change is the ratio of change in the function values to the change of x-value, i.e., it is the slope of the function in a specific interval of x. With the Average it is possible to compare two function.
<u>Average Rate of Change</u>
<em><u>Bird A</u></em>:
For the interval [0,18]:
x₁ = 0 f(0) = 8.3
x₂ = 18 f(18) = 9.1
Average =  
 
Average = 
Average = 0.045
<em><u>Bird B</u></em>: y = 3.6(1.06)x
For the interval [0,18]:
x₁ = 0 y = 3.6(1.06)0 = 0
x₂ = 18 y = 3.6(1.06)18 = 68.7
Average =  
 
Average = 
Average = 3.816
The Average Rate for Change for Bird A is 0.045 and for Bird B is 3.816. This means that the population of Bird B increase in rate faster than the population of Bird A.