Answer:
Option A. -6.5
Step-by-step explanation:
we have

Solve for r
That means ---> isolate the variable r
Combine like terns left side of the equation

Divide by 0.5 both sides


 
        
             
        
        
        
We have given the table of number of male and female contestants who did and did not win prize 
The probability that a randomly selected contestant won prize given that contestant was female is
P(contestant won prize / Contestant was female)
Here we will use conditional probability formula
P(A/B) = 
Let Event A = selected contestant won prize and 
event B = selected contestant is famale
Then numerator entity will 
P(A and B) = P(Contestant won prize and Contestant is female)
 = Number of female contestant who won prize / Total number of contestant
 = 3 /(4+9+3+10)
 = 3 / 26
P(A and B) = 0.1153
P(B) = P(contestant is female ) 
 = Number of female contestant / Total number of contestants
 = (3+10) / 26
P(B) = 0.5
Now P(A / B) = 
 = 0.1153 / 0.5 
P(A / B) = 0.2306 
The probability that randomly selected contestant won prize given that contestant is female is 0.2306
Converting probability into percentage 23.06%
The percentage that randomly selected contestant won prize given that contestant is female is 23%
 
        
             
        
        
        
Jeff can travel 2 miles in one hour
        
             
        
        
        
Even function: f(-x) = f(x). If you replace x by -x you should find the same function.
Odd function: f(-x) = -f(x). If you replace x by -x you  find the same function with opposite sign;
Is f(-x) = f(x)?
f(x) = (x+4)² =  x² + 8x +16
f(-x) = (-x+4)² = x² - 8x + 16, then it's not an even function
Is f(-x) = -f(x)?
f(-x) = (-x+4)² = x² + 8x + 16 , then it's not an odd function
It is neither an even nor an odd function
        
             
        
        
        
Answer:
A
Step-by-step explanation:
7x² - 4x - 8 - [ -3x² - 3x - 3]
In subtraction, flip the sign of all terms in the minuend
    7x² - 4x - 8 
   <u> 3x² + 3x + 3</u>
    4x² - x - 5