Answer:
-$0.16
Step-by-step explanation:
The expected value is the sum of the outcomes multiplied by their probabilities.
E(X) = 1/38 (+68) + 37/38 (-2)
E(X) = -0.16
 
        
             
        
        
        
9514 1404 393
Answer:
- 13 ft
- (a) 1 second; (b) t = 0, t = 1/2
Step-by-step explanation:
<h3>1. </h3>
Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...
   5² +(w -1)² = w²
   w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms
   26 = 2w . . . . . . . . . . . . add 2w
   13 = w . . . . . . . . . . . . divide by 2
The length of the wire is 13 feet.
__
<h3>2. </h3>
(a) When h = 0, the equation is ...
   0 = -16t^2 +8t +8
Dividing by -8 puts this into standard form:
   2t^2 -t -1 = 0
Factoring, we get ...
   (2t +1)(t -1) = 0
The positive value of t that makes a factor zero is t = 1.
It will take 1 second for the gymnast to reach the ground.
__
(b) When h = 8, the equation is ...
   8 = -16t^2 +8t +8
Subtract 8 and divide by 8 to get ...
   0 = -2t^2 +t
   0 = t(1 -2t) . . . . factor out t
Values of t that make the factors zero are ...
   t = 0
   t = 1/2
The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.
 
        
             
        
        
        
Answer:
x > -11  
Step-by-step explanation:  
<u>Step 1:  Subtract 6 from both sides</u>  
-4x + 6 - 6 < 50 - 6  
-4x < 44
<u>Step 2:  Divide both sides by -4</u>  
-4x / -4 < 44 / -4
If you divide by a negative number, you flip the sign.  
<em>x > -11</em>
  
Answer:  x > -11
 
        
             
        
        
        
What i can see the total amount is wrong