Answer:
Expected value of the game: -$0.421
Expected loss in 1000 games: $421
Step-by-step explanation:
There are two possible outcomes for the event:
- There is a 1 in 38 chance of winning $280
- There is a 37 in 38 chance of losing $8
The expected value for a single game is:

The expected value of the game is -$0.421
In 1,000 plays, the expected loss is:

You would expect to lose $421.
 
        
             
        
        
        
The first would be 4,000 and the second would be 400
        
             
        
        
        
Answer:
The answer is (d) ⇒ cscx = √3
Step-by-step explanation:
∵ sinx + (cotx)(cosx) = √3
∵ sinx + (cosx/sinx)(cosx) = √3
∴ sinx + cos²x/sinx = √3
∵ cos²x = 1 - sin²x
∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M
∴ (sin²x + 1 - sin²x)/sinx = √3
∴ 1/sinx = √3
∵ 1/sinx = cscx
∴ cscx = √3
 
 
        
             
        
        
        
Answer:
$3 dollars more
Step-by-step explanation:
 
        
             
        
        
        
Answer:
the present value is 3,162 euros 
Step-by-step explanation:
The computation of the present value is shown below:
As we know that
Future value = Present value × (1 + rate of interest)^number of years 
3,200 euros = Present value × (1 + 0.012)^1
3,200 euros =  Present value × 1.012^1
Present value is 
= 3,200 euros ÷ 1.012
= 3,162 euros
Hence, the present value is 3,162 euros