Answer:
1 /4 
Step-by-step explanation:
Given that :
Let :
P(S) = probability of drawing a spade
Odds in favor of drawing a spade = 1:3 ; this could be interpreted as :
P(drawing a spade)/P(not drawing a spade) = 1:3
P(S) / P(S') = 1/ 3
P(S') = 1 - P(S) 
P(S) / (1 - P(S)) = 1 / 3
Cross multiply :
3P(S) = 1 - P(S)
Collect like terms 
3P(S) + P(S) = 1
4P(S) = 1
P(S) = 1/4
Hence, probability ratio of drawing a spade P(S) = 1/4
 
        
             
        
        
        
Answer:2m^2+mn+2m+9n-3
Step-by-step explanation:
m(2+n-m)+3(3n+m^2-1)
open brackets 
2m+mn-m^2+9n+3m^2-3
Collect like terms 
3m^2-m^2+mn+2m+9n-3
2m^2+mn+2m+9n-3
 
        
             
        
        
        
Answer:
5 yards
Step-by-step explanation:
The measurements of the 180 should be Inches
Length of string Jasper needs = 180 inches
how many yards did he buy?
1 yard = 36 inches
Number of yards he needs = Length of string Jasper needs / inches per yard
= 180 inches / 36 inches
= 5 yards
Number of yards he needs = 5 yards
 
        
             
        
        
        
The length would be 16 ft on both sides.. The width would be 7 ft, I think since a wall is forming one side, and he 40 ft, so in order to make the other three side the maximum would be 39 ft, so I think you get it now. This is just my guess... I'm only in sixth grade :/