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:
y = -x + 7/2
Step-by-step explanation:
the general equation would be y=mx+c, so you need to make sure your equation will follow that template.
First, bring -5 to left hand side and it will be 2+5=2y+2x
Then, bring 2x to left side to let 2y alone
2+5-2x = 2y
Let y be an alone variable by bringing 2 to the left
(2+5-2x)/2 = y
Simplify.
y= -x + 7/2
Answer:
29*sqrt(5)
Step-by-step explanation:
Start with sqrt (45). You must reduce it to it's prime factors.
45: 9 * 5 9 is not prime so reduce it.
45: 3 * 3 * 5
When you write √45, you should replace it with √(3*3*5)
The rule is
Rule: when you have a pair of equal prime factors under a root sign, you can take one out and throw one away.
Rule 2: If there are an odd number of equal primes one of them will be left underneath the root sign.
√45 = 3√5
11sqrt(45) - 4 sqrt(5) Substitute for 45
11*3*sqrt(5) - 4sqrt(5) Take out sqrt(5) using the distributive property.
(11*3 - 4)*sqrt(5) Combine 11 * 3
(33- 4) * sqrt(5) Do the subtraction
29 * sqrt(5) Answer
Each Interior Angle = 180° - (360 / sides)
144 = 180 - (360 / sides)
(360 / sides) = 36
sides = 360 / 36
sides = 10
It is a decagon.
Source:
http://www.1728.org/polygon.htm
Answer:
dirk =13.25 hours
charlie =11 75 hours
Step-by-step explanation:
c+d=25------(1)
d-1.5=c-----(2)
from (1),
c+d=25
c=25-d-----(3)
substitude (3) into (2)
d-1.5=c
d-1.5=25-d
2d=26.5
d=13.25
if d=13.25 hours
c+d=25
c+13.25=25
c=25-13.25
c=11.75
