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:
205 tickets
Step-by-step explanation:
You multiply 250 by 0.18 (decimal form of 18%) and u get 45
Then you subtract 45 from 250 and you get 205
U can use elimination and multiply all the terms in the top expression to get 3x-3y = -4, or 4x = -4, so x = -1. plug it in to find y if needed
The definition of a function is a relation where every input (x value) is paired with exactly one output (y-value).
A. Not a function, because you have (300, 9) and (300,7). The x-value 300 is paired with two different y-values, 9 and 7.
B. Not a function. (260, 4) and (260, 2)
C. Is a function
D. Not a function. (225, 4) and (225, 2)
The length of the arc is 4π.
<u>Step-by-step explanation</u>:
Given,
- Diameter = 24 ft
- radius, r = diameter/2
- r = 24/2 = 12 ft
- central angle, ∅ = 60°
Arc length = ∅/360° (2πr)
⇒ 60°/360° (2π
12)
⇒ 24π/6
⇒ 4π
∴ The length of the arc is 4π.
