I would use length time width
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:
Randy is 48 years old
Sandy is 12 years old
Todd is 27 years old
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Step-by-step explanation:
Given
Represent their ages with the first letters of their names:



Required
Determine their individual ages
We'll solve the above equations using substitution method of simultaneous equations
Substitute 15 + S for T and 4 * S for R in 
This gives:


Collect Like Terms


Divide through by 6


<em>This implies that Sandy is 12 years old</em>
Substitute 12 for S in
and 




<em>This implies that Randy is 48 years old and Todd is 27</em>
Answer:
3. There is a phase shift (Horizontal shift).
Step-by-step explanation:
Use desmos to help you
Graph
y=sin(x+60)
y=sin(x)