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victus00 [196]
4 years ago
10

A snail moves 1/50 a mile in 5/6 of an hour. If the snail continues at this pace, how far, in miles, does it move in one hour?

Mathematics
1 answer:
MatroZZZ [7]4 years ago
5 0
\dfrac{5}{6} \text { of an hour = }   \dfrac{1}{50}  \text { mile}

--------------------------------------------------------------
Find 1/6 hour :
--------------------------------------------------------------
\dfrac{1}{6} \text { of an hour = }   \dfrac{1}{50} \div 5  \text { mile}

\dfrac{1}{6} \text { of an hour = }   \dfrac{1}{50} \times  \dfrac{1}{5}   \text { mile}

\dfrac{1}{6} \text { of an hour = }   \dfrac{1}{250} \text { mile}

--------------------------------------------------------------
Find 6/6 hour ( 1 hour) :
--------------------------------------------------------------
\dfrac{6}{6} \text { of an hour = }   \dfrac{1}{250} \times 6 \text { mile}

\dfrac{6}{6} \text { of an hour = }   \dfrac{6}{250} \text { mile}

\dfrac{6}{6} \text { of an hour = }   \dfrac{3}{125} \text { mile}

--------------------------------------------------------------
Answer: It moves 3/125 mile in an hour.
--------------------------------------------------------------
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<u>Step-by-step explanation:</u>

Here it's given that , You enter a chess tournament where your probability of winning a game is 0.3 against half the players (call them type 1), 0.4 against a quarter of the players (call them type 2), and 0.5 against the remaining quarter of the players (call them type 3). You play a game against a randomly chosen opponent. More precisely :

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Now, we choose a random opponent and we need to find probability of winning which is possible as :

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Combining all cases we get :

⇒ w = type1(1-type2)(1-type3) + (1-type1)type2(1-type3) + (1-type1)(1-type2)type3

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Step-by-step explanation:

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