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lyudmila [28]
3 years ago
6

What is the probability of getting a factor of 6 when you have 1 2 3 4 5 6

Mathematics
1 answer:
Marrrta [24]3 years ago
6 0
Hello,

I suppose you mean using all those digits one time.

The sum of the digits is a multiple of 3.
Every number formed with those digits is a multiple of 3.

To be divisible by 2 , the number must end with an even digit (2,4,6)

So probability is 3/6=1/2

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so for 9 pies, 9 times number of peaches per pie=9 times 5=45 cups pf peaches


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nasty-shy [4]

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From the given information, the half life of the drug in blood id 22 hours, so that means that it takes that number of hours to go from the initial value A_0, to a final value equal to A_0/2. Using this information we can find the decay rate "k" by solving for this parameter in the formula, and using the natural log function to bring the exponent down:

A(t)=A_0\,e^{-k\,t}\\\frac{A_0}{2} =A_0\,e^{-k\,*22}\\\frac{A_0}{A_0*2} =e^{-k\,*22}\\\frac{1}{2} =e^{-k\,*22}\\ln(\frac{1}{2})=-k\,*22\\ k=-\frac{ln(\frac{1}{2})}{22} \\k=0.0315

Now we use this value for the decay rate "k" to calculate how long it would take to decay to 90% of the original dose;

A(t)=A_0\,e^{-0.0315\,t}\\0.9*A_0} =A_0\,e^{-0.0315\,t}\\\frac{0.9*A_0}{A_0} =e^{-0.0315\,t}\\0.9 =e^{-0.0315\,t}\\ln(0.9)=-0.0315\,t\\ t=-\frac{ln(0.9)}{0.0315} \\t=3.3447\,hours

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The answer is 125%

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Happy to help!

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