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andreyandreev [35.5K]
3 years ago
8

if you are picking a number 1-20 what is the probability that you will pick an even number or multiple of three

Mathematics
1 answer:
natulia [17]3 years ago
3 0

Answer:

1/2

Step-by-step explanation:

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1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.
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3 and 12

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Solving Rational equations. LCD method. Show work. Image attached.
posledela

(k-2)(k-6)=k^2-2k-6k+12=k^2-8k+12

So in order to get all the fractions to have a common denominator, we need to multiply \dfrac k{k-2} by \dfrac{k-6}{k-6}, and \dfrac1{k-6} by \dfrac{k-2}{k-2}:

\dfrac k{k-2}\cdot\dfrac{k-6}{k-6}=\dfrac{k(k-6)}{(k-2)(k-6)}=\dfrac{k^2-6k}{k^2-8k+12}

\dfrac1{k-6}\cdot\dfrac{k-2}{k-2}=\dfrac{k-2}{(k-2)(k-6)}=\dfrac{k-2}{k^2-8k+12}

Now,

\dfrac4{k^2-8k+12}=\dfrac{(k^2-6k)+(k-2)}{k^2-8k+12}

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4=(k^2-6k)+(k-2)

4=k^2-5k-2

0=k^2-5k-6

We can factorize the right side:

0=(k-6)(k+1)

which tells us that k=6 and k=-1 are solutions.

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3 years ago
. Suppose a computer virus begins by infecting 8 computers in the first hour after it is released. Each hour after that, each ne
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1            8
 2          16
 3          32
 4          64
You have to plug in values for x to find y
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