Let n = .234....
Now our job is to get the entire part that repeats on the left of the decimal point.
If we multiply the number by 1000 exactly one 2, one 3 and one 4 will move to the left.
So 1000n = 234.234... now lets remove our original number
-<u> n = -.234...</u> Notice how all the repeaters minus all the repeaters
999n = 234 leaves only the 234 that we move to the left of
the decimal point
Now lets divide both side by 999
<u>999n </u> = <u>234
</u>999 999 this is the answer in unreduced form 9 can go into both = <u>26</u><u>
</u> 111
<u />
Try it on your calculator (divide 26 by 111)
Answer:
12
Step-by-step explanation:
Factors of 30: 1,2,3,5,(6),10,15,30
Factors of 42: 1,2,3,(6),7,14,21,42
30 divided by 6, 42 divided by 6
(5) + (7)= 12
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Collect like terms


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Answer:
P(D|A)=0.666
Step-by-step explanation:
We will use the tree diagram to understand these probabilities that is attached to the bottom of this answer.
Since there are three coins in the box, the probability of taking one in particular (the double-headed one, which is event D) is one third, which is equal to 0.333
Since the coin showed heads, the probability of it being a double-tailed coin is zero.
The Bayes theorem says that P(D|A) is the multiplication of P(D) and P(A), divided the probability of A happening by any means, happening D or not, which is the sum of all probabilities of A happening:
