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kherson [118]
3 years ago
5

In 2004, 34.2 million accountants e-filed income tax returns. That was 114% of the number who e-filed in 2003. Find the number o

f accountants who e-filed income tax returns in 2003.
Mathematics
1 answer:
gogolik [260]3 years ago
4 0

Answer:

30 million.

Step-by-step explanation:

Let x be the number of accountants who e-filed income tax returns in 2003.

We have been given that in 2004, 34.2 million accountants e-filed income tax returns. That was 114% of the number who e-filed in 2003.

We can represent our given information in an equation as:

\frac{114}{100}\cdot x=34.2

1.14x=34.2

\frac{1.14x}{1.14}=\frac{34.2}{1.14}

x=30

Since the number is given in millions, therefore, 30 million accountants e-filed income tax returns in 2003.

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You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an
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b

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Step-by-step explanation:

From the question we are told that

     Two fair dice, one green and one red were rolled

Generally the  outcomes on the dice independent because the outcome on the first dice is not affected by the second die

Generally the  probability of getting a 1  on a dice rolled is  P(1) =  \frac{1}{6}

the  probability of getting a 5 on a dice rolled is  P(5) =  \frac{1}{6}

Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as

         P(1 \& 5) = \frac{1}{6}  *\frac{1}{6}

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Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as

          P(5 \& 1) = \frac{1}{6}  *\frac{1}{6}

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          P(5 \& 1 | 1\& 5  ) = \frac{1}{36} + \frac{1}{36}

         P(5 \& 1 | 1\& 5  ) = \frac{1}{18}

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