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2 years ago

How do you convert 2.314 (14 repeating) as a fraction?

Mathematics

1 answer:

Katarina [22]2 years ago

7 0

Answer:

You multiply it by 1000. If you're talking about converting decimals to fractions.

Step-by-step explanation:

2.314

2 is the whole number, you leave that alone for right now.

0.314 is the decimal part.

Rewrite the decimal with a denominator of 1.

$\frac{0.314}{1}$

Because this decimal goes all way to the thousandths place, you multiply the top and the bottom by 1,000.

$\frac{0.314}{1}$ ×1000= $\frac{314}{1000\\}$

Next you simplify divide the top and bottom by the GCF (greatest common factor) in this case 2.

$\frac{3.14}{1000}$ ÷2

= $\frac{157}{500}$

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Lelu [443]

1.5r+15=2.25r
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2 years ago

Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 107 homicides. After

leonid [27]

Answer:

P(0) = 0.6825

P(1) = 0.2607

Step-by-step explanation:

From the given information, the number of homicide is 107 and the total number of homicides per city –year is 280.

Let us denote the number of homicides per city-year as X.

The mean value, X is calculated as:

\begin{array}{c}\\{\rm{Mean}} = \frac{{107}}{{280}}\\\\ = 0.382\\\end{array}

Mean= 107/280 = 0.382

The mean number of homicides per city- year \left( {\lambda = \mu } \right)(λ=μ) is 0.382.

a. The probability that zero homicides is obtained is as below:

\begin{array}{c}\\P\left( {X = 0} \right) = \frac{{{e^{ -0.382}}{{\left( {0.382} \right)}^0}}}{{0!}}\\\\ = \frac{{\left( {0.6825 \right)\left( {\rm{1}} \right)}}{1}\\\\ = 0.6825\\\end{array}

P(X=0) = e −0.382 (0.382)⁰/1

= (0.6825)(1) /1

P(X=0) = 0.6825

Thus, the probability that zero homicides P(0) is 0.6825.

b. The probability that one homicides is obtained is as below:

\begin{array}{c}\\P\left( {X = 0} \right) = \frac{{{e^{ -0.382}}{{\left( {0.382} \right)}^0}}}{{0!}}\\\\ = \frac{{\left( {0.6825 \right)\left( {\rm{1}} \right)}}{1}\\\\ = 0.6825\\\end{array}

P(X=1) = e −0.382 (0.382)¹/1

= (0.6825)(0.382)/1

P(X=1) = 0.2607

Thus, the probability that zero homicides P(0) is 0.2607.

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2 years ago

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melisa1 [442]

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