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2 years ago

Write the recurring decimal 0,101010101... . as a fraction in its simplest form.

Mathematics

2 answers:

beks73 [17]2 years ago

8 0

Answer:

$\frac{10}{99}$

Step-by-step explanation:

We require to create 2 equations with the repeating decimal after the decimal point.

let x = 0.10101.... → (1)

Multiply both sides by 100

100x = 10.10101.... → (2)

Subtracting (1) from (2) eliminates the repeating decimal, thus

99x = 10 ( divide both sides by 99 )

x = $\frac{10}{99}$

DochEvi [55]2 years ago

5 0

Answer:

$\frac{10}{99}$

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Let's say we need t $2 bills and v $5 bills.

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Suppose 2' is a normally distributed random variable with ft = 10.3 and 0 = 3.8. For the following probability,draw an appropria

TiliK225 [7]

GIVEN

The following values are given:

$\begin{gathered} \mu=10.3 \\ \sigma=3.8 \end{gathered}$

SOLUTION

The z-score for the x values 9 and 14 can be calculated using the formula:

$z=\frac{x-\mu}{\sigma}$

For x = 9:

$\begin{gathered} z=\frac{9-10.3}{3.8} \\ z=-0.34 \end{gathered}$

For x = 14:

$\begin{gathered} z=\frac{14-10.3}{3.8} \\ z=0.97 \end{gathered}$

The probability can be calculated as follows:

$P(9\le x\le14)=Pr(-0.34The region that represents the solution is shown below:Therefore, the probability is given to be:[tex]P(9\le x\le14)=0.4671$

The probability is 0.4671.

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marusya05 [52]

Sarah is 14
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2 years ago

Write the recurring decimal 0,101010101... . as a fraction in its simplest form.​

Write the recurring decimal 0,101010101... . as a fraction in its simplest form.