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igor_vitrenko [27]
3 years ago
8

What is the rational number equivalent to 3.24​

Mathematics
1 answer:
aev [14]3 years ago
8 0

Answer:

The rational number equivalent to 3.24 repeating is 321/99

Step-by-step explanation:

To convert the decimal number to a rational number we can state this number and its multiples of 10, trying to find two number with identical decimal parts:

n=3.24242424...

10n=32.4242424....

100n=324.2424242...

Now, 100n and n have the same decimal part, then by subtracting these numbers we obtain:

100n-n=324.24242424...-3.24242424... = 321

99n  = 321

n = 321/99

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Answer:

-1 < x < 4.

Step-by-step explanation:

- 6 < 2x - 4 <4

2x - 4 < 4

2x < 8

x < 4.    Also we have:

2x - 4 > -6

2x > -2

x > -1.

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A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m
arsen [322]

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let <em>X</em> = number of individuals in the United States who held multiple jobs.

The probability that an individual holds multiple jobs is, <em>p</em> = 0.13.

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An individual holding multiple jobs is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 225 and <em>p</em> = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion <em>p</em>.

Conditions of Normal approximation to Binomial are:

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Check the conditions as follows:

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The distribution of the proportion of individuals who hold multiple jobs is,

p\sim N(p, \frac{p(1-p)}{n})

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

P(p

*Use a <em>z</em>-table.

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7 0
3 years ago
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Ivan
D. 4.25 < 43/10 < 13/3 
     
4.25   = 4.25
43/10 = 4.3
13/3   = 4.33

4.25 < 4.3 < 4.33
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