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seraphim [82]
3 years ago
9

Glamour runs 2/3 mile each day she wants to know how many days she has to run before she has run a whole number of miles

Mathematics
1 answer:
Gelneren [198K]3 years ago
7 0
Hello!

2/3 × 1 = 2/3

2/3 × 2 = 4/3 (or 1 1/3)

2/3 × 3 = 2



You can also convert 2/3 to a decimal by dividing the numerator by the denominator and then multiply that to get a whole number.

ANSWER:

Glamour will have to run for 3 days to run a whole number of miles. The whole number is 2.


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<em>Remember: When the numerator and denominator both are positive integers or both are negative integers, it is a positive rational number. When either the numerator or the denominator is a negative integer, it is a negative rational number.</em>

(-1/-3) Positive Rational Number.

(+1/-3) Negative Rational Number.

(-2/+3) Negative Rational Number.

(+1/+3) Positive Rational Number.

(+2/-3) Negative Rational Number.

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Answer:

The need to sample 76 days.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many days do they need to sample

We need to sample n days.

n is found when M = 300.

We have that \sigma = 1010

So

M = z*\frac{\sigma}{\sqrt{n}}

300 = 2.575*\frac{1010}{\sqrt{n}}

300\sqrt{n} = 2.575*1010

\sqrt{n} = \frac{2.575*1010}{300}

(\sqrt{n})^{2} = (\frac{2.575*1010}{300})^{2}

n = 75.1

Rounding up

The need to sample 76 days.

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