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1 year ago

The histogram shows the distribution of heights, in inches, of 100 adult men.

Mathematics

1 answer:

pishuonlain [190]1 year ago

3 0

Based on the histogram, the interquartile rangle of the distribution is 5 inches.

<h3>What is the interquartile range?</h3>

The interquartile range is the difference between the third quartile of a data set and the first quartile of the data set.

First quartile = 1/4 x ( n + 1)

= 101 / 4 = 25.25

25.25 on the histogram is 66

Third quartile = 3/4 x (n + 1)

303 / 4 = 75.75

75.75 on the histogram is 71

Interquartile range = 71 - 66 = 5

Please find attached the image of the histogram. To learn more about histograms, please check: brainly.com/question/14473126

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2 years ago

If r and s are positive integers, is \small \frac{r}{s} an integer? (1) Every factor of s is also a factor of r. (2) Every prime

Yuri [45]

Answer:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

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Step-by-step explanation:

Given two positive integers $r$ and $s$ .

To check whether $\small \frac{r}{s}$ is an integer:

Condition (1):

Every factor of $s$ is also a factor of $r$ .

$r \geq s$

Let us consider an example:

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$\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10$

which is an integer.

Actually, in this situation $s$ is a factor of $r$ .

Condition 2:

Every prime factor of s is also a prime factor of r.

(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)

Let

$r = 2^2\cdot 5\\s =2^4\cdot 5$

$\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}$

which is not an integer.

So, the answer is:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

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3 years ago

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Temka [501]

Answer:

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Step-by-step explanation:

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3 years ago

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