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3 years ago

All of the following are rational numbers: .5, 7, V16 O True O False

Mathematics

1 answer:

wel3 years ago

4 0

Answer:

Your answer is: A) True

( I say true because 1) .5 2) 7 are rational) ( I dont know about v16, if that is what it is supposed to say, then I cant quite tell)

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Step-by-step explanation:

Hope this helped : )

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3 years ago

an outlier may be defined as a data point that is more than 1.5 times the interquartile range below the lower quartile or is mor

Ira Lisetskai [31]

Supposing a normal distribution, we find that:

The diameter of the smallest tree that is an outlier is of 16.36 inches.

--------------------------------

We suppose that tree diameters are normally distributed with mean 8.8 inches and standard deviation 2.8 inches.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

Mean of 8.8 inches, thus $\mu = 8.8$ .
Standard deviation of 2.8 inches, thus $\sigma = 2.8$ .

The interquartile range(IQR) is the difference between the 75th and the 25th percentile.

25th percentile:

X when Z has a p-value of 0.25, so X when Z = -0.675.

$Z = \frac{X - \mu}{\sigma}$

$-0.675 = \frac{X - 8.8}{2.8}$

$X - 8.8 = -0.675(2.8)$

$X = 6.91$

75th percentile:

X when Z has a p-value of 0.75, so X when Z = 0.675.

$Z = \frac{X - \mu}{\sigma}$

$0.675 = \frac{X - 8.8}{2.8}$

$X - 8.8 = 0.675(2.8)$

$X = 10.69$

The IQR is:

$IQR = 10.69 - 6.91 = 3.78$

What is the diameter, in inches, of the smallest tree that is an outlier?

The diameter is 1.5IQR above the 75th percentile, thus:

$10.69 + 1.5(3.78) = 16.36$

The diameter of the smallest tree that is an outlier is of 16.36 inches.

A similar problem is given at brainly.com/question/15683591

3 0

2 years ago

Paul has 16 fish pictures and 12 deer pictures. He wants to arrange the pictures in rows with the same numbers of fish and of de

VladimirAG [237]

Answer:

4 rows

Step-by-step explanation:

GCF of 12 and 16 is4

5 0

3 years ago

14/15 divided by 7/5

Charra [1.4K]

9514 1404 393

Answer:

2/3

Step-by-step explanation:

There are a couple of different ways that division of fractions can be done.

1) "invert and multiply"

$\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\times\dfrac{5}{7}\\\\=\dfrac{14}{7}\times\dfrac{5}{15}=\boxed{\dfrac{2}{3}}$

2) use the numerators when the denominators are the same

$\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\div\dfrac{21}{15}\\\\=\dfrac{14}{21}=\boxed{\dfrac{2}{3}}$

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3 years ago

If circumstances are less than desirable or if something seems suspicious or amiss, approach the vehicle form the right-hand or

tino4ka555 [31]

Answer:

Only one person is in the stopped vehicle

Step-by-step explanation:

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3 years ago