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4 years ago

Find the sum express your answer in lowest term 18 7/12 plus 2 1/4

Mathematics

1 answer:

Rudik [331]4 years ago

8 0

Answer:

20 5/6

Step-by-step explanation:

First you turn them both into improper fractions.

18 7/12 turns into 223/12

2 1/4 turns into 9/4

then you put them as like denominators, 9/4 turns into 27/12

Now you add 27/12 + 223/12 which equals 250/12

Then you simplify

=125/6

= 20 5/6

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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.

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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

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3 years ago

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aalyn [17]

Answer:

y = 500x + 1000

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The standadrd equation of a line is expressed as y = mx+b

m is the slope

is the y-intercept

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Slope = 4000 - 1000/6-0

Slope m = 3000/6

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3 years ago

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