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qaws [65]
3 years ago
6

Below is the five-number summary for 136 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of

time to complete the 212-mile hike from Yosemite Valley across the high Sierras to the top of Mount Whitney. Five-number summary: Minimum: 9 days Q1: 18 days Median: 21 days Q3: 28 days Maximum: 56 days If we use the 1.5 * IQR rule to determine whether there are any outliers, what is the right boundary?
Mathematics
1 answer:
Naddik [55]3 years ago
4 0

Answer:

43

Step-by-step explanation:

We have the following data:

Total number of hikers: 136

Minimum: 9 days

Q1 : 18 days

Median: 21 days

Q3: 28 days

Maximum: 56 days

Using the 1.5 Interquartile rule means:

Left boundary: Q1 - 1.5 × IQR

Right boundary: Q3 + 1.5 × IQR

We first calculate the IQR (Interquartile Range): Q3 - Q1

⇒ 28 - 18 = 10

Right boundary: 28 + 1.5 × 10

= 28 + 15

= 43

Hence the right boundary is 43.

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By comparing all the options with the formula of sum of cubes and difference of cubes we get that  (x+4)\left(x^{2}-4 x+16\right)  is sum of cubes

<h3>What is formula of sum of cubes and difference of cubes?</h3>

Formula of sum of cubes and difference of cubes are following

(a+b)(a^2 -ab +b^2) = a^3+ b^3 \\\\\\(a - b)(a^2+ ab+ b^2) = a^3 - b^3

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(b)

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(c)

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(d)

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by comparison with formula this is equal to

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(e)

(x+4)\left(x^{2}+4 x+16\right)\\(x+4)\left(x^{2}+4 x+4^2\right)

by comparison with formula we can say that this is neither sum  nor difference of cubes.

By comparing all the options with the formula of sum of cubes and difference of cubes we get that  (x+4)\left(x^{2}-4 x+16\right) is sum of cubes

To know more about cubes visit: brainly.com/question/107100

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a piece of wood has a width of 5 cm and a hight of 10 cm its volume is 100 cm3 what is the length of the wood
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