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Levart [38]
3 years ago
6

Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths o

f the sides.
Mathematics
1 answer:
Anton [14]3 years ago
8 0

Answer:

(I'll leave cm out to save space and time in the answer)

the perimeter is 500, there are 5 sides. so on average a side will be 100.

that's already the important key idea.

it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).

repeat this for the 1. and 5. side and we get:

80

90

100

110

120

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The heights (in inches) of 13 plants are 6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16, and 17. What is the interquartile range o
bonufazy [111]
The given heights:

6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16, 17.

The first step is to find Median in order to divide the above series into lower and upper quartiles.

To find the median, just cross out the first and the last value until you left with the single value, as the number of elements is odd.

Like first 6 would cancel the last 17,
second number 9 would cancel the second last number 16,
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By doing above exercise, we are left with 11.

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Now any number below the median 11 would be in lower quartile series, while other half would be in upper one.

To find the lower quartile, find the median of 6, 9, 10, 10, 10, 11:
Now the numbers are even; therefore, we would do the above-mentioned exercise of cancelling first and the last element until we are left with just 2 elements:

The two elements are: 10, 10.
Take average = (10 + 10) / 2 = 10

So lower quartile = 10

To find the upper quartile, find the median of 12, 12, 13, 14, 16, 17:
Now the numbers are even; therefore, we would do the above-mentioned exercise of cancelling first and the last element until we are left with just 2 elements:

The two elements are: 13, 14.
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The interquartile range = Upper Quartile - Lower Quartile = 13.5 - 10.0 = 3.5

So the correct option is (A) 3.5 


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