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jok3333 [9.3K]
2 years ago
5

- Saint Pauls Mid

Mathematics
1 answer:
Goshia [24]2 years ago
4 0

It should be noted that the median is the middle number in a sorted form whether ascending or descending while the interquartile range tells one the spread of the middle half of the distribution.

<h3>Solving median and interquartile range.</h3>

Your information is incomplete. Therefore, an overview will be given. To find the median, arrange the numbers given in an ascending or descending order and the middle number is the median.

Also, you can count how many numbers you've. If you have an odd number, divide the numbers by 2 and then round up in order to get the position of the median. In a case where it's an even number, divide it by 2 and go the number in the position and average it with the number that's in the next higher position in order to get the median.

In order to find the interquartile range, let's assume that the given numbers are 48, 52, 57, 64, 72, 76, 77, 81, 85, and 88. We've then numbers and this can be grouped into 5 each.

The first 5 will be 48, 52, 57, 64, and 72. In this case, the median in the first half which is Q1 is 57. The second 5 will be 76, 77, 81, 85, and 88. The median in the second half which is Q2 is 81. Therefore, the interquartile range will be:

= Q3 - Q1

= 81 - 57

= 24

Learn more about median and interquartile range on:

brainly.com/question/26151333

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Find the complex fourth roots of 81(cos(3pi/8) + i sin(3pi/8))
BartSMP [9]
By using <span>De Moivre's theorem:
</span>
If we have the complex number ⇒ z = a ( cos θ + i sin θ)
∴ \sqrt[n]{z} =  \sqrt[n]{a} \ (cos \  \frac{\theta + 360K}{n} + i \ sin \ \frac{\theta +360k}{n} )
k= 0, 1 , 2, ..... , (n-1)


For The given complex number <span>⇒ z = 81(cos(3π/8) + i sin(3π/8))
</span>

Part (A) <span>find the modulus for all of the fourth roots
</span>
<span>∴ The modulus of the given complex number = l z l = 81
</span>
∴ The modulus of the fourth root = \sqrt[4]{z} =  \sqrt[4]{81} = 3

Part (b) find the angle for each of the four roots

The angle of the given complex number = \frac{3 \pi}{8}
There is four roots and the angle between each root = \frac{2 \pi}{4} =  \frac{\pi}{2}
The angle of the first root = \frac{ \frac{3 \pi}{8} }{4} =  \frac{3 \pi}{32}
The angle of the second root = \frac{3\pi}{32} +  \frac{\pi}{2} =  \frac{19\pi}{32}
The angle of the third root = \frac{19\pi}{32} +  \frac{\pi}{2} =  \frac{35\pi}{32}
The angle of the  fourth root = \frac{35\pi}{32} +  \frac{\pi}{2} =  \frac{51\pi}{32}

Part (C): find all of the fourth roots of this

The first root = z_{1} = 3 ( cos \  \frac{3\pi}{32} + i \ sin \ \frac{3\pi}{32})
The second root = z_{2} = 3 ( cos \  \frac{19\pi}{32} + i \ sin \ \frac{19\pi}{32})

The third root = z_{3} = 3 ( cos \  \frac{35\pi}{32} + i \ sin \ \frac{35\pi}{32})
The fourth root = z_{4} = 3 ( cos \  \frac{51\pi}{32} + i \ sin \ \frac{51\pi}{32})
7 0
3 years ago
Factor by grouping<br> <img src="https://tex.z-dn.net/?f=2s%5E%7B3%7D%20-27-18s%2B3s%5E%7B2%7D%20%5C%5C" id="TexFormula1" title=
myrzilka [38]
Here is the anwser to the problem

6 0
3 years ago
Last One Please Help
tigry1 [53]

Answer: A. 3/5

Step-by-step explanation:

Count all the add numbers in 1-10 then add the 4 and you get

6/10

Simply and you get 3/5

7 0
3 years ago
Suppose M is the midpoint
AysviL [449]

x   =   9

Since M is the midpoint of XY:

XM   =   MY

XM =  2x  +  11

MY  =  5x  -  16

2x  +  11   =  5x  -  16

5x  -  2x   =  11  +  16

3x    =   27

x    =  27/3

x   =   8

Learn more here: brainly.com/question/18315903

6 0
2 years ago
Will mark brainliest if CORRECT
Annette [7]

Answer:

For every 7 hair bands there will be 4 ribbons

7 hair bands →→ 4 ribbons

14 hair bands →→ 8 ribbons

21 hair bands →→ 12 ribbons

etc.

6 0
3 years ago
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