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mestny [16]
3 years ago
11

Will give Brainliest! if right!

Mathematics
2 answers:
Ilya [14]3 years ago
8 0
<span>46, 37, 16, 24, 47, 23, 19, 31, 25

put in order</span>
16, 19, 23, 24, 25, 31,37, 46, 47

mean = 25

LOWER QUARTILE = (16+ 19+ 23+ 24) / 4 = 20.5

answer 
Lower IQR = 20.5
viktelen [127]3 years ago
4 0
16, 19, 23, 24, 25, 31, 37, 46, 47
25-16=9
9/2=4.5
16+4.5=20.5
20.5
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A^2 + b^2 + c^2 = 2(a − b − c) − 3. (1) Calculate the value of 2a − 3b + 4c.
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Answer:

2a - 3b + 4c = 1

Step-by-step explanation:

Given

a^2 + b^2 + c^2 = 2(a - b - c) - 3

Required

Determine 2a - 3b + 4c

a^2 + b^2 + c^2 = 2(a - b - c) - 3

Open bracket

a^2 + b^2 + c^2 = 2a - 2b - 2c - 3

Equate the equation to 0

a^2 + b^2 + c^2 - 2a + 2b + 2c + 3 = 0

Express 3 as 1 + 1 + 1

a^2 + b^2 + c^2 - 2a + 2b + 2c + 1 + 1 + 1 = 0

Collect like terms

a^2 - 2a + 1 + b^2 + 2b + 1 + c^2  + 2c + 1 = 0

Group each terms

(a^2 - 2a + 1) + (b^2 + 2b + 1) + (c^2  + 2c + 1) = 0

Factorize (starting with the first bracket)

(a^2 - a -a + 1) + (b^2 + 2b + 1) + (c^2  + 2c + 1) = 0

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((a - 1)^2) + (b^2 + b+b + 1) + (c^2  + 2c + 1) = 0

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((a - 1)^2) + ((b + 1)^2) + ((c  + 1)(c + 1)) = 0

((a - 1)^2) + ((b + 1)^2) + ((c  + 1)^2) = 0

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(a - 1)^2 + (b + 1)^2 + (c  + 1)^2 = 0 + 0+ 0

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2a - 3b + 4c = 2 +3  -4

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