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Gnom [1K]
4 years ago
11

(x + y = 17 (y = x+7 Solve using substitution

Mathematics
1 answer:
Cloud [144]4 years ago
7 0
X+y=17
Y=x+7
X+x+7=17
2x+7=17
-7. -7
2x. =10
—- —
2. 2
X. = 5


Check:
Y=5+7
Y=12

Answer
X=5
Y=12
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Step-by-step explanation:

a)

<u>Mean</u>

a)\bar{x}=\frac{1.9+ 2.3+ 5.7+ 5.2+ 1.9+ 8.8+ 3.9+ 7.3}{8} =\frac{37}{8}=4.625=\approx 4.63

For the <u>Median</u>, we have to order the entries. So, ordering it goes:

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Since we have even entries \frac{\frac{n}{2}+\frac{n}{2} +1}{2}=\frac{4th+5th}{2}=\frac{3.9+5.2}{2}=4.55

mode

The mode for this data 1.9 1.9 2.3 3.9 5.2 5.7 7.3 8.8 is 1.9

b)

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Here it is the formula to calculate it:

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<u>Coefficient of Variation</u>

CV is the quocient between sample Standard deviation over Mean and it is used to make comparisons.

CV=\frac{S_x}{\bar{x}}*100%=\frac{2.58}{4.63} \approx 55.72%

<u>Range</u>

The difference between the highest and the lowest value of this sample

8.8-1.9=6.9

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