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katrin [286]
3 years ago
8

Sara has 37 bugs in her collection she will collect 8 new bugs bevery day. Sara will collect bug for times days for what value o

f times will sara have 109 bugs
Mathematics
1 answer:
PtichkaEL [24]3 years ago
7 0
I’m not entirely sure what you’re asking, but i think it would be 9 days
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Very nice handwriting but the math and English are confusing.

Let's assume we're told

\displaystyle 45 = \sum_{i=1}^9 (x_i - 10)^2

The subscript is important.

I think we're told the similar sum with 11 gives the smallest possible value for the sum. This is a rather cagey way of telling us 11 is the mean of the nine points. The mean is the number which minimizes the sum of squared deviations.

\displaystyle 45 = \sum_{i=1}^9 (x_i - 10)^2 = \sum x_i^2 - 20 \sum x_i + 9(100)

\displaystyle  \sum x_i^2=  20 \sum x_i  - 900

If 11 is the mean, the sum of the points is 9(11)=99.

\displaystyle  \sum x_i^2=  20 (99)  - 900 = 1080

Answer: 1080

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