A certain species of plant can have a height between 0 and 100 inches, inclusive. For the first ten plants that a gardener grows, the average (arithmetic mean) height of the plants was 55 inches. What is the least possible height of the gardener's 11th plant such that it would still be possible to have an average of at least 65 inches for the first 15 plants?

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A certain species of plant can have a height between 0 and 100 inches, inclusive. For the first ten plants that a gardener grows, the average (arithmetic mean) height of the
plants was 55 inches. What is the least possible height of the gardener's 11th plant such that it would still be possible to have an average of at least 65 inches for the first 15
plants?
Transcribed Image Text:A certain species of plant can have a height between 0 and 100 inches, inclusive. For the first ten plants that a gardener grows, the average (arithmetic mean) height of the plants was 55 inches. What is the least possible height of the gardener's 11th plant such that it would still be possible to have an average of at least 65 inches for the first 15 plants?
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