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12 March, 17:13

One 16-ounce bottle of an energy drink has an average of 500 mg of caffeine with a standard deviation of 25 mg. In a carton containing 30 bottles, what is the standard deviation of the average amount of caffeine?

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  1. 12 March, 17:25
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    In this case, every bottle has 500 mg of caffeine with a standard deviation of 25 mg. The equation of a bottle will be: 500 + / - 25mg caffeine per bottle.

    To calculate a carton containing 30 bottles, you just need the equation with 30. It will become: (500x30) + / - (25x30) mg = 15000 + / - 750 mg of caffeine per carton
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