Sherry and Kari both started their hike with a small bottle filled with water. Tia started her hike with a larger bottle that was ½ full. At the end of the hike, Sherry and Tia’s bottles were each half filled with water. Karl’s bottle was 1/3 filled with water. Who has the most water left? Construct a math argument to support your answer.

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

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He weights of 2-pound bags of best dog food are approximately normally distributed with a given mean  and standard deviation  according to the empirical rule, what percentage of the bags will have weights within 3 standard deviations of the mean? 47.5%68%95%99.7%