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Question
directions: type the correct answer in the box. use numerals instead of words. a scientist reviews her data to find the measures of central tendency using a calculator. she finds the average mass of an adult brown bear is about 1.36e5 grams, and the average mass of a beetle fly is approximately 0.61e2 grams. she also found the sum total of her data using a calculator. the total brown bear population in the world is approximately 2e5, and the total beetle fly population is approximately 7e10. rounded to the nearest whole number, the total mass of all living beetle flies is approximately times more than the total mass of all living brown bears.
Step1: Calculate total bear mass
Multiply average bear mass by bear population:
$\text{Total bear mass} = 1.36 \times 10^5 \times 2 \times 10^5 = 1.36 \times 2 \times 10^{5+5} = 2.72 \times 10^{10}$ grams
Step2: Calculate total beetle fly mass
Multiply average fly mass by fly population:
$\text{Total fly mass} = 0.61 \times 10^2 \times 7 \times 10^{10} = 0.61 \times 7 \times 10^{2+10} = 4.27 \times 10^{12}$ grams
Step3: Find the mass ratio
Divide total fly mass by total bear mass:
$\text{Ratio} = \frac{4.27 \times 10^{12}}{2.72 \times 10^{10}} = \frac{4.27}{2.72} \times 10^{12-10} \approx 1.57 \times 100 = 157$
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