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taurus [48]
3 years ago
12

Number of people who own a Nintendo Switch in different cities listed below. Round your ratio as a decimal to 5 places. Round th

e Owners per 100 to one decimal.

Mathematics
1 answer:
spin [16.1K]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

See numbers as table below and as attachment

<u>Calculation used to get numbers</u>:

  • Ratio = owners/population,  round to 5 decimal places
  • Owners per 100 = ratio*100,  round to 1 decimal place

==============================================================

City               Owners     Population          Ratio         Owners per 100

<u>Indianapolis 6,246      900,000           0.00694 0.7 </u>

<u>New York 911,216      18,600,000   0.04899 4.9 </u>

<u>Cairo        10,598      19,100,000   0.00055 0.1 </u>

<u>Beijing         959,611      21,200,000   0.04526 4.5 </u>

<u>Tokyo        1,700,510      26,500,000   0.06417         6.4 </u>

==============================================================

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==================================================

Work Shown:

\sqrt[4]{\frac{5x}{8y}}\\\\\\\sqrt[4]{\frac{5x*2y^3}{8y*2y^3}}\ \ \text{.... multiply top and bottom by } 2y^3\\\\\\\sqrt[4]{\frac{10xy^3}{16y^4}}\\\\\\\frac{\sqrt[4]{10xy^3}}{\sqrt[4]{16y^4}} \ \ \text{ ... break up the fourth root}\\\\\\\frac{\sqrt[4]{10xy^3}}{\sqrt[4]{(2y)^4}} \ \ \text{ ... rewrite } 16y^4 \text{ as } (2y)^4\\\\\\\frac{\sqrt[4]{10xy^3}}{2y} \ \ \text{... where y is positive}\\\\\\

The idea is to get something of the form a^4 in the denominator. In this case, a = 2y

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If y could be negative, then we'd have to say \sqrt[4]{(2y)^4} = |2y|. The absolute value bars ensure the result is never negative.

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