To determine the greatest number among the provided choices, let's analyze each one:
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The number of people in the world: As of 2023, the world population is approximately 8 billion, or 8 × 10^9.
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The number of solutions to z ≠ 77: The variable \( z \) can take an infinite number of values except for 77, which means there are infinitely many solutions. Hence, this represents infinity.
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The number of inches light travels in a year: The speed of light is about 186,282 miles per second. Converting this to inches per year:
- Light travels approximately \( 186,282 \text{ miles/second} \times 60 \text{ seconds/minute} \times 60 \text{ minutes/hour} \times 24 \text{ hours/day} \times 365 \text{ days/year} \).
- This gives about \( 5.878625 trillion \) miles in a year.
- Since there are 63,360 inches in a mile, light travels about \( 5.878625 \times 10^{12} \text{ miles/year} \times 63,360 \text{ inches/mile} \), which results in about \( 3.7 \times 10^{14} \) inches/year.
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The number of atoms in your body: A rough estimate is that the human body has around \( 7 \ × 10^{27} \) atoms.
Given these comparisons, we see that:
- The number of people in the world is around \( 8 × 10^9 \).
- The number of solutions to \( z \neq 77 \) is infinity.
- The number of inches light travels in a year is approximately \( 3.7 × 10^{14} \).
- The number of atoms in your body is around \( 7 \times 10^{27} \).
Among these, infinity (the number of solutions to \( z \neq 77 \)) is the greatest.