# Suppose a news story about the Super Bowl claims "Men outnumbered women in the stadium by a ratio of 9 to 5." Haru thinks that this means there were 14 people in the stadium— 9 men and 5 women. Is this true?

It could be true. Objectively.

The ratio of "9 to 5" means that there are 9 men for every 5 women. If there are 14 people because there are 9 men and 5 women, you have proved the ratio correct.

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It is not true.

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No, Haru's interpretation is incorrect. The ratio provided in the news story indicates that for every 9 men, there were 5 women in the stadium. To determine the total number of people, we need to add the number of men and women together.

If we consider the ratio as 9 men to 5 women, then for every 9 men, there are 5 women. In other words, the total number of parts in the ratio is 9 (men) + 5 (women) = 14 parts.

To find the actual number of individuals, we need to divide the total number of parts by the number of parts represented by one person. So, if we divide the total number of parts (14) by the sum of the parts represented by one person (9 + 5 = 14), we get 1.

Therefore, the ratio indicates that for every 1 part of the ratio, there is 1 person. Hence, if the ratio is 9 men to 5 women, the total number of people in the stadium would be 9 + 5 = 14, not 14 people in total as Haru incorrectly assumed.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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