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Aarya is ordering food for a work event of 800 people and needs to know how many meals to order She asks a sample of people for their food preferences. the results are given below Type of meal Number Vegan 8 Vegetarian 9 Chicken 13 Beef 10 Estimate the total of vegan and vegeatarian meals she should order

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Final answer:

Aarya should order approximately 340 vegan and vegetarian meals for an event of 800 attendees, based on the proportion of dietary preferences in the sampled group.

Step-by-step explanation:

To estimate the total number of vegan and vegetarian meals Aarya should order for a work event of 800 people, we can use the sample data Aarya collected. In the sample, 8 people preferred vegan meals and 9 people preferred vegetarian meals, which is a total of 17 people with these preferences out of 40 people surveyed (since 8 + 9 + 13 + 10 = 40). To find out how many total vegan and vegetarian meals to order for 800 people, we perform the following calculations:

  1. Calculate the proportion of vegan and vegetarian preferences in the sample: 17 out of 40.
  2. Apply this proportion to the total number of attendees: 800 people × (17/40).
  3. Multiply and round to the nearest whole number, because you can't order a fraction of a meal.

Applying these steps to calculate the number:

800 × (17/40) = 800 × 0.425 = 340

Therefore, Aarya should order approximately 340 vegan and vegetarian meals for the event of 800 attendees to accommodate those dietary preferences.

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