Final answer:
The questions involve using mathematics to calculate nutritional values based on servings, probabilities of allergens in cookies, and statistical analysis of nutritional content in food items. These tasks are central to understanding the application of mathematical principles in daily life and making informed choices related to health.
Step-by-step explanation:
The student's question involves the subjects of mathematics and health, specifically within the context of nutrition facts and probability. In each instance, mathematical calculations are used to analyze nutritional information or determine probabilities associated with consuming certain types of cookies with specific ingredients. This type of analysis is relevant to developing an understanding of diet, as well as mastering basic concepts in probability and statistics.
For example, to answer the question related to consuming different amounts of Oreos (a, b, c, d), one would need to multiply the nutritional values per serving by the respective number of servings consumed. Furthermore, understanding and calculating probabilities, such as the likelihood a cookie contains chocolate or nuts, employs basic probability rules - this is particularly important for individuals with allergies, as in the case of the character Sean.
Additionally, determining which food is more energetic requires comparing calorie content per serving size, which in this case, is comparing the calorie content of peanut butter and Nutella per 100 grams. Similarly, constructing a confidence interval and calculating the mean grams of fat per serving of different brands of cookies involve applying statistical methods to infer information about the population from a sample.