Final answer:
The scenario with Helena and the fudge shop represents a High School level problem in Mathematics, involving inequalities. For probability calculations involving cookies and dietary restrictions, the use of basic probability rules is illustrated.
Step-by-step explanation:
The subject of the question is Mathematics, specifically probability and inequalities which are typically covered in High School curriculum.
To represent the scenario involving Helena and the fudge shop using an inequality, let's define a variable x to represent the amount of fudge containing nuts at the fudge shop on Monday morning. Since Helena adds 10 pounds of fudge with walnuts, and after her addition, there are at least 24 pounds of fudge with nuts, the inequality can be written as:
x + 10 ≥24
Where, x must be a non-negative number.
For the conditional probability related to the nine-year-old child eating the doughnut, and the calculation of mean grams of fat for the cookies, correct interpretations and calculations would be necessary but would require more information.
Using the given information for the assorted cookies scenario, the probability that a cookie contains chocolate or nuts is:
P(C OR N) = P(C) + P(N) – P(C AND N)
So,
P(C OR N) = 0.36 + 0.12 - 0.08 = 0.40
Therefore, the probability that a cookie does not contain chocolate or nuts is:
P(NEITHER chocolate NOR nuts) = 1 - P(C OR N) = 1 - 0.40 = 0.60