few_shots: Example:
Problem/activity:
Find the general solution for:
$${\mathrm{cos}\left({\pi\over2}+x\right)=\mathrm{tan}{\pi\over4}}$$


Mathematical concept/skill options: 
A. Prove and apply trigonometric identities.
B. Model periodic phenomena with trigonometric functions.
C. Interpret functions that arise in applications in terms of the context.
D. Build a function that models a relationship between two quantities.
E. Define, evaluate, and compare functions.
F. Use functions to model relationships between quantities.
G. Understand the concept of a function and use function notation.
H. Analyze functions using different representations.
I. Extend the domain of trigonometric functions using the unit circle.
J. Interpret expressions for functions in terms of the situation they model.
K. Build new functions from existing functions.
L. Construct and compare linear and exponential models and solve problems.


Your response, in json format:
{
  "explanation": "This problem applies trigonometric identities, including the angle addition formula for cosine.",
  "answer": "A"
}

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_001894

HS
options: Interpret linear models.

Develop understanding of statistical variability.

Draw informal comparative inferences about two populations.

Summarize, represent, and interpret data on a single count or measurement variable.

Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

Summarize and describe distributions.

Understand and evaluate random processes underlying statistical experiments.

Calculate expected values and use them to solve problems.

Use random sampling to draw inferences about a population.

Understand independence and conditional probability and use them to interpret data.

Investigate patterns of association in bivariate data.

Use the rules of probability to compute probabilities of compound events in a uniform probability model.

Summarize, represent, and interpret data on two categorical and quantitative variables.

Investigate chance processes and develop, use, and evaluate probability models.

Use probability to evaluate outcomes of decisions.
problem_activity: Problem 1
Which tree diagram corresponds with which table? How do you know?
[IMG]
Problem 2
In a certain population, 30% of people get a particular disease. A test was developed to determine if any given person has the disease, but it isn’t perfect.
The test has a 90% chance of accurately predicting that someone has a disease, BUT it also has a 5% chance of predicting someone has this disease who doesn’t.
Below are two models you can use to visualize this situation.
[IMG]
Using the information from the problem, write in the number of people in a random sample of 2,000 who take the test for the disease and get results that are true positive, false positive, true negative, and false negative.


correct_option_index: 9