Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Front

How do you represent a maximum capacity constraint in inequalities?

Back

You can represent a maximum capacity constraint with an inequality like x + y ≤ maximum_capacity, where x and y are the variables representing quantities.

Front

What does the inequality 7.5x + 5.5y ≥ 2000 represent in a ticket sales context?

Back

This inequality represents the requirement that the total revenue from ticket sales must be at least $2000, where x is the number of adult tickets and y is the number of children's tickets.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the value into the function's equation and simplify.

Front

What does g(8) = 28 mean in the context of the bubble gum problem?

Back

It means that if someone buys 8 packages of bubble gum, the total cost will be $28.

Front

What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation means that the values tend to be close to the mean, while a high standard deviation means that the values are spread out over a wider range.

Front

How do you calculate the standard deviation of a data set?

Back

To calculate the standard deviation, find the mean of the data set, subtract the mean from each data point, square the results, find the average of those squared differences, and then take the square root.

Front

What is the formula for the standard deviation of a sample?

Back

The formula for the standard deviation of a sample is: s = √(Σ(xi - x̄)² / (n - 1)), where xi represents each value, x̄ is the sample mean, and n is the number of values.

Front

What does it mean if a graph is labeled as 'inactive'?

Back

'Inactive' typically means that the graph does not represent any current data or trends and may not be relevant for analysis.

Front

What is the significance of the maximum number of seats in a theater?

Back

The maximum number of seats in a theater represents the total capacity for an event, which is crucial for planning ticket sales and ensuring safety regulations.