SAT1M1-040506

Front

What is the probability of rolling a specific number on a fair die?

Back

The probability of rolling a specific number on a fair die is given by the formula: \( P = \frac{1}{n} \), where \( n \) is the total number of faces on the die.

Front

If a die has 14 faces, what is the probability of rolling a 2?

Back

The probability of rolling a 2 on a 14-sided die is \( P = \frac{1}{14} \).

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as \( f(x) \).

Front

What does the function g(x) = x^2 + 9 represent?

Back

This function represents a quadratic function where the output is the square of the input plus 9.

Front

How do you find the value of x for which g(x) = 25?

Back

Set the function equal to 25: \( x^2 + 9 = 25 \). Solve for x.

Front

What is the first step to solve the equation x^2 + 9 = 25?

Back

Subtract 9 from both sides: \( x^2 = 16 \).

Front

What is the next step after finding x^2 = 16?

Back

Take the square root of both sides: \( x = \pm 4 \).

Front

What are the possible values of x for g(x) = 25?

Back

The possible values of x are 4 and -4.

Front

What is the definition of probability?

Back

Probability is a measure of the likelihood that an event will occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is the formula for calculating the probability of an event?

Back

The formula is: \( P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \).