Praxis Algebra I 5162 Domain 3: Number and Quantity; Probability and Statistics

If \( x \) is inversely proportional to \( y \), and \( y = 2 \) when \( x = 3 \), what is the value of \( y \) when \( x = 6 \)?

Find the standard deviation of the data set: 3, 7, 7, 9, 11.

What is the probability of drawing a red card or a queen from a standard deck of 52 playing cards?

If \( f(x) = 2x^2 + 3x - 5 \), find \( f(-3) \).

What is the coefficient of variation for a data set with a mean of 20 and a standard deviation of 5?

If the interquartile range of a data set is 12, and the first quartile is 8, what is the third quartile?

What is the equation of the line that passes through the points \( (2, 3) \) and \( (4, -1) \)?

What is the 20th term of the arithmetic sequence where \( a_1 = 3 \) and \( a_2 = 7 \)?

A bag contains 4 red, 3 blue, and 5 green marbles. What is the probability of drawing a blue or green marble?

If the odds in favor of an event are 4 to 1, what is the probability of the event occurring?

The function \( f(x) = \frac{1}{x-2} \) is undefined for what value of \( x \)?

What is the equation of the parabola with focus \( (4, 3) \) and directrix \( y = 1 \)?

If the range of a set of data is 20 and the lowest value is 15, what is the highest value in the set?

A box contains 6 red, 4 blue, and 5 green balls. What is the probability of randomly selecting a red or a green ball?

If \( f(x) = x^3 - 2x + 1 \), find the value of \( f(-2) \).

What is the 15th term of the arithmetic sequence 5, 9, 13, ...?

What is the slope of the line given by the equation \( 2x - 3y = 6 \)?

What is the equation of the circle with center at \( (3, -2) \) and radius 4?

If \( a \) and \( b \) are the roots of the equation \( x^2 - 5x + 6 = 0 \), what is \( a^2 + b^2 \)?

What is the median of the data set 3, 7, 9, 12, 14, 18, 22?