Final Exam Review

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring based on all possible outcomes, calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Front

How can experimental probability be made to align with theoretical probability?

Back

By increasing the sample size of trials or observations.

Front

What is the formula for the area of a regular pentagon?

Back

The area of a regular pentagon can be calculated using the formula: \( A = \frac{1}{4} \sqrt{5(5 + 2\sqrt{5})} s^2 \), where \( s \) is the length of a side.

Front

What is a net in geometry?

Back

A net is a two-dimensional representation of a three-dimensional figure that can be folded to form the figure.

Front

What is the formula for the surface area of a rectangular prism?

Back

The surface area \( A \) of a rectangular prism can be calculated using the formula: \( A = 2lw + 2lh + 2wh \), where \( l \) is length, \( w \) is width, and \( h \) is height.

Front

What does a two-way relative frequency table represent?

Back

A two-way relative frequency table displays the relative frequencies of two categorical variables, showing the proportion of each category in relation to the total.

Front

What is the significance of conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred, often denoted as \( P(A|B) \).

Front

How do you calculate the volume of a cylinder?

Back

The volume \( V \) of a cylinder can be calculated using the formula: \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Front

What is the relationship between diameter and radius?

Back

The diameter of a circle is twice the length of the radius, expressed as \( d = 2r \).

Front

What is the formula for comparing the volumes of two cylinders?

Back

To compare the volumes of two cylinders, use the ratio: \( \frac{V_1}{V_2} = \frac{\pi r_1^2 h_1}{\pi r_2^2 h_2} \).