NC Math 3 EOC Questions

Front

What is the mean in statistics?

Back

The mean is the average of a set of numbers, calculated by adding all the values together and dividing by the number of values.

Tags

CCSS.6.SP.B.5C

Front

What does standard deviation measure?

Back

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

Front

How do you find the proportion of data below a certain value in a normal distribution?

Back

You can use the z-score formula to find the proportion of data below a certain value. The z-score is calculated as (X - mean) / standard deviation, and then you can refer to a z-table or use a calculator to find the corresponding proportion.

Tags

CCSS.HSS.ID.A.4

Front

What is a tangent line to a circle?

Back

A tangent line to a circle is a straight line that touches the circle at exactly one point and is perpendicular to the radius at that point.

Front

What is the formula for a linear function?

Back

The formula for a linear function is typically written as f(x) = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What happens to the graph of a function when it is stretched vertically?

Back

When a function is stretched vertically by a factor of k, the new function is represented as g(x) = k * f(x), which increases the distance of the points from the x-axis.

Front

What is the sine function and how is it used in modeling periodic phenomena?

Back

The sine function is a mathematical function that describes a smooth periodic oscillation. It is often used to model phenomena that repeat over time, such as temperature changes throughout the day.

Front

What is the amplitude of a sine function?

Back

The amplitude of a sine function is the maximum distance from the midline of the wave to its peak or trough. It determines how high or low the wave oscillates.

Tags

CCSS.HSF-IF.C.7E

Front

How do you determine the period of a sine function?

Back

The period of a sine function is the distance (or time) it takes for the function to complete one full cycle. It can be calculated as 2π divided by the coefficient of x in the function.

Tags

CCSS.HSF.TF.A.4

Front

What is the relationship between angles and arcs in a circle?

Back

The measure of an angle in a circle is related to the length of the arc it subtends. The larger the angle, the longer the arc.

Tags

CCSS.HSG.C.B.5