NC Math 3 Review 3

Front

What is the Law of Large Numbers in statistics?

Back

The Law of Large Numbers states that as the size of a sample increases, the sample mean will get closer to the population mean.

Front

Define a polynomial function.

Back

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Front

What is the minimum degree of a polynomial with roots at x=±1 and x=2i?

Back

The minimum degree is 4, as complex roots occur in conjugate pairs.

Front

How do you convert arc length to radians?

Back

The radian measure of a central angle can be found using the formula: radians = arc length / radius.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is equidistant from the vertices.

Front

What three-dimensional figure is formed by rotating a quarter circle about the y-axis?

Back

Rotating a quarter circle about the y-axis generates a hemisphere.

Front

What is the formula for the area of a circle?

Back

The area of a circle is given by the formula: A = πr², where r is the radius.

Front

Define the centroid of a triangle.

Back

The centroid is the point where the three medians of a triangle intersect, and it is the center of mass.

Front

What is the relationship between the diameter and radius of a circle?

Back

The diameter is twice the radius: D = 2r.

Front

What is a sample distribution?

Back

A sample distribution is the distribution of a statistic (like the mean) calculated from a sample of data.