NC Math 4 Final Exam - v2

Front

What is the Law of Sines?

Back

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant for all three sides: Sin(A)/a = Sin(B)/b = Sin(C)/c.

Front

What percentage of data falls within three standard deviations in a normal distribution?

Back

99.7% of data points fall within three standard deviations of the mean in a normal distribution.

Front

In the context of the unit circle, what does y = cos(x) represent?

Back

y = cos(x) represents the x-coordinate of a point on the unit circle, where x is the angle in radians.

Front

What is the result of multiplying matrix B by matrix A if B = [[47, 30],[9, 5]] and A is compatible?

Back

The result of B x A is [[47, 30],[9, 5]].

Front

How do you determine the measure of angle A in a triangle?

Back

To determine the measure of angle A, you can use the Law of Sines or the Law of Cosines, depending on the information given.

Front

What is the formula for the area of a triangle using the Law of Sines?

Back

Area = (1/2) * a * b * sin(C), where a and b are sides of the triangle and C is the included angle.

Front

What is the definition of a normal distribution?

Back

A normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Front

What does the term 'standard deviation' refer to in statistics?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values.

Front

What is the relationship between sine and cosine in a right triangle?

Back

In a right triangle, sine is the ratio of the length of the opposite side to the hypotenuse, while cosine is the ratio of the length of the adjacent side to the hypotenuse.

Front

What is the Pythagorean identity involving sine and cosine?

Back

The Pythagorean identity states that sin²(x) + cos²(x) = 1 for any angle x.