NC Math 4 Final Exam - v2

Front

Simplify the expression: 3i(4 - i) + i(6 + 2i)

Back

1 + 18i

Front

What is log₅25?

Back

2

Front

Add the following matrices: [[11, 8], [-4, 2]] and [[3, 2], [-6, -6]]

Back

[[11, 8], [-4, 2]]

Front

Multiply the following matrices: [[20, 15, -10], [30, -5, 0]] and [[-20, 15, -10], [30, -5, 0]]

Back

[-20, 15, -10], [30, -5, 0]

Front

According to the 68-95-99.7 rule, what percentage of data falls within two standard deviations of the mean?

Back

95%

Front

What is the definition of a complex number?

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is the formula for the quadratic equation?

Back

The quadratic equation is given by ax² + bx + c = 0.

Front

What does the term 'mean' refer to in statistics?

Back

The mean is the average of a set of numbers, calculated by dividing the sum of the numbers by the count of numbers.

Front

What is the definition of a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.