Semester 1 Final exam review Math 3

Front

Determine the range of a data set.

Back

The range is the difference between the highest and lowest values in a data set. For example, in the data set 124, 102, 94, 96, the range is 124 - 94 = 30.

Front

Back

Front

How many ways can 18 students win gold, silver, and bronze places on the podium?

Back

The number of ways is calculated using permutations: 18P3 = 18! / (18-3)! = 4896.

Front

Write the logarithm expression as a single logarithm: log₆25 - log₆5.

Back

The expression simplifies to log₆5 using the property log_ab - log_ac = log_a(b/c).

Front

What is the formula for calculating permutations?

Back

The formula for permutations is nPr = n! / (n - r)!, where n is the total number of items and r is the number of items to arrange.

Front

What is the definition of a permutation?

Back

A permutation is an arrangement of items in a specific order. The order matters in permutations.

Front

What is the definition of a combination?

Back

A combination is a selection of items without regard to the order. The order does not matter in combinations.

Front

How do you calculate the mean of a data set?

Back

The mean is calculated by adding all the numbers in the data set and dividing by the total number of values.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that 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: a^2 + b^2 = c^2.