1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45. What is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9? The next number in the pattern can be identified by observing the relation between ...

Prime Numbers - Prime numbers are those numbers that have only two factors, i.e., 1 and the number itself. For example, 2, 3, 7, 11, and so on are prime numbers.

Irrational Numbers are all real numbers that cannot be expressed as fractions of integers. Learn more about irrational numbers, the difference between rational and irrational numbers, and …

Examples Using Covariance Formula. Example 1: Find covariance for following data set x = {2,5,6,8,9}, y = {4,3,7,5,6}

The difference of two sets A and B can be defined as the lists of all the elements that are in set A but that are not present in set B. Learn more about the difference of sets along with examples …

The union can be found by just putting all the elements of A and B in one set and removing duplicates. The A union B formula is, A U B = {x : x ∈ A (or) x ∈ B}.

The cardinality of a set is the number of elements in it if it is a finite set. The cardinality of an infinite countable set is denoted by N0 (a symbol called aleph null).

Prove that the following are irrationals: (i) 1/√2 (ii) 7√5 (iii) 6 + √2. Irrational numbers are the set of real numbers that cannot be expressed in the form p/q where p and q are integers(q ≠ 0). 1/√2, …

Probability is all about how likely is an event to happen. For a random experiment with sample space S, the probability of happening of an event A is calculated by the probability formula …

Set builder notation of a set is defining the set by using a math equation/inequality/a statement that describes each element of the set. This is very convenient way of writing sets especially …