p is less than 12.
9-p
p-4
Angle q will be less than 90 degrees because a right angle is 90 degrees and the 3 angles in a triangle add up to 180 degrees.
Combination Formula ProofGENERIC:Let C(n,r) be the number of ways to generate unordered combinationsThe number of ordered combinations (i.e. r-permutations) is P(n,r)The number of ways to order a single one of those r-permutations P(r,r)The total number of unordered combinations is the total number of ordered combinations (i.e. r-permutations) divided by the number of ways to order each combinationThus, C(n,r) = P(n,r)/P(r,r) = [n!/(n-r)!]/r!/(r-r)!] = n!/r!(n(n-r)!SPECIFIC:Let C(52,5) be the number of ways to generate unordered poker handsThe number of ordered poker hands is P(52,5) = 311,875,200The number of ways to order a single poker hand is P(5,5) = 5! = 120The total number of unordered poker hands is the total number of ordered hands divided by the number of ways to order each handThus, C(52,5) = P(52,5)/P(5,5)
p^2-3
5/p - 10.
22
4p - 9 > 15
17
p-2
Expressed algebraically, this is equal to 22p - 8.
p-6
p-15
3(n-9)
p(a) = 1/3, p(b) = 1/2, p(a and b) = p(a)*p(b) = 1/6
Comparative operators are used to compare the logical value of one object with another and thus establish the rank (ordering) of those objects. There are six comparative operators in total: p<q : evaluates true when p is less than q p>q : evaluates true when p is greater than q p<=q : evaluates true when p is less than or equal to q p>=q : evaluates true when p is greater than or equal to q p!=q : evaluates true when p is not equal to q p==q : evaluates true when p is equal to q