What is the smallest prime number that is the sum of two other prime numbers?
A jar contains 5 red balls and 3 blue balls. If two balls are selected at random, what is the probability that they are the same color?
If f(x) = x^3 - 2x + 1 and g(x) = x^2 + 1, find the composite function f(g(x)).
If the product of three consecutive integers is 616, what are the integers?
What is the probability of rolling two six-sided dice and getting a sum of 7 or 11?
A jar contains 5 red balls and 3 blue balls. If two balls are selected at random, what is the probability that they are the same color?
If f(x) = x^3 - 2x + 1 and g(x) = x^2 + 1, find the composite function f(g(x)).
If the product of three consecutive integers is 616, what are the integers?
What is the probability of rolling two six-sided dice and getting a sum of 7 or 11?
Answers & Comments
Answer:
1. The smallest prime number that is the sum of two primes is 5. 5 = 2 + 3, and both 2 and 3 are primes. Note that if a number is the sum of two primes and is also prime, one of the numbers forming the sum must be 2; because 2 is the only even prime number. All other prime numbers are odd.