From the sample space sequals={1, 2, 3, 15} a single number is to be selected at random. given event a, that the selected number is even, and event c, that the selected number is a prime number, find p(upper c vertial line upper ac∣a).

In the following situation, determine whether you are asked to determine the number of permutations or combinations. then do the calculation how many ways are there to pick a starting five from a basketball team of twelve members? a. permutation; ps - 2520 b. combination; 1c, - 792 c. combination: 2cs - 2520 d. permutation; ps - 95040

If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1,find(f+g)(x)

Pepe and leo deposits money into their savings account at the end of the month the table shows the account balances. if there pattern of savings continue and neither earns interest nor withdraw any of the money , how will the balance compare after a very long time ?