Hope this helps! As long as you keep posting I’ll keep answering- always happy to help!
Answer:
1. real number, irrational number
2. rational number, real number
Answer:
Graph B represents a function.
Step-by-step explanation:
Graph B is a quadratic function. y = x^2
B
= 6m^4n^6
c
2/x^-4
= 2x^4
e
3^4 w^-8
= 81 w^-8
= 81/w^8
f
m^-3
= 1/m^3
When you have 3 choices for each of 6 spins, the number of possible "words" is
3^6 = 729
The number of permutations of 6 things that are 3 groups of 2 is
6!/(2!×2!×2!) = 720/8 = 90
A) The probability of a word containing two of each of the letters is 90/729 = 10/81
The number of permutations of 6 things from two groups of different sizes is
(2 and 4) : 6!/(2!×4!) = 15
(3 and 3) : 6!/(3!×3!) = 20
(4 and 2) : 15
(5 and 1) : 6
(6 and 0) : 1
B) The number of ways there can be at least 2 "a"s and no "b"s is
15 + 20 + 15 + 6 + 1 = 57
The probability of a word containing at least 2 "a"s and no "b"s is 57/729 = 19/243.
_____
These numbers were verified by listing all possibilities and actually counting the ones that met your requirements.
