The root
can be converted into the power
. Therefore we can rewrite the problem as
and then follow the exponent rules about a power to a power, multiplying 1/2 and 3/4 together.
Thus the problem becomes
, which then can be turned into
![\sqrt[8]{10} ^{3x}](https://tex.z-dn.net/?f=%20%5Csqrt%5B8%5D%7B10%7D%20%5E%7B3x%7D)
, making the last option our answer.
slope intercept form is y=mx+b
To find this from standard form you need to remove x to the other side. To do this you need to add 5x to both sides. You will end up with 3y=5x+6. To yet the y by itself you need to divide everything in the equation by 3. You would end up with y=5/3x +2 which is the equation in slope intercept form
Answer:
um we need the photo sry
Step-by-step explanation:
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.
