Answer:
The new point should be 8,-5.
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.
Answer:
20.922
Step-by-step explanation:
Evaluate ln 7.2 on a calculator; the correct result is 1.974.
Multiply that by 3, obtaining 5.922.
Finally, add 15 to that result: y = 15 + 3 In 7.2 = 20.922
Answer:
x=5
Step-by-step explanation:
First combine like terms
8x-8=4x+12
Move -8 over to the other side, it becomes +8
8x=4x+20
Now subtract 4x from 8x
4x=20
Now divide
20÷4=5
x=5
15) x=31/10
16)x=2
17)x=16/3
18)x=-2
19)2.5 hours
20) 32 hours