Principle: divide the correct possibilities by the total nr. of possibilities to find the probability.
6. P(green) = 5 / (7+5+6) = 5/18
7. P(red) = 6 / 18 = 1/3
8. P(not green) = P(red | blue) = (6+7)/18 = 13/18
9. P(HH) = 5/25 = 1/5
10. P(HT) = 16/25
11. P(NOT TT) = P(HH | HT) = (5+16)/25 = 21/25
12. P(HH | TT) = (5+4)/25 = 9/25
13. P(5) = 1/6. P(H) = 1/2. P(5 & H) = 1/6*1/2 = 1/12. If you draw all the possibilities, you'll find there are 12. One of them is 5 & Heads.
Answer =1:15.
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Answer:
![c(8) =29](https://tex.z-dn.net/?f=c%288%29%20%3D29)
Step-by-step explanation:
![c(n) = -6 + 5(n - 1)](https://tex.z-dn.net/?f=c%28n%29%20%3D%20-6%20%2B%205%28n%20-%201%29)
For 8th term (n=8)
![c(8) = -6 + 5(8 - 1)](https://tex.z-dn.net/?f=c%288%29%20%3D%20-6%20%2B%205%288%20-%201%29)
![c(8) = -6 + 35](https://tex.z-dn.net/?f=c%288%29%20%3D%20-6%20%2B%2035)
![c(8) =29](https://tex.z-dn.net/?f=c%288%29%20%3D29)
Answer:
find the bottom angle of the triangle on the right side.
180 - 92 = 88
Now find x
88+36 = 124
180-124 = <u>56 = x</u>
<u />
Hope that answers your question
Don't hesitate to comment if you are confused about something
Step-by-step explanation:
9514 1404 393
Answer:
(x, y, z) = (1/3, 2/3, 1)
Step-by-step explanation:
We can use the first equation to write an expression for x that can be substituted into the other equations.
x = 1 -y
2(1 -y) -y +z = 1 ⇒ -3y +z = -1
(1 -y) +2y +z = 8/3 ⇒ y +z = 5/3
Subtracting the first of these equations from the second gives ...
(y +z) -(-3y +z) = (5/3) -(-1)
4y = 8/3
y = 2/3
z = 5/3 -y = 1
x = 1 -y = 1/3
The solution is (x, y, z) = (1/3, 2/3, 1).