First pear Second pear probability
green (3/7)---------green (2/6) (3/7)*(2/6) = 1/7
---------red (4/6) (3/7) *(4/6) = 2/7
red (4/7)-------------green (3/6) (4/7)*(3/6) = 2/7
-------------red (3/6) (4/7)*(3/6) = 2/7
-------------------------
1/7 + 2/7 + 2/7 + 2/7 = 1
The probailities that two are green are: 1/7
The probabilities that one is green and the other is red are:2 /7 + 2/7 = 4/7
The probabilities that two are red are: 2/7
If you split a circle in to 4, and color in 3 of the 4 pieces you will find that 3/4 are bigger than 2/3
Answer:
The phase shift:
1 unit to the right and 1 unit up
Step-by-step explanation:
∵ y = 1 + sin2(x - 1)
∴ y = 1 + sin(2x - 2)
∵ y = Sin(Bx - C) + D
∵ The vertical shift is D
∴ The horizontal shift is -C/B
∴ The vertical shift is 1 unit up
∴ The horizontal shift is --2/2 = 1 ⇒ 1 unite to the right
Answer:
see explanation
Step-by-step explanation:
Calculate C by adding corresponding components of A + B
C = ![\left[\begin{array}{ccc}4\\-7.5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%5C%5C-7.5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
+ ![\left[\begin{array}{ccc}-2.5\\5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2.5%5C%5C5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}4-2.5\\-7.5+5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4-2.5%5C%5C-7.5%2B5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}1.5\\-2.5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1.5%5C%5C-2.5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
C) if you multiply it you get w^2 + 7w +11w+77, which is w^2+18w+77
