G ( x ) = 4 x + 1 ( spots → stars )
h ( x ) = x² - 2 ( stars → asteroids )
Composite function:
h ( g ( x ) ) = ( 4 x + 1 )² - 2 =
= 16 x² + 8 x + 1 - 2 =
= 16 x² + 8 x - 1 ( spots → asteroids )
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➷ First calculate how many counters are 'not white'
12 - 7 = 5
We have 5 counters that are 'not white'
The probability of taking a white counter the first time is 7/12
For the next pick, there would be 1 less of the total counters as it is not being replaced
The probability of then taking a 'not white' counter is 5/11
The other way you could still get one white counter is:
The first counter (non white) probability would be 5/12
The second counter (white) probability would be 7/11
Multiply these values:
7/12 x 5/11 = 35/132
5/12 x 7/11 = 35/132
Add these two values together:
35/132 + 35/132 = 70/132
Your answer is 70/132
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➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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Add common -2x+-5x=-7x+8
-7x+8
