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Flura [38]
3 years ago
7

A bag contains 5 white marbles and 5 blue marbles. You randomly select one marble from the bag and put it back. Then, you random

ly select another marble from the bag. Which calculation proves that randomly selecting a white marble the first time and a blue marble the second time are two independent events?
Mathematics
2 answers:
kolezko [41]3 years ago
4 0

P(A and B) =

1

2

·

1

2

Two events A and B are independent if the probability of A and B occurring together is the product of their probabilities,

P(A and B) =

1

2

·

1

2

P(red, blue) =

1

2

·

1

2

1

4

=

1

2

·

1

2

Schach [20]3 years ago
3 0

1/5 this shows that each can be picked up at Least 1/5 or 2/10

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dolphi86 [110]

Answer:

x³ - 8x² - 11x + 148

Step-by-step explanation:

Given that x = 6 + i is a root then x = 6 - i is also a root

Complex roots occur as conjugate pairs.

The factors are therefore (x - (6 + i)) and(x - (6 - i))

Given x = - 4 is a root then (x + 4) is a factor

The polynomial is the product of the factors, that is

p(x) = (x + 4)(x - (6 + i))(x - (6 - i))

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      = (x + 4)((x - 6)² - i²)

      = (x + 4)(x² - 12x + 36 + 1)

      = (x + 4)(x² - 12x + 37) ← distribute

      = x³ + 4x² - 12x² - 48x + 37x + 148

      = x³ - 8x² - 11x + 148

 

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