Convert the polar representation of this complex number into its standard form z=4(cos150+isin150). Answer Choices:
A) (-2, 2√3)
B) (-2√3, 2)
C) (-2√3, -2)
D) (-4, 4√3)

B

Step-by-step explanation:

Using the exact values

cos150° = - cos30° = -

sin150° = sin30° =

Given

z = 4(cos150° + isin150° ) , substitute values

  = 4(- +  i )

  = - 2 + 2i , that is

(- 2, 2 ) → B

3 yellow + 7 green = 10 total marbles.

The probability of picking a certain color is the number of that color over the total quantity.

Picking yellow would be 3 yellow / 10 total = 3/10

Picking green would be 7 green / 10 total = 7/10

To find the probability of doing both multiply the probability of each one by each other:

3/10 x 7/10 = 21/100

The answer would be 21/100