If the magnitude of vector z is ||z|| ≈ 6.40 and its angle of direction is approximately 38.66°, which graph represents vector -z?

graph C represents - z

z = (6.40, 38.66°) which is in the first quadrant

- z is in the opposite direction to z and in fourth quadrant.

Both graphs, however, are in the fourth quadrant

consider the magnitudes of both complex numbers to determine which graph is the correct one

Graph C has endpoint at (- 5, - 4 ), hence

magnitude = √((- 5)² + (- 4)²) = √(25 + 16) = √41 ≈ 6.4

Graph D has endpoints (- 3, - 6), hence

magnitude = √((- 3)² + (- 6)²) = √(9 + 36) = √45 ≈ 6.7

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

answer is x<