Alison is playing a video game. at the end of each level, the player is given either a bag of gold or a magic wand.
alison says that the probability of getting a bag of gold is 30%. to test this, she plays the game 50 times and calculates the relative frequency of each outcome.
outcome bag of gold magic wand
relative frequency 0.32 0.68
select from the drop-down menus to correctly complete each statement.
the relative frequency of getting a bag of gold is 30%
alison's claim about the theoretical probability is likely to be
further, this means that the theoretical probability of getting a magic wand is most likely
1 reasonably close to or very different from
2 true or false
3 0.30 or 0.60 or 0.70

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?