Some psychologists are conducting research with an extraversion inventory, for which, by design, the scores are normally distributed in the general population, with mean 50 and standard deviation 10. What is the probability that the mean extraversion score from a sample of 25 people will be greater than 51?

What is the probability that the mean extraversion score from a sample of 100 people will fall further from the mean (i. e., further out into the tails) than either 49 OR 51 (i. e., add the two areas)?

What could explain what happened when the time was equal to 120 minutes

Ineed with angles and the measure of them i have abc a is 65 and b is (3x-10) and c is (2x) find the value of x

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 > ?