A circle current loop with 20 cm radius carries a [I] A curr…

A circle current loop with 20 cm radius carries a [I] A current. The loop is in a [B] T uniform magnetic field. The axis of the loop, perpendicular to the plane of the loop, is 60 degrees away from the field direction. What is the magnitude of the torque on the current loop?

The manager of a large company is interested in the commute…

The manager of a large company is interested in the commute times of her employees. She randomly selects 40 employees and finds an average commute time of 27 minutes, with a standard deviation of 4 minutes. (When needed, round to 3 decimals.)   a. What is the point estimate of the population mean commute time? [a] b. Construct a 95% confidence interval for the population mean commute time for this company’s employees (input your interval as “(a, b)”, where a is the lower limit and b is the upper limit of the interval) [b] c. Interpret the interval from part a (write out a sentence and be specific): We are 95% confident that [c]

The weight of mechanically produced items at a manufacturing…

The weight of mechanically produced items at a manufacturing facility are normally distributed, with a mean of 1152 pounds and a standard deviation of 23 pounds. (Round z-scores to 2 decimal places and all else to 3 decimal places.)   a. What is the Z-score for an item weighing 1146 pounds? [a] b. Find the probability that a randomly selected item weighs less than 1146 pounds. [b] c. Find the weight that represents the 57th percentile. [c] d. Find the probability that a randomly selected item weights between 1100 pounds and 1146 pounds. [d]