Pearls from a commercial oyster bed are distributed normally in diameter, with an average of 5 mm, and a standard deviation of 0.5 mm. a new section is started and the nutrient mix to the oysters is changed. what is the average size the pearls from the new bed must be so that the company has 95% confidence that the new mix leads to bigger pearls?

What is the value of x in the diagram below?

10 ! a train starts from grand city and travels toward belleville 388 miles away. at the same time, a train starts from belleville and runs at the rate of 47 miles per hour toward grand city. they pass each other 4 hours later. find the rate of the train from grand city.

The sat and act tests use very different grading scales. the sat math scores follow a normal distribution with mean 518 and standard deviation of 118. the act math scores follow a normal distribution with mean 20.7 and standard deviation of 5. suppose regan scores a 754 on the math portion of the sat. how much would her sister veronica need to score on the math portion of the act to meet or beat regan's score?