Mattel corporation produces a remote-controlled car that requires three aa batteries. the mean life of these batteries in this product is 34 hours. the distribution of the battery lives closely follows the normal probability distribution with a standard deviation of 5.5 hours. as a part of their testing program sony tests samples of 25 batteries.

what can you say about the shape of the distribution of sample mean?

what is the standard error of the distribution of the sample mean? (round your answer to 4 decimal place.)

what proportion of the samples will have a mean useful life of more than 36 hours? (round your answer to 4 decimal place.)

what proportion of the sample will have a mean useful life greater than 33.5 hours? (round your answer to 4 decimal place.)

what proportion of the sample will have a mean useful life between 33.5 and 36 hours? (round your answer to 4 decimal place.)

The letters g e o r g i a are placed in a bag . if you picked a card and knew it was a vowel , what is the probability that it is an a ?

(i really need ) read the story problem, and then answer the questions that follow. gordon works for a graphic design firm and is creating a label for a food truck vendor. the vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. to complete his label, gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches. part a: find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work. part b: find the measure of the angle formed between the base of the cone and a line segment that represents the slant height. part c: imagine two line segments where each represents a slant height of the cone. the segments are on opposite sides of the cone and meet at the apex. find the measurement of the angle formed between the line segments.

Mrs. robinson bought a novel at a bookstore on sale for 20% off its regular price of $29.99. mr chang bought the same novel at a different bookstore for 10% off its regular price of $25. which person received the better discount?