Suppose babies bom in a large hospital have a mean weight of 3524 grams, and a standard deviation of 282 grams. If 84 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by less
than 46 grams? Round your answer to four decimal places.

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

For what value of (y) is 3^3/3^y =1/9

Agroup of randomly selected members of the foodies food club were asked to pick their favorite type of food. the bar graph below shows the results of the survey. there are 244 members in the foodies.