We wish to estimate the average number of heartbeats per minute for a certain population. The average number of heartbeats for a sample of 49 subjects was found to be 90. Assume that these 49 patients constitute a random sample, and that the population is normally distributied with a standard deviation of 10. Construct a 90%, 95% and 99% confidence interval for the population mean, and state the practical and probabilistic interpretations of each.

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.

The legs of a right triangle measure 6 meters and 8 meters. what is the length of the hypotonuse.

If log_3(x)=4.5 and log_3(y)=3, what is log_3(x^2/y)? a. 3b. 6.75c. 6d. 1.5