How will adding the value 20 affect the mean and median of the data set 40, 50, 60, 60, 80, 100?
a. mean and median will decrease
b. mean will decrease, but median will stay the same
c. mean will decrease, but median will increase
d. both mean and median will stay the same
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Tatiana wants to give friendship bracelets to her 32 classmates. she already has 5 bracelets, and she can buy more bracelets in packages of 4. write an inequality to determine the number of packages, p, tatiana could buy to have enough bracelets.

Two researchers are attempting to create a new psychotherapy protocol that more reduces panic attacks. they believe that they have succeeded and are now in the clinical trial period of their protocol's development. they are working with several cohort groups, some of which have been through the new protocol, while others have done the standard protocol currently recommended. if these researchers are interested in evaluating the difference in the percentage of test subjects who successfully decreased their panic attacks in 2 months on the new protocol versus the percentage of test subjects who successfully decreased their panic attacks in 2 months with the traditional protocol, which of the following statistical tests would be most appropriate? a. analysis of variance (anova) b. correlation c. chi-square test d. paired t-test e. independent t-test

Let d be the domain and let ƒ be the possible function. determine if the relation is an example of a function. d = {x| x is a date, expressed in day/month/year} ƒ(x) = temperature in seattle washington on that date