If a = { x ∈ r | | x | ≤ 1 } and the relation r is defined as a, b ∈ r if and only if a2 ≤ | b | and b2 ≤ | a | then which of the following properties is true?
a. antisymmetric
b. transitive
c. reflexive

The track team ran a mile and a quarter during their practice how many kilometers did her team runs?

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?

6. tim is trying to study but hours go by and he doesn't get anything done. what time management advice would tim? work in smaller chunks of time an hour or less whenever you have a few minutes to spare. create flashcards. talk to your instructor right away and make a plan together for how you can get back on track, take scheduled breaks only or allow yourself only 5-10 minute breaks find somewhere quiet like a library or school to study tum off your phone and/or tell others you are busy