This Venn diagram shows the makeup of attendees at a college social event sponsored by the French Club. The event is open to all students. There are 25 students at the party who are fluent in French. There are 40 students at the party who are fluent in English. There are 120 students at the party. Use the Venn diagram and given information to find the probability that a student selected at random is fluent in both French and English. Assume the chance of being selected is the same for each student. Express your answer as a percentage rounded to one decimal place.

What is sin 7x/4 ? i need on this urgent trig

Which expression do you get when you eliminate the negative exponents of 4a^2 b^216a^-3 b

(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?