Circle a with center at (3, 4) and radius 2 is similar to circle b with center at (−4, −5) and radius 3. below is an incorrect informal argument for proving two circles are similar: step 1 translate circle b to the right 9 units and up 7 units to form concentric circles. step 2 dilate circle b to be congruent to circle a using scale factor of k = r sub two over r sub one equals two over three step 3 when an object is dilated, the dilated object is similar to the pre-image, thus the two circles are similar. what is the first incorrect step, and how can it be fixed? a. all steps are correct b. step 1, translate circle b to the right 7 units and up 9 units c. step 2, use scale factor of k = r sub two over r sub one equals three over two d. step 3, replace dilated with translated

(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?