Afarmer grows a particular plant that has a gene that can be manipulated to control the age t at which the plant matures. the number of seeds s(t) produced by a plant maturing at age t is s(t)=−0.3t2+30t+0.2 seeds per mature plant a farmer asks the geneticists to genetically engineer a plant line that accounts for the fact that on his farm, only p(t)=9t+100, plants mature to age t. what age of maturity should the geneticist select for the plants to maximize the seed production of the farmer's crop? a. between 130 and 140 days b. between 120 and 130 days

One of every 20 customers reports poor customer service on your company’s customer satisfaction survey. you have just created a new process that should cut the number of poor customer service complaints in half. what percentage of customers would you expect to report poor service after this process is implemented? 1.) 5% 2.) 10% 3.) 2% 4.) 2.5%

(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?

Solve for b. ab + c= d b= a + old ob=allc-ch b= (d-c/a