In a certain town, the mean price of a chocolate chip cookie is $2.30 and the standard deviation is $0.40 at various bakeries. The mean price of a brownie is $3.50 and the standard deviation is $0.20. Ten tourists came to the town together. They separately went to randomly chosen bakeries, and each person bought one item. Each of the seven tourists bought a chocolate chip cookie, and each of the remaining three bought a brownie. If the prices of individual items are independent and normally distributed, what is the probability that the total amount of money the 10 people spent is at most $28 (roundoff to third decimal place)

Which one is true about the hexagons ?

(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?

What is the value of x in the equation 3x4y65, when y=4?