Young millennials, adults aged 18 to 34, are viewed as the future of the restaurant industry. during 2011, this group consumed a mean of 192 restaurant meals per person (npd group website, november 7, 2012). conduct a hypothesis test to determine whether the poor economy has caused a change in the frequency of consuming restaurant meals by young millennials in 2012. formulate hypotheses that can be used to determine whether the annual mean number of restaurant meals per person has changed for young millennials in 2012. answer based on a sample, the npd group stated that the mean number of restaurant meals consumed by young millennials in 2012 was 182. assume the sample size was 150 and that, based on past studies, the population standard deviation can be assumed to be . use the sample results to compute the test statistic and p-value for your hypothesis test.

Apool measures 12.3 feet by 16.6 feet. if the longer wall of the pool has a diagonal of 17.8 feet, what is the volume of the pool? (round to nearest tenth)

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )

Given the quadratic function f(x)=3x^2-24x+49 a. use “completing the squares” to convert the quadratic function into vertex form b. state the vertex c. find the x and y intercepts d. graph the function