In order to determine the average price of hotel rooms in atlanta, a
sample of 64 hotels was selected. it was determined that the average price
of the rooms in the sample was $112. the population standard deviation is
known to be $16. use a 0.1 level of significance and determine whether or
not the average room price is significantly different from $108.50.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

Magic realm, inc., has developed a new fantasy board game. the company sold 15,000 games last year at a selling price of $20 per game. fixed expenses associated with the game total $182,000 per year, and variable expenses are $6 per game. production of the game is entrusted to a printing contractor. variable expenses consist mostly of payments to this contractor. required: 1-a. prepare a contribution format income statement for the game last year.1-b. compute the degree of operating leverage.2. management is confident that the company can sell 58,880 games next year (an increase of 12,880 games, or 28%, over last year). given this assumption: a. what is the expected percentage increase in net operating income for next year? b. what is the expected amount of net operating income for next year? (do not prepare an income statement; use the degree of operating leverage to compute your answer.)

The following items could appear on a bank reconciliation: a. outstanding checks, $670. b. deposits in transit, $1,500. c. nsf check from customer, no. 548, for $175. d. bank collection of note receivable of $800, and interest of $80. e. interest earned on bank balance, $20. f. service charge, $10. g. the business credited cash for $200. the correct amount was $2,000. h. the bank incorrectly decreased the business's by $350 for a check written by another business. classify each item as (1) an addition to the book balance, (2) a subtraction from the book balance, (3) an addition to the bank balance, or (4) a subtraction from the bank balance.