Resource X is necessary to the production of good Y. If the price of resource X falls, the equilibrium price of Y will and the equilibrium quantity of Y will .

Allie and sarah decided that they want to purchase renters insurance for the apartment they share. they made a list of all of the items to be covered by the insurance policy, along with their estimated values. if the items to be covered total more than $3000, the insurance company charges an annual premium of 23% of the total value of the items. if the items to be covered total $3000 or less, the insurance company charges an annual premium of 20% of the total value of the items.

The wall street journal reported that walmart stores inc. is planning to lay off 2,300 employees at its sam's club warehouse unit. approximately half of the layoffs will be hourly employees (the wall street journal, january 25-26, 2014). suppose the following data represent the percentage of hourly employees laid off for 15 sam's club stores. 55 56 44 43 44 56 60 62 57 45 36 38 50 69 65 (a) compute the mean and median percentage of hourly employees being laid off at these stores. (b) compute the first and third quartiles. (c) compute the range and interquartile range. (d) compute the variance and standard deviation. (e) do the data contain any outliers? (f) based on the sample data, does it appear that walmart is meeting its goal for reducing the number of hourly employees?

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.