An important insight of international trade theory is that when countries exchange goods and services one with the other, it a. does not benefit both countries, and is typically harmful to the technologically lagging country. b. does not benefit both countries, because it tends to create unemployment in both countries. c. does not benefit both countries, but is typically more beneficial to the low wage trade partner country. d. benefits both countries, and is usually equally beneficial to both countries. e. benefits both countries, and is usually not equally beneficial to both countries.

Luis and rosa, citizens of costa rica, moved to the united states in year 1 where they both lived and worked. in year 3, they provided the total support for their four young children (all under the age of 10). two children lived with luis and rosa in the u.s., one child lived with his aunt in mexico, and one child lived with her grandmother in costa rica. none of the children earned any income. all of the children were citizens of costa rica. the child in mexico was a resident of mexico, and the child in costa rica was a resident of costa rica. how many total exemptions (personal exemptions plus exemptions for dependents) may luis and rosa claim on their year 3 joint income tax return? a. 6 b. 5 c. 4 d. 2

Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below.a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample.assume=0.05. what are the null and alternative hypotheses? choose the correct answer below.b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

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.