1.Recent studies have investigated the relationship between gender and career advancement. The following data represent a random sample of mathematicians classified by gender and academic rank. Using the following data, test for a relationship between gender and academic rank. a. State the null and alternative hypotheses (2 pts). b. Calculate the test statistic and determine the critical value (10 pts) c. Determine whether your results are significant – indicate how you know (2 pts) d. State your conclusions in one or two sentences. (2 pts) Academic Rank InstructorAssistant ProfessorAssociate ProfessorFull ProfessorTotal Female121518752 Male2125302298 Total33404829150 g

Afarm that has 4 x 10^2 acres has 1.2 x 10^5 cattle. what is the average number of cattle per acre? write the answer in scientific notation. answere asap

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d. what is the height of the tide after 93 hours?

What additional information is needed to prove that the triangles are congruent using the aas congruence theorem? o lolm o oama o zloa zlma o zlao – zlam