Write the following expression as a function of a positive acute angle.

sin 312

-sin48°
sin48°
-sin132°

write the following expression as a function of a positive acute angle.

tan 170

tan10°
-tan10°
tan(-10)°

write the following expression as a function of a positive acute angle.

tan 245

tan65°
-tan65°
tan115°

write the following expression as a function of a positive acute angle.

csc 190

-csc10°
csc10°
-csc70°

write the following expression as a function of a positive acute angle.

sin 200

sin20°
-sin20°
sin60°

write the following expression as a function of a positive acute angle.

cos 125

cos55°
-cos55°
cos(-55)°

write the following expression as a function of a positive acute angle.

cos 215

cos35°
-cos35°
cos395°

write the following expression as a function of a positive acute angle.

sec 280

-sec80°
sec80°
sec(-80)°

write the following expression as a function of a positive acute angle.

tan 205

tan25°
tan55°
-tan25°

write the following expression as a function of a positive acute angle.

tan 105

tan65°
tan75°
-tan75°

In a study of the relationship between socio-economic class and unethical behavior, 129 university of california undergraduates at berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. they were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. after completing some unrelated tasks, participants reported the number of candies they had taken. it was found that those who were identiď¬ed as upper-class took more candy than others. in this study, identify: (a) the cases, (b) the variables and their types, (c) the main research question, (d) identify the population of interest and the sample in this study, and (e) comment on whether or not the results of the study can be generalized to the population, and if the ď¬ndings of the study can be used to establish causal relationships.

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)

4. bob solved the inequality problem below incorrectly. explain his error and redo the problem showing the correct answer. ? 2x + 5 < 17 ? 2x + 5-5 < 17-5 -2x/-2 < 12/-2 x < -6