James believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. he asked 500 students at his school the following questions: "are you on the honor roll? " and "did you get the math class you requested? " the results are shown in the table below: honor roll not on honor roll total received math class requested 315 64 379 did not get math class requested 41 80 121 total 356 144 500 james determine if all students at his school have an equal opportunity to get the math class they requested. show your work and explain your process for determining the fairness of the class assignment process.

Ihave this math question 2/3 ÷2 1/10=

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)