Asurvey was conducted on a random sample of students at a college campus to study student opinions on the new honors program. out of the students surveyed, 78% rated the new honors program as "very rigorous" with a margin of error of ±3% and a confidence interval of 90%. what does the margin of error imply? 1. it can be concluded, with 90% confidence, that at least 75% of all students will rate the new honors program as "very rigorous." 2. it can be concluded, with 78% confidence, that at least 87% of all students will rate the new honors program as "very rigorous." 3. it can be concluded, with 78% confidence, that between 87% and 93% of all students will rate the new honors program as "very rigorous." 4. it can be concluded, with 90% confidence, that between 75% and 81% of all students will rate the new honors program as "very rigorous."

Use the discriminant to describe the roots of each equation. then select the best description. 2m2 + 3 = m double root real and rational roots real and irrational roots non-real roots

Design an er diagram for keeping track of information about votes taken in the u. s. house of representatives during the current two-year congressional session. the database needs to keep track of each u. s. state's name (e. g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i. e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information:

How many heads would you expect if you flipped a coin twice? first, fill in the table below with the correct probabilities. hint: the sample space for flipping a coin twice is {hh, ht, th, tt}. a = b = c =