4-6. simplify the expressions below. homework ✎ a. 8 − 13 − (−4) b. 4 − (−7) + (−2) c. −7 + 3 − 20 4-7. copy each expression and simplify it. show all of your steps. homework ✎ a. 1.234 + 0.58 + 5.316 b. 6.1 − 1.536 c. 4.8(0.6) 4-8. tina's rectangular living-room floor measures 15 feet by 18 feet. homework ✎ a. how many square feet of carpet will tina need to cover the entire floor? b. the carpet tina likes is sold by the square yard. how many square yards will she need? (1 yard = 3 feet)

Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. surfaces: xsquared2plus+2yplus+2zequals=1212 yequals=33 point: left parenthesis 1 comma 3 comma five halves right parenthesis

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?

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.)