A hotel survey showed that nearly 30% of the guests staying at the hotel were there for personal reasons. The remainder of the guests were at the hotel on business. Use the table of randomly generated letters to answer the questions about this scenario. The letter P represents personal reasons, and B represents business reasons. BBB PBB BPB PPB BBP BBP PBB PPB PBB BBP BBP BPB BBB BBB BBB PPB BPB PBP BPB BBP BPB PBP PPB PBB BBB Based on this data, the estimated probability that exactly two of the three guests randomly picked were not there for personal reasons is . The estimated probability that it takes at least four guests to find one who is staying for personal reasons is

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Solve for x. −3/4(x+2)=6 enter your answer in the box

Write the equation of a line that is perpendicular to the given line and that passes through the given point. –3x – 6y = 17; (6, 3) y = x – 9 y = 2x – 9 y = –2x – 9 y = x + 0 3. is the relationship shown by the data linear? if so, model the data with an equation. x y 1 5 5 10 9 15 13 20 the relationship is linear; y – 5 = (x – 1). the relationship is not linear. the relationship is linear; y – 5 = (x – 1). the relationship is linear; y – 1 = (x – 5). write an equation in point-slope form for the line through the given point with the given slope. (–10, –1); m = y + 10 = (x + 1) y – 1 = (x – 10) y – 1 = (x + 10) y + 1 = (x + 10) 5. write an equation for each translation of . 6.5 units up y + 6.5 = | x | y = | 6.5 x | y = | x | + 6.5 y = | x | – 6.5 6. write an equation for each translation of . 5.5 units right y = | x | + 5.5 y = | x – 5.5 | y = | x | – 5.5 y = | x + 5.5 | 7. which equation translates y = | x | by 8 units to the left? y = | x | – 8 y = | x | + 8 y = | x – 8| y = | x + 8|