For this project, you must use the following conversions & formulas for all questions. No conversions can be calculated without using the conversions below: English/U.S. System 12 inches = 1 foot 16 ounces = 1 pound 8 fluid ounces = 1 cup 3 feet = 1 yard 2000 pounds = 1 ton 2 cups = 1 pint 5280 feet = 1 mile 2 pints = 1 quart 4 quarts = 1 gallon Metric System kilo hecto deka (unit) deci centi milli Other Conversions 1 meter ~ 3.28 feet 1 Liter ~ 0.26 gallons 1 kilogram ~ 2.20 pounds 1 cubic centimeter = 1 milliliter Geometry Formulas For all formulas involving 7 , use 7 ~3.14. A = bh V = lwh C = 2TT A = lw V = mr h C = ad A = -bh V = 7Tr h 4 A = mr V = 3 I = Prt A = P(1 + rt) nt A = P 1+ - A = Pert re = (1+ - 1 re = e" - 1 P(1+i) - 1 A = where i = P(i) PMT = where i = 1 - (1+ 2) -nt P(An B) n(An B) P(A | B) = P(B) n (B 2) Below is a picture of the oor plan for your master bedroom. a? ma Master Bedroom 5 we A couple things about the room: - The curved lines at the bottom of the picture represent french doors. There is a hallway on the left that leads to a separate sitting room. and there is no wall there. - The window on the right only covers a portion of the wall (i.e. does not go oor to ceiling) The sliding glass doors at the top also do not cover the entire wall (i.e. does not go oor to ceiling) The ceilings in this room are all 10 feet high. a) You want to put down hard wood floors in your master bedroom. How much hard wood ooring would you need to buy? Amount of hardwood oor = :] Select an answer a . Round your answer to 2 decimal places as needed. b) You also want to put a trim on the bottom of each wall, except in front of the french doors, sliding doors. or hallway. How much trim should you buy? Amount Of trim to buy = [: Select an answer . Round your answer to 2 decimal places as needed. c) You want to paint your new bedroom. How much paintable space is there in the room? We will assume the following: You are painting all walls and the inside of your french doors. You want to paint the ceiling as well. Your windows and sliding doors account for 73 square feet of surface that does not get painted (i.e. you will be painting above your sliding doors and above/below your window) Amount of paintable space = :] Select an answer . Round your answer to 2 decimal places as needed. d) How many gallons of paint would you need to buy? We will assume the following: The builder already put primer on all the paintable surfaces. - One gallon of paint covers 350 square feet. You want to put on two coats of paint on every paintable surface. Amount of paint needed = [: gallons. Round your answer to 2 decimal places as needed. Note: Paint is obviously not bought in hundredths of gallons, but we are still going to answer accordingly! 5) You conduct another survey of 88 residents about whether they want trash pickup, recycling pickup. or basic cable as part of their HOA fees. The following data was collected: 53 residents want trash pickup. 53 residents want recycling pickup. 38 residents want cable. 35 residents want both trash pickup and recycling pickup. 24 residents want both trash pickup and cable. 22 residents want both recycling pickup and cable. 17 residents want all three. a) Fill in the following Venn Diagram with the cardinality of each region. trash pickup recclin . pickup b) What is the probability that a randomly chosen resident would want none of the services as part of their HOA fees? C] Round your answer to 2 decimal places as needed. c) What is the probability_that a randomly chosen resident would want trash pickup, but not cable as part of their HOA fees?? [3 Round your answer to 2 decimal places as needed