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AMDM Analyzing Numerical Data Review Name: _KEY______________________________________ Date: _____________________________ 1. According to Social Security Number Verification Service since 1973 social security numbers have been assigned using the following method. The first three digits are determined by the ZIP Code of the mailing address shown on the application for the Social Security number and the rest have restrictions against the middle two (group #) being 00 and the last four (serial #) being 0000. In Texas, the SSN may begin with 449 – 467 or 627 - 645. On June 25, 2011, Social Security changed the process to SSN Randomization to better protect the identity of each individual. Using this information, how many SSN’s may be assigned in Texas? According to the US Census Bureau the population of Texas in 2009 was 24,782,302; will we run out of numbers? ABC = 449-467 or 627-645 = 38 #s DE-10 #s for each FGHI-10 #s for each 38*10*10*10*10*10*10 with no restrictions =38,000,000 minus If the two middle numbers cannot be 00: 38*1*1*10*10*10*10=380,000 And the last four numbers cannot all be zero: 38*10*10*1*1*1*1=3800 38,000,000-380,000-3800=37,616,200 Or first two numbers =38, middle two numbers =99 numbers, last four #s = 9999 38*99*9999=37,616,200 2. All 5-digit zip codes in the United States are assigned by region. In Texas, all zip codes begin with the number 7 while the second digit is restricted to numbers from 5 to 9. There is no restriction on the remaining digits. How many zip code combinations are possible in Texas? 1 * 5 * 10 * 10 * 10 = 5,000 3. Using your knowledge of aspect ratios, find the difference between the actual screen size or area of an older style TV with an aspect ratio of 4:3 and a newer TV with an aspect ratio of 16:9 assuming both TV’s have a measurement of 52 inches. Which TV actually has more screen area? (show all work and justify your answer) 3 : 4 : 5 31.2 : 41.6 : 52 9 : 16 : 18.358 25.497 : 45.328 : 52 2 A = 1,297.92 in. A = 1,155.73 in.2 4. Your grandmother has an old standard (4:3) 32-inch tv. While watching a wide aspect ratio (16:9 image) version of a movie on her old tv, she noticed how small the viewing area looked. What were the dimensions of the movie displayed on her tv? 14.4 25.6 25.6 19.2 AMDM Analyzing Numerical Data Review 5. Use the following grading scale to figure out what you need on your final to get an A (≥ 89.5) in the class. Grading System Test Average – 50% Final Exam Grade – 20% Homework – 20% Class Participation – 10% Your grades: Test Average: 87, Homework: 92, Participation: 90 87(.5) + 92(.2) + 90(.1) + x(.2) ≥ 89.5 x ≥ 93 6. Bob worked for 15 consecutive days, earning an average wage of $ 90 per day. During the first 7 days, his average wage was $ 87/day, and his average wage during the last 7 days was $ 92 /day. What was his wage on the 8th day? (87 * 7 + x + 92 * 7) / 15 = 90 x = 97 7. Determine the check digit (d) for the UPC number 02467936163d. 3 (0 + 4 + 7 + 3 + 1 + 3) + (2 + 6 + 9 + 6 + 6 + d) 54 + 29 + d d=2 8. Consider the following Fermi question. Make a rough estimate, and justify your estimate. List any assumptions that you make. “How many golf balls can fit into a suitcase?” Ball: V = 4/3 Π r3 = 4/3 Π (1.4 in)3 = 11.494 in.3 Suitcase is 22 in. x 14 in. x 9 in. = 2,772 in.3 2,772 in.3 / 11.494 in.3 ≈ 241 9. One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use this rule to estimate the size of the crowd watching a parade along a 2mile section that is 5 feet deep on both sides of the street. 1 x 2 2.5 ft. 105, 600 ft.2 x 42, 240 people 10. A 2 cm cube holds 468 grains of rice. How many grains of rice would fit in a box with dimensions 6 cm x 2 cm x 12 cm? 468 grains x 3 8 cm. 144 cm.3 x 8, 424 grains