1.  
    In 2000, the population of New York City was 8,008,278; the population of Philadelphia was 1,517,550; the population of Baltimore was 651,154; the population of Boston was 589,141; and the population of Washington, D.C. was 572,059.
     
         
     
    The population of the United States was 281,421,906.  What percent of the U.S. population resided in these five (east coast) cities during 2000?

     
  2. New York City was the largest city in the U.S. and Los Angeles was ranked 2nd with a population of 3,694,820 (in 2000).  Chicago had a population of 2,896,016 making it the 3rd largest, Houston was 4th with 1,953,631 and Philadelphia rounded out the top five most populous cities.  What percent of the U.S. population resided in these five largest cities (during 2000)?   Hint:  refer to Exercise #1 (above) for additional info...


     
  3. Albert Pujols plays first-base for the St. Louis Cardinals (baseball team).  In 2003 he had 212 hits out of 591 at-bats, in 2004 he had 196 hits out of 592 at-bats, and in 2005 he had 195 hits out of 591 at-bats.  A player's "Batting Average" (or BA) is determined by the ratio of hits to at-bats, rounded to three decimal places.  What was Albert Pujol's:
     
        a.   2003 BA? b.   2004 BA? c.   2005 BA?
        d.   BA over the three year period 2003-2005?



     
  4. In financial matters, equity is the dollar amount of assets actually owned, while "leverage" is the "ratio of debt to equity."  An investor whose stock portfolio is valued at $525,000 and who has $150,000 in outstanding loans, has how much:
     
       a.   equity? b.   leverage?



     
  5. The speed limit on most highways (freeways, etc.) in the United States is typically 55 mph.  What is the corresponding speed limit in km/hr?
     

  6.  
    A person's normal walking speed is around 3 mi/hr.  At what speed would a person normally walk when measured in m/sec?
  7. In 1947, the Bell X-1 became the first airplane to break the "sound barrier."  It flew at an altitude (of 43,000-ft) where the speed of sound (in air) is approximately 295 m/sec.  What is the equivalent speed of sound expressed in mph?
     

  8.  
    Nerve impulses travel through the body's (peripheral) nervous system with a range of speeds between about 35-100 meters per second.  What is the equivalent range of speeds in:
       a.   feet per second?           b.   miles per hour?
  9. Top fuel dragsters have managed to run through ¼-mile (National Hot Rod Association) races in a mere 4.4 seconds, achieving a top speed exceeding 335 mph.  What is the "average" speed of a dragster which accomplishes such a feat in mph?

  10. In 1991, Carl Lewis set the world record for running the 100 meter dash, which he ran in 9.86 seconds.  What was his "average" running speed in  miles per hour?

     
  11. Hilo, Hawai'i (called the rainiest city in the United States) receives an average of approximately 130 inches of rainfall per year.  How many centimeters of rain fall in Hilo per month on average?


     
  12. A student using a word-processor can type 25 wpm (words per minute).  What is the minimum amount of time the student will need to type an 1800 word report?


     
  13. Estimate the amount of each of the following utility bills.
    1. A customer's water bill one month was $57 for using 15,000 gallons.  What would be the approximate cost for using only 9,000 gallons?
    2. A customer's electric bill one month was $238 for using 784 kilowatt-hours (kwh).  What would be the approximate cost for using 922 kwh?


     
  14. The following list of ingredients is for a Mushrooms with Garlic Butter recipe:
    • 2 cloves garlic
    • 1 lb. mushrooms
    • 2 Tbs. butter
    • 2 Tbs. olive oil
    • 2 Tbs. chopped fresh parsley
    The recipe is for 4 servings.  If you wish to make only enough for 3 people (i.e., servings), how much of each ingredient will be needed?


     

  15.  
    A "serving size" of Jiffy Creamy Peanut butter consists of 2 tablespoons.  It contains 190 calories, 3 g of sugar, 16 g of fat, 8 g of protein and 150 mg of sodium.  If one eats a slightly larger portion of 2.5 tbsp. of peanut butter, then how many calories are consumed?  How many grams of sugar, fat and protein?  How many mg of sodium?
  16. A 1998 Nissan Frontier (4-cyl., 4-wheel drive) pick-up truck can typically be driven about 330 mi on 15 gal of gas.  How far can it travel on 10 gal of gasoline?  What is the truck's average "mpg" (miles per gallon) rating?


     
  17. Find the unit price for each item and determine which is the more economical buy for the product comparsions listed below:
    1. An Albertsons' advertisement listed TIDE detergent on sale @ $13.99 for 198 oz, while a K-Mart ad published FAB detergent on sale @ $4.99 for 98 oz.
    2. At a Kroger grocery store, Doritos Corn Chips were being sold @ $2.69 for 11 oz and also @ $2.99 for 15 oz.
    3. At Long's Drugs, 175 Tylenol caplets (of 500 mg acetaminophen) were selling for $12.99 while 50 PayLess caplets (of 500 mg acetaminophen) were selling for $3.39.
    4. At Wal-mart, 24 exposures of (35mm, 100 speed) Konica film was recently on sale for $2.79 while 36 exposures of (35mm, 100 speed) Kodak film was selling for $5.39.
    5. At 7-Eleven, Budweiser Beer was selling @ $2.49 for 1 qt and $8.99 for a 12-pack (of 12 ounce cans).
    6. At a Winn-Dixie grocery store, two 56-oz containers of Dreyers' Ice Cream were on sale for $8 and two pints of Häagen Dazs Ice Cream were being offered for $7.
    7. At Safeway, four 2-liter bottles of Coca-Cola were on sale for $5.00 while a 24-pack (of 12 oz cans) were on sale for $4.99.
    8. At Sack-N-Save, ten 2-liter bottles of Pepsi-Cola were on sale for $10.00 while two 12-packs (of 12 oz cans) were on sale for $7.00.


     
  18. An injection of 8 mg Nalbuphine has been prescribed for a patient suffering from postoperative pain.  An ampule labeled 20 mg/mL is on hand.  How many mL should be injected?


     
  19. A nurse comes on duty and checks a patient's chart, where the doctor's orders read, "Administer 5 L dextrose solution over a period of 24 hours."  How much solution will be left after 9 hours?


     
  20. The legal blood-alcohol content limit used to be 0.10, in many states prior to 2000.  At that time, according to the U.S. Department of Transportation (D.O.T.), it was claimed that a 170-pound man would need to consume five "drinks" in one hour to reach the legal limit.  A "drink" refers to one ounce of distilled spirits, a (12 oz) bottle of beer or (an 4-8 oz) glass of wine.
    1. Hawai‘i, along with most other states, lowered its limit to 0.08 several years ago.  How many (12 oz) beers could the same 170 lb person drink in Hawai‘i?
    2. How many ounces of beer is the answer to part (a)?  How many liters?
    3. How many ounces of beer would a 120 lb person be able to consume before reaching the legal limit?
    4. How many (12 oz) beers in 2½ hours could a 120 lb person have before they would be considered illegally under the influence of alcohol in Hawai‘i?

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