Idaho Society of Professional Engineers

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Idaho Society of Professional Engineers
Friday Update - 04/30/04

UPCOMING EVENTS:

●  IBPEPLS Board Meeting, April 30 and May 1, 2004

●  ISPE Board Meeting, May 11, 2004

●  NSPE 2004 Convention and Expo, July 8 - 10, 2004, Honolulu, Hawaii

MEDIA COVERAGE:
ISPE is working to gain positive publicity throughout the state. We will let you know when stories appear in the future. If you see anything run in your area, please take a moment to let us know at ispe@rmci.net

http://www.idahostatesman.com/apps/pbcs.dll/article?AID=2004404230307
http://www.idahostatesman.com/apps/pbcs.dll/article?AID=2004404250304
http://www.idahostatesman.com/apps/pbcs.dll/article?AID=2004404270317
http://www.idahostatesman.com/apps/pbcs.dll/article?AID=2004404280308
http://www.idahostatesman.com/apps/pbcs.dll/article?AID=2004404290314

Honolulu Legacy Goes the eBay Way
For this year's NSPE Annual Convention, July 8-13, NSPE and the Hawaii Society of Professional Engineers have chosen Habitat for Humanity in Honolulu as the beneficiary of the convention's legacy project. Using money raised through an eBay charity auction--the goal is $20,000--the legacy will enable PEs to build a house for one family in the host city.

Up for bids are two rounds of golf at Oahu's Hawaii Prince Golf Club; dinner for two at any Marriott; golf at Ko'olau Golf Club; or a one-night stay at any Marriott or Renaissance Hotel in U.S., Canada, Mexico, Central and South America, and the Caribbean. Check out the Legacy page on eBay for more details.

One-Stop Shop for Engineers
The NSPE Virtual Marketplace is now open! Find the products and services to enhance your businesses, careers and lifestyle. Log on today at http://nspe.itradefair.net to browse the site, research products and services and connect with vendors.


MATHCOUNTS PROBLEM OF THE WEEK
Can you solve this MATHCOUNTS problem? The answer will appear in next week's edition of the Friday Update!

Women Finish First (Men Still Run Faster)
For the first time in the 108-year history of the Boston Marathon, the women started the marathon 29 minutes before the men. The first place woman finished with a time of 2 hours, 24 minutes, 27 seconds. The first place man’s time was 2 hours, 10 minutes, 37 seconds. How much time elapsed between the winning woman crossing the finish line and the winning man?
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The first U.S. man across the finish line was the 13th male finisher and ran the marathon in 2 hours, 25 minutes, 45 seconds. If the first 13 male finishers’ times form an arithmetic sequence, how long would it have taken the 10th place male to finish the race?
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Though not the record-breaking heat of 96 degrees in 1976, the weather conditions were much tougher than the usual 57-degree average temperature for April in Boston. Due to the 85-degree heat, officials had 80 pounds of ice at each of the 26 stops along the route. What percent of a ton did the total amount of this ice weigh?

Answer to last week's problem:
First, we can figure out how many possible pairings there are for the final two competitors. This is a “16 choose 2” problem, which is (16!)/[(2!)(14!)] = 120 ways. Now we need to see how many pairings exist for each of the four shows. They will all still be “x choose 2” situations. For the Simpsons kids, there are "3 choose 2" = 3 combinations; for the Seinfeld stars, there are "4 choose 2" = 6 combinations; for the ESPN anchors, there are "6 choose 2" = 15 combinations; and for the Dragonball Z characters, there are "3 choose 2" = 3 combinations. This is a total of 3 + 6 + 15 + 3 = 27 combinations of two people that are both from the same show. The probability is then 27/120 = 9/40.
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Since the mean of the four scores was 15, we know that the four scores totaled 15 × 4 = 60. The scores of Lisa and Nelson account for 29 of these points, leaving 31 points to distribute between Ralph and Bart. Since they were both higher than 10 and not prime, we can start checking pairs of numbers… 12 & 19 (No), 14 & 17 (No), 15 & 16 (Yes!) This pair satisfies all of the conditions. (You can also check to see that this is the only combination that works.) Since Bart’s score was the lower than Ralph’s, his score was 15 points.
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We know that #9 was answered correctly, so that doesn’t factor in. We know that #2 being answered correctly has a probability of 1/2 and the probability of #4 being answered correctly is 2/3. Therefore, the probability of all three of these events occurring is 1 × 1/2 × 2/3 = 1/3.

If you want to see last week's problem again, click on http://www.mathcounts.org/Queries/POW_Archive.taf?_function=detail&Q_A_uid1=491&_UserReference=CD8298F0A95B1E92408EAEA6

Idaho Society of Professional Engineers
PO Box 170239
Boise, ID 83717-0239
208-426-0636
Fax: 208-426-0639
E-Mail: ispe@rmci.net
Web Site: www.Idahospe.org
 

 

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