Idaho Society of Professional Engineers
Friday Update – 10/06/06
UPCOMING EVENTS:
• October 17, 2006 -
ISPE Southwest Chapter
Noon Meeting
• October 27, 2006 - PE and PS
Examinations - Boise, Idaho
• October 28, 2006 - FS (aka
LSIT) Examination - Boise, Idaho, Pocatello, Idaho, Moscow, Idaho
• October 28, 2006 - FE (aka EIT)
Examination - Boise, Idaho. Pocatello, Idaho, Moscow, Idaho
• February 6 – 10, 2007 –
Idaho Society of Professional Land
Surveyors Conference - Coeur d' Alene Casino - Worley, Idaho
• March 22 & 23, 2007 -
ISPE 2007 Annual Meeting - Oxford Suites, Boise
Governors Proclamation
THE 6TH ANNUAL PUT THE BRAKES
ON FATALITIES DAY® IS TUESDAY, OCTOBER 19, 2006
Because every LIFE is precious...
Help Put the Brakes on Fatalities® and SAVE Lives!
Please Practice & Promote these ten (10) SAFE Driving Behaviors:
Before you put yourself behind the wheel:
1. Ensure your vehicle is safe; e.g. clean and properly maintained,
2. Allow yourself enough time to arrive safely,
3. Be Physically Sound & Mentally Sharp,
Before you start the ignition:
4. Buckle UP,
5. Maintain Clear Sight Picture,
While driving:
6. Pay Complete Attention on Driving,
7. Follow Signals, Signs, Speed Limits & Striping,
8. Maintain Safe Following Distance,
9. Be a Non-aggressive, Courteous & Conscientious Driver,
0. Be a Safe Defensive Driver,
Drive as if Your LIFE Depends On It!!
CONTINUING EDUCATION OPPORTUNITY
October 24, 1:30–3:00 PM Eastern
Free Online Seminar For NSPE Members!
Presented by Licensure & Qualifications for Practice Committee
Changing the PE Paradigm: Additional Education for Professional Practice
Space is limited! Register early!
Registration
form for FREE Web Seminar (Word document)
MATHCOUNTS PROBLEM OF THE WEEK
Can you solve this MATHCOUNTS problem? The answer will appear in next
week's edition of the Friday Update!
Parking The Car
The vertices of a proposed rectangular parking lot ABCD have been marked on the
land with stakes. The parking spaces are rectangles each measuring 8 feet wide
and 15 feet long. Adjacent parking spaces share a 15 foot side. Exactly 7
increments measuring 8 feet have been marked on each of the sides AB and CD to
show the width of each parking space. Between these two rows of parking spaces
is a 20-foot wide aisle in which cars can drive through the lot. What are the
dimensions of the rectangular parking lot, in feet, and how many square feet is
the top surface area of the parking lot?
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The parking spaces are numbered consecutively from 1-7 on side AB and 8-14 on
side CD. Two cars enter the empty parking lot one behind the other and are
randomly assigned different parking spaces. What is the probability the two
spaces they are assigned are adjacent to each other? Express your answer as a
common fraction.
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Parking spaces are sold for $1.50 per hour from 8 am to 6 pm and $5.00 for
overnight parking from 6 pm to 8 am the next day. The previous month’s data
shows that on the average there are 50 cars in the lot per day and that each
stays an average of 2 hours per day. There are also 8 additional cars that park
overnight each night. Based on this data, what is the projected income for a
30-day month?
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John, who lives in a nearby apartment, is considering renting a parking space.
Option A is $1.50 per hour from 8 am to 6 pm plus $5.00 for overnight parking
from 6 pm to 8 am. Option B is park any time any day for a flat rate of $250 per
month. He plans to use a parking space for 20 full days (8 am to 6 pm) and 20
overnights per month. Which option is the better buy and how much will he save
by selecting that option?
Answer to last week’s MATHCOUNTS problem:
The product only will not be zero if both cards drawn are not zero. There is a
2/4 chance of getting a non zero on the first draw and a 1/3 chance of getting a
non zero on the second draw if the first draw is a non zero. Since we want the
first and the second event to occur, it is a compound probability. The
probability of getting a non zero product is 2/4 ×1/3 = 1/6.
There are six possible ways that the three brothers can pick the lunch. Adam can
take any of the three lunches, Ben has a choice of 2 and Carl takes the last
lunch. By the counting principle there are 3 × 2 × 1 = 6 possible ways. However,
there are two ways that each can take a lunch that is not theirs. Adam can take
Ben’s or Carl’s lunch. If Adam takes Ben’s, then Ben must take Carl’s and Carl
takes Adam’s. If Adam takes Carl’s, then Ben must take Adam’s and Carl takes
Ben’s. The probability that each gets a lunch that is not his own is 2/6 = 1/3.
There are 15 prime numbers from 1-50 inclusive: 2, 3, 5, 7, 11, 13, 17, 19, 23,
29, 31, 37, 41, 43, and 47. The probability of drawing a prime on the first draw
is 15/50 and on the second draw 14/49. This is a compound event so the
probability of both events occurring is the product of the probability of each
event occurring, which is 15/50 ×14/49 = 3/35.
There are 15 primes from 1-50 inclusive and 10 primes: 53, 59, 61, 67, 71, 73,
79, 83, 89, and 97 from 51-100 inclusive. The probability of drawing a prime
number from 1-50 is 15/50 = 3/10. The probability of drawing a prime from 50-100
is 10 / 50 = 1/5. This is a compound event so the probability of both events
occurring is the product of the probability of each event occurring, which is
3/10 × 1/5 = 3/50.
There are 25 primes from 1-100 inclusive. The probability of drawing a prime
number on the first draw is 25/100 and on the second draw 24/99. This is a
compound event so the probability of both events occurring is the product of the
probability of each event occurring, which is 25/100 × 24/99 = 2/33.
If you want to see last week's problem again, click
http://www.mathcounts.org/webarticles/anmviewer.asp?a=903&z=107
Idaho Society of Professional Engineers
PO Box 170239
Boise, ID 83717-0239
208-426-0636
Fax: 208-426-0639
E-Mail: ispe@idahospe.org
Web Site: www.Idahospe.org
Idaho
Society of Professional Engineers
