5/20/10

May 21st, 2010

LOG PROBLEM

If 45 people vote for Arlen Spechter in the primary out of 100, what is the probability that the next person will voter for Arlen Spechter?

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1. $2.50 x 1400 = $3,500

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2.
20% x 100 = .20 x 100 = 20
You would expect 20 cars to use the carpool lane.

3.
Low toll - 200
High toll - 800

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4a.
200 x $1.00 = $200
800 x $4.00 = $3,200

$200 + $3,200 = $3,400

4b.
$3,400/1000 = $3.40
The average toll charge per car will be $3.40

5.
200 cars x 3 = 600 carpool users
800 cars x 1 = 800 non-carpool users

600+800 = 1,400 travelers

6.
The department should make the change because there wil be 400 fewer cars on the road, which will lessen pollution and road wear and be safer.

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7.
The cars are divided according to the lane they use. The toll for all the cars in each lane is calculated. Then, all the tolls are added.

8a and 8b.

1000 cars

300 cars x $1 = $300
700 cars x $4 = $2,800

$300 + $2,800 = $3,100

Total = $3,100

8c.
$3,100/1000 = $3.10

8d.
The highway department might be interested because they could use this value to estimate the total amount of money collected for different time periods.