A large container filled with marbles has four levels. Each level has holes through which marbles may drop to the levels below. Every 20 minutes, a machine shakes the container. After shaking, some marbles will drop to lower levels but within 10 minutes all marbles will come to rest. For each level except the last, half of the marbles will remain on that level and the other half will be equally distributed to the levels below. Marbles on the last level always stay there. The container is shaken at 9:00 am, 9:20 am, and 9:40 am. If the distribution at 9:30 (i.e. after the second shake) is as shown below, find the distribution at 9:10 and at 9:50.
A large container filled with marbles has four levels. Each level has holes through which marbles may drop to the levels below. Every 20 minutes, a machine shakes the container. After shaking, some marbles will drop to lower levels but within 10 minutes all marbles will come to rest. For each level except the last, half of the marbles will remain on that level and the other half will be equally distributed to the levels below. Marbles on the last level always stay there. The container is shaken at 9:00 am, 9:20 am, and 9:40 am. If the distribution at 9:30 (i.e. after the second shake) is as shown below, find the distribution at 9:10 and at 9:50.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A large container filled with marbles has four levels. Each level has holes through which marbles may drop to the levels below. Every 20 minutes, a machine shakes the container. After shaking, some marbles will drop to lower levels but within 10 minutes all marbles will come to rest. For each level except the last, half of the marbles will remain on that level and the other half will be equally distributed to the levels below. Marbles on the last level always stay there.
The container is shaken at 9:00 am, 9:20 am, and 9:40 am. If the distribution at 9:30 (i.e. after the second shake) is as shown below, find the distribution at 9:10 and at 9:50.
Transcribed Image Text:A large container filled with marbles has four levels. Each level has holes through which marbles may drop to the levels below. Every 20 minutes, a machine shakes the
container. After shaking, some marbles will drop to lower levels but within 10 minutes all marbles will come to rest. For each level except the last, half of the marbles will
remain on that level and the other half will be equally distributed to the levels below. Marbles on the last level always stay there.
The container is shaken at 9:00 am, 9:20 am, and 9:40 am. If the distribution at 9:30 (i.e. after the second shake) is as shown below, find the distribution at 9:10 and at
9:50.
Time
9:10
9:30
9:50
Level 1
300
Level 2
300
Level 3
300
Level 4
800
400
200
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