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Author Question: An organization helping to provide meals to city shelters for the homeless has a membership of 30 ... (Read 4536 times)

Shelles

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Question 1

An organization helping to provide meals to city shelters for the homeless has a membership of 100 volunteers. They are assigned among the four city areas A, B, C, and D in proportion to the number of people fed in the respective areas. The  numbers of people fed at the city shelters in each city area are shown in the following table.

                                       

Use Adams's method to extend the table and apportion the 100 volunteers among the city areas.

                     










Question 2

An organization helping to provide meals to city shelters for the homeless has a membership of 30 volunteers. They are assigned among the four city areas A, B, C, and D in proportion to the number of people fed in the respective areas. The  numbers of people fed at the city shelters in each city area are shown in the following table.

                                       

Use Webster's method to extend the table and apportion the 30 volunteers among the city areas.

                     










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Marked as best answer by Shelles on Feb 2, 2020

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<p><span class="a_bt">Answer 1</span></p><br /><img src="data:image/png;base64, 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" alt="" /><br/><br/><p><span class="a_bt">Answer 2</span></p><br /><img src="data:image/png;base64, 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" 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The National Institutes of Health have supported research into acupuncture. This has shown that acupuncture significantly reduced pain associated with osteoarthritis of the knee, when used as a complement to conventional therapies.

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During the twentieth century, a variant of the metric system was used in Russia and France in which the base unit of mass was the tonne. Instead of kilograms, this system used millitonnes (mt).

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After 5 years of being diagnosed with rheumatoid arthritis, one every three patients will no longer be able to work.

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It is believed that the Incas used anesthesia. Evidence supports the theory that shamans chewed cocoa leaves and drilled holes into the heads of patients (letting evil spirits escape), spitting into the wounds they made. The mixture of cocaine, saliva, and resin numbed the site enough to allow hours of drilling.

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All adults should have their cholesterol levels checked once every 5 years. During 2009–2010, 69.4% of Americans age 20 and older reported having their cholesterol checked within the last five years.

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