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Tim wants to create a circle graph showing the number of physicians whose specialty is aerospace medicine. He knows the following information. $\bullet$ 53 male physicians are under 35 years of age. $\bullet$ 8 female physicians are under 35 years of age. $\bullet$ 155 male physicians are between 35 and 44 years of age. $\bullet$ 17 female physicians are between 35 and 44 years of age. $\bullet$ 145 male physicians are between 45 and 54 years of age. $\bullet$ 10 female physicians are between 45 and 54 years of age. $\bullet$ 98 male physicians are over 54 years of age. $\bullet$ 2 female physicians are over 54 years of age. If he wants to include each of the eight groups in his graph, how many degrees would he use for the central angle of the "45-54 year-old Males" sector? Express your answer to the nearest whole number.

 Oct 26, 2019
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We know that there are 145 male physicians between 45 and 54 years of age. We add up how many total physicans there are and get that there are 488 physicans. We also know that there are 360 degrees in a circle. Here, we can write the proportion 145/488 = x/360. Solving for x, we get 6525/21 which is approximately 107 degrees.

 Oct 26, 2019
edited by ThatOnePerson  Oct 26, 2019

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