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The Fomula for the perceding exercise is a special case of thefollowing fourmula

ID: 2954634 • Letter: T

Question

The Fomula for the perceding exercise is a special case of thefollowing fourmula for the weighted mean: a) if an instructor counts the final examination in a coursefour times as much as each 1-hour examination, what is the weightedaverage grade of a student who received grades of 69, 75,56 and 72in 1-hour examinitions and a final examination grade of 78? b) From 1999 to 2004 the cose of food increased by 53% in acertain city, the cost of housing incresed by 40%, and the cost oftransportation increased by 34%. if the average salaries workerspent 28% of his or her income on food., 35% on housing, and 14% ontransportation, what is the combined percentage increase in thecost of these items? --------------------------------------------------------- Please explain step by step... thank you in advance...

Explanation / Answer

using your formula a)   (69*1+75*1+56*1+72*1+78*4)/(1+1+1+1+4)=73 you calculate the increase by multiplying the previous data pointsby respective coefficients of increase: b)   0.28*0.53 + 0.35* 0.40 + 0.14*0.34 = 0.336

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