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1 Homework Answers` Page of PbAf Unversty of Washngton Homework Assgnment # On ths homework assgnment, I wll be gradng the smallest prme number between and 0, and 0, and 0 and so on. To clarfy ths, the frst two problems I wll be gradng wll be # and #. You're on your own after that. Calculate the followng. In the case of fractons, reduce them to ther smplest possble forms.
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4 Homework Answers` Page of Smplfy the followng fractons as much as possble
5 Homework Answers` Page of Calculate the followng percentage changes usng the frst number as the base.. Populaton ncreases from 0,000 to,000. (,000-0,000)/0,000=/0=0. or.%. Average house prce ncreases from $0,000 to $0,000. (0,000-0,000)/0,000=0/0=/=0. or.%. Hourly wage ncreases from $. to $.. (.-.)/.=0.0/.=0.0 or %. Weght decreases from 0 pounds to 0 pounds (0-0)/0=-/=-0.0 or -.%. The prce of a pound of rce falls from $0.0 to $0.. (0.-0.0)/0.0=-/0=-/=-0. or -.%. Ranfall decreases from nches per year to 0 nches per year. (0-)/=-/=-/=-0. or -.%. The number of mles bked n one year falls from 00 to 00. (00-00)/00=-00/00=-/=-0. or -.%. The number of students n a graduatng class falls from to. (-)/=-0/=-0.0 or -.%. The number of commuters on the Burke-Glman tral rses from 00 to 00. (00-00)/00=00/00=/=0.0 or.% 0. Average class sze rses from to 0 students. (0-)/=/=/=0.0 or 0%
6 Homework Answers` Page of Calculate the followng percentage changes usng the average of the two numbers as the base.. Populaton ncreases from 0,000 to,000. (,000-0,000)/,00=,000/,00=0. or.%. Average house prce ncreases from $0,000 to $0,000. (0,000-0,000)/,000=0,000/,000=0. or.%. Hourly wage ncreases from $. to $.. (.-.)/.0=0.0/.0=/=0.0 or.%. Weght decreases from 0 pounds to 0 pounds (0-0)/=-0/=-0.00 or -.0%. The prce of a pound of rce falls from $0.0 to $0.. (-0)/.=-/.=-0. or -.%. Ranfall decreases from nches per year to 0 nches per year. Ths s the reverse of #.. The number of mles bked n one year falls from 00 to 00. Ths s the reverse of #.. The number of students n a graduatng class falls from to. Ths s the reverse of #.. The number of commuters on the Burke-Glman tral rses from 00 to 00. Ths s the reverse of #. 0. Average class sze rses from to 0 students. Ths s the reverse of #.
7 Homework Answers` Page of Calculate the prce elastcty n each case. When calculatng the percentage change, use the average of the two numbers as the base.. Prce rses by 0% and the quantty demanded falls by %. PED=-%/0%=-0.. Prce falls by % and the quantty demanded rses by %. PED=%/-%=-/=-0.0. The prce rses from to 0 and the quantty demanded falls from 0 to 0. PED=[(0-0)/(0+0)]/[(0-)/(0+)]=(-0/0)/(/)= (-/)/(/)=-. The prce rses from to and the quantty demanded falls from 0 to. PED=[(-0)/(+0)]/[(-)/(+)]=(-/)/(/)=(-/)/(/)= (-/)*(/)=-/. The prce falls from to and the quantty demanded rses from 00,000 to 0,000. PED=[(0-00)/(0+00)]/[(-)/(+)]=(0/0)/(-/)= (/)/(-/)=(/)*(-/)=-/0. Prce falls by 00% and quantty demanded rses by 0%. Ths s the reverse of #, but the answer s the same. Prce rses by.% and quantty demanded falls by %. Ths s the reverse of #, but the answer s the same. Prce falls from $.00 to $.0 and quantty demanded rses from 00,000 to 00,000. Ths s the reverse of #, but the answer s the same. Prce falls from $.00 to $.00 and the quantty demanded rses from. mllon tons to.0 mllon tons. Ths s the reverse of #, but the answer s the same 0. Prce rses from $.0 to $.0 and the quantty demanded falls from 0 to 00. Ths s the reverse of #, but the answer s the same
8 Homework Answers` Page of Calculate the followng sums. Use the followng data ponts where necessary: = = = = = ( 0) ( 0) ( 0) ( 0) ( 0)
9 Homework Answers` Page of 0. me) (trust. ) ( ) ( ) ( ) ( ) (. 0 0 ) ( ) ( ) ( ) ( ) (. 0 0) ( 0) ( 0) ( 0) ( 0) (
10 Homework Answers` Page 0 of Calculate the followng fractons:....! 0 0,0,0!! 0 0! 0! 0!!!!,0.! 0!!,, 0. 0!! 0 0,0!.!!!,,0.!!!,0 In a lotto drawng, the number of possble outcomes s n! x! n - x! where n s the number of balls n the machne and x s the number actually drawn.. Calculate the number of possble combnatons n a lotto where balls are chosen from 0. 0!/(!!)=,,0 0. Calculate the number of possble combnatons n a lotto where balls are chosen from 0. 0!/(!!)=,,0. To see why we defne 0!=, calculate the number of possble combnatons n a lotto where 0 balls are chosen from 0. 0!/(0!0!)=. Alternatvely, calculate the number of possble combnatons n a lotto where 0 balls are chosen from 0. 0!/(0!0!)=
11 Homework Answers` Page of. Calculate the number of possble combnatons n a lotto where balls are chosen from. How does t compare to the number when are chosen from 0?!/(!!)=,00,. Ths s equal to,00,/,,0=. tmes the prevous number.. Why are all lottos run lke the one n # rather than the one n #0? People who don't understand ths materal probably thnk t's easer to pck a smaller number correctly. Alternatvely, t takes more tme to pck and check the larger number of balls. The average or mean of a sample of data s defned as: n n n n n n Calculate the means of the followng data sets.. =, =, =, =, = 0. =, =, =, =, =, =0 0. =, =, =, =, =, =. =, =, =, =, =, =0 0/=. Break the followng numbers down nto ther prme factors.. =*=** 0. =*=**=***. =*=**. =*=**=****. =*. =*=***. =*=**=***=****=******=. =*=**=***=****. =
12 Homework Answers` Page of. 00==***. = 00. =*=**
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