8/13/2019 Basketball_statistics - Linear Systems Algebra

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Basketball statistics and systems of equations

Deron Williams and Chris Paul have been compared to each other their entire careers in the NBA.Deron Williams was drafted by the Utah a!! with the third pic" of the #$$% NBA Draft. Chris Paul wasdrafted one spot later by the New &rleans 'ornets. Both players have comparable statistics from their threeseasons in the lea(ue) both have played in the NBA All*+tar team) and both were part of the (old medalwinnin( #$$, United +tates &lympic Bas"etball -eam.

n bas"etball) a free throw is worth / point and a field (oal is ether # points or 0 points. n the#$$1*#$$, season) Chris Paul scored a total of /2,3 points. -he total number of #*point and 0* point field(oals he made was 20$ and the total number of free throws he made was 00#. Usin(a system of e4uations) determine how many #*point field (oals and 0*point field (oals Chris Paul made in the#$$2*#$$1 season.

n the #$$1*#$$, season) Deron Williams scored a total of /%3% points. -he total number of #* point field(oals and free throws he made was ,/0 and the total number of 0*point field (oals he made was ,0. Usin( asystem of e4uations) determine how many #*point field (oals and free throws Deron Williams made in the#$$2*#$$1 season.

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n bas"etball a field (oal is defined as a shot that is worth # points or 0 points. What was Chris Paul5s field(oal percenta(e if he attempted /#6/ field (oals7

What was Deron Williams5 field (oal percenta(e if he attempted ///1 field (oals7

What was Chris Paul5s 0*point percenta(e if he attempted #36 0*point field (oals7

What was Deron Williams5 0*point percenta(e if he attempted #/$ 0*point field (oals7

Durin( the #$$1*#$$, season) Chris Paul played in ,$ (ames. 'ow many field (oals did Chris Paul ma"e per(ame durin( the #$$1*#$$, season7

Durin( the #$$1*#$$, season) Deron Williams played in ,# (ames. 'ow many field (oals didDeron Williams ma"e per (ame durin( the #$$1*#$$, season7

Statisticians

+tatisticians wor" in many different areas) such as analy!in( data collected from e8periments in science) determinin( the number ofhouseholds that watch a television show) and surveys measurin( unemployment for the (overnment. +tatisticians desi(n many surveysand set the procedures to be followed from how to sample the population to the 4uestions bein( as"ed. -hen usin( computers) theyanaly!e the data collected and summari!e and present the results of the data. +ystems of e4uations can help with the summari!in( ofspecific data.

n bas"etball) statisticians are used to help ma"e sure that the team they wor" for does not overpay for a player) and to find the playersthat can best play in that team5s style of play. +tatisticians loo" at statistics for players over their entire colle(e and professionalcareers to decide which players the team should attempt to add to their team. Based on what a statistician can infer) statistics can alsohelp to determine how much money a team will offer the player. -hese statistics will be used to predict the future statistics of theplayer for the upcomin( season.

Education: 9aster5s de(ree in statistics or mathematics Pay: 01)$$$ * /$,)$$$ Growth: Avera(e (rowth; 6< increase

Accountants

Accountants record and maintain the financial records of a company. Accountants may analy!e the financial statements of thecompany) or analy!e the cost of different items and provide feedbac" to e8ecutives so the e8ecutives can ma"e informed financialdecisions. +ystems of e4uations can help with the analysis of these costs.

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Education: Bachelor5s de(ree in accountin( Pay: 3#)$$$ * 1#)$$$ Growth: =aster than avera(e (rowth; /,< increase

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*8 > /,1% ? /%3%*8 ? *00$8 ? 00$ the number of free throws

8 > y ? ,/0

00$ > y ? ,/0y ? 3,0 the number of #*point field (oals

n bas"etball a field (oal is defined as a shot that is worth # points or 0 points. What was ChrisPaul5s field (oal percenta(e if he attempted /#6/ field (oals7

20$ ? Appro8imately 36