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The following table shows the relationship between students who enroll in advanced Algebra and Chemistry in a particular high school. From a sample of 40 students it is found that 29 are enrolled in Algebra, 11 are enrolled in Chemistry, and five are enrolled in both.
 

                          Algebra      Not in Algebra     Total

Chemistry             5                                            11

Not in Chemistry   

Total                      29                                          40



Complete the rest of the two-way frequency table above.

Part A: How many students are enrolled in either Algebra or Chemistry? Explain your answer using complete sentences. (2 points)

Part B: If there are 2,000 students in this school, how many (rounded to the nearest whole student) are expected to be enrolled in just Chemistry this year? Explain your answer using complete sentences. (3 points)

Guest Apr 4, 2018
 #1
avatar+87639 
+1

 

Well...don't know about the "cool"  part...but....here goes nothing......

 

                       Algebra      Not in Algebra     Total

Chemistry             5               6                        11

Not in Chemistry  14            15                        29

Total                     29            21                        40

 

 

 

A)  N(Algebra  or Chemistry)  =  N (Algebra)  + N (Chemistry) - N (In Both) =

                                                      29          +         11             -           5            =     35   

 

B)   Ratio of those in just Chemistry to total  =   6 / 40   =  3/20

So.....we would expect the same ratio  in  2000  =  3/20 * 2000  =  (2000/20) * 3 =  600    

 

I'll let you write the "complete sentences" part based on  my answers...... 

 

 

 

cool cool cool                             

CPhill  Apr 4, 2018
 #2
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+1

thanks cool kid

Guest Apr 4, 2018
 #3
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0

                Algebra      Not in Algebra     Total

Chemistry             5               6                        11

Not in Chemistry  14            15                        29

Total                     29            21                        40

 

A)  N(Algebra  or Chemistry)  =  N (Algebra)  + N (Chemistry) - N (In Both) =

                                                      29          +         11             -           5            =     35   

 

B)   Ratio of those in just Chemistry to total  =   6 / 40   =  3/20

 the ratio we would expext is 2000  =  3/20 * 2000  =  (2000/20) * 3 =  600    

Guest Apr 5, 2018

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