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Bas_tet [7]
3 years ago
5

The following table shows the data collected from 2 random samples of 100 students each from an after-school club regarding thei

r favorite outdoor activity: Sample Canoeing Bike Racing Reading Total 1 40 35 25 100 2 45 40 15 100 Which of the following observations can be made about the number of students in the club who prefer canoeing? It is more than the number of students who prefer bike racing and reading combined. It is less than the number of students who prefer bike racing and reading combined. It is equal to the number of students who prefer reading. It is less than the number of students who prefer bike racing.
Mathematics
2 answers:
Anna35 [415]3 years ago
8 0

Answer:

The correct option is:

It is less than the number of students who prefer bike racing and reading combined.

Step-by-step explanation:

We are given a table that shows the data of two samples regarding the favorite outdoor activity of 100 students as:

Sample      Canoeing     Bike Racing      Reading    Total

     1                  40                 35                  25           100

     2                  45                 40                  15           100

1)

It is more than the number of students who prefer bike racing and reading combined.

From sample 1 the combined number of students who love bike racing and reading is:  35+25=60

From sample 2 the combined number of students who love bike racing and reading is:  40+15=55

Hence, in both the samples the number of people who love bike racing and reading combined are more than those who prefer canoeing.

Hence, option (1) is incorrect.

2)

It is less than the number of students who prefer bike racing and reading combined.

As done in option (1) we get option (2) is correct.

3)

It is equal to the number of students who prefer reading.

This option is incorrect.

Since,

                           Canoeing          Reading

Sample 1:               40                      25    

Sample 2:               45                     15

4)

 It is less than the number of students who prefer bike racing.

This option is also incorrect.

Since,

                            Canoeing          Bike racing

Sample 1:               40                      35

Sample 2:               45                     40

crimeas [40]3 years ago
8 0

Answer:

option a is correct i know someone said it but i hope it helps and have a great day

Step-by-step explanation:

:))

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b)

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Step-by-step explanation:

This is a equation's system with 4 unknown variables ( the number of the 4 kinds of shippings performed) , lets call the 4 variables like this:

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  • b: Brooklyn to Manhattan books
  • c: Queens to Long Island books
  • d: Queens to Manhattan books

Now, let´s see what we know:

1) First we know that each bookstore has asked for 1500 books so:

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  • 1500= a+c=> a= 1500-c (2)

2) We also know that the total amount spent  in transportation is 9000$ at the given individual trasportattion prices

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3) Finally, we know that the since we have a total number of books in the two warehouses of 3000 books, the same quantity that is demanded by the two bookstores, all the books are delivered.

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and in Queens there are 2000 books:

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Now, formulas (2) and (4) are equal to a, so they are equal to each other

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c= (9000-5a-b-2d)/4

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