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katrin [286]
3 years ago
13

A class of 24 students was asked to identify a team sports in which they have participated their responses are shown in the line

plot
A. how many total responses are recorded in the line plot for the five sports?
B. what is the total number of students polled?
C. give a possible explanation as why the answers to parts (a) and (b) are different.


plz help I am very confused

Mathematics
2 answers:
nekit [7.7K]3 years ago
7 0
There are 28 responses recorded.
There were 24 students polled.
The answers to these two questions are different because students could possibly be interested in more than one sport.
Goshia [24]3 years ago
4 0
<h3>Answer with explanation:</h3>

We are given a line plot that denotes the responses of the number of students who have participated in different sports.

We can make a table of these line plots as:

              Sport                     Number of Students

           Football                         4

           Soccer                           8

           Baseball                         7

           Basketball                      5

          Track and field                4

Hence, total number of responses=4+8+7+5+4=28                                                      

A)

The total number of total responses that are represented in the line plot are:

28.

Since, the number of dots or crosses that are represented in the line plot.

B)

The total number of students that are polled are : 24

C)

The answers in two part i.e. part A) and Part B) are different since one student may participate in more than one game as there is no condition that one student can participate in just one sports.

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Step-by-step explanation:

In this particular case we have the following system of equations:

y

=

−

3

x

+

4

[

E

q

.

1

]

x

+

4

y

=

−

6

[

E

q

.

2

]

Substituting

[

E

q

.

1

]

in

[

E

q

.

2

]

:

x

+

4

(

−

3

x

+

4

)

=

−

6

Applying the distributive property on the left side:

x

−

12

x

+

16

=

−

6

Simplifying

:

−

11

x

=

−

22

Solving for

y

:

x

=

−

22

−

11

=

2

Substituting

x

=

2

in

[

E

q

.

1

]

:

y

=

−

3

(

2

)

+

4

=

−

2

Therefore

, the solutions are

x

=

2

and

y

=

−

2

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