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EleoNora [17]
3 years ago
5

Can you help Jorge organize the results into a two-way frequency table? Please answer this ASAP

Mathematics
1 answer:
Juliette [100K]3 years ago
6 0

Answer:

The table is attached!

Step-by-step explanation:

  • 6 students play both musical instrument and a sport
  • 3 students play neither a musical instrument nor a sport
  • 14 students in total play a sport

Given: There are 24 students in the class

The number of students that does not play a sport is 24 - 14 = 10

The number of students that does not play a musical instrument but play a sport = 14 - 6 = 8

The frequency table thus is attached below:

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Answer: Let's assume that the pig pens need to be fenced in the way shown in the diagram above.

Then, the perimeter is given by

4

x

+

3

y

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4

x

=

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−

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y

x

=

40

−

3

4

y

The area of a rectangle is given by

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×

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A

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2

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A

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2

(

40

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y

A

=

80

y

−

3

2

y

2

Now, let's differentiate this function, with respect to y, to find any critical points on the graph.

A

'

(

y

)

=

80

−

3

y

Setting to 0:

0

=

80

−

3

y

−

80

=

−

3

y

80

3

=

y

x

=

40

−

3

4

×

80

3

x

=

40

−

20

x

=

20

Hence, the dimensions that will give the maximum area are

20

by

26

2

3

feet.

A graphical check of the initial function shows that the vertex is at

(

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3

,

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3

)

, which represents one of the dimensions that will give the maximum area and the maximum area, respectively.

Hopefully this helps!

Step-by-step explanation: hope this helps

3 0
3 years ago
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