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Is the data set approximately periodic?
If so, what are its period and amplitude?

A. not periodic
B. periodic with period of 4 and amplitude of about 7.5
C. periodic with period of 4 and amplitude of about 15
D. periodic with period of 5 and amplitude of about 15
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Is the data set approximately periodicIf so what are its period and amplitudeA not periodicB periodic with period of 4 and amplitude of about 75C periodic with class=

Respuesta :

Answer:

Option: C is the correct answer.

       C. Periodic with period 4 and amplitude of about 15.

Step-by-step explanation:

We are given the table of values as:

Hour             1 -- 2 -- 3 --  4 --  5 -- 6 -- 7 -- 8 -- 9 -- 10 -- 11

Number       24-41-10-32-26-38-9-31-25-39-12

of boats

As we could see that after every 4 value the values are approximately repeating.

Hence,the data set is approximately periodic.

Also, the amplitude is calculated as:

Average of the maximum and minimum value of each set

We divide the set into 3 sets as follows:

 Hour                       1           2           3            4

Number of boat      24        41          10           32

Here we have amplitude as:

         (41-10)/2=15.5

 Hour                       5           6           7            8

Number of boat      26        38           9           31

  Amplitude is:

          (38-9)/2=14.5

Hour                       9           10          11            12

Number of boat      25        39          12      

            Amplitude is:

            (39-12)/2=13.5

Hence, we see that the amplitude is about 15.

   

Lanuel

Based on the calculations, the data set is approximately: C. periodic with period of 4 and amplitude of about 15.

What is a periodic function?

A periodic function can be defined as a type of function that has its values being repeated at regular interval of time (period).

In this scenario, we are giving the following data:

Hours                              1      2     3     4     5     6     7    8    9     10   11    12

Number of boats           24   41    10   32   26   38   9    31   25  29   12   34

From the above, we can deduce that the values are being repeated at regular interval of four (4). Thus, its period is equal to four (4).

For the amplitude:

[tex]Amplitude =\frac{38-9}{2}\\[/tex]

Amplitude = 14.5 ≈ 15.

Find more information on periodic function here: https://brainly.com/question/9718382

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