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Ahat [919]
3 years ago
9

George wrote an integer. The opposite of George's integer is - 53. Which of these statements about George's integer must be true

? The integer is 53. II. The integer has an absolute value of - 53. III. The integer is - 53. IV. The integer has an absolute value of 53. A I and II B II and IV C II and III D I and IV
Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0

Answer:

D I and IV

Step-by-step explanation:

The opposite of an integer "x" is "-x".

I. The integer is 53.  →  Since the opposite of George's integer is -53, the integer is -(-53) = 53

II. The integer has an absolute value of - 53.  →  The absolute value of 53 is 53.

III. The integer is - 53.  →  It was 53, found in I.

IV. The integer has an absolute value of 53.  →  It has an absolute value of 53, found in II.

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The data set shown below represents the number of times some families went out for dinner the previous week. 4, 2, 2, 0, 1, 6, 3
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Dot plots are used to represent data using dots

The true statements about the dataset are:

  • The range of the number line should be 0 to 7 to represent the frequency.
  • Four families said they ate out twice the previous week.
  • One family said they ate out 5 times the previous week

The dataset is given as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

Rearrange in ascending order

0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 5, 6

Represent as a frequency table

Data     Frequency

0               2

1                2

2                4

3               0

4               2

5               1

6               1

See attachment for the dot plot

From the attachment, we can see that:

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  • 5 has a frequency of 1

Also, the range on the dot plot can be 0 to 7, because it covers the given dataset

Hence, the true statements are: (a), (b) and (c)

Read more about dot plots at:

brainly.com/question/21862696

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