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stira [4]
3 years ago
13

Identify axis of symmetry

Mathematics
2 answers:
astraxan [27]3 years ago
5 0
Axis of symmetry: x=3
Alchen [17]3 years ago
3 0

Answer:

x = 3

Step-by-step explanation:

The axis of symmetry is a vertical line passing through the vertex and midway between the zeros.

The zeros are x = 2 and x = 4

midway = \frac{2+4}{2} = \frac{6}{2} = 3

Equation of axis of symmetry is x = 3

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Week 1:                                              Week 2:
Student - Hours                                 Student - Hours<span>
Bob          19                                       </span>Bob          23<span>
James      10                                      </span>James       14<span>
Karen       15                                       </span>Karen       19<span>
Rosario    17                                        </span>Rosario    21<span>
Antoine    10                                       </span>Antoine    14<span>
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Maria        13                                       </span>Maria        17<span>

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Week 2: (23 + 14 + 19 + 21 + 14 + 20 + 17)/7 = 128/7 = 18.28
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The median is the middle value. To calculate, first rearrange values from the lowest to the highest and then find the middle value:
Week 1: 10, 10, 13, 15, 16, 17, 19            - The median is 15.
Week 2: 14, 14, 17, 19, 20, 21, 23          - The median is 19.
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The mode is the value that occurs most frequently.
</span>Week 1: 10, 10, 13, 15, 16, 17, 19            - The mode is 10.
Week 2: 14, 14, 17, 19, 20, 21, 23          - The mode is 14.
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Week 1: 10, 10, 13, 15, 16, 17, 19            - The range of times is 9 (19 - 10 = 9).
Week 2: 14, 14, 17, 19, 20, 21, 23          - The median is 9 (23 - 14 = 9).
The difference in the ranges of times between Week 2 and Week 1 is 0 (9 - 9 = 0)
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