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rewona [7]
2 years ago
7

A-One Talent Agency has 108 clients. 42 of the clients play piano and 51 of the clients play guitar.

Mathematics
1 answer:
Butoxors [25]2 years ago
7 0

Thwre are 28 clients who don not play any of the instrument using the principle of Venn distribution.

<u>Using a Venn diagram analogy</u> :

  • Total number of client, U = 108
  • Piano, P = 42
  • Guitar, G = 51
  • Piano and Guitar, (PnG) = 13
  • None =?

<u>From the information given</u> :

  • P only = 42 - 13 = 29
  • G only = 51 - 13 = 38

<u>The total number of clients can be related thus</u> :

  • Total = P only + G only + PnG + None

108 = 29 + 38 + 13 + None

108 = 80 + None

None = 108 - 80

None = 28

Therefore, the number of clients who do not play any of the instruments is 28

Learn more :brainly.com/question/12570490

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The answer is the mean, mode, and median increases by 4, the range of times is the same.

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>
Julio         16                                       </span>Julio         20<span>
Maria        13                                       </span>Maria        17<span>

The mean is the sum of all values divided by the number of values:
Week 1: (19 + 10 + 15 + 17 + 10 + 16 + 13)/7 = 100/7 = 14.28
Week 2: (23 + 14 + 19 + 21 + 14 + 20 + 17)/7 = 128/7 = 18.28
The difference in means between Week 2 and Week 1 is 4 (18.28 - 14.28 = 4)

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.
The difference in medians between Week 2 and Week 1 is 4 (19 - 15 = 4)

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.
The difference in modes between Week 2 and Week 1 is 4 (14 - 10 = 4)

The range of times is the difference between the highest and the lowest value.
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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y + 3 = \frac{2}{3} (x - 5 ) ← in point-slope form


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