We read your photo as:

Calculate the percentages for each section of the Venn diagram.

Mathematics

ScanSolve AI Answer

Here's the solution to your problem.

Step 1: Calculate the percentages for each section of the Venn diagram.
Let MM be the set of people who ride motorcycles and SS be the set of people who ride scooters.
Given:

  • Percentage of people who ride motorcycles, n(M)=65%n(M) = 65\%
  • Percentage of people who ride scooters, n(S)=35%n(S) = 35\%
  • Percentage of people who ride both motorcycle and scooter, n(M∩S)=20%n(M \cap S) = 20\%

Percentage of people who ride motorcycles only:

n(M only)=n(M)−n(M∩S)=65%−20%=45%n(M \text{ only}) = n(M) - n(M \cap S) = 65\% - 20\% = 45\%

Percentage of people who ride scooters only:

n(S only)=n(S)−n(M∩S)=35%−20%=15%n(S \text{ only}) = n(S) - n(M \cap S) = 35\% - 20\% = 15\%

Percentage of people who ride at least one (motorcycle or scooter):

n(M∪S)=n(M only)+n(S only)+n(M∩S)=45%+15%+20%=80%n(M \cup S) = n(M \text{ only}) + n(S \text{ only}) + n(M \cap S) = 45\% + 15\% + 20\% = 80\%

Percentage of people who ride neither:

n(Neither)=100%−n(M∪S)=100%−80%=20%n(\text{Neither}) = 100\% - n(M \cup S) = 100\% - 80\% = 20\%

Step 2: Show the information in a Venn diagram.

i)

+-------------------------------------------------+
| Universal Set (100%)                            |
|                                                 |
|        +---------------------+                  |
|        |         M           |                  |
|        |    +---------+      |                  |
|        |    |         |      |                  |
|        |    |   45%   |      |                  |
|        |    |         |      |                  |
|        |    +---------+      |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |         |           |                  |
|        |
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QRecall the calculated values for each region of the Venn diagram from the previous solution.QIdentify the values for each distinct region in the Venn diagram.QDraw a Venn diagram to represent the information above.QRepresent the information on a Venn diagram.QIdentify the number of students in each distinct region of the Venn diagram.
Browse by topic:Discrete Math
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp