We read your photo as:

Draw a pie chart to illustrate the information about votes, and calculate the percentage of votes the winner obtained.

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps

here's the solution to question 4:

Part i· 2 steps

Draw a pie chart to illustrate the information.

To draw a pie chart, we first need to find the total number of votes and then calculate the angle for each party's votes.

  1. Calculate the total number of votes.

    Total votes = Votes for A + B + C + D + E

    Total votes=14+11+19+52+24=120\text{Total votes} = 14 + 11 + 19 + 52 + 24 = 120

  2. Calculate the angle for each party in the pie chart.

    The angle for each party is given by (Number of votes for party/Total votes)×360∘(\text{Number of votes for party} / \text{Total votes}) \times 360^\circ.

    • Party A:
    14120×360∘=14×3∘=42∘\frac{14}{120} \times 360^\circ = 14 \times 3^\circ = 42^\circ
    • Party B:
    11120×360∘=11×3∘=33∘\frac{11}{120} \times 360^\circ = 11 \times 3^\circ = 33^\circ
    • Party C:
    19120×360∘=19×3∘=57∘\frac{19}{120} \times 360^\circ = 19 \times 3^\circ = 57^\circ
    • Party D:
    52120×360∘=52×3∘=156∘\frac{52}{120} \times 360^\circ = 52 \times 3^\circ = 156^\circ
    • Party E:
    24120×360∘=24×3∘=72∘\frac{24}{120} \times 360^\circ = 24 \times 3^\circ = 72^\circ

    The pie chart would be drawn with sectors corresponding to these angles:
    Party A: 42∘\boxed{42^\circ}
    Party B: 33∘\boxed{33^\circ}
    Party C: 57∘\boxed{57^\circ}
    Party D: 156∘\boxed{156^\circ}
    Party E: 72∘\boxed{72^\circ}

Part ii· 2 steps

What percentage of the total votes did the winner obtain?

  1. Identify the winner.

    The winner is the party with the highest number of votes.
    Comparing the votes: A (14), B (11), C (19), D (52), E (24).
    Party D has the highest number of votes (52), so Party D is the winner.

  2. Calculate the percentage of votes for the winner.

    Percentage for winner=Winner’s votesTotal votes×100%\text{Percentage for winner} = \frac{\text{Winner's votes}}{\text{Total votes}} \times 100\% Percentage for winner=52120×100%\text{Percentage for winner} = \frac{52}{120} \times 100\% Percentage for winner=1330×100%\text{Percentage for winner} = \frac{13}{30} \times 100\% Percentage for winner=130030%=1303%\text{Percentage for winner} = \frac{1300}{30}\% = \frac{130}{3}\% Percentage for winner=43.33% (to 2 decimal places)\text{Percentage for winner} = 43.33\% \text{ (to 2 decimal places)}

    The winner obtained 43.33%\boxed{43.33\%} of the total votes.

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

QDraw a pie chart for the above information. 4. In an election, the number of votes won by five…QPie Chart A has percentages summing to 110%. Solve common questions given this inconsistency and Pie…QRepresent the given data about students' favorite games and languages using pie charts. Calculate…QApart from pie charts, what statistical methods can represent data? Calculate angles for a pie chart…QDraw a pie chart to indicate THREE biomes which constitute the highest percentage
Browse by topic:StatisticsPre-Algebra
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