whitney is in charge of planning the music for her schools fall dance. she asked some students if they…

whitney is in charge of planning the music for her schools fall dance. she asked some students if they prefer rock music or country music. this table shows the results.\n| | rock music | country music | total |\n|--|--|--|--|\n| girls | 29 | 42 | 71 |\n| boys | 50 | 39 | 89 |\n| total | 79 | 81 | 160 |\nwhat percentage of the boys surveyed prefer country music? round your answer to the nearest tenth of a percent.\n%

whitney is in charge of planning the music for her schools fall dance. she asked some students if they prefer rock music or country music. this table shows the results.\n| | rock music | country music | total |\n|--|--|--|--|\n| girls | 29 | 42 | 71 |\n| boys | 50 | 39 | 89 |\n| total | 79 | 81 | 160 |\nwhat percentage of the boys surveyed prefer country music? round your answer to the nearest tenth of a percent.\n%

Answer

Explanation:

Step1: Identify the number of boys preferring country music.

From the table, the number of boys who prefer country music is 39.

Step2: Identify the total number of boys surveyed.

From the table, the total number of boys surveyed is 89.

Step3: Calculate the proportion of boys preferring country music.

Proportion = $\frac{\text{Number of boys preferring country music}}{\text{Total number of boys}}$ $$ \text{Proportion} = \frac{39}{89} $$

Step4: Convert the proportion to a percentage.

Percentage = Proportion $\times 100%$ $$ \text{Percentage} = \frac{39}{89} \times 100% $$

Step5: Calculate and round the percentage.

Calculate the value and round to the nearest tenth of a percent. $$ \text{Percentage} \approx 0.4382022 \times 100% \approx 43.82022% $$ Rounding to the nearest tenth gives $43.8%$.

Answer:

$43.8%$