An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (1)
Calculate the percentage of men who prefer comedies: 55% .
Calculate the percentage of women who prefer dramas: 39% .
Calculate the percentage of people who prefer action films are men: 86% .
Calculate the percentage of men who prefer suspense films: 20% .
Calculate the percentage of people who prefer suspense films are men: 39% .
The true statements are: 39% of women prefer dramas and 86% of people who prefer action films are men.
Explanation
Analyze the problem and data We are given a table showing the film genre preferences of men and women. Our task is to verify the truthfulness of several statements regarding percentages calculated from this data.
Calculate percentage of men who prefer comedy First, let's calculate the percentage of people who prefer comedies that are men. The number of men who prefer comedy is 56, and the number of women who prefer comedy is 45. The total number of people who prefer comedy is 56 + 45 = 101. The percentage of men among those who prefer comedy is (56 / 101) * 100 = 55.45%. Rounding to the nearest whole number, we get 55%. The statement ' 28% of people who prefer comedies are men' is false.
Calculate percentage of women who prefer drama Next, let's calculate the percentage of women who prefer dramas. The number of women who prefer drama is 78. The total number of women surveyed is 15 + 45 + 78 + 62 = 200. The percentage of women who prefer drama is (78 / 200) * 100 = 39%. The statement ' 39% of women prefer dramas' is true.
Calculate percentage of men who prefer action Now, let's calculate the percentage of people who prefer action films that are men. The number of men who prefer action is 95, and the number of women who prefer action is 15. The total number of people who prefer action is 95 + 15 = 110. The percentage of men among those who prefer action is (95 / 110) * 100 = 86.36%. Rounding to the nearest whole number, we get 86%. The statement ' 86% of people who prefer action films are men' is true.
Calculate percentage of men who prefer suspense Let's calculate the percentage of men who prefer suspense films. The number of men who prefer suspense is 40. The total number of men surveyed is 95 + 56 + 9 + 40 = 200. The percentage of men who prefer suspense is (40 / 200) * 100 = 20%. The statement ' 39% of men prefer suspense films' is false.
Calculate percentage of men who prefer suspense among all suspense lovers Finally, let's calculate the percentage of people who prefer suspense films that are men. The number of men who prefer suspense is 40, and the number of women who prefer suspense is 62. The total number of people who prefer suspense is 40 + 62 = 102. The percentage of men among those who prefer suspense is (40 / 102) * 100 = 39.22%. Rounding to the nearest whole number, we get 39%. The statement ' 31% of people who prefer suspense films are men' is false.
Final Answer Therefore, the true statements are:
39% of women prefer dramas
86% of people who prefer action films are men
Examples
Understanding preferences in film genres can help production houses tailor their content to specific demographics, maximizing audience engagement and profitability. For example, knowing that a large percentage of women prefer dramas can lead to the creation of more female-oriented dramatic films. Similarly, identifying that a significant portion of action film enthusiasts are men can guide marketing strategies to target this demographic effectively.
