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A 6-column table with 3 rows. Column 1 has entries females, males, total. Column 2 is labeled Jazz with entries 50, blank, 58. Column 3 is labeled Country with entries blank, 30, 65. Column 4 is labeled Rock with entries 42, blank, 70. Column 5 is labeled Rap with entries blank, 48, blank. Column 6 is labeled Total with entries blank, blank, 250.

Two hundred and fifty people were asked if they prefer jazz, country, rock, or rap music. They were only allowed to choose one favorite. Partial results are shown in the table. F is for Females, M is Males, and T is for Total.


How many females did not choose rap music?
ANSWER:127

User Berik
by
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2 Answers

5 votes

Answer:

127

Explanation:

User Austinheiman
by
4.9k points
6 votes

To determine how many females did not choose rap music, the number of females who chose jazz, country, and rock were subtracted from the total number of females (184), which was derived from the total population minus the total number of males. The number of females who did not choose rap music is 57.

To find out how many females did not choose rap music, we need to calculate the number of females who chose the other three music genres (jazz, country, rock) and subtract it from the total number of females. The given table provides partial information on music preferences based on gender, but we can use the total counts to fill in the missing values.

  • Total people surveyed: 250
  • Total preferring jazz: 58
  • Total preferring country: 65
  • Total preferring rock: 70
  • Females preferring jazz: 50
  • Males preferring country: 30
  • Females preferring rock: 42

First, let's calculate the number of males preferring jazz:

Males preferring jazz = Total preferring jazz - Females preferring jazzMales preferring jazz = 58 - 50 = 8

Now, the total number of males:

  • Total males = Total people - Total females
  • Since this information is not provided directly, we need to use the other information to find it.

The total number of males preferring jazz, country, and rock is:

  • Males preferring jazz + Males preferring country + Males preferring rock = Total males
  • 8 (jazz) + 30 (country) + (Total males - 8 - 30) (rock) = Total males
  • 38 + (Total males - 38) = Total males
  • Therefore, Total males preferring rock is the number we need to find.

From the rock column, we know that the total number of people preferring rock is 70, so:

  • Total males preferring rock = 70 - Females preferring rock
  • Total males preferring rock = 70 - 42 = 28

Now, we can find the total number of males:

  • Total males = 8 (jazz) + 30 (country) + 28 (rock)
  • Total males = 66

Therefore, the number of females is:

  • Total females = Total people - Total males
  • Total females = 250 - 66 = 184

Finally, we can find the number of females that did not choose rap by subtracting the number of females who chose jazz, country, and rock from the total number of females:

  • Number of females not choosing rap = Total females - (Females preferring jazz + Females preferring country + Females preferring rock)
  • However, the number of females preferring country is still unknown. We can calculate it as follows:
  • Females preferring country = Total preferring country - Males preferring country
  • Females preferring country = 65 - 30 = 35
  • Number of females not choosing rap = 184 - (50 + 35 + 42)
  • Number of females not choosing rap = 184 - 127 = 57

Therefore, the answer to the question - How many females did not choose rap music? - is 57.

User Asmoun
by
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