Math Problem Statement

In a certain survey of 1 comma 045 ​adults, 84​% reported having more than one television at home. Find the actual number of respondents corresponding to the given percentage. Question content area bottom Part 1 The number of adults who reported having more than one television at home is    enter your response here. ​(Round to the nearest integer as​ needed.)

Solution

To find the actual number of respondents who reported having more than one television at home, we can use the given percentage and the total number of adults surveyed.

The formula is:

Number of respondents=Total number of adults×(Percentage100)\text{Number of respondents} = \text{Total number of adults} \times \left( \frac{\text{Percentage}}{100} \right)

Given:

  • Total number of adults = 1,045
  • Percentage = 84%

Now, calculate the number of respondents:

Number of respondents=1,045×(84100)\text{Number of respondents} = 1,045 \times \left( \frac{84}{100} \right)

Number of respondents=1,045×0.84=877.8\text{Number of respondents} = 1,045 \times 0.84 = 877.8

Rounding to the nearest integer:

Number of respondents=878\text{Number of respondents} = 878

So, 878 adults reported having more than one television at home.

Would you like further clarification on the calculation? Feel free to ask if you have any questions.

Related Questions:

  1. How would the result change if the percentage were 75% instead of 84%?
  2. If 1,200 adults were surveyed with the same percentage, what would the number of respondents be?
  3. How would the number of respondents change if the percentage increased to 90%?
  4. What would happen if you rounded the result up instead of to the nearest integer?
  5. How do you calculate the percentage of people who did not report having more than one television?

Tip: Always make sure to round at the final step to avoid cumulative rounding errors in intermediate steps.

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Math Problem Analysis

Mathematical Concepts

Percentage
Proportions
Basic Arithmetic

Formulas

Number of respondents = Total number of adults × (Percentage / 100)

Theorems

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Suitable Grade Level

Grades 6-8