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In 2019 , the population of the United Kingdom was approximately 66.7 million. According to a randomized poll, 
41% of the poll respondents approved of the country's leadership. If the poll participants were representative of the entire population of the United Kingdom, approximately how much of the population, in millions of people, approved of the country's leadership?
(Give your answer to the nearest tenth of a million. For example, if the answer is 11.2 million, enter 11.2.)

In 20192019, the population of the United Kingdom was approximately 6666.77 million. According to a randomized poll, 41% 41 \% of the poll respondents approved of the country's leadership. If the poll participants were representative of the entire population of the United Kingdom, approximately how much of the population, in millions of people, approved of the country's leadership?\newline(Give your answer to the nearest tenth of a million. For example, if the answer is 1111.22 million, enter 1111.22.)

Full solution

Q. In 20192019, the population of the United Kingdom was approximately 6666.77 million. According to a randomized poll, 41% 41 \% of the poll respondents approved of the country's leadership. If the poll participants were representative of the entire population of the United Kingdom, approximately how much of the population, in millions of people, approved of the country's leadership?\newline(Give your answer to the nearest tenth of a million. For example, if the answer is 1111.22 million, enter 1111.22.)
  1. Identify population and approval percentage: Identify the total population and the percentage that approved of the country's leadership.\newlineThe total population of the United Kingdom in 20192019 was 66.766.7 million, and 41%41\% of the poll respondents approved of the country's leadership.
  2. Calculate number of people who approved: Calculate the number of people who approved of the country's leadership.\newlineTo find this number, we multiply the total population by the percentage (in decimal form) that approved of the leadership.\newlineNumber of people who approved =Total population×Percentage approval= \text{Total population} \times \text{Percentage approval}\newlineNumber of people who approved =66.7 million×0.41= 66.7 \text{ million} \times 0.41
  3. Perform multiplication to find approved count: Perform the multiplication to find the number of people who approved.\newlineNumber of people who approved = 66.766.7 million ×0.41=27.347\times 0.41 = 27.347 million
  4. Round result to nearest tenth of a million: Round the result to the nearest tenth of a million.\newlineRounded number of people who approved = 27.327.3 million

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