Question

A country has a population of 11.3 million. There were 4,172 new construction accidents (deaths) in 2015. Express the deaths per capita as a decimal. Round to 6 decimal places. Express the deaths per capita in Scientific Notation. Express the deaths per capita as a per 100,000 value and use this value in a sentence. The United States has a population of about 330 million. If our deaths were proportional to that of this country, how many deaths would we expect in the United States due to construction accidents? Round to the nearest person.

Answer 1

Answer:

1) 0.000369 deaths per capita

2) 3.692×10⁻⁴ deaths per capita in scientific notation

3) 36 deaths per 100,000 people

4) 121,837

Step-by-step explanation:

1) The population of the country = 11.3 million

The number of new construction accidents (deaths) in 2015 = 4,172

The number of deaths per capita for the country is therefore;

Per capita death = Number of deaths/(County's population)

Per capita death = 4,172/(11.3 million) = 4,172/11,300,000 =  0.000369 deaths per capita to 6 decimal places

2) Expressing the deaths per capita in scientific notation, we have;

0.000369 deaths per capita = 3.692×10⁻⁴ deaths per capita

3) Expressing the deaths per capita as a per 100,000 value, we have;

100,000 × 4,172/11,300,000 ≈ 36.92 deaths per 100,000 people which is (by rounding down) approximately 36 deaths per 100,000 people

4) With a population of 330 million and proportional amount of deaths, we have;

330 million × 4,172/11,300,000 = 121,837.168 deaths which we round down to 121,837 deaths