The country of Honduras has a population of 8.2 million. There were 7,172 homicide deaths there in 2014. Express the deaths per capita as a decimal rounded to 6 decimal places.

Express the deaths per capita in Scientific Notation.

Type your answer as though you were typing it into your calculator--either with "E" or "x10^" notation-- no spaces in your answer!

The United States has a population of about 320 million. If our homicide deaths were proportional to that of Honduras, how many deaths would we expect in the

a)Express the death per capita as a decimal rounded to 6 decimal places

0.000875 death per capita

b) Express the death per capita in Scientific notation

8.75 × 10^-4 death per capita

c) 279883 deaths

Step-by-step explanation:

a) Express the death per capita as a decimal rounded to 6 decimal places

The formula for Death Per capita is given as

Number of deaths/ Total population

Measurement : 7172 homicide deaths

Total population : 8.2 millon= 8,200,000

Death per capita = 7172/8200000

Death per capita = 0.00087463414 death per capita.

Approximately to 6 decimal places

= 0.000875 death per capita.

b) Express the death per capita in Scientific notation

The death per capita = 0.000875

In Scientific notation = 8.75 × 10^-4 death per capita

c) The United States has a population of about 320 million. If our homicide deaths were proportional to that of Honduras, how many deaths would we expect in the United States due to homicides? Round to the nearest person.

Measurement : 7172 homicide deaths

Total population : 8.2 millon= 8,200,000

The United States has a population of about 320 million

Death per capita in Honduras : Death per capita in United States

7172/8200000 : x/320,000,000

7172/8,200,000 = x/320,000,000

Cross Multiply

7172 × 320,000,000 = 8,200,000 × x

x = 7172 × 320,000,000/8,200,000

x = 279882.926829 deaths

Approximately to the nearest person = 279883 deaths

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.