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Section 7D

Section 7D

Assessment

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Mathematics

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Matthew Sievers

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4 Slides • 19 Questions

1

Section 7D

Assessing Risk

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Fill in the Blank

- U.S. data (2016 estimates):

car crash fatalities = 40,200;

car crash injuries = 4.6 million;

cost to society = $430 billion.

(Source: National Safety Council.)


9. About how often (once every x minutes or x seconds) on average is a person killed in a car crash in the United States? How often is a person injured in a car crash?


Once every _ minutes.

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car crash fatalities = 40,200

  •  40,200 deaths1 year×1 year365 days×1 day24 hours×1 hour60 miηutes\frac{40,200\ deaths}{1\ year}\times\frac{1\ year}{365\ days}\times\frac{1\ day}{24\ hours}\times\frac{1\ hour}{60\ mi\eta utes}  

  •  40,200 deaths525,600 miη=678761 death13.0746 min\frac{40,200\ deaths}{525,600\ mi\eta}=\frac{67}{876}\approx\frac{1\ death}{13.0746\ \min}  

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Fill in the Blank

- U.S. data (2016 estimates): car crash fatalities = 40,200;

car crash injuries = 4.6 million;

cost to society = $430 billion.

(Source: National Safety Council.)


9. About how often (once every x minutes or x seconds) on average is a person killed in a car crash in the United States? How often is a person injured in a car crash?


Once every _ seconds.

5

Fill in the Blank

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13.

a. Express the 1995 and 2015 fatality rates in deaths per 100 million vehicle-miles traveled.


_ deaths per 100 million vehicle-miles traveled in 1995.

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1995: 41,817 deaths per 2.4 trillion miles

  •  41,817 death2,400,000,000,000 miles=? deaths100,000,000 miles\frac{41,817\ death}{2,400,000,000,000\ miles}=\frac{?\ deaths}{100,000,000\ miles}  

  •  1.742375×108 deaths1 mile×100,000,000100,000,000=1.74 deaths100,000,000 miles\frac{1.742375\times10^{-8}\ deaths}{1\ mile}\times\frac{100,000,000}{100,000,000}=\frac{1.74\ deaths}{100,000,000\ miles}  

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Fill in the Blank

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13.

a. Express the 1995 and 2015 fatality rates in deaths per 100 million vehicle-miles traveled.


_ deaths per 100 million vehicle-miles driven in 2015.

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Fill in the Blank

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13.

b. Express the 1995 and 2015 fatality rates in deaths per 100,000 population.


_ deaths per 100,000 population in 1995.

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Fill in the Blank

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13.

b. Express the 1995 and 2015 fatality rates in deaths per 100,000 population.


_ deaths per 100,000 population in 2015.

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Fill in the Blank

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13.

c. Express the 1995 and 2015 fatality rates in deaths per 100,000 licensed drivers.


_ deaths per 100,000 licensed drivers in 1995.

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Fill in the Blank

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13.

c. Express the 1995 and 2015 fatality rates in deaths per 100,000 licensed drivers.


_ deaths per 100,000 licensed drivers in 2015.

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Open Ended

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13.

d. Are the changes in the three fatality rates from 1995 to 2015 that you found in parts (a)–(c) consistent with one another? Briefly comment on the general conclusions they suggest.

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Fill in the Blank

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15. a. Compute the accident rate per million hours flown in 2000 and 2015. By this measure, has travel on U.S. airlines become safer?


There were _ accidents per million hours flown in 2000.

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Fill in the Blank

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15. a. Compute the accident rate per million hours flown in 2000 and 2015. By this measure, has travel on U.S. airlines become safer?


There were _ accidents per million hours flown in 2015.

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Fill in the Blank

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15. b. Compute the accident rate per billion miles flown in 2000 and 2015. By this measure, has travel on U.S. airlines become safer?


There were _ accidents per billion miles flown in 2000.

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15. b. Compute the accident rate per billion miles flown in 2000 and 2015. By this measure, has travel on U.S. airlines become safer?


There were _ accidents per billion miles flown in 2015.

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Fill in the Blank

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19. If you lived in a typical U.S. city of 500,000, how many people would you expect to die of a stroke in a year?


The US population in 2015 was about 320.7 million.

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21. Estimate the death rate for 60- to 65-year-olds. Assuming there were about 14.2 million 60- to 65-year-olds, how many people in this bracket could be expected to die in a year?


(From the table: 11 deaths per 1,000 people)

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Fill in the Blank

27. High/Low U.S. Birth Rates. The highest and lowest birth rates in the United States in 2015 were in Utah and New Hampshire, respectively. Utah reported 51,154 births with a population of about 3.0 million people. New Hampshire reported 12,302 births with a population of about 1.3 million people. Use these data to answer the following questions.


a. On average, how many people were born each day of the year in Utah?

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Fill in the Blank

27. High/Low U.S. Birth Rates. The highest and lowest birth rates in the United States in 2015 were in Utah and New Hampshire, respectively. Utah reported 51,154 births with a population of about 3.0 million people. New Hampshire reported 12,302 births with a population of about 1.3 million people. Use these data to answer the following questions.


b. On average, how many people were born each day of the year in New Hampshire?

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Fill in the Blank

27. High/Low U.S. Birth Rates. The highest and lowest birth rates in the United States in 2015 were in Utah and New Hampshire, respectively. Utah reported 51,154 births with a population of about 3.0 million people. New Hampshire reported 12,302 births with a population of about 1.3 million people. Use these data to answer the following questions.


c. What was the birth rate in Utah in births per 100,000 people?


_births per 100,000 people.

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Fill in the Blank

27. High/Low U.S. Birth Rates. The highest and lowest birth rates in the United States in 2015 were in Utah and New Hampshire, respectively. Utah reported 51,154 births with a population of about 3.0 million people. New Hampshire reported 12,302 births with a population of about 1.3 million people. Use these data to answer the following questions.


d. What was the birth rate in New Hampshire in births per 100,000 people?


_births per 100,000 people.

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31. a. Make a table showing the percentage of Americans over age 65 between 1950 and 2015.

  •  12.7 seniors151 total pop0.084105 or 8.4%\frac{12.7\ seniors}{151\ total\ pop}\approx0.084105\ or\ 8.4\%  

  •  17.21790.096089 or 9.6%\frac{17.2}{179}\approx0.096089\ or\ 9.6\%  

  •  20.92030.1029556 or 10.3%\frac{20.9}{203}\approx0.1029556\ or\ 10.3\%  

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Section 7D

Assessing Risk

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