Chance That Two Randomly Selected Americans Are a Different Race or Ethnicity There is a 55% 60 - 55. chance that two randomly selected Americans differ in 50 47 40 40 34 race or ethnicity. 30- 20 10 1980 1990 2000 2010 Year Diversity Index: Chance of Different Race or (0-100 scale) Ethnicity

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 22E
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The diversity index, from 0  to 100, measures the chance that two randomly selected people are a different race or ethnicity. The diversity index in the United States varies widely from region to region, from as high as 81 in Hawaii to as low as 11 in Vermont. The bar graph shows the national diversity index for the United States for four years in the period from 1980 through 2010.The data in the graph can be modeled by the formula
D = 0.005x2 + 0.55x + 34,
where D is the national diversity index in the United States x years after 1980. According to the formula, what was the U.S. diversity index in 2010? How does this compare with the index displayed by the bar graph?

Chance That Two Randomly Selected
Americans Are a Different Race
or Ethnicity
There is a 55%
60 -
55.
chance that two
randomly selected
Americans differ in
50
47
40
40
34
race or ethnicity.
30-
20
10
1980
1990 2000 2010
Year
Diversity Index: Chance of
Different Race or
(0-100 scale)
Ethnicity
Transcribed Image Text:Chance That Two Randomly Selected Americans Are a Different Race or Ethnicity There is a 55% 60 - 55. chance that two randomly selected Americans differ in 50 47 40 40 34 race or ethnicity. 30- 20 10 1980 1990 2000 2010 Year Diversity Index: Chance of Different Race or (0-100 scale) Ethnicity
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