The numbers (in millions) of Americans speaking non-English languages at home are listed next. Language Spoken at Home Millions of Americans
Spanish 38.4
Chinese 3.0
Tagalog 1.6
Vietnamese 1.4
French 1.3
Korean 1.1
Other 15.2
If one individual is selected at random find the probability of the following events.
a. Individual speaks Spanish.
b. Individual speaks a language other than Spanish
c. Individual speaks Vietnamese or French
d. Individual speaks one of the other languages.

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step-by-step explanation:

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, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

h/o/e/s mad

step-by-step explanation:

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