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What is the percent chance that a player selects exactly 3 winning numbers?

C ( 20 , 3 ) C ( 60 , 17 ) C ( 80 , 20 ) 12.49 %

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What is the percent chance that a player selects exactly 4 winning numbers?

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What is the percent chance that a player selects all 5 winning numbers?

C ( 20 , 5 ) C ( 60 , 15 ) C ( 80 , 20 ) 23.33 %

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What is the percent chance of winning?

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How much less is a player’s chance of selecting 3 winning numbers than the chance of selecting either 4 or 5 winning numbers?

20.50 + 23.33 12.49 = 31.34 %

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Real-world applications

Use this data for the exercises that follow: In 2013, there were roughly 317 million citizens in the United States, and about 40 million were elderly (aged 65 and over). United States Census Bureau. http://www.census.gov

If you meet a U.S. citizen, what is the percent chance that the person is elderly? (Round to the nearest tenth of a percent.)

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If you meet five U.S. citizens, what is the percent chance that exactly one is elderly? (Round to the nearest tenth of a percent.)

C ( 40000000 , 1 ) C ( 277000000 , 4 ) C ( 317000000 , 5 ) = 36.78 %

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If you meet five U.S. citizens, what is the percent chance that three are elderly? (Round to the nearest tenth of a percent.)

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If you meet five U.S. citizens, what is the percent chance that four are elderly? (Round to the nearest thousandth of a percent.)

C ( 40000000 , 4 ) C ( 277000000 , 1 ) C ( 317000000 , 5 ) = 0.11 %

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It is predicted that by 2030, one in five U.S. citizens will be elderly. How much greater will the chances of meeting an elderly person be at that time? What policy changes do you foresee if these statistics hold true?

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Chapter review exercises

Sequences and Their Notation

Write the first four terms of the sequence defined by the recursive formula a 1 = 2 , a n = a n 1 + n .

2 , 4 , 7 , 11

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Evaluate 6 ! ( 5 3 ) ! 3 ! .

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Write the first four terms of the sequence defined by the explicit formula a n = 10 n + 3.

13 , 103 , 1003 , 10003

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Write the first four terms of the sequence defined by the explicit formula a n = n ! n ( n + 1 ) .

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Arithmetic Sequences

Is the sequence 4 7 , 47 21 , 82 21 , 39 7 , ... arithmetic? If so, find the common difference.

The sequence is arithmetic. The common difference is d = 5 3 .

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Is the sequence 2 , 4 , 8 , 16 , ... arithmetic? If so, find the common difference.

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An arithmetic sequence has the first term a 1 = 18 and common difference d = 8. What are the first five terms?

18 , 10 , 2 , 6 , 14

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An arithmetic sequence has terms a 3 = 11.7 and a 8 = 14.6. What is the first term?

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Write a recursive formula for the arithmetic sequence 20 , 10 , 0 , 10 ,…

a 1 = 20 ,   a n = a n 1 + 10

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Write a recursive formula for the arithmetic sequence 0 ,   1 2 ,   1 ,   3 2 , , and then find the 31 st term.

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Write an explicit formula for the arithmetic sequence 7 8 ,   29 24 ,   37 24 ,   15 8 ,

a n = 1 3 n + 13 24

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How many terms are in the finite arithmetic sequence 12 , 20 , 28 , , 172 ?

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Geometric Sequences

Find the common ratio for the geometric sequence 2.5 ,   5 ,   10 ,   20 ,

r = 2

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Is the sequence 4 ,   16 ,   28 ,   40 , geometric? If so find the common ratio. If not, explain why.

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A geometric sequence has terms a 7 = 16 , 384 and a 9 = 262 , 144  . What are the first five terms?

4 ,   16 ,   64 ,   256 ,   1024

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A geometric sequence has the first term a 1 = 3 and common ratio r = 1 2 . What is the 8 th term?

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Questions & Answers

find the 15th term of the geometric sequince whose first is 18 and last term of 387
Jerwin Reply
I know this work
salma
The given of f(x=x-2. then what is the value of this f(3) 5f(x+1)
virgelyn Reply
hmm well what is the answer
Abhi
how do they get the third part x = (32)5/4
kinnecy Reply
can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
ninjadapaul
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
ninjadapaul
I don't understand what the A with approx sign and the boxed x mean
ninjadapaul
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
ninjadapaul
oops. ignore that.
ninjadapaul
so you not have an equal sign anywhere in the original equation?
ninjadapaul
hmm
Abhi
is it a question of log
Abhi
🤔.
Abhi
I rally confuse this number And equations too I need exactly help
salma
But this is not salma it's Faiza live in lousvile Ky I garbage this so I am going collage with JCTC that the of the collage thank you my friends
salma
Commplementary angles
Idrissa Reply
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
hii
Uday
hi
salma
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
Practice Key Terms 9

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Source:  OpenStax, College algebra. OpenStax CNX. Feb 06, 2015 Download for free at https://legacy.cnx.org/content/col11759/1.3
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