How many four-digit numbers have "9 before g"?
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter56: Arcs And Angles Of Circles, Tangent Circles
Section: Chapter Questions
Problem 6A
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Question
![Name
### How many four-digit numbers have "9 before g">
### Find them using R
nb=0:9999; success=rep(0, length(nb)) # initialize
for (i in 1:9999){ 14=i
x4=floor(14/10^3); i3=14-10^3*x4
x3=floor(i3/10^2); i2=13-10^2*x3
x2=floor (i2/10^1); il=12-10^1*x2
x1=i1
if (x4==9){if (x3==0|x2=30|x1==0){success[i]=1} }
else(if (x3==9){if (x2==0|x1==0){success[i]=1} }
else{if (x2==9 & x1=30) {success[i]=1} } }
} # for
success=c(0, success)
nb90=nb[success=31]
nb90[1:20]
length(nb90)
### Write down a mathematical solution to the problem.
Explain to a memeber of the jury how you found the answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50dcc76c-8cd4-46ab-8681-5bc2ba1a603e%2F1197a74f-78e8-4e04-ac77-a590b53cac72%2Fsivrqcd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Name
### How many four-digit numbers have "9 before g">
### Find them using R
nb=0:9999; success=rep(0, length(nb)) # initialize
for (i in 1:9999){ 14=i
x4=floor(14/10^3); i3=14-10^3*x4
x3=floor(i3/10^2); i2=13-10^2*x3
x2=floor (i2/10^1); il=12-10^1*x2
x1=i1
if (x4==9){if (x3==0|x2=30|x1==0){success[i]=1} }
else(if (x3==9){if (x2==0|x1==0){success[i]=1} }
else{if (x2==9 & x1=30) {success[i]=1} } }
} # for
success=c(0, success)
nb90=nb[success=31]
nb90[1:20]
length(nb90)
### Write down a mathematical solution to the problem.
Explain to a memeber of the jury how you found the answer.
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