Pi Many people know the math-ematical constant p is approximately 3.14. But that’s not exact. To bemore precise, here are 20 decimalplaces: 3.14159265358979323846.Still not exact, though. In fact, theactual value is irrational, a decimal that goes on forever without any re-peating pattern. But notice that there are no 0’s and only one 7 in the 20 decimal places above. Does that pat-tern persist, or do all the digits show up with equal frequency? The tableshows the number of times each digit appears in the first million dig-its. Test the hypothesis that the digits 0 through 9 are uniformly distributedin the decimal representation of p. The firstmillion digitsof PDigit Count0 99,9591 99,7582 100,0263 100,2294 100,2305 100,3596 99,5487 99,8008 99,9859 100,106
Pi Many people know the math-ematical constant p is approximately 3.14. But that’s not exact. To bemore precise, here are 20 decimalplaces: 3.14159265358979323846.Still not exact, though. In fact, theactual value is irrational, a decimal that goes on forever without any re-peating pattern. But notice that there are no 0’s and only one 7 in the 20 decimal places above. Does that pat-tern persist, or do all the digits show up with equal frequency? The tableshows the number of times each digit appears in the first million dig-its. Test the hypothesis that the digits 0 through 9 are uniformly distributedin the decimal representation of p. The firstmillion digitsof PDigit Count0 99,9591 99,7582 100,0263 100,2294 100,2305 100,3596 99,5487 99,8008 99,9859 100,106
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.5: Exponential And Logarithmic Equations
Problem 101E: Electric circuits An electric circuit contains a battery that produces a voltage of 60 volts V, a...
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Question
Pi Many people know the math-
ematical constant p is approximately
ematical constant p is approximately
3.14. But that’s not exact. To be
more precise, here are 20 decimal
places: 3.14159265358979323846.
Still not exact, though. In fact, the
actual value is irrational, a decimal
more precise, here are 20 decimal
places: 3.14159265358979323846.
Still not exact, though. In fact, the
actual value is irrational, a decimal
that goes on forever without any re-
peating pattern. But notice that there
peating pattern. But notice that there
are no 0’s and only one 7 in the 20
decimal places above. Does that pat-
tern persist, or do all the digits show
tern persist, or do all the digits show
up with equal frequency? The table
shows the number of times each
shows the number of times each
digit appears in the first million dig-
its. Test the hypothesis that the digits
its. Test the hypothesis that the digits
0 through 9 are uniformly distributed
in the decimal representation of p.
in the decimal representation of p.
The first
million digits
of P
Digit Count
0 99,959
1 99,758
2 100,026
3 100,229
4 100,230
5 100,359
6 99,548
7 99,800
8 99,985
9 100,106
million digits
of P
Digit Count
0 99,959
1 99,758
2 100,026
3 100,229
4 100,230
5 100,359
6 99,548
7 99,800
8 99,985
9 100,106
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