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anyanavicka [17]
1 year ago
11

“there are several approximations used for pi, including 3.14 and 22/7. pi is approximately 3.14159265358979..." a. label pi and

the two approximations on the number line. «–-|———|———|———|———|———|———|—» 3.140 3.141 3.142 3.143 b. which of the two approximations is a better estimate for pi? explain. ________________________________________________________ c. find a whole number x in x/113 so that the ratio is a better estimate for pi than the two given approximations. ____________________________________
Mathematics
1 answer:
BlackZzzverrR [31]1 year ago
6 0
Hello,

a) | |PA|-π |>| |PB|-π | (see pic)

c) 3.14< x/113 <=π <22/7

==>3.14*113<x<22/7 * 113
==>354.82 <x < 355.14285
==>x=355


Answer 355/113=3,1415929203539823008849557522124



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Solution to the problem

For this case assuming that the random variable is X

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And replacing n = 24 we got:

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And we notate the distribution we got: X \sim t_{n-1}= t_{23}

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