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anyanavicka [17]
2 years 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]2 years 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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Answer:

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Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:  

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

The correlation coeffcient for this case was provided:

r =0.934

And this coefficient is very near to 1 the maximum possible value, so then we can interpret that the relationship between the entrace exam score and the grade point average are strongly linearly correlated .

We can also find the r^2 who represent the determination coefficient and we got:

r^2 = 0.934^2= 0.872

And the interpretation for this is that a linear model explains appproximately 87.2% of the variability between the two variables

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<h2>Answer:</h2>

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