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defon
3 years ago
6

(08.01)Maggie wants to know how many students in her school enjoy watching sports on TV. She asks all 25 students in her math cl

ass and finds that 60% of her classmates enjoy watching sports on TV. She claims that 60% of the school's student population would be expected to enjoy watching sports on TV. Is Maggie making a valid inference about her population?
Yes, it is a valid inference because she asked all 25 students in her math class
Yes, it is a valid inference because her classmates make up a random sample of the students in the school
No, it is not a valid inference because her classmates do not make up a random sample of the students in the school
No, it is not a valid inference because she asked all 25 students in her math class instead of taking a sample from her geography class

I think maybe C or A because we dont know how many students there were total.
Mathematics
2 answers:
Elodia [21]3 years ago
4 0
C because the students were not pulled at random

Alona [7]3 years ago
3 0

C. The 25 students don't make up a random sample. She asked a certain group of people when she should have wrote names down and pulled them from a hat and ran a simulation to get the best inference.

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Answer:

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Step-by-step explanation:

The Maclaurin series of a function f(x) is the Taylor series of the function of the series around zero which is given by

f(x)=f(0)+f^{\prime}(0)x+f^{\prime \prime}(0)\dfrac{x^2}{2!}+ ...+f^{(n)}(0)\dfrac{x^n}{n!}+...

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Now, if we compute the n-th derivative at 0 we get

f(0)=\ln(1+2\cdot 0)=\ln(1)=0\\\\f^{\prime}(0)=2 \cdot 1 =2\\\\f^{(2)}(0)=2^{2}\cdot(-1)\\\\f^{(3)}(0)=2^{3}\cdot (-1)^2\cdot 2\\\\...\\\\f^{(n)}(0)=2^n\cdot(-1)^{(n-1)}\cdot (n-1)!

and so the Maclaurin series for f(x)=ln(1+2x) is given by

f(x)=0+2x-2^2\dfrac{x^2}{2!}+2^3\cdot 2! \dfrac{x^3}{3!}+...+(-1)^{(n-1)}(n-1)!\cdot 2^n\dfrac{x^n}{n!}+...\\\\= 0 + 2x -2^2  \dfrac{x^2}{2!}+2^3\dfrac{x^3}{3!}+...+(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}+...\\\\=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^n\dfrac{x^n}{n}

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Given the function f(x);

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undefined

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