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MrRissso [65]
3 years ago
9

Write an equivalent expression for 1/ y-1/4 using positive exponents

Mathematics
1 answer:
emmainna [20.7K]3 years ago
7 0

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{1}{~~y^{-\frac{1}{4}}~~}\implies y^{\frac{1}{4}}

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Answer:

z = \frac{981.7 -997}{\frac{62}{\sqrt{73}}}= -2.108

And we can use the normal standard distribution table or excel and with the complement ruler we got:

P(z>-2.108) =1- P(z

Step-by-step explanation:

We know the following info given:

\mu = 997 represent the true mean

\sigma = \sqrt{3844}= 62 represent the population deviation

n = 73 represent the sample size selected

Since the sample size is large enough (n>30) we can use the central limit theorem and the sample mean would have the following distribution:

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And for this case we want to find this probability:

P(\bar X >981.7)

And we can use the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{981.7 -997}{\frac{62}{\sqrt{73}}}= -2.108

And we can use the normal standard distribution table or excel and with the complement ruler we got:

P(z>-2.108) =1- P(z

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