3 years ago

What is the solution of the system of equations?

Mathematics

1 answer:

nirvana33 [79]3 years ago

7 0

583939485933094939392....../

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Answer:

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Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 268 days

Standard Deviation, σ = 15 days

We are given that the distribution of lengths of pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

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P(pregnancy between 266 days and 268 days)

$P(266 \leq x \leq 268) = P(\displaystyle\frac{266 - 268}{\frac{15}{8}} \leq z \leq \displaystyle\frac{268-268}{\frac{15}{8}}) = P(-1.0667 \leq z \leq 0)\\\\= P(z \leq 0) - P(z < -1.067)\\= 0.5000 - 0.1431 = 0.3569 = 35.69\%$

$P(266 \leq x \leq 268) = 35.69\%$

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