It took Laura 12.5 hours to read a 360 page book, how long would it take for her to read a 400 page book?

1 answer:

3 0

$\bf \begin{array}{ccll} hours&pages\\ \cline{1-2} 12&360\\ x&400 \end{array}\implies \cfrac{12}{x}=\cfrac{360}{400}\implies \cfrac{12}{x}=\cfrac{9}{10} \\\\\\ 120=9x\implies \cfrac{120}{9}=x\implies \cfrac{40}{3}=x\implies 13.\overline{3}=x$

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Step-by-step explanation:

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66.48% of full-term babies are between 19 and 21 inches long at birth

Step-by-step explanation:

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Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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This means that $\mu = 20.5, \sigma = 0.9$