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3 years ago

Can you help me with this?

Mathematics

2 answers:

77julia77 [94]3 years ago

3 0

Answer:

the answer is a

Arturiano [62]3 years ago

3 0

let's firstly convert the mixed fractions to improper fractions, and then multiply.

$\bf \stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{5\frac{1}{2}}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}\cdot \cfrac{11}{2}\implies \cfrac{42}{2}\cdot \cfrac{11}{5}\implies 21\cdot \cfrac{11}{5}\implies \cfrac{231}{5}\implies 46\frac{1}{5}$

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tresset_1 [31]

Answer:

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b) $P(X$

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Step-by-step explanation:

For this case we have a random variable with the following parameters:

$X \sim N(\mu = 34, \sigma=2.5)$

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

$P(34 < X$

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And replacing we got

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$z= \frac{31.5-34}{2.5}= -1$

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