Mathematics: The percent of fat calories that a person in america consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. suppose that 16 individuals are randomly chosen. let x represent the average percent of calories in the sample. for the group 16, find the probability that the average percent of fat calories consumed is more than 37

The percent of fat calories that a person in america

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angel41583

24.09.2020

Mathematics

$\boxed{\text{5.238 h}}$

Step-by-step explanation:

Janet's rate is 1/10 order/h; Bill's rate is 1/11 orders/h.

Let t = the number of hours

The condition is:

Work done by Jane + work done by Bill = 1 order

$\begin{array}{rcl}\dfrac{t}{10} + \dfrac{t}{11} & = & 1\\\\\dfrac{11t+10t}{110}& = & 1\\\\21t & = & 110\\t & = & \textbf{5.238 h}\\\end{array}\\\text{Working together, they will fill the order in $\boxed{\textbf{5.238 h}}$}$

Check:

$\begin{array}{rcl}\dfrac{5.238}{10} + \dfrac{5.238}{11} & = & 1\\\\0.5238 + 0.4762 & = & 1\\1.0000 & = &1\\\end{array}$

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