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GaryK [48]
2 years ago
8

A machine fills 80 containers of cookies in 20 minutes. At the same rate, how many containers of cookies could the machine fill

in 8 hours?
Mathematics
2 answers:
Murrr4er [49]2 years ago
8 0

Answer: 1,920

Step-by-step explanation:

You would need to find how many containers of cookies they make in a hour which is 240 so than 240 times 8 is 1,920

Simora [160]2 years ago
4 0

Answer : The number of containers of cookies machine fill in 8 hours can be, 1920

Step-by-step explanation :

As we are given that a machine fills 80 containers of cookies in 20 minutes. Now we have to determine the number of containers of cookies could the machine fill in 8 hours.

First we have to convert minutes into hours.

As, 60 minutes = 1 hour

So, 20 minutes = \frac{20}{60}=\frac{1}{3} hour

Now we have to determine the number of containers of cookies could the machine fill in 8 hours.

As, in \frac{1}{3} hour the number of containers of cookies can machine fill = 80

As, in 8 hours the number of containers of cookies can machine fill = 8hr\times 3hr\times 80=1920

Therefore, the number of containers of cookies machine fill in 8 hours can be, 1920

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Step 2 of 2

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\begin{array}{c}\\\left( \begin{array}{l}\\{\rm{Positive Predictive }}\\\\{\rm{value}}\left( {PPV} \right)\\\end{array} \right) = \frac{{{\rm{Prevalence}} \times {\rm{Sensitivity}}}}{{\left( {{\rm{Prevalence}} \times {\rm{Sensitivity}}} \right) + \left( {{\rm{1 - Prevalence}} \times 1 - {\rm{Specificity}}} \right)}}\\\\ = \frac{{0.1 \times 0.60}}{{\left( {0.1 \times 0.60} \right) + \left( {1 - 0.1 \times 1 - 0.70} \right)}}\\\\ = \frac{{0.06}}{{0.33}}\\\\ = 0.181818\\\\ = 0.182{\rm{ }}\left( {{\rm{Round to 3 decimal place}}} \right)\\\end{array}  

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=   (0.1×0.60)/0.1×0.60  + (1−0.1×1−0.70) ​  

=    0.06 /0.33    

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(Positive Predictive  value, PPV) = 0.182 (3decimals)    

We have to convert the PPV into percentage,

\begin{array}{c}\\PPV = 0.182 \times 100\\\\ = 18.2\% \\\end{array}  

PPV=0.182×100

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