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aleksandr82 [10.1K]
3 years ago
6

A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 5 had a mispriced item. If 1,0

00 people go to this store each day, how many people would you expect to have a mispriced item?
You would expect there to be people per day who have a mispriced item.
Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

100

Step-by-step explanation:

1000/50 = 20

5*20 = 100

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Step-by-step explanation:

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erastova [34]
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8 0
3 years ago
In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population
Semenov [28]

Answer:

The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

y=a(1+r)^{t}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>t</em> = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of <em>r</em> as follows:

y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145

Now, compute the time it will take the population to grow to 800 insects as follows:

800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17

Thus, the time it will take the population to grow to 800 insects is 17 days.

7 0
3 years ago
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