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arsen [322]
2 years ago
7

Under certain conditions, the number of bacteria present in a colony is approximated by f(t) = Age 0.023t, where t is in minutes

. If A = 2,700,000, find the number of bacteria present at 5 minutes, 10 minutes, and 60 minutes.
Mathematics
1 answer:
AleksandrR [38]2 years ago
8 0

Answer:

  • 5 min: 3,029,058
  • 10 min: 3,398,220
  • 60 min: 10,732,234

Step-by-step explanation:

The given function is evaluated by substituting the given values of t. This requires using the exponential function of your calculator with a base of 'e'. Many calculators have that value built in, or have an e^x function (often associated with the Ln function).

__

<h3>5 minutes</h3>

The number of bacteria present after 5 minutes is about ...

  f(5) = 2.7×10^6×e^(0.023×5) ≈ 3,029,058

<h3>10 minutes</h3>

The number of bacteria present after 10 minutes is about ...

  f(10) = 2.7×10^6×e^(0.023×10) ≈ 3,398,220

<h3>60 minutes</h3>

The number of bacteria present after 60 minutes is about ...

  f(60) = 2.7×10^6×e^(0.023×60) ≈ 10,732,234

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Find the values of the 30th and 90th percentiles of the data. Please show your work.
MaRussiya [10]

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= 100,100,105,113,129,132,146,176,200

The 30th percentile is located at

(\frac{30}{100}\times 10 )} -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = \frac{105+113}{2}=\frac{218}{2}=109

The 90th percentile is located at

(\frac{90}{100}\times 10 )} -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = \frac{176+200}{2}=\frac{376}{2}=188

6 0
3 years ago
State the restrictions on the domain.
mihalych1998 [28]

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8 0
2 years ago
2 Mayra is a caterer and charges $75 per plate plus a
dimulka [17.4K]

Answer:

$11,280

Step-by-step explanation:

Plug in 150 as p into the equation to solve for the cost, C:

C = 30 + 75p

C = 30 + 75(150)

C = 30 + 11,250

C = 11,280

= $11,280

5 0
3 years ago
A home business has an average income of $900.00 per month with a standard deviation of $15.00. If the income in a given month i
Llana [10]
Answer = 2.00

Z score is a statistical that corresponds to the standardization of the regular score to a normal distribution

The formula for Z score is Z = [X - mean ]./ (standard deviation)

Here X = 930.00; mean = 900.00; and standard deviation = 15.00

Then, Z = [930.00 - 900.00] / 15.00 = 30.00 / 15.00 = 2.00

Therefore, your answer is 2.00

Hope I helped :)
3 0
3 years ago
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