To get started, we will use the general formula for bacteria growth/decay problems:
where:
A_{f} = Final amount
A_{i} = Initial amount
k = growth rate constant
t = time
For doubling problems, the general formula can be shortened to:
Now, we can use the shortened formula to calculate the growth rate constant of both bacteria:
Colby (1):
per hour
Jaquan (2):
per hour
Using Colby's rate constant, we can use the general formula to calculate for Colby's final amount after 1 day (24 hours).
Note: All units must be constant, so convert day to hours.
Remember that the final amount for both bacteria must be the same after 24 hours. Again, using the general formula, we can calculate the initial amount of bacteria that Jaquan needs:
Answer: 36 cubic inches
Step-by-step explanation:
When using simulation models for random sampling, we can develop the margin of error by multiplying the critical value by the standard error.
<h3>What is the margin or error?</h3>
This is a measure of the error that we get when we use a random sampling model.
It can be found by the formula:
= Critical value x Standard error
If using a z-test, the critical value would be z and the standard error would be (σ / √n). The margin or error would therefore be:
= z (σ / √n)
Find out more on margin of error at brainly.com/question/24289590.
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Answer:
450m
Step-by-step explanation:
Area = πr²
50 = πr²
r = √50/π
so diameter = 2√50/π
which is = 7.98m to 3sf