Hi!
Let's find how much bacteria it grows per hour.
2400 - 2000 = 400
bacteria per (divided by) hour
400/6 = 66.7
After 16 hours...
66.7 x 16 = 1067.2
Plus the original amount of bacteria
1067.2 + 2400 = 3467.2
The answer is 3067.2
Hope this helps! :)
-Peredhel
Answer:
Explained below.
Step-by-step explanation:
Consider the series is a set of first 6 natural numbers.
Sum of first <em>n</em> terms is:
Consider the series is an arithmetic sequence.
Sum of first <em>n</em> terms is:
![S_{n}=\frac{n}{2} [2a+(n-1)d]](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%20%5B2a%2B%28n-1%29d%5D)
Here<em>,</em>
<em>a</em> = first term
<em>d</em> = common difference
Consider the series is an geometric sequence.
Sum of first <em>n</em> terms is:
Here<em>,</em>
<em>a₁</em> = first term
<em>r</em> = common ratio
Using the Empirical Rule, it is found that her finishing time will be between 70 and 82 seconds in 95% of her races.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, the mean is of 76 seconds and the standard deviation is of 3 seconds, then:
76 - 2 x 3 = 70.
76 + 2 x 3 = 82.
Which means that values between 70 and 82 seconds are within 2 standard deviations of the mean, hence the percentage is of 95%.
More can be learned about the Empirical Rule at brainly.com/question/24537145
The simplest form of the algebraic expression is x^-4y^-8/x^12y^-12 (Option B)
<h3>
What is simplification?</h3>
The term simplification is mathematics refers to the depiction of the expression in its lowest possible format. In the simplest form, the expression can not be simplified further.
Now we have the original expression as;
(xy^2/x^-3y^3)
The only possible step in the expansion is to open up the bracket by the laws of indices and we get;
x^-4y^-8/x^12y^-12 (Option B)
Learn more about algebraic expression:brainly.com/question/953809
#SPJ1
That is the correct answer
