x = 4Rearrange:Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
1/8*x-(1/2)=0
Step by step solution :Step 1 : 1 Simplify — 2Equation at the end of step 1 : 1 1 (— • x) - — = 0 8 2Step 2 : 1 Simplify — 8Equation at the end of step 2 : 1 1 (— • x) - — = 0 8 2Step 3 :Calculating the Least Common Multiple : 3.1 Find the Least Common Multiple
The left denominator is : 8
The right denominator is : 2
the answer is 4
a)
because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.
b)
because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).
Answer:
A
Step-by-step explanation:
The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)
<h3>How to calculate Exponential Growth?</h3>
The formula for exponential growth is;
P = P₀e^(rt)
where;
P = current population at time t
P₀ = starting population
r = rate of exponential growth/decay
t = time after start
Thus, from our question we have;
4500 = 1500 * e^(r * 1)
4500/1500 = e^r
e^r = 3
In 3 = r
r = 1.0986
Thus, the function that represents the growth of this culture of bacteria as a function of time is;
P = 1500e^(1.0986t)
For the culture to double, then;
P/P₀ = 2. Thus;
e^(1.0986t) = 2
In 2 = 1.0986t
t = 0.6931/1.0986
t = 0.631 hours
Read more about Exponential Growth at; brainly.com/question/27161222
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