Answer:
56.42 minutes
Step-by-step explanation:
The initial sample= y0 = 800
After 13 minutes , amount = 320
Y= y0e-kt
320 = 800e-k(13)
320/800 = e-k13
0.4 = e-k13
In0.4 = -k13
-0.91629= -k13
0.07048= k
Y = 800e-0.07048t
Minutes when the bacterial present will be 15
15 = 800e-0.07048t
15/800= e-0.07048t
0.01875 = e-0.07048t
In 0.01875 = -0.07048t
-3.97656 = -0.07048t
-3.97656/-0.07048= t
56.42 = t
56.42 minutes
Answer:
or 
Step-by-step explanation:
The volume of a cylinder is calculated by the following formula
Where r is the radius of the cylinder and h is the height
In this case we know that the radius r of the base is:
and
So the Volume is:
4,003,052 is the answer to the problem
Answer:
x = a(c - b)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define Equation</u>
x/a + b = c
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract <em>b</em> on both sides: x/a = c - b
- Multiply <em>a</em> on both sides: x = a(c - b)
Step-by-step explanation:
Confidence interval = mean ± margin of error
CI = μ ± ME
The mean is μ = 8.7.
Margin of error = critical value × standard error
ME = CV × SE
At 95% confidence and 9 degrees of freedom, CV = 2.262.
SE = s / √n
SE = 3.3 / √10
SE = 1.04
The margin of error is:
ME = 2.262 × 1.04
ME = 2.36
CI = 8.7 ± 2.36
CI = (6.34, 11.06)
