Answer:
The mean is 21.12.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
In this question:
Mean:
The mean is 21.12.
<span>The volume of a sphere is V = 4/3 x pi x r^3
The rind volume is the difference of two spheres. The radius of the inner sphere volume is, r - .1 r or .9 r. So the volume of the rind is
V = 4/3 x pi x r^3 - 4/3 x pi (.9 r )^3
V = 4/3 x pi x r^3 - 4/3 x pi x (.9^3) x r^3
Implicitly differentiating both sides with respect to t yields:
V' = ( 4 x pi x r^2 x r' ) - ( 4 x pi x (.9^3) x r^2 x r' )
This equation define the rate of change of the rind volume with respect to time.
As defined in the problem, r' = 2
As well, after 5 weeks the radius will be r = 2 * 5 = 10
V' = (4 x pi x 10^2 x 2) - (4 x pi x (.9^3) x 10 x 2)
V' = (800 x pi) - (800 x pi x (.729))
V' = (800 x pi) (1 - .729)
V' = (800 x pi)(.271)
V' = 681.09 cubic centimeters
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Answer:
2√5
Step-by-step explanation:
Answer:
The population size is 55.9597 (≅ 56)
Step-by-step explanation:
Since the population of protozoa develops at a constant growth rate of 0.4416 per member per day.
Then;
Day 0 = 3
Day 1 = 3 + (3 x 0.4416) = 4.3248
Day 2 = 4.3248 + (4.3248 x 0.4416) = 6.2346
Day 3 = 6.2346 + (6.2346 x 0.4416) = 8.9878
Day 4 = 8.9878 + (8.9878 x 0.4416) = 12.9568
Day 5 = 12.9568 + (12.9568 x 0.4416) = 18.6785
Day 6 = 18.6785 + (18.6785 x 0.4416) = 26.9269
Day 7 = 26.9269 + (26.9269 x 0.4416) = 38.8178
Day 8 = 38.8178 + (38.8178 x 0.4416) = 55.9597
After eight days, the population size would be 55.9597 (≅ 56).
Answer: dy/dt 2y = 4
Explanation:
The differential equation can be found by taking the derivative of y with respect to t of both sides of this equation.
Derivative of y^2 becomes 2y * dy/dt.
4(t+1) can be distributed to equal 4t + 4.
Derivative of 4t + 4 becomes 4.
Therefore, a possible differential equation is dy/dt * 2y = 4. Can check by separating and integrating.