On a college campus of 5000 students, the spread of flu virus through the student is modeled by P(t) = 5000/1+4999e^(-0.8t) , where P is the number of students infected after t days. Will all students on the campus be infected with the flu? After how many days is the virus spreading the fastest?

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: (-1)^ dx n= (2n+1)!

A:

Q: the year 2000, the population of a small city was 42,000. The population grows at a rate of r(t) =…

A: Given population growth rate function is f(x)=1300 e (0.03t) where t is time in years after 2000.

Q: Twelve pounds of the element plutonium is released in a nuclear accident. The amount of plutonium P…

A:

Q: 3^e(x+2)=21

A:

Q: The rate of residential electricity consumption (in billions of kilowatt hours (kWh) per year) of a…

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Q: Solve for x using sci notation (2x)(2x) / (0.2) = 1.4 x 10^-5

A: In scientific notation, numbers like 0.0000053 will be written as 5.3x10-6

Q: It is projected that, t years after the start of the 2020, the population of city will be…

A:

Q: Find x 8+e^1-4x=20

A: 8 + e1-4x = 20 e1-4x = 12

Q: 5x/(x^1/3)(y^2/3)

A: Given expression is

Q: e^(x+7)=4

A: To determine the value of x.

Q: Statistics complied by the local department of corrections indicate that x years from now the number…

A:

Q: P(t)=700e^0.03t When will the insect population reach 1120 insects? When will the population double?

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!