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Question: Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 100 bacteria.
(a) What is the size of the population after 15 hours?
(b) What is the size of the population after t hours?
(c) Estimate the size of the population after 20 hours.
(d) Graph the population function and estimate the time for the population to reach 50,000.
The business opened with a debt of $3400. After 3 years, it accumulated profit of $2700. Find the profit as a function of time t, knowing the profit function is linear.
A building is 50m high and its shadow on the ground is 92m long, find the angle of elevation of the building from the ground.
a certain type of light bulb has a life time can be represented by a normal distribution with a mean of 500 hours and a standard deviation of 100 hours
John and Mary are one of the married couples at the party. If Mary wins a prize, what is the conditional probability that John will win the other prize?
A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below.
How many of the bulbs should she plant next fall if she would like at least 88 to bloom?
write up a statistics problem that describes a single-factor design preferably involving unicorns glitter zombies
derive the simplified form of the recursion formula of eq. 86 for the case of s-independent fields. what is the
A farmer with 720 ft of fencing wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the three pens?
is it possible to write the volume of that box as a function of the size of the cut? if yes what is the domain of the volume function?
Standard Deviation of Expected Profits. Suppose that next year the U.S. will be in one of the following economic conditions: Boom, Moderate Growth, Recession, or Depression.
How long does it take the ball to reach the plate? Show and explain your work. c. What is the maximum height of the ball? When is the maximum height reached? Show and explain your work.
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