Assume there is a certain population of fish in a pond whose growth is described by...

Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 1000 fish. Absent constraints, the population would grow by 240% per year. If the starting population is given by p 0 = 600 , then after one breeding season the population of the pond is given by p 1 = After two breeding seasons the population of the pond is given by p 2 =

A company's sales in Seattle were $410,000 in 2012, while their sales in Portland were $285,000 for the same year. Complete the following statements:

a. Seattle's sales were % larger than Portland's.
b. Portland sales were % smaller than Seattle's.
c. Portland sales were % of Seattle's.

Give answers accurate to at least one decimal place.

Sound travels about 750 miles per hour. If you stand in a canyon and sound a horn, you will hear an echo.

Suppose it takes about 2.5 seconds to hear the echo. How far away is the canyon wall, in feet?
feet

Now let's generalize that result. Suppose it takes n seconds to hear the echo. How far away is the canyon wall, in terms of n?
feet

Expert Solution

orchestra answered 1 year ago

Researchers used a standard fish seine to sample the fish population of Mason Pond. Most of...

Researchers used a standard fish seine to sample the fish population of Mason Pond. Most of these fish were bluegill (Lepomis macrochirus). Researchers removed fish from the seine and measured these fish on a fish board the boat. Researchers measured each fish to the nearest millimeter. Then, researchers measured all of the fish brought in by your seine, except for fish less than 15 mm. Size Category Observed Expected 15-35 mm 22 7.33 >35-55 mm 16 5.33 >55 mm...

In a certain population of fish, the lengths of the individual fish follow approximately a normal...

In a certain population of fish, the lengths of the individual fish follow approximately a normal distribu- tion with mean 54.0 mm and standard deviation 4.5 mm. We saw in Example 4.3.1 that in this situation 65.68% of the fish are between 51 and 60 mm long. Suppose a ran- dom sample of four fish is chosen from the population. Find the probability that (a) allfourfisharebetween51and60mmlong. (b) the mean length of the four fish is between 51 and 60 mm....

A population of fish in a lake follow a logistic growth model. With an initial growth...

A population of fish in a lake follow a logistic growth model. With an initial growth rate of 10%, an initial population of 50, and a carrying capacity of 500, how many fish will be in the pond after 5 years? Solve and graph the solution to this equation. Explain why this differential equation does or does not serve as a realistic model.

If a population of invasive fish can be described by the logistic equation, what effect would...

If a population of invasive fish can be described by the logistic equation, what effect would increasing the fish’s food availability have on K? Would K increase or decrease?

Harvesting Fish. A fish farmer has 5000 catfish in a pond. The number of catfish increases...

Harvesting Fish. A fish farmer has 5000 catfish in a pond. The number of catfish increases by 8% per month and the farmer harvests 420 catfish per month. a) (4 points) Find a recursive equation for the catfish population Pn for each month. b) (4 points) Solve the recursive equation to find an explicit equation for the catfish population. c) (3 points) How many catfish are in the pond after six months? d) (3 points) Is harvesting 420 catfish per...

In zebra fish, assume that a population is found that is polymorphic for a black spot...

In zebra fish, assume that a population is found that is polymorphic for a black spot at the base of the dorsal fin. Crosses determine that this is dominant to having no spot. In this population, 36% of all zebra fish have black fin spots. What is the frequency of the recessive allele?

suppose a manager of yalelo is observing the fish pond to determine when it will be...

suppose a manager of yalelo is observing the fish pond to determine when it will be ready for sale. let x represent the length of a single bream taken at random from the pond. the manager concludes that x has a normal distribution with mean of 10.2 millimeters and standard deviation of 1.4 milimeters. a. what is the probability that a single bream taken at random from the pond is between 8 and 12 millimeters long? b. what is the...

Assume that Globeworks is a constant growth company whose last dividend was $1.70 and whose dividend...

Assume that Globeworks is a constant growth company whose last dividend was $1.70 and whose dividend is expected to grow indefinitely at a 5.20% rate. What is the firm's expected dividend stream over the next 4 years? What is its current stock price? Assume a expected rate of return of 8.80%. a) What are the expected dividend yield, the capital gains yield, and the total return during the first year? b) Now assume that the stock is currently selling at...

Assume that the population of a town obeys Malthusian growth. Assume that the size of the...

Assume that the population of a town obeys Malthusian growth. Assume that the size of the population was 2000 in year 1900, and 50 000 in year 1950. (a) Find the value of the growth constant k. (b) How long does it take for the population to grow by 20%? (c) How big was the population in year 2000? (d) What was the rate of change of the population in year 2000? (e) Calculate the size of the population in...

1 For problems 1a through 1.c, assume that the length of a population of fish is...

1 For problems 1a through 1.c, assume that the length of a population of fish is normally distributed with population mean μ = 63 cm and population standard deviation σ = 9 cm. 1.a What proportion of the individual fish are longer than 76 cm? 1.b What proportion of the fish are between 42 and 84 cm long? 2 For problem 2.a through 2.c, assume that a population of automobile engines has a population mean useful life μ = 120,000...

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