A small math department has five faculty members and 40 students. The department can send six people to a national convention, and it would like to send four students and two faculty members. Of the 40 students, four are selected randomly. Two faculty members are randomly selected from the five. This is an example of:

Select one:

voluntary response sampling.

a census.

simple random sampling.

stratified random sampling.

The researchers who developed predator prey models that accounted for resource limitations experienced by the prey. The correct answer is d. Rotondweig and MacArthur.

Rotondweig and MacArthur are the researchers who developed predator-prey models that considered the resource limitations experienced by the prey. Their models built upon the earlier work of Gause, Verhulst, and other researchers in population ecology. Rotondweig and MacArthur's models improved upon earlier models by incorporating the concept of limited resources and their effect on prey population dynamics.
The predator-prey models created by Rotondweig and MacArthur consider how the availability of resources influences the interactions between predators and their prey. In these models, the prey's population growth is regulated not only by the predation rate but also by the carrying capacity of their environment, which is determined by the availability of resources. As a result, their models provide a more realistic representation of natural ecosystems.
To summarize, the researchers responsible for developing predator-prey models that accounted for resource limitations experienced by the prey are Rotondweig and MacArthur. Their models improved upon earlier work by incorporating the concept of limited resources and their effect on prey population dynamics.

for more questions on predator

https://brainly.com/question/10438912

#SPJ11

Answer: -2/11

Step-by-step explanation:

The vertical change is represented by the equations x = - 2y - 5, y = 10 - 2x and 2x + y = 4.

The equation is given as:

y = - 2 x - 1

For vertical change, there should be a change in the y axis coordinate.

A)

y = - 4 x - 2

y = 2 (- 2 x - 1)

No vertical change

B)

y = - 2x

No vertical change

C)

x = - 2y - 5

Vertical change is there.

D)

y = 10 - 2x

y = - 2 x - 1 + 11

y - 11 = - 2 x - 1

Vertical change is there.

E)

y = 2x + 1

y = - 1 ( - 2 x - 1)

No vertical change

F)

2x + y = 4

y = - 2 x + 4

y = - 2 x - 1 + 5

y - 5 = - 2 x - 1

Vertical change is there.

Therefore, we get that, the vertical change is represented by the equations x = - 2y - 5, y = 10 - 2x and 2x + y = 4.

Learn more about vertical change here:

https://brainly.com/question/26246140

#SPJ9

Answer:

I think the answer would just be 2, I'm not for sure on this one

Answer:

The graph of g(x) shows exponential decay, while the graph of f(x) shows exponential growth. What you need in your answer: The graphs are reflections of each other over the y-axis. The g(x) function represents exponential decay.

The expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶

The expression is given as:

8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³

Collect the like terms

8mn⁵ -mn⁵ - 2m⁶ -4m⁶ + 5m²n⁴ +9m²n⁴+n⁶ - 4m³n³ - m³n³

Evaluate the like terms

7mn⁵ - 6m⁶ + 14m²n⁴+n⁶ - 5m³n³

Rewrite in standard form

n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶

Hence, the expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶

Read more about expressions at:

https://brainly.com/question/723406

#SPJ1

The natural log-transformation is among the common transformations of variables to accommodate non-linear relationships in a linear regression model.

There are several transformations of variables to accommodate non-linear relationships in a linear regression model. Three of the common ones are: The natural log-transformation.For a given predictor X, we can create an additional predictor X² to accommodate a quadratic relationship between X and Y.For a given predictor X, we can create an additional predictor X³ to accommodate a cubic relationship between X and Y.Therefore, the natural log-transformation is among the common transformations of variables to accommodate non-linear relationships in a linear regression model. The natural log transformation is the one that's most frequently employed. It changes the distribution of a variable to make it more normal and decrease the impact of outliers. It is common for continuous predictors with right-skewed or exponential distributions, such as income, expenditures, or time. This transformation is most frequently used to help correct non-normal distributions and to correct heterogeneity of variance.

So, the natural log-transformation is among the common transformations of variables to accommodate non-linear relationships in a linear regression model.

To know more about linear regression, click here

https://brainly.com/question/32505018

#SPJ11

Answer:

a) 4x

b) 2 + 4y

Step-by-step explanation:

a) 7x - 6x + 3x

To do this, we just need to collect the terms together. They are all coefficients of x, so all we need to do is add the number together.

7 - 6 + 3 = 4

7x - 6x + 3x = 4x

b) 2(1 + 2y)

Here we need to expand the brackets. 2 is shown to be multiplied by 1 +2y:

2(1 + 2y)

= 2*1 + 2*2y

= 2 + 4y

I hope this helps :)

Answer:

2^5

Step-by-step explanation:

Answer:

My buddy what's popping??

Step-by-step explanation:

Those coming from the Pest end had to walk round the Castle Hill on the Buda side to be able to proceed northwards. On 10 February 1853, four years after the completion of the Chain Bridge, the building of a tunnel leading through the hill was started to the plans of Adam Clark. On 6 March 1856, the tunnel was opened for foot traffic, and on 30 April 1857 also for motor traffic. Being 350 meters in length, it leads through under the Buda Castle to the other side of the hill. Its length is approximately identical to that of the Chain Bridge, prompting anecdotes according to which the tunnel has only been built so that in rainy weather, the Chain Bridge can be shoved in and be protected from wet conditions. The entry of the tunnel at its Chain Bridge end was also fittingly designed in classicist style.

Answer:

At right is the tunnel entrance that runs through Castle Hill in Budapest, Hungary.-a If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, determine a quadratic model to represent the tunnel-b State a geometric model that could be used to represent a truck passing through the tunnel.

Step-by-step explanation:

Answer:

40km/h

Step-by-step explanation:

Speed = Distance/Time

Speed = 60/1.5

Speed = 40km/h

Answer:

y= 1/2x+2

Step-by-step explanation:

First we need to find the slope

Pick two points on the line

(0,2) and (2,3)

Using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 3-2)/(2-0)

    = 1/2

We have the y intercept = 2

Then using the slope intercept

y = mx+b where m is the slope and b is the y intercept

y= 1/2x+2

The two given theorems are as follows:

a) The square root of every positive number less than one is greater than the number itself.

c) Every real number besides 0 has a multiplicative inverse.

To restate these theorems, we can write:

a) If a number is positive and less than one, then its square root is greater than the number itself.

c) For every real number x ≠ 0, there exists a real number y such that xy = 1.2.2.2 Determine whether the statement is true or false by direct proof or counterexample

The second part of the question asks to determine whether the given statement is true or false by direct proof or counterexample.

The statement is as follows:b) If x + y is an even integer, then x and y are both even integers.

To prove that the statement is true, we need to show that if x + y is an even integer, then x and y are both even integers. Let x = 2a and y = 2b, where a and b are integers. Then x + y = 2a + 2b = 2(a + b), which is even.

Hence, the statement is true.To show that the statement is false, we need to give a counterexample. Let x = 2 and y = 3.

Then x + y = 2 + 3 = 5, which is odd. However, x = 2 is even.

Hence, the statement is false.

To know more about counterexample click here
https://brainly.com/question/21738549
#SPJ11

A continuous probability distribution that is useful in describing the time, or space, between occurrences of an event, is an exponential probability distribution.

The probability density function or pdf of the exponential distribution is given by the formula

\($$f(x) = \begin{cases} \lambda e^{-\lambda x} & \text{for } x \ge 0 \ 0 & \text{otherwise} \end{cases}$$\)

where λ is the rate parameter and e is the natural logarithm base.

The pdf gives the probability distribution of a random variable x, which represents an exponential distribution.

The exponential distribution is a continuous probability distribution that simulates the interval between events with an average occurrence rate that is constant.

In this distribution, the likelihood that an event will occur in the future is independent of when that event occurred in the past

The time interval between customers joining a line, the interval between device failures, or the separation between two places in space are all frequently modeled using the exponential distribution.

The rate parameter, which denotes the average number of events per unit of time or space, is what defines the exponential distribution.

Learn more about probability:
https://brainly.com/question/9793303

#SPJ4

Answer:

The sequence is 2, 4, 8, 16, 32

The next answer is 2

Step-by-step explanation:

The missing terms of the required sequence are 8, 16 and 32 respectively.

In a geometric sequence, the ratio of two consecutive terms are always equal.

The general expression for the nth term is given as aₙ = a₁ × rⁿ⁻¹ .

The sum of n terms for this sequence is given as Sₙ = (rⁿ - 1)/(r - 1)

The given sequence is 1, 3, 7, 15, 31, 63...

Then, the sequence formed by subtracting the consecutive terms are given as,

3 - 1, 7 - 3, 15 - 7, 31 - 15, 63 - 31 .....

Which can be rewritten as,

2, 4, 8, 16, 32......

It is a geometric sequence as ratio of the consecutive terms are equal,

4/2 = 8/4 = 16/8

Hence, the required sequence is a geometric sequence found as 2, 4, 8, 16, 32......

To know more about geometric sequence click on,

https://brainly.com/question/12687794

#SPJ2    

We estimate that there are approximately 43 horse beads in the bag.

We can use the method of proportion to estimate how many horse beads are in the bag. We know that Neil randomly selected 14 beads out of a total of 200 beads, which represents 7% of the total.

We can assume that the proportion of horse beads in the bag is the same as the proportion of horse beads in the sample of 14 beads that Neil selected.

Out of the 14 beads that Neil selected, 3 were horse beads. Therefore, we can estimate that the proportion of horse beads in the bag is:

3/14 = 0.214

To estimate how many horse beads are in the bag, we can multiply the proportion by the total number of beads:

0.214 * 200 = 42.8

Rounding to the nearest whole number, we estimate that there are approximately 43 horse beads in the bag.

Lea more about proportion  at https://brainly.com/question/1496357

#SPJ1

Answer:

8 miles per hour

Step-by-step explanation:

First find the slope. The slope is the unit rate/constant of proportionality.

To find slope use the points given and formula y2-y1 / x2-x1

(32-16) / (4-2)

= 16 / 2

= 8

Thus the unit rate is 8 miles per hour.

please give thanks, hit the heart button! :)

Answer:

Its 10:4 so its 5:2 when dividing

5:2 is the answer

The ratio of orange fish to green fish in the fish tank is given by 5 : 2

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion equation be represented as A

Now , the value of A is

Let the total number of fishes in the fish tank be = 14 fishes

The number of orange fishes = 10 fishes

The number of green fishes = 5 fishes

Now , the ratio of orange fish to green fish in the fish tank is = number of orange fishes / number of green fishes

On simplifying , we get

The ratio of orange fish to green fish in the fish tank is = 10 / 4

The ratio of orange fish to green fish in the fish tank is = 5/2

Hence , the proportion is 5 : 2

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ3

\(\displaystyle\\Answer:\ \frac{7}{5}x +\frac{34}{5}\)

Step-by-step explanation:

\(\displaystyle\\(-7,-3)\ \ \ \ (-2,4)\\\\\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} \\\\x_1=-7\ \ \ \ \ x_2=-2\ \ \ \ y_1=-3\ \ \ \ \ y_2=4\\\\\frac{x-(-7)}{-2-(-7)} =\frac{y-(-3)}{4-(-3)}\\\\\frac{x+7}{-2+7}=\frac{y+3}{4+3} \\\\\frac{x+7}{5} =\frac{y+3}{7} \\\\\)

Multiply both parts of the equation by 7:

\(\displaystyle\\7(\frac{x+7}{5} )=y+3\\\\7(\frac{1}{5} x+\frac{7}{5} )=y+3\\\\\frac{7}{5}x +\frac{49}{5} =y+3\\\\\frac{7}{5}x +\frac{49}{5} -3=y+3-3\\\\\frac{7}{5}x +\frac{49}{5}-3=y\\\\\frac{7}{5}x +\frac{49-3(5)}{5} =y\\\\\frac{7}{5}x +\frac{49-15}{5} =y\\\\\frac{7}{5}x +\frac{34}{5} =y\\\\So,\ y=\frac{7}{5}x +\frac{34}{5}\)

c. incremental model Agile methods are iterative and incremental approaches to software development that prioritize customer satisfaction through the early and continuous delivery of working software.

The incremental model is a key aspect of agile methods, where the software is developed incrementally through a series of iterations or sprints. At the end of each iteration, user feedback is collected and incorporated into the next iteration, allowing the software to evolve and adapt to changing requirements. This approach allows for greater flexibility and responsiveness to user needs and helps ensure that the final product meets customer expectations.

Learn more about incremental model here:

https://brainly.com/question/31932487

#SPJ11

Answer:

$5.40

Step-by-step explanation:

A tax is a compulsory sum levied by the government or an agency of the government on goods and services. Taxes increase the price of good. The items bought would increase by 8%

Tax paid by Dave = 0.08 x $15 = $1.2

total price paid by Dave = 1.2 + $15 = $16.2

Tax paid by Mel = 0.08 x $20 = $1.6

total price paid by Mel = $20 + $1.6 = $21.60

Difference in prices

21.6 -16.2 = $5.40

Answer:

brooke is short

Step-by-step explanation:

Answer: i think no?

Step-by-step explanation:

AD and BE are both parallel lines (they are parallel to eachother), so they will never intersect

CF and GF intersect at point F (i think)

Bg and Ac intersect at point B (i think)

i dont want to give a definite answer in the event im wrong bc I just learned this like a few weeks ago-

Answer:

1133.98

Step-by-step explanation:

Answer:

1134

Step-by-step explanation:

There are 28.3495 grams per oz

28.3495 x 40 = 1133.98

Answer:

2

Step-by-step explanation:

Answer:

what is the population, growing rate per year, and years approximately

Step-by-step explanation:

Answer:

\((x - y) \times (x + y)( {x }^{2} + {y}^{2} )\)

Step-by-step explanation:

\((x ^{2} - y ^{2} ) \times (x ^{2} + y ^{2} )\)

\( ({x} - y) \times (x + y) \times {x }^{2} + y ^{2} )\)