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g100num [7]
3 years ago
12

A student in a wildlife biology class wants to determine the abundance of a rodent species in a local nature preserve, divided i

nto smaller blocks. She is concerned that she only has a modest number of traps and time to do the project, and wants to select the most appropriate sampling or experimental study design.
1. Which one of the following is most appropriate for this study?
Group of answer choices:
a. Natural experiment (observational study)
b. Stratified sampling
c. Cluster sampling
d. Systematic sampling
Mathematics
2 answers:
grigory [225]3 years ago
6 0

Answer:

Cluster sampling

Step-by-step explanation:

Cluster sampling is almost always more economical or more practical than stratified sampling or simple random sampling as it reduces costs by increasing sampling efficiency. Due to the fact that she has limited resources, this method is better to observe clusters of units in a population than randomly selected distributed in the local nature preserve and this method is more economical and quick.

LekaFEV [45]3 years ago
5 0

Answer:

c. Cluster sampling

Step-by-step explanation:

Taking into account that the exercise researcher is looking with limited resources to study a population that is divided, her best option is cluster sampling, which is a method applicable to this type of population, we could select in each group randomly her sample, the observational study is discarded because she does not have much availability of time or resources, nor would the stratified study be useful because she should select subgroups and create them to take samples and this would take more time and resources and sampling systematic is not adequate because it must have all the individuals and after having the list select the sample, but as we know, it is a process that will study the number of individuals so this option is not feasible.

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A circle is translated 4 units to the right and then reflected over the x-axis. Complete the statement so that it will always be
irga5000 [103]

Answer:

The statement is now presented as:

\exists\, (h,k)\in \mathbb{R}^{2} /f: (x-h^{2})+(y-k)^{2}=r^{2}\implies f': [x-(h+4)]^{2}+[y-(-k)]^{2} = r^{2}

In other words, this mathematical statement can be translated as:

<em>There is a point (h, k) in the set of real ordered pairs so that a circumference centered at (h,k) and with a radius r implies a equivalent circumference centered at (h+4,-k) and with a radius r. </em>

Step-by-step explanation:

Let C = (h,k) the coordinates of the center of the circle, which must be transformed into C'=(h', k') by operations of translation and reflection. From Analytical Geometry we understand that circles are represented by the following equation:

(x-h)^{2}+(y-k)^{2} = r^{2}

Where r is the radius of the circle, which remains unchanged in every operation.

Now we proceed to describe the series of operations:

1) <em>Center of the circle is translated 4 units to the right</em> (+x direction):

C''(x,y) = C(x, y) + U(x,y) (Eq. 1)

Where U(x,y) is the translation vector, dimensionless.

If we know that C(x, y) = (h,k) and U(x,y) = (4, 0), then:

C''(x,y) = (h,k)+(4,0)

C''(x,y) =(h+4,k)

2) <em>Reflection over the x-axis</em>:

C'(x,y) = O(x,y) - [C''(x,y)-O(x,y)] (Eq. 2)

Where O(x,y) is the reflection point, dimensionless.

If we know that O(x,y) = (h+4,0) and C''(x,y) =(h+4,k), the new point is:

C'(x,y) = (h+4,0)-[(h+4,k)-(h+4,0)]

C'(x,y) = (h+4, 0)-(0,k)

C'(x,y) = (h+4, -k)

And thus, h' = h+4 and k' = -k. The statement is now presented as:

\exists\, (h,k)\in \mathbb{R}^{2} /f: (x-h^{2})+(y-k)^{2}=r^{2}\implies f': [x-(h+4)]^{2}+[y-(-k)]^{2} = r^{2}

In other words, this mathematical statement can be translated as:

<em>There is a point (h, k) in the set of real ordered pairs so that a circumference centered at (h,k) and with a radius r implies a equivalent circumference centered at (h+4,-k) and with a radius r. </em>

<em />

4 0
3 years ago
Please help me!!!!!!
Aleks04 [339]

Answer:

first put the numbers on the lines then plot the points that are given

Step-by-step explanation:

first with the numbers of the line then plot the points that are given and you will find the slope and y-intercept of the equation

8 0
3 years ago
Can you please help me and explain this in a way that I can understand ​
melomori [17]

Answer:

180 Degrees

Step-by-step explanation:

So, m∠1 = m∠2 = m∠3 means that these angles are the same degrees

The question asks whats the degree of m∠CDG so first we find those points. In this image, it looks like points C,D and G form a line which is also equivalant to 180.

I hope you understand! If not, i'll try to elaborate more

3 0
3 years ago
-(-9)_l-9l is it grater than or less than or eqaul to?
emmainna [20.7K]

Answer:

Equal to

Step-by-step explanation:

Hello!

Let's simplify the left side:

  • - ( -9 )          
  • 9

Remember that the negative sign also means opposite, so the opposite of negative 9 is positive 9.

Let's simplfy the right side:

  • | - 9 |
  • 9

Remember that in an absolute value bracket, any positive value stays positive, but any negative value turns to the positive value.

So the inequality is 9 _ 9

Therefore the sign should be "=" as 9 is equal to 9.

7 0
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Likurg_2 [28]

Answer:

289.8

Step-by-step explanation:

69%*420=289.8

8 0
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