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Strike441 [17]
3 years ago
12

Flaws of Apportionment Methods 1. In the year 2001, the economics department of a university had 25 teaching assistants (TAS) to

be divided among three courses, according to their respective enrollments. Table 1 shows the courses and the standard quotas as calculated for 25 TAs and 26 TAs. Table 2 shows the same data for year 2002, when the enrollment levels were different. Table 1 (2001) Course General Economics Economics Theory Business Economics Standard quota with 25 TAs 13.26 7.34 4.41 Standard quota with 26 TAs 13.79 7.68 4.58 Table 2 (2002) Course General Economics Economics Theory Business Economics Standard quota with 25 TAS 13.39 7.57 4.63 Standard quota with 26 TAS 13.42 7.63 4.71 Use Hamilton's method to determine if the Alabama paradox occurs. If so, when? 2. A national business has a small West Coast regional office responsible for 1,059 customers and a larger East Coast regional office responsible for 9,041 customers. The table shows the number of customers handled by each regional office.Regional office West Coast East Coast Total Customers 1,059 9,041 10,100 The national sales managers makes 100 visits total each year to the regional offices, apportioned between the two offices with respect to the number of customers for which each is responsible.Suppose that a new St. Louis regional office is opened with 510 brand new customers, resulting in a distribution shown in the following table. Regional office West Coast East Coast St. Louis Total Customers 1,059 9,041 510 10,610The sales manager adds 5 additional annual visits to his schedule for the St. Louis regional office. Use Hamilton's method to apportion the sales manager's visits for when there were two regional offices and for when there were three regional offices. Then decide which, if either, of the following statements is true.I. The new states paradox occurs with respect to the sales manager's visits, when the third regional office is added.II. When the third regional office is added, the West Coast office will get one fewer visit from the sales manager than before.
Mathematics
1 answer:
bulgar [2K]3 years ago
4 0
25TAs + 26TAs=9041TAs
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It would be $954.75

Step-by-step explanation:

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3 years ago
Please answer the question below
Maurinko [17]

Answer:

The rate of change in the submarine's elevation is 26.0 feet per second.

Step-by-step explanation:

She begins 151 feet below sea level

Thus, her initial point is y₁ = 151 feet below sea level

i.e. at t₁=0 seconds, y₁ = 151 feet below sea level

After descending for the 3 seconds, she is 229 feet below sea level.

Thus, her second point is y₂ = 229 feet below sea level after 3 seconds

i.e. at t₂=3 seconds, y₂ = 229 feet below sea level

The rate of change is basically the slope. Thus, the rate of change can be obtained by taking the slope.

slope = rate of change = (y₂ - y₁)/(t₂ - t₁)

                                      = (229 - 151) / (3 - 0)

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                                       = 26.0

Therefore, the rate of change in the submarine's elevation is 26.0 feet per second.

6 0
3 years ago
Here are the percents of the popular
kvv77 [185]

Answer: 57.4

Step-by-step explanation:

First order the numbers from the smallest to the largest:

49.6, 55.1, 57.4, 49.7, 61.1, 43.4,  60.7, 50.1, 50.7, 58.8, 53.9, 43.2,  49.2, 47.9, 51.2

to:

43.2, 43.4, 47.9, 49.2, 49.6, 49.7, 50.1, 50.7, 51.2, 53.9, 55.1, 57.4, 58.8, 60.7, 61.1.

The position of third quartile is:

= (N + 1) * 3/4

= (15 + 1) * 3/4

= 12th position

That number is:

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8 0
3 years ago
A quadrilateral has vertices A, B, C, and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units
Kryger [21]

Answer:

The correct option is O B'

Step-by-step explanation:

We have a quadrilateral with vertices A, B, C and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line and D is 9 units away from the line.

Now we perform the reflection and we obtain a new quadrilateral A'B'C'D'.

In order to apply the reflection to the original quadrilateral ABCD, we perform the reflection to all of its points, particularly to its vertices.

Wherever we have a point X and a line of reflection L and we perform the reflection, the new point X' will keep its original distance from the line of reflection (this is an important concept in order to understand the exercise).

I will attach a drawing with an example.

Finally, we only have to look at the vertices and its original distances to answer the question.

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8 0
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Which graph represents the given equation?<br> y<br> =<br> NICO<br> + 4r – 2
guajiro [1.7K]

Equations can be represented on graphs by plotting the corresponding x and y values. The graph of y = \frac{3}{2}x^2 + 4x - 2 is option (B).

Given that:

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First, we check the y intercept of y = \frac{3}{2}x^2 + 4x - 2

This is when x = 0

So, we have:

y = \frac{3}{2}x^2 + 4x - 2

y = \frac{3}{2} \times 0^2 + 4\times 0 - 2

y = - 2

This point is represented as: (0,-2)

Next, check the equation when x = 1

So, we have:

y = \frac{3}{2}x^2 + 4x - 2

y = \frac{3}{2} \times 1^2 + 4\times 1 - 2

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This point is represented as: (1,3.5)

From the list of given options (see attachment).

Only graph B has the (0,-2) and (1,3.5) on its curve.

Hence, option (B) is correct.

Read more about equation of graphs at:

brainly.com/question/1971145

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