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GuDViN [60]
3 years ago
14

A certain production process requires only two types of inputs — capital and labor. In 2006, 100 units of labor and 50 units of

capital were employed, and 100 units of output were produced. In 2013, 112 units of labor and 56 units of capital were employed. If the production process displays constant returns to scale, then how many units of output were produced in 2013?
Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0

Answer:

112 units of output

Step-by-step explanation:

Constant returns to scale means that an increase in inputs (capital and labor) cause the same proportional increase in output. From 2006 to 2013 labor grows from 100 to 112, in percentage that is 100*(112 -100)/100 = 12%. Capital grows from 50 to 56, in percentage that is 100*(56 -50)/50 = 12%. In consequence, output had to grow from 100 to 112, so that, an increment of 12% was made.

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According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o
igomit [66]

Answer:

Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

               \frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } ~ N(0,1)

where, p = 0.20 and n = 100

Let \hat p = proportion of red candies in our sample

So, P(\hat p < 0.20) = P(\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } < \frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } } ) = P(Z < 0) = 0.5

Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

5 0
3 years ago
Lliana rotated trapezoid WXYZ 180° about the origin.
AfilCa [17]

Answer:

The answer to the equation is W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)

Step-by-step explanation:

Because its turning 180 degrees that means its turning half the way it is. and if you look on the graph the z is Z (0, 2). which if you flip it upside down it would be (0,-2)

Also i took the test!  :)

6 0
3 years ago
Read 2 more answers
Which point is 10 units from (2,5)
zalisa [80]

Answer:

All the points on (x - 2)² + (y - 5)² = 100

Step-by-step explanation:

It should be the circle with its center on point (2,5) and radius is 10.

(h , k) : center of circle (2,5)    h = 2     k = 5

r: radius     r = 10

Circle: (x - h)² + (y - k)² = r²

(x - 2)² + (y - 5)² = 100

5 0
3 years ago
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(Q2) Determine the eccentricity, the type of conic, and the directrix for r = 9/1+cos theta
g100num [7]

Answer:

The answer is (d) ⇒ eccentricity = 6 , hyperbola , directrix  x = 3/2

Step-by-step explanation:

∵ r = ek/(1 ± ecosФ)

∵ r = 9/(1 + 6cosФ)

∴ e = 6 ⇒ eccentricity = 6

∵ e > 1

∴ The conic is hyperbola

∵ ek = 9

∴ k = 9/6 = 3/2

∴ The directrix  x = 3/2

3 0
3 years ago
The graph of an equation is shown below:
Ganezh [65]

Answer:

(1, 3)

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The first number of each pair is the x-coordinate, the horizontal location of the point.

The end points of the graphed line segment are (1, 3) and (-3, -2). It looks like the answer choices are intended to see if you can tell what order the coordinates are expressed in.

The appropriate choice is (1, 3), the upper right end point.

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4 years ago
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