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ira [324]
1 year ago
14

In the figure below, B is between A and C, and C is between B and D. If AC=9, BD=10, and BC-2, find AD

Mathematics
1 answer:
ehidna [41]1 year ago
4 0

Considering the situation described in the problem, the length of segment AD is of: 17 units.

<h3>How to find the length of segment AD?</h3>

From the situation described in the problem, segment AD is divided into three parts:

  • Part AB.
  • Part BC.
  • Part CD.

Then, the length of segment AD is:

AD = AB + BC + CD.

We have that AC = 9, hence:

AB + BC = 9.

We also have that BD = 10, then:

BC + CD = 10.

Since BC = 2, we have that:

  • AB + BC = 9 -> AB + 2 = 9 -> AB = 7.
  • BC + CD = 10 -> 2 + CD = 10 -> CD = 8.

Then the length of segment AD is given as follows:

AD = AB + BC + CD = 7 + 2 + 8 = 17.

More can be learned about the length of segments at brainly.com/question/7694028

#SPJ1

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3/4 times 16/9 is equal to 1 1/3.
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2 years ago
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Name a rational number between the two given numbers? 7/11ths and 4/7ths explain how you know​
Alex_Xolod [135]

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Step-by-step explanation:

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4 0
2 years ago
I have 100 items of product in stock. The probability mass function for the product's demand D is P(D=90)=P(D=100)=P(D=110)=1/3.
masya89 [10]

Answer:

The probability mass function for the items sold is

P_X(k) = \left \{ {\frac{1}{3} \, \, \, {k=90} \atop \, \frac{2}{3} \, \, \, {k=100}} \right.

The mean is 96.667

The variance is 22.222

b) The probability mass function for the unfilled demand due to lack of stock is

P_Y(k) = \left \{ {\frac{2}{3} \, \, \, {k=0} \atop \, \frac{1}{3} \, \, \, {k=10}} \right.

The mean is 3.333

The variance is 33.333

Step-by-step explanation:

If the demand is higher than 100, then you will sell 100 items only. Thus, there is a probability of 1/3+1/3 = 2/3 that you will sell 100 items, while there is a probability of 1/3 that you will sell 90.

The probability mass function for the items sold is

P_X(k) = \left \{ {\frac{1}{3} \, \, \, {k=90} \atop \, \frac{2}{3} \, \, \, {k=100}} \right.

The mean is 1/3 * 90 + 2/3 * 100 = 290/3 = 96.667

The variance is V(X) = E(X²)-E(X)² = (1/3*90² + 2/3*100²) - (290/3)² = 200/9 = 22.222

b) If order to be unfilled demand, you need to have a demand of 110, which happens with probability 1/3. In that case, the value of the variable, lets call it Y, that counts the amount of unfilled demand due to lack of stock is 110-100 = 10. In any other case, the value of Y is 0, which would happen with probability 1-1/3 = 2/3. Thus

P_Y(k) = \left \{ {\frac{2}{3} \, \, \, {k=0} \atop \, \frac{1}{3} \, \, \, {k=10}} \right.

The mean is 2/3 * 0 + 1/3 * 10 = 10/3 = 3.333

The variance is 2/3*0² + 1/3*10² = 100/3 = 33.333

4 0
2 years ago
Help me please please help me
Lisa [10]

9514 1404 393

Answer:

  1. C
  2. E
  3. B

Step-by-step explanation:

The idea of a "production possibilities curve" is that there is a fixed relationship between possible production of one product and possible production of another. This relationship is presumed to exist because resources used to produce one product are then unavailable to produce the other product.

The graph of the curve generally has increased production in the direction away from the origin. So, points between the curve and the origin represent production choices that do not utilize all available resources of the kind that give rise to the curve. That is, points "inside" the curve represent under-utilization of resources.

1. Point C represents under-utilization.

__

2. Points "outside" the curve are unattainable, because the curve represents production using all available resources.

  Point E is unattainable.

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3. The assumptions behind the curve are that there must be a tradeoff between production of one item and production of another that uses the same resources. That is, increasing production of one item will necessarily decrease production of the other, representing a cost of the increased production of the first item. We call this cost an "opportunity cost", because it represents production opportunity lost with respect to the second item.

  Choice B describes this situation.

_____

<em>Additional comment</em>

The very idea of a "production possibilities curve" represents the sort of simplification that is often used in the study of economics. The real world is much messier, and these curves are always dynamic. They are affected by the regulatory environment, resource quality, technology, product quality, and availability of alternate or competing products, among other things. The very existence of such a curve precludes the possibility of "win-win" situations, which we know are generally available if they are sought after.

6 0
3 years ago
What times what gives you 5700?
notsponge [240]

Answer:

57 × 10 will give you 5700, as well as 285 × 20.

6 0
2 years ago
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