Suppose we have a random sample 1,2, … , n such that the i’s follow an unknown distribution with mean = 5 and variance ^2 = 25. Assuming the sample size > 30, what is the value of such that P(X-bar − < 1) ≅ 0.95?

Answers

Answer 1

Given that we have a random sample 1, 2, ..., n such that the i's follow an unknown distribution with mean = 5 and variance 5² = 25. We need to find the value of z such that P(X-bar − < 1) ≅ 0.95, assuming the sample size > 30.

By Central Limit Theorem, the sample mean follows a normal distribution with mean µ = 5 and variance σ²  = (25/n). We are given that n > 30, so we can use the standard normal distribution to approximate the sampling distribution of the sample mean.

Using the standard normal distribution, we have:

P(Z < (X-bar − µ)/(σ/√n)) = P(Z < (X-bar − 5)/(5/√n)) = 0.95

From the standard normal distribution table, we can find that the z-score corresponding to the 95th percentile is 1.96.

So, we have:

(Z < (X-bar − 5)/(5/√n)) = 0.95

1.96 = (X-bar − 5)/(5/√n)

Solving for n, we get:

n = (1.96*5/1)² ≈ 96.04

Since n must be an integer, we round up to n = 97.

Therefore, for a sample size of at least 97, the value of X-bar − 5 divided by the standard error of the sample mean is less than 1 with probability approximately 0.95.

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Related Questions

What does the slope represent in this graph ?

What does the slope represent in this graph ?

Answers

The profit for each item sold
Brainliest?
The company will make $4 for every unit of product sold.

Look at any numbered point on x or y axis and it corresponding x or y. For example, 10 units sold = $40. 1 unit = $4.

A ladder leans against the side of a house. The angle of elevation of the ladder is 73° when the bottom of the ladder is 15 feet from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Answers

Answer:

17.2 feet

Step-by-step explanation:

A ladder leans against the side of a house. The angle of elevation of the ladder is 73 when the bottom

The length of the ladder is 20.4 feet.

What are heights and distances?

Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.

Given that, the angle of elevation of the ladder is 73° when the bottom of the ladder is 15 feet from the side of the house.

Let the height of side of a house be x.

Now, tan73°=x/15

x/15=0.9192

x=0.9192×15

x=13.8 feet

Let the length of the ladder be y.

y²=15²+13.8²

y²=415.44

y=√415.44

y=20.4 feet

Therefore, the length of the ladder is 20.4 feet.

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How is p-value calculated with example?

Answers

To calculate the p-value, we have to follow the following steps:

First, identify the correct test statistic.Then, calculate the test statistic using the relevant properties of the sample.Specify the characteristics of the test statistic’s sampling distribution.Then, place test statistics in the sampling distribution to find the p-value.

To calculate the p-value, we need

p = sample proportion

p' = assumed population proportion in the null hypothesis

n = sample size

Example

Given, n =40, σ = 32.17 and X = 105.37. calculate p-value.

σₓ = σ/ √n

σₓ = 32.17 / √40

    = 5.0865

Now, by applying the test static formula, we get

t = (105.37 – 120) / 5.0865

t = -2.8762

Using the table, we find the value of P(t>-2.8762)

From the table, we get

P (t<-2.8762) = P(t>2.8762) = 0.003

If P(t>-2.8762) = 1- 0.003 = 0.997

P- value = 0.997 > 0.05

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x y 3 9 6 18 9 27 12 36 The table shows a proportional relationship between x and y. What is the unit rate of y per x? A) 1 B) 3 C) 6 D) 9

Answers

Answer:yes

Step-by-step explanation:

It does show a proportion relationship because it has an upward growth of approximately 5.99999483838and 6x so if you do that together in your calc then you can get that answer please vote 5 stars.

help please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111

help please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111

Answers

Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Given solution of a question done by two people.

Jenna's method

5(30+4)

(5)(30)+(5)(4)

150+20=170

Mia's method

5(30+4)

5(34)=170

We are required to find why they have achieved at the same answer.

Jenna and Mia have achieved at the same answer because they both have adopted the right method.Jenna's method is the equation in its simplest form. Addition of that is easily understood. While Mia's method is just valid as Jenna's some people may have trouble remembering the steps of multiplication within parantheses as well as being able to look at large multiplication problem and automatically knowing the answer or being able to get the answer as fast as simple addition.

Hence Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

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The number of boysin a club is 48 and the number of girls is 20. Express this ratio in its simplest form

Answers

Answer:

the ratio is 12:5

Step-by-step explanation:

48:20 divided in half 24:10 divided in half 12:5

pls help me solve this

pls help me solve this

Answers

Answer:

See below.

Step-by-step explanation:

1.) False - It contains 6 sig figs, not 2.

2.) False - It goes up to 2 decimal places, not 3.

3.) True

4.) False - It goes up to 1 sig fig, not 4.

What is 116.52 plus 8% as tax

Answers

Answer:

125.84

Step-by-step explanation:

116.52(0.08)=9.32

116.52+9.32=125.84

Answer:

The total is $125.84.

Step-by-step explanation:

The total is equal to the original value (100%) + the tax amount (8%) which equals 108%. To multiply it, we move the decimal two to the left to get our figure (1.08) then multiply that times 116.52. So, 116.52x1.08=125.8416; for dollars I rounded to the nearest cent: $125.84.

TRUE/FALSE. If the value of the Pearson correlation is r = +1.00 or -1.00, then all data points in a scatter plot fit perfection on a straight line.

Answers

False.

While a Pearson correlation coefficient of +1.00 or -1.00 indicates a strong linear relationship between two variables, it does not necessarily mean that all data points will fit perfectly on a straight line. The correlation coefficient measures the strength and direction of the linear relationship, but it does not guarantee that the data points will fall exactly on a straight line.

Scatter plots with a perfect linear relationship will have all data points lying precisely on a straight line, but this is not always the case even when the correlation coefficient is +1.00 or -1.00. There can still be some degree of scatter or variation around the line, depending on other factors such as measurement errors, outliers, or the presence of other nonlinear relationships in the data.

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If A is an 8 times 6 matrix, what is the largest possible rank of A? If A is a 6 times 8 matrix, what is the largest possible rank of A? Explain your answers. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The rank of A is equal to the number of pivot positions in A. Since there are only 6 columns in an 8 times 6 matrix, and there are only 6 rows in a 6 times 8 matrix, there can be at most pivot positions for either matrix. Therefore, the largest possible rank of either matrix is B. The rank of A is equal to the number of non-pivot columns in A. Since there are more rows than columns in an 8 times 6 matrix, the rank of an 8 times 6 matrix must be equal to. Since there are 6 rows in a 6 times 8 matrix, there are a maximum of 6 pivot positions in A. Thus, there are 2 non-pivot columns. Therefore, the largest possible rank of a 6 times 8 matrix is C. The rank of A is equal to the number of columns of A. Since there are 6 columns in an 8 times 6 matrix, the largest possible rank of an 8 times 6 matrix is. Since there are 8 columns in a 6 times 8 matrix, the largest possible rank of a 6 times 8 matrix is.

Answers

The correct answer is B

The rank of A is equal to the number of non-pivot columns in A. Since there are more rows than columns in an 8 times 6 matrix, the rank of an 8 times 6 matrix must be equal to the number of pivot positions, which is 6. Since there are 6 rows in a 6 times 8 matrix, there are a maximum of 6 pivot positions in A. Thus, there are 2 non-pivot columns. Therefore, the largest possible rank of a 6 times 8 matrix is 2.

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Rise and shine How long before school starts do students get out of bed, on average? Administrators survey a random sample of students on each school bus one morning. Give a reason why this survey might yield a biased result. Explain the likely direction of the bias

Answers

Answer:  when it is morning time to get up and you put your clothes and your shoe and your backpack and your  coat and you wait for the bus

Step-by-step explanation:

Write down the indicated trigonometric value and write as decimal and round to thousandths place

Write down the indicated trigonometric value and write as decimal and round to thousandths place

Answers

The trigonometric values for a right triangle can be obtained through the measurements of the different sides,

\(\begin{gathered} sin(\theta)=\frac{op}{hyp} \\ cos(\theta)=\frac{ad}{hyp} \\ tan(\theta)=\frac{op}{ad} \end{gathered}\)

this can be found in a triangle like this,

then, identify the measurements in the given triangle

then,

\(\begin{gathered} sin(A)=\frac{10}{26}=\frac{5}{13} \\ cos(A)=\frac{24}{26}=\frac{12}{13} \\ tan(A)=\frac{10}{24}=\frac{5}{12} \end{gathered}\)

Write down the indicated trigonometric value and write as decimal and round to thousandths place
Write down the indicated trigonometric value and write as decimal and round to thousandths place

question 1.7 construct a histogram and compare to above estimates, are they consistent? what is your best estimate of the random modiifer based on the above, without examining the value?

Answers

To construct a histogram of the estimates and compare it to the above estimates, follow these steps:
1. Compile the data and organize it into groups or bins.
2. Assign each group a height or frequency, usually the number of occurrences in the group.
3. Represent each group by drawing a bar with the corresponding height.
4. Connect the tops of the bars to form a histogram.

Comparing the histogram to the above estimates, if the histogram is similar in shape and spread, then the estimates are consistent.

The best estimate of the random modifier without examining the value is the mode of the data, which is the value that occurs most often.

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elect the characteristics of epithelial tissue. composed of cells and a matrix contains basal and apical surfaces has a high rate of cell division is not innervated is avascular

Answers

Epithelial tissue characteristics: composed of cells and matrix, basal and apical surfaces, high cell division rate; but it is innervated and avascular.

Epithelial tissue is composed of closely packed cells that form continuous sheets or layers. The cells are supported by a thin layer of extracellular matrix. Epithelial tissue has distinct basal and apical surfaces, with the basal surface attached to the underlying connective tissue and the apical surface facing the external environment or a body cavity. Epithelial tissue has a high rate of cell division, allowing for rapid renewal and repair.

Contrary to the statement, epithelial tissue is innervated, meaning it is supplied with nerve endings that detect sensory information and allow for communication with the nervous system. However, epithelial tissue is avascular, meaning it lacks blood vessels. Nutrients and oxygen are obtained through diffusion from nearby blood vessels in the underlying connective tissue.

In summary, the characteristics of epithelial tissue include being composed of cells and a matrix, having basal and apical surfaces, and having a high rate of cell division. However, it is innervated and avascular.

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PLEASE HELP ME!!! ill put brainliest 7

PLEASE HELP ME!!! ill put brainliest 7

Answers

Answer:

The answer is A, 19/49

Step-by-step explanation:

normally you would do the equation as usual, but if you notice the words (without replacing the first) then that means there will be 24 marbles left.

that means it can't be B C or D because 24 can't be simplified into the denominators 5, 20, or 15

Find the sum of the infinite series: 15+110+120+... Write your answer as a fraction using the "/" as the fraction bar with no spaces.

Answers

9514 1404 393

Answer:

  2/5

Step-by-step explanation:

The common ratio is r = (1/10)/(1/5) = 5/10 = 1/2. The first term is a1 = 1/5.

The sum of an infinite geometric series is given by ...

  S = a1/(1 -r)

  S = (1/5)/(1 -1/2) = (2/10)/(5/10) = 2/5

The sum of the series is 2/5.

_____

It might stick in your head that the sum of 1 + 1/2 + 1/4 + 1/8 + 1/16 + ... is 2. The given series is 1/5 times that.

Answer:

the answer is 2/5

Step-by-step explanation:

:)))))

HEP PLSSS

Given f(x)=3x2+4x and g(x)=2x2−x+1.

What is (f+g)(x)?




5x2+3x+1

−x2−5x−1

​6x2−4x+1​

​x2+5x−1​

Answers


(fg)(x) means multiply f(x) by g(x). Use the distributive law:

(fg)(x) = (x2+3x+2)(x+1) = x3 + 3x2 + 2x + x2 + 3x + 2 = x3 + 4x2 + 5x + 2

sampling techniques are particularly important in which type of study

Answers

Sampling techniques are particularly important in quantitative research studies. In these studies, researchers aim to collect data from a subset of individuals or entities (the sample) to make inferences about a larger population.

Sampling techniques help researchers select participants from the population in an unbiased and systematic manner. By using appropriate sampling methods such as random sampling, stratified sampling, or cluster sampling, researchers can minimize sampling errors and increase the likelihood that the sample represents the characteristics of the population accurately.

By employing sound sampling techniques, researchers can enhance the external validity of their findings, allowing them to make meaningful and reliable generalizations about the larger population.

This is particularly crucial in fields such as public health, social sciences, market research, and opinion polling, where the goal is to draw valid conclusions about the broader target audience based on a representative sample.

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Simplest radical form

Simplest radical form

Answers

Answer:

\(4 \sqrt{5} \)

☽------------❀-------------☾

Hi there!

~

\(4\sqrt{5}\)

⇒Using the law of radicals

\(\sqrt{a}\) × \(\sqrt{b}\)\(\sqrt{ab}\)

\(\sqrt{80}\)

\(\sqrt{16} \times 5\)   \(= \sqrt{16}\) × \(\sqrt{5}\) \(= 4\sqrt{5}\)

❀Hope this helped you!❀

☽------------❀-------------☾

A network's physical topology describes how signals travel electronically.
a. true b. false

Answers

The statement is true. A network's physical topology refers to the arrangement of devices and cables that determine how signals travel electronically.

The physical topology of a network describes the physical arrangement of devices, cables, and other components that make up the network infrastructure. It defines how these elements are connected and how signals flow between them. The physical topology is concerned with the actual layout and structure of the network.

There are different types of physical topologies, including bus, star, ring, mesh, and hybrid topologies. In a bus topology, devices are connected to a central cable, and signals travel along the cable to reach their destination. In a star topology, devices are connected to a central hub or switch, and signals are transmitted from the source device to the hub/switch, which then distributes the signal to the destination device. A ring topology connects devices in a circular manner, where signals travel in one direction around the ring.

The physical topology determines factors such as signal propagation, fault tolerance, scalability, and network performance. It plays a crucial role in determining how efficiently and effectively signals travel electronically within a network. Therefore, the statement that a network's physical topology describes how signals travel electronically is true.

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Question 3 of 32Which conic section is defined by the set of all points in a plane for which thesum of the distances to two fixed points equals a certain constant?уFocusFocusO A. EllipseOB. ParabolaC. Hyperbola

Question 3 of 32Which conic section is defined by the set of all points in a plane for which thesum of

Answers

We can see from the graph that we have a conic section in which we have the sum of the distances to two fixed points equals a certain constant.

As we can see from the question, we have:

1. Then we have that for this figure if we have that:

\(F_1P+F_2P=constant\)

2. In words, we have the sum of the distance from one of the focus, F1, to the point P, and the distance from the focus, F2, to the point P is always constant.

An example of the ellipse is the movement of the planets around the Sun. The planets move around the Sun forming an ellipse, in which the Sun is one of the focus.

We can also say that this figure is a stretched circle, and it is known as Ellipse.

Therefore, in summary, the conic section defined by the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is the Ellipse (option A).

Question 3 of 32Which conic section is defined by the set of all points in a plane for which thesum of

Procter and Gamble (PG) paid an annual dividend of $2.95 in 2018. You expect PG to increase its dividends by 7.4% per year for the next five years (through 2023), and thereafter by 2.6% per year. If the appropriate equity cost of capital for Procter and Gamble is 8.6% per year, use the dividend-discount model to estimate its value per share at the end of 2018.

Answers

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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A circle has been dissected into 16 congruent sectors. The base of one sector is 1. 17 units, and its height is 2. 94 units. Using the area of a triangle formula, what is the approximate area of the circle? circle A is dissected into 16 congruent sectors, one sector is highlighted 27. 14 units2 27. 52 units2 48. 92 units2 76. 44 units2.

Answers

The area of a shape is the amount of space on the shape

The approximate area of the circle is 27.52 square units

How to determine the area of the circle

The given parameters are:

Sectors = 16

Base = 1.17 units

Height = 2.94 units

The area of the triangle is:

\(A_1 = 0.5 * Base * Height\)

So, we have:

\(A_1 = 0.5 * 1.17 * 2.94\)

\(A_1 = 1.7199\)

The approximate area of the circle is then calculated as:

\(A_2 = 16 * A_1\)

This gives

\(A_2 = 16 * 1.7199\)

\(A_2 = 27.52\)

Hence, the approximate area of the circle is 27.52 square units

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Answer:

27.52

Step-by-step explanation:

A = 1/2 bh

fill in the given information

A = 1/2 (1.17)(2.94)

multiply 1.17 and 2.94

A = 1/2 (3.4398)

Mutiply 3.4389 by 1/2 or divide 3.4398 by 2 (it is the same thing)

A = 1.7199

Now you have the area of one of the triangles, so you have to find the area of the whole circle or 16 triangles.

A = 1.7199 (16)

Mutpily

A = 27.5185

round to the nearest hunderth

A = 27.52

:)

3
5
4.
2
6
4
Yaniq spins both spinners and then
adds the numbers together.
a) Complete the table to show all the
possible totals.
b) What is the probability that Yaniq
gets a total of more than 9?
c) What is the probability that Yaniq
gets a total of less than 7?

Answers

The probability that Yaniq gets a total of less than 7: 2/9

The probability that Yaniq gets a total of more than 9: 2/9

How to solve

The completed table has the total as:

5, 7,9, 6, 810,7, 9, 11

b. The probability that Yaniq gets a total of more than 9:

E: (10, 11)

P(E) = 2/9

Given that the total outcomes is 9

c. The probability that Yaniq gets a total of less than 7:

F; (5,6)

P(F)= 2/9

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354.264Yaniq spins both spinners and thenadds the numbers together.a) Complete the table to show all

You are examining the financial viability of investing in some abandoned copper mines in Chile, which still have significant copper deposits in them. A geologist survey suggests that there might be 10 million pounds of copper in the mines still and that the cost of opening up the mines will be $3 million (in present value dollars). The capacity output rate is 400,000 pounds a year and the price of copper is expected to increase 4% a year. The Chilean Government is willing to grant a twenty-five-year lease on the mine. The average production cost is expected to be 40 cents a pound and the current price per pound of copper is 85 cents. (The production cost is expected to grow 3% a year, once initiated.) The annualized standard deviation in copper prices is 25% and the twenty-five-year bond rate is 7%.
a. Estimate the value of the mine using traditional capital budgeting techniques.

b. Estimate the value of the mine based upon an option pricing model.

c. How would you explain the difference between the two values?

Answers

(a) Estimate the value of the mine using traditional capital budgeting techniques is $609,000.0. (b) The total value of the mine using the binomial option pricing model is $3,609,000.0. (c) The value derived from the binomial option pricing model is lower due to the greater level of risk associated with the mine.

a. Estimate the value of the mine using traditional capital budgeting techniques is $609,000.0.

b. Estimate the value of the mine based upon an option pricing model.

Let us estimate the value of the mine using the binomial option pricing model: Initial Stock Price = $0.85

Strike Price = $0.40

u = 1.25d = 0.80

Rf = 7%

Time to expiration = 25 years

Number of time periods = 25

Size of time period = 1 year

25th-Step Terminal Stock Price = $6.75

There are 26,830 possible terminal stock price paths.

Average terminal stock price = $8.24 (2,134 paths)26,830-$0.0000 (25,389)$0.0117 (825)$0.0260 (126)$0.0443 (45)$0.0668 (24)$0.0935 (11)$0.1243 (4)$0.1591 (1)$0.1980 (1)

Average = $0.0609

The option value is therefore $0.0609*10,000,000 = $609,000.0

The total value of the mine using the binomial option pricing model is $3,609,000.0.

c. In the case of traditional capital budgeting techniques, the Net Present Value (NPV) of the mine is estimated to be $13,981,579.0, which is greater than the value derived from the binomial option pricing model of $3,609,000.0. The difference is due to the fact that traditional capital budgeting methods use discounted cash flows that are predetermined and stable over the project life, while the binomial option pricing model uses a probabilistic approach to valuing the asset that accounts for its volatility and uncertainty. As a result, the value derived from the binomial option pricing model is lower due to the greater level of risk associated with the mine.

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ssignment/4903529/17074
The diagram shows two congruent regular polygons joined together.
Not drawn
accurately
Work out the number of sides
of each polygon.

Answers

Hi, can we get an image attached of the work ?

Kiley and her parents traveled to visit her grandmother. They drove 24.3 miles from their house to the airport in 12 hour. At the airport, they exited the car and walked for 34 hour to the waiting area by the gate to board their plane. Their walk covered 1.2 miles. From the waiting area, they walked another 0.1 mile to board the plane. The plane left the gate 45 minutes after they arrived at the waiting area. The plane flew 346 miles in 214 hours. After the plane landed, Kiley and her parents walked for 30 minutes, covering 1.1 miles, before they found a cab. It was a 15-minute cab ride to get to Kiley’s grandmother’s house, which was 12.3 miles away.Answer the following questions about Kiley’s trip. All questions are written in terms of an average rate. Assume that an average rate includes the time that Kiley is at rest (that is, not moving).In this task, you will write the ratio of miles to hours for each leg of Kiley’s trip. You will then, express the ratio as a decimal number. Next, you will find the unit rate in miles per hour (mph) for each leg of the trip. If your unit rate includes a repeating decimal number, you must indicate which digits repeat (for example, write 0.3¯when the 3 repeats.) A description of each leg is listed below in parts A through F.

Kiley and her parents traveled to visit her grandmother. They drove 24.3 miles from their house to the
Kiley and her parents traveled to visit her grandmother. They drove 24.3 miles from their house to the

Answers

Given:

The car ride from Kiley's house to the airport.

Distance =24.3 miles.

Time =1/2 hour.

We know that

\(\text{Average rate =}\frac{\text{Distance}}{\text{time}}\)

Substitute Distance =24.3 miles and time =1/2 hour to compute the average rate of the car ride from Kiley's house to the airport.

\(=\frac{24.3\text{ miles}}{\frac{1}{2}\text{hours}}\)\(\text{ Use }\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\times\frac{d}{c}\text{.}\)

\(=24.3\times\frac{2}{1}\text{ miles per hour}\)

\(=24.3\times2\text{ miles per hour}\)\(=48.6\text{ miles per hour}\)

Hence the average rate of the car ride from Kiley's house to the airport is 48.6 miles per hour.

2)

Given that they walked 3/4 hours to the waiting area and covered the distance of 1.2 miles.

Distance =1.2 miles.

Time =3/4 hours.

we know that

\(\text{Average rate =}\frac{\text{Distance}}{\text{time}}\)

Substitute distance =1.2 miles and time =3/4 hours to compute the average rate of the walk from the car to the waiting area by the gate, at the airport.

\(=\frac{1.2\text{ miles}}{\frac{3}{4}\text{ hours}}\)

\(=1.2\times\frac{4}{3}\text{ miles per hour.}\)

\(=\frac{1.2\times4}{3}\text{ miles per hour.}\)

Multiplying 1.2 and 4, we get 4.8

\(=\frac{4.8}{3}\text{ miles per hour.}\)

Dividing 4.8 by 3, we get 1.6

\(=1.6\text{ miles per hour.}\)

Hence at the airport, the average rate of the walk from the car to the waiting area by the gate is 1.6 miles per hour.

If 1 droplet of water falls from a pipe every 10 seconds. How many droplets of water would have fallen 6 minutes?

Answers

Answer:

36

Step-by-step explanation:

60 seconds in one minute = 6 drops times 6 equals 36

Answer:

36 droplets of water in 6 minutes

Step-by-step explanation:

If there are 60 seconds in a minute, and one droplet of water falls in the pipe every 10 seconds then you would need to divide.

The first step is to divide 60 by 10. The answer will be 6. This means that six droplets will fall for every minute.

60/10 = 6

This gives us a unit rate to work with.

6:1 or \(\frac{6}{1}\) or 6 droplets per minute

All you have to do is multiply.

\(\frac{6}{1} * 6\) (the minutes)

Your answer should be 36 droplets of water have fallen into the pipe in 6 minutes.

Best of Luck!


What is the GCF of 45x^5
and
36x^9

Answers

Answer:

9x^5

Step-by-step explanation:

the factors of 45:

1, 3, 5, 9, 15, 45

the factors of 36:

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest common is 9

Answer:

The answer is 3

Step-by-step explanation:

because I said so

Can you help me with this question step by step.

Can you help me with this question step by step.

Answers

Answer:

32

Step-by-step explanation:

There are 28 full shaded squares

There are 8 half squares

2 half squares make up 1 full square

So 28 + 4 = 32

Area is 32 units

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