7. which best describes the shape of the distribution? a. nearly symmetric b. right skewed c. left skewed d. uniform e. bimod

The present value of the working capital cash flow expected to be received in year 10 is approximately $101,548.6.

The present value of the working capital cash flow expected to be received in year 10,  to discount it back to its present value using the after-tax cost of capital.

The present value (PV) :

PV = CF / (1 + r)²n

Where:

CF = Cash Flow in year 10

r = After-tax cost of capital

n = Number of years

The cash flow in year 10 is the liquidation of the working capital investment, which is $200,000. The after-tax cost of capital is 10%, which means the discount rate (r) is 0.10. The number of years (n) is 10.

After-tax cost of capital = Cost of capital × (1 - Tax rate)

= 10% × (1 - 30%)

= 0.10 × (1 - 0.30)

= 0.10 × 0.70

= 0.07

The present value of the cash flow:

PV = $200,000 / (1 + 0.07)²10

= $200,000 / (1.07)²10

= $200,000 / 1.967151

= $101,548.68

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Answer:

Step-by-step explanation:Simplifying

3x + 8 = 2x + -21

Reorder the terms:

8 + 3x = 2x + -21

Reorder the terms:

8 + 3x = -21 + 2x

Solving

8 + 3x = -21 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

8 + 3x + -2x = -21 + 2x + -2x

Combine like terms: 3x + -2x = 1x

8 + 1x = -21 + 2x + -2x

Combine like terms: 2x + -2x = 0

8 + 1x = -21 + 0

8 + 1x = -21

Add '-8' to each side of the equation.

8 + -8 + 1x = -21 + -8

Combine like terms: 8 + -8 = 0

0 + 1x = -21 + -8

1x = -21 + -8

Combine like terms: -21 + -8 = -29

1x = -29

Divide each side by '1'.

x = -29

Simplifying

x = -29

3x + 8 = 2x + 21

3x - 2x + 8 = 21

x + 8 = 21

x = 21 - 8

x = 13

Answer: I believe he uses about 0.25 pounds of ground turkey for each patty

Step-by-step explanation:  1/3 x 3.75 = 1.2499 devided by 5 = 0.25, and doesn't seem to be pilled up eith numbers, so I think that's it.

In Japanese criminal trials, approximately 95% of the defendants are found guilty, while in the United States, about 60% of defendants are found guilty, according to "The Book of Risks" by Larry Laudan.

The statistics provided indicate a stark contrast in conviction rates between Japanese and American criminal trials. In Japan, the overwhelming majority of defendants, around 95%, are found guilty. This suggests a high degree of confidence in the prosecution's ability to prove guilt. On the other hand, in the United States, about 60% of defendants are found guilty, implying a comparatively lower conviction rate. This discrepancy could be due to several factors, such as differences in legal systems, standards of proof, evidence presentation, and judicial practices. It is essential to note that these statistics provide a general overview and may vary depending on specific circumstances and cases within each country's legal system.

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» The diameter of a circle is 11 in. What is the circle's circumference?

— — — — — — — — — —

To find the circumference, use pi (π), a mathematical constant. Its value is approximately equal to 3.14.

— Multiply the diameter with π in order to get the circumference of a Circle.

Therefore, the circumference of the circle is 34.54 inches.

_______________∞_______________

Answer:

\(\displaystyle 34,557519189...\:in.\)

Step-by-step explanation:

Split the diametre in half before proceeding:

\(\displaystyle \pi{d} = C \\ \\ 11\pi = C \hookrightarrow \boxed{34,557519189... = C}\)

I am joyous to assist you at any time.

Answer:

5 Units!

Step-by-step explanation:

Give Brainiest answer to me! :D I neeeed itttt

Answer:

0.0119%

Step-by-step explanation:Correct

Answer:

119% is your answer

Step-by-step explanation:

Answer:

Q.D.E=(5+2i).(5-2i).i = (25-4i²)i = 25i-4i³

Step-by-step explanation:

Let the number is X

So the equation will be X-5 = 15

To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points.

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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Answer:

one hundred billion

Step-by-step explanation:

10^6 x 10^5 = 10^11

10^11 = 100,000,000,000 or  one hundred billion

I hope that's what you meant ^-^

\( \large \mathfrak{Solution : }\)

Distance between the places is :

Time taken to cover that distance is :

Average speed of the cyclist will be :

Avg speed = 20 km / h

The top 1st percentile of the standard normal distribution is a value of 1.64485.

This value is found on a bell curve, which is a graphical representation of a normal distribution. The percentile is calculated by finding the number of standard deviations away from the mean that the data point is.

The mean is 0 and the standard deviation is 1, so any data point 1.64485 or higher is considered to be in the top 1st percentile.
To calculate the percentile of a data point on the standard normal distribution, use the formula:
Z = (x - μ) / σ
where x is the data point, μ is the mean, and σ is the standard deviation. This will give you the z-score of the data point. To convert the z-score to the percentile, use the z-table, which can be found online.

Find the z-score on the z-table and it will give you the percentile of the data point.
In the case of the top 1st percentile of the standard normal distribution, the z-score would be 1.64485. Looking up this value on the z-table would give you the percentile of 99.9999.

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The top 1st percentile of the standard normal distribution is a Z-score of 2.33, meaning 99% of data set lies below this score. It describes how far away your data is from the mean in terms of standard deviations.

The top 1st percentile of the standard normal distribution, often referred to as Z-score, is approximately 2.33. This means if you have a bell curve, then 99 percent of the data set lies below the Z-value of 2.33. Mathematically, the standard normal distribution has a mean of 0 and a standard deviation of 1. Therefore, when you're talking about the 1st percentile, you're looking at how far your data is from the mean in terms of standard deviations. The percentile ranking tells us that out of 100, a score of 2.33 is higher than about 99 of them.

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Answer:

117

Step-by-step explanation:

1,100 - 160 = 940

940 ÷ 8 = 117.5

you round down to 117

The set of numbers ordered correctly from least to greatest is:

16/9, 1.71, √π, 1 3/4.

1. Comparing 16/9 and 1.71:

  - 16/9 is approximately 1.777

  - 1.71 is less than 1.777.

  Therefore, 16/9 is greater than 1.71.

2. Comparing 16/9 and √π:

  - √π is approximately 1.772

  - 16/9 is greater than 1.772.

  Therefore, sqrt(pi) is less than 16/9.

3. Comparing 16/9 and 1 3/4:

  - 1 3/4 is equal to 1.75.

  - 16/9 is greater than 1.75.

  Therefore, 1 3/4 is less than 16/9.

So, the correct order from least to greatest is 16/9, 1.71, √π, 1 3/4.

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Answer:

V=1/3πSh=72π

Step-by-step explanation:

Need to find S(area):

S(triangle)=1/2x6x8=24(ft)

h=9(ft)

=> V=1/3πSh=72π

Answer:

Initial population = 313

Population after 5 hours = \(3.36 \times 10^{11}\)

Step-by-step explanation:

Let initial population = \(x\)

It is given that population gets doubled every 10 minutes.

Population after 10 minutes = \(2x\)

Population after 20 minutes = \(2^{2} x\)

:

:

Population after 80 minutes = \(2^{8} x\) and it is given as 80000.

\(\Rightarrow 2^{8} x = 80000\\\Rightarrow x = \dfrac{80000}{256}\\\Rightarrow x = 313\)

So, initial population is 312.5 = ~313

To find, population after 5 hours i.e. 5 \(\times\) 60 = 300 minutes

Population after 300 minutes =

\(2^{30} x\\\Rightarrow 2^{30} \times 313\\\Rightarrow 3.36 \times 10^{11}\)

So, the answers are:

Initial population = 313

Population after 5 hours = \(3.36 \times 10^{11}\)

Answer: The unit rate is the number of cars washed per minute. To find the unit rate, we need to divide the number of cars washed by the number of minutes.

3 cars / 27 minutes = 1/9 car/minute

To express the unit rate as a shaded fraction of a circle, we can divide the circle into 9 equal parts and shade 1 of those parts to represent the unit rate of 1/9 car/minute.

It is not possible to provide a shaded fraction of a circle here as it is a text based interface.

Step-by-step explanation:

The distance from the center of the circle to the outer edge is called radius of the circle.

Circle is a segment of line connected to it itself. It is a 2 dimensional structure measuring 360°. The outer edge of the circle is called circumference. Now, an interesting fact about the circle is that circumference is equi distant from the radius.

Therefore, be it any point on the circumference, it will be at the same distance from radius. If the radius is further extended to meet the opposite side of circumference, it will become a diameter. The total length of diameter however decreases as we move from center to top of the circle.

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Answer:

4x-5

Step-by-step explanation:

just simply the expression

have a great day and thx for your inquiry :)

To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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The rate of the square increasing when the area is 16 cm² is 64 cm²/s. The result is obtained by using basic derivative rules.

The rate of a square increasing can be counted by the derivative of the area of the square as a function of time.

dA/dt = 2s ds/dt

Where s is side length.

If each side of a square is increasing at a rate of 8 cm/s, what is the rate of the square increasing when the area is 16 cm²?

We have the side of the square as the function of time.

ds/dt = 8 cm/s

When the area is 16 cm², the side length is

A = s²

16 = s²

s = √16

s = 4 cm

The rate of the square increasing is

dA/dt = 2s ds/dt

dA/dt = 2 × 4 × 8

dA/dt = 64 cm²/s

Hence, the rate of the square increasing when the area is 16 cm² is 64 cm²/s.

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The set of real numbers includes both rational and irrational numbers.


1. Real numbers: Real numbers include all rational and irrational numbers. They can be represented on a number line and are not limited to whole numbers or integers.

2. Rational numbers: Rational numbers are numbers that can be expressed as a fraction or a ratio of two integers. They can be written in the form a/b, where a and b are integers and b is not equal to 0. For example, 3/4, -2/5, and 0.6 are all rational numbers.

3. Irrational numbers: Irrational numbers are numbers that cannot be expressed as a fraction or a ratio of two integers. They cannot be written in the form a/b. Examples of irrational numbers include √2, π (pi), and e.

Therefore, the set of real numbers includes both rational and irrational numbers.

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Answer:

22 and 23

Step-by-step explanation:

Step 1: Solve the square root

\( \sqrt{100 \times 5} \)

\( \sqrt{ {10}^{2} \times 5 } \)

We can move the 10² out because it matches the index of the root

\(10 \sqrt{5} \)

Step 2: Input into calculator to find decimals

\(10 \sqrt{5} = 22.36\)

Therefore the square root of 500 lies between 22 and 23

22 and 23

Because 5000 is between 222

(484) and 232 (529), the square root of 500 is in between 22 and 23..

There are 4 vertices with degree 3, and 2 vertices with degree 4. So, there are a total of 6 vertices in this graph.

In a simple undirected graph with 10 edges, 2 vertices have a degree of 4 and the rest have a degree of 3. To determine the number of vertices in this graph, use the formula:

Sum of degrees = 2 * number of edges

Let x be the number of vertices with degree 3. Then:

(2 * 4) + (3 * x) = 2 * 10

8 + 3x = 20

3x = 12

x = 4

We also know that two of the vertices have a degree of 4, which means that together they contribute 8 to the sum of all vertex degrees. This leaves us with 20 - 8 = 12 degrees left to distribute among the other vertices. Since the remaining vertices all have a degree of 3, we can set up the equation 3x = 12, where x is the number of remaining vertices. Solving for x, we get x = 4. Therefore, the graph has a total of 6 vertices - two with a degree of 4 and four with a degree of 3.

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There are 144 possible sequences of chip colors.

We can solve this problem by counting the number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7.

Let's consider all the possible sequences of chips that can be drawn from the bag. The first chip can be any of the 6 chips in the bag. For each chip color, there are different scenarios that can happen after drawing the first chip:

Therefore, the total number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7 is: 2 x 32 + 1 x 32 + 3 x 16 = 144

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Answer:

25 < t < 350

Step-by-step explanation:

The mean lifetime of a bulb ranges from 25 to 350 hrs but the question is unclear.

Answer: ≈ 572.55526

Step-by-step explanation:

A = πr2 = π(13.52) ≈ 572.55526

The area of the tire is 572.27 sq meters having a radius of 27 inches.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

If the diameter of the circle is 27 meters then the radius of the circle is

(27/2) = 13.5 meters.

So, the area of a tire with a radius of 13.5 meters is,

= π(13.5)² sq meters.

= 3.14×182.25 sq meters.

= 572.27 sq meters.

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Answer:

Step-by-step explanation:

2 • (n2 + 2n + 2)

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             N