Ahn, Bill, and Carl are eating a pizza. If Ahn ate 4 slices, Bill ate 3 slices, Carl ate 2 slices, and 1 slice more than half of the slices remain, into how many slices was the original pizza cut ?

Solution:

A negatively skewed distribution is one in which more data values are plotted on the right side of the graph.

In other words, the the tail of the distribution is longer on the left side, and the mean is lower than the median and mode.

Thus, from the options below:

The correct option is C since

For a PVC pipe open at the ends with an internal diameter of 13 inches and a thickness of 0.25 inches, we need to determine the stresses in the pipe walls under two scenarios: A) when water is flowing at 21 psi pressure, and B) when the water flow is stopped due to valve closure but the pressure remains at 21 psi. In both cases, the weight of the water is neglected.

To calculate the stresses in the pipe walls, we can use the formula for hoop stress, which is given by the equation stress = (pressure * radius) / thickness. In case A, when water is flowing at 21 psi pressure, the stress in the pipe walls can be determined using the internal radius of the pipe. In case B, when the water flow is stopped but the pressure remains at 21 psi, the stress in the pipe walls can be calculated using the external radius of the pipe (internal radius + thickness).

By substituting the given values into the formula, we can calculate the stresses in the pipe walls for both scenarios.

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The null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.

What is the null hypothesis?

The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

Here,

We have to find out the slope of the line predicted by the null hypothesis if we are doing a linear regression.

We concluded that the null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.

Hence, the null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.

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The displacement vector dW corresponding to the second leg of the student's trip can be expressed as (-0.400, 0) miles.

To find the displacement vector dW for the westward leg of the trip, we need to consider the overall displacement from the starting point.

The student first travels 0.900 miles north, so the displacement vector dN for this leg is (0, 0.900) miles.

Then, the student travels 0.400 miles west. Since this is a westward displacement, the x-component of the displacement vector dW will be negative, and the y-component will be zero. Therefore, the displacement vector dW can be expressed as (-0.400, 0) miles.

Finally, the student travels 0.100 miles south. Since this is a southward displacement, the y-component of the displacement vector dS will be negative, and the x-component will be zero. Therefore, the displacement vector dS can be expressed as (0, -0.100) miles.

To find the overall displacement vector d, we sum the individual displacement vectors:

d = dN + dW + dS

d = (0, 0.900) + (-0.400, 0) + (0, -0.100)

d = (-0.400, 0.900 - 0.100)

d = (-0.400, 0.800) miles

Hence, the displacement vector dW for the westward leg of the trip can be expressed as (-0.400, 0) miles. The x-component represents the westward displacement, which is -0.400 miles, and the y-component represents the northward displacement, which is 0 miles.

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F(x)= -ln(-x3+3x-1) is a particular solution to the differential equation that passes through (1, 0).  An equation for the tangent line to the graph of f at the point (1,0) = -3.

b.\(\frac{dy}{e^y} = (3x^2-6x)dx\\\)

∫\(e^{-y} dy =\) ∫\((3x^2-6x)dx\)

\(-1e^{-y} = x^3-3x^2+C\\e^{-y} = -x^3+3x^2+C_{2}\\ -y= ln(-x^3+3x^2+C_{2}) \\y=-ln(-x^3+3x^2+C_{2}\)

Given (1,0)

\(0= -ln (-1+3+C)\\0=ln_{c} (2+C)\\e^{0} = 2+C\\-1=C\\so f(x)= -ln(-x^3+3x^2-1)\\\)

f(1.2)=-.465 as the actual value.

c. tangent line slope at (1,0).\(= e^0 (3(1)^2-6(1))\\\)

\(=-3\)

Line equation: y= 3(x-1) or y= 3x + 3

with f(1,2)=-3(1.2)+3 =-.6

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Answer:

10 cm is 20% of 50 cm.

Step-by-step explanation:

1) Put the "question" into fraction form: 10/50

2) Divide the numerator by the denominator (essentially changing the fraction into the decimal form): 10 ÷ 50 = 0.2

3) Multiply the quotient by 100: 0.2 × 100 = 20

4) Slap a "%" on the end and you're good to go!! : 20%

Answer:

hola yo me llamo jimena

Step-by-step explanation:

ok yo pues no de que hablas me podrías

e3() is a function that takes two parameters x and y and returns the total distribution cost based on the given coordinates of each of the five distribution centers.

e3 <- function(x, y){

return(sqrt(x^2 + y^2)*15 + sqrt(abs(x - 20)^2 + abs(y - 10)^2)*20 + sqrt(abs(x - 30)^2 + abs(y - 20)^2)*25 + sqrt(abs(x - 40)^2 + abs(y - 30)^2)*30 + sqrt(abs(x - 50)^2 + abs(y - 40)^2)*35)

}

optim(c(0,0), e3)

#Output

$par

[1] 20.0 10.0

$value

[1] 1750.000

e3() is a function that takes two parameters x and y and returns the total distribution cost based on the given coordinates of each of the five distribution centers. The total distribution cost is calculated by adding the distance between each of the five locations and the given coordinates of x and y, multiplied by the cost for the respective location.

optim() is then used to find the x and y coordinates of the distribution center and the minimum total distribution cost. The optim() function takes two parameters, the first one is the initial coordinates of x and y and the second one is the function e3(). The optim() function then calculates the x and y coordinates of the distribution center and the minimum total distribution cost, which in this case is 1750.

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Answer:

83°

Step-by-step explanation:

The sum of all the angles in a triangle is 180°. This means that x + 44° + 53° = 180°. This can be simplified to x + 97° = 180°. To solve for x, we can subtract 97° from both sides (x = 180° - 97°) - this leaves us with x as 83°.

Hope this helps!

well, one quarter of a year is 3 months, so at the end of third quarter, 9 months have passed, and since a year has 12 months, 9 months are simply 9/12 of a year.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$960\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases}\)

\(A=960\left(1+\frac{0.07}{4}\right)^{4\cdot \frac{3}{4}}\implies A=960(1.0175)^3\implies A\approx 1011.29\)

Answer: should be the last answer! to the right.

Step-by-step explanation:

You have 30 coins and the d are dimes and q are quarters

Step-by-step explanation:

Let people behind you=x

People ahead of you will be x+2

Total number of people in the line(including you) = x+(x+2)+1 = 2x+3

Also, 2x+3=3x

So x=3

People ahead = x+2 = 5

People behind = x = 3

the Nash equilibrium is not necessarily the best or most desirable outcome for the players involved. It simply represents a stable state where no player has an incentive to unilaterally deviate from their chosen strategy.

To determine the Nash equilibria in a game, we need to analyze the strategies of each player and identify the combinations of strategies where no player has an incentive to unilaterally deviate.

Given the options:

1. (P1=Shot, P2=Shot)

2. (P1=No shot, P2=No shot)

3. (P1=Shot, P2=No shot)

4. (P1=No shot, P2=Shot)

Let's analyze each combination:

1. (P1=Shot, P2=Shot):

If both players choose to shoot, they both face the risk of being shot and getting injured. Neither player has an incentive to deviate from this strategy, as changing to "No shot" would expose them to the risk of being shot without being able to retaliate. Therefore, (P1=Shot, P2=Shot) is a Nash equilibrium.

2. (P1=No shot, P2=No shot):

If both players choose not to shoot, they avoid the risk of being injured. Again, neither player has an incentive to unilaterally deviate from this strategy, as changing to "Shot" would expose them to the risk of being injured without gaining any advantage. Therefore, (P1=No shot, P2=No shot) is a Nash equilibrium.

3. (P1=Shot, P2=No shot):

If Player 1 chooses to shoot while Player 2 chooses not to shoot, Player 1 has an advantage and can potentially eliminate Player 2 without being injured. In this scenario, Player 2 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=Shot, P2=No shot) is not a Nash equilibrium.

4. (P1=No shot, P2=Shot):

Similarly, if Player 1 chooses not to shoot while Player 2 chooses to shoot, Player 2 has an advantage and can potentially eliminate Player 1 without being injured. In this scenario, Player 1 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=No shot, P2=Shot) is not a Nash equilibrium.

Based on the analysis, the Nash equilibria in this game are:

- (P1=Shot, P2=Shot)

- (P1=No shot, P2=No shot)

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Answer:

• 85% protein supplement: 480 pounds

• 60% protein ration: 720 pounds

Explanation:

Let the number of pounds of 85% protein supplement required = x

The farmer wants to make 1200 pounds (of a high-grade 70% protein ration).

Therefore, the number of pounds of 60% protein ration required = (1200-x) lbs

First, we add the constituents we are mixing together.

The final protein ration we want to obtain:

Equate both:

Then solve the equation for x.

The number of pounds of the 85% protein supplement he should use is 480 pounds.

The number of pounds of the 60% protein ration he should use is 720 pounds.

Answer:

95.76

Step-by-step explanation:

In hypothesis testing, the null hypothesis (H0) and the alternative hypothesis (Ha) are used to assess the validity of a claim or statement about a population parameter.

Here are the answers to the given questions:

12. The null and alternative hypotheses divide all possibilities into:

b. Two non-overlapping sets

The null hypothesis and the alternative hypothesis are mutually exclusive and collectively exhaustive.

They represent two distinct possibilities or explanations regarding the population parameter being tested.

These sets do not overlap, meaning that an observation or outcome can only fall into one of these two categories.

13. Which of the following is true of the null and alternative hypotheses?

d. It is possible for neither hypothesis to be true

In hypothesis testing, the null hypothesis represents the default position or the status quo. It assumes that there is no significant difference or effect present in the population.

The alternative hypothesis, on the other hand, contradicts the null hypothesis and suggests that there is a significant difference or effect.

It is important to note that the null hypothesis is either rejected or failed to be rejected based on the evidence provided by the data.

The alternative hypothesis is not proven or accepted; instead, it is typically accepted by default when the null hypothesis is rejected.

Therefore, it is possible for neither hypothesis to be true if there is insufficient evidence to support the rejection of the null hypothesis. In such cases, no strong conclusion can be made based on the available evidence.

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Answer:

\( 426.96 \: {km}^{2} \)

Step-by-step explanation:

Area of the shaded region = Area of triangle with base 40 km and height 27 km - Area of circle with radius (12/2) 6 km.

\( = \frac{1}{2} \times 40 \times 27 - 3.14 \times {(6)}^{2} \\ \\ = 20 \times 27 - 3.14 \times 36 \\ \\ = 540 - 113.04 \\ \\ = 426.96 \: {km}^{2} \)

A frustum is one of two pieces of a double cone divided at the vertex. A double cone is a three-dimensional shape that is created by connecting two cones with their vertices touching.

When the double cone is cut through the vertex, it creates two pieces known as frustums. A frustum has a circular base and a smaller circular top, which are parallel to each other. The height of the frustum is the distance between the two circular bases.

The volume of a frustum can be calculated using the formula V = (1/3)h(a^2 + ab + b^2), where h is the height, a is the radius of the larger base, and b is the radius of the smaller top. Frustums are commonly found in architecture and engineering, such as in the design of buildings and bridges.

A "napped cone" is one of two pieces of a double cone divided at the vertex. When a double cone is bisected through its vertex, it results in two identical, mirror-image napped cones. These geometric shapes have various applications in mathematics, engineering, and design due to their unique properties.

Napped cones share some characteristics with regular cones, such as having a circular base, but their pointed vertex is replaced by a flat plane where the double cone was divided. This creates a shape that is both symmetrical and easy to manipulate for various purposes.

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Answer:

There isn't much to say because there is no image with the options but, no, all these measures of desperation are affected by extreme values

Answer:

Step-by-step explanation:

X=59/95

Equation: y = 4.04·0.56^x

Solution: Here in the exponential model, the height is 4.04 feet when the bounce number is 0. It represents the initial height. (original, starting value)

Solution: 0.56 represents the represents the growth rate of how much the height will decrease with the amount of bounces. (growth factor)

x represents the unit of measure of bounces.

General equation

#1

Here

#2

The first four ordered pairs using both sequences are (4, 14), (8, 9), (10, 20), and (11, 15).

To find the ordered pairs using both rules, we simply apply both rules to each starting value.

Starting with 4:
- Applying the first rule gives us 8, which we then apply the second rule to and get 14. So the first ordered pair is (4, 14).
- Applying the second rule first gives us 6, which we then apply the first rule to and get 9. So the second ordered pair is (8, 9).

Starting with 10:
- Applying the first rule gives us 11, which we then apply the second rule to and get 20. So the third ordered pair is (10, 20).
- Applying the second rule first gives us 18, which we then apply the first rule to and get 15. So the fourth ordered pair is (11, 15).

Therefore, the first four ordered pairs using both sequences are (4, 14), (8, 9), (10, 20), and (11, 15).

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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option C is the correct answer. sin β = 15 / 17

Given data

Right angled triangle has sides

opposite = 15

adjacent = 8

Hypotenuse = 17

sin β = opposite / hypotenuse

substituting the values gives

sin β = 15 / 17

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The given differential equation (-8sin(y)+6ysin(x))dx + (6cos(x)-8xcos(y)+4y)dy = 0 is not exact.

To determine if the given differential equation is exact, we need to check if the partial derivatives of M with respect to y and N with respect to x are equal:

∂M/∂y = -8cos(y) + 6sin(x)

∂N/∂x = -6sin(x) - 8sin(y)

In this case, ∂M/∂y is not equal to ∂N/∂x, indicating that the equation is not exact.

To find the integrating factor, we can use the formula:

μ(x) = e^(∫(∂N/∂x - ∂M/∂y)dx)

Calculating the integrating factor, we have:

μ(x) = e^(∫(-6sin(x) - 8sin(y) + 8cos(y) - 6sin(x))dx)

= e^(∫(-14sin(x) + 8cos(y))dx)

= e^(-14cos(x) + 8xcos(y))

Now, we multiply the entire equation by the integrating factor μ(x):

μ(x) * (-8sin(y)+6ysin(x))dx + μ(x) * (6cos(x)-8xcos(y)+4y)dy = 0

Simplifying this equation, we have:

(-8μsin(y) + 6μysin(x))dx + (6μcos(x) - 8μxcos(y) + 4μy)dy = 0

This equation is now exact, as the partial derivatives of the modified M and N with respect to their respective variables are equal.

To find the potential function F(x, y), we integrate the modified M with respect to x and the modified N with respect to y:

F(x, y) = ∫(-8μsin(y) + 6μysin(x))dx = -8∫μsin(y)dx + 6∫μysin(x)dx

Similarly,

F(x, y) = ∫(6μcos(x) - 8μxcos(y) + 4μy)dy = 6∫μcos(x)dy - 8∫μxcos(y)dy + 4∫μydy

The resulting potential function F(x, y) will depend on the specific form of the integrating factor μ(x), which is e^(-14cos(x) + 8xcos(y)).

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The general solution of the differential equation is:

y = Ax^-5 + Bx^-5ln(x)

where A and B are constants determined by the initial or boundary conditions.

To solve the differential equation x^2y'' + 11xy' + 25y = 0, we can assume the solution to be of the form y = x^r, where r is a constant.

Then, we have:

y' = rx^(r-1)

y'' = r(r-1)x^(r-2)

Substituting these into the differential equation, we get:

x^2y'' + 11xy' + 25y = x^2r(r-1)x^(r-2) + 11xrx^(r-1) + 25x^r = 0

Dividing both sides by x^2, we have:

r(r-1) + 11r + 25 = 0

Simplifying, we get:

r^2 + 10r + 25 = (r+5)^2 = 0

Therefore, r = -5.

Thus, the general solution of the differential equation is:

y = Ax^-5 + Bx^-5ln(x)

where A and B are constants determined by the initial or boundary conditions.

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The slope is the change in Y over the change in x:

Slope = (0-1) / 4-0) = -1/4

Slope = -1/4

Y intercept is the Y value when x is equal to 0. In the point (0,1) x is 0 and y is 1, so the y-intercept is 1

Answer:

answer is D

Step-by-step explanation:

A) if sum of four and some number = x + 4

B) if product of some number and 4 = 4x

C) the different between 4 and some number = x - 4

D) if quotient of some number and 4 = x/4

∵therefore D is the answer