What is the area of this isoceles trapezoid?

If  box is made out of a 20-inch x 20-inch piece of cardboard by folding then the volume is 8000 cubic inches

A box is made out of a 20-inch x 20-inch piece of cardboard by folding

The dimension of box are length 20 inches

Width is 20 inches

Height is 20 inches

Volume of box = length × width × height

=20×20×20

=8000 cubic inches

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The crossover point between the t-test and Z-test is typically considered to be a sample size of 30. This means that when the sample size is equal to or greater than 30, it is generally recommended to use the Z-test.

However, it's important to note that this cutoff point is not a strict rule and can vary depending on the specific context and requirements of the statistical analysis.

The t-test is used when the standard deviation of the population is unknown and needs to be estimated from the sample data. It is particularly useful when working with small sample sizes, where the variability of the population is less certain. The t-test takes into account the degrees of freedom, which is calculated based on the sample size minus one.

On the other hand, the Z-test is used when the standard deviation of the population is known or when the sample size is large. With a large sample size, the Central Limit Theorem ensures that the sample mean will be normally distributed, allowing for the use of the standard normal distribution (Z-distribution) in hypothesis testing.

The crossover point of 30 is a rough guideline that suggests that with a sample size of 30 or more, the sample mean distribution becomes approximately normally distributed, even without knowing the population standard deviation. This assumption allows for the use of the Z-test instead of the t-test, simplifying the calculations and interpretation of results.

It's important to consider other factors as well, such as the specific research question, data characteristics, and the desired level of confidence, when determining which test to use. Statistical software or consulting with a statistician can also help in making an informed decision based on the specific circumstances of the analysis.

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i cant give you the answer but i know how u can figure it out, go to g00gle calculator or look up "Algebra Calculator"....you wont regret it!!!

you have to try to find a fraction that is similar to the first. so 7/14 and 5/10, 6/12, 4/8, 3/6, 2/4, 1/2, so on and so forth. so x can equal any number related to 7/14.

 the number of ways to assign 20 different people to three different rooms with at least one person in each room.We can solve this problem using the concept of combinations and the Principle of Inclusion-Exclusion.

1. First, let's calculate the total number of ways to assign 20 people to 3 rooms without any constraints. This can be done using the multiplication principle: each person has 3 choices for a room, so there are 3^20 ways to assign the people.

2. Next, we need to subtract the cases where at least one room is empty. For this, we can use the Principle of Inclusion-Exclusion.

3. There are 3 ways to choose the empty room. Once we've chosen the empty room, there are 2 choices for each of the remaining 20 people, so there are 3 * 2^20 ways to assign people with exactly one empty room.

4. However, we have double-counted cases with two empty rooms, so we need to add them back. There are 3 ways to choose the room with people, and all 20 people will be in that room, so there are 3 ways to assign people with exactly two empty rooms.

5. Finally, we can calculate the answer by combining these cases:

Total ways = 3^20 - 3 * 2^20 + 3

This gives us the number of ways to assign 20 different people to three different rooms with at least one person in each room.

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Answer:

https://brainly.com/question/6423861

Step-by-step explanation:

Use link and give me 5 stars and brainliest

Answer: 25 or 40 i mostly think its 25

Step-by-step explanation:

(a) To write a cosine equation to model the height of a car above the ground relative to the angle from vertical, height of the car does not vary with angle from vertical since it is always at lowest point of Ferris wheel.

Since the lowest point of the Ferris wheel is 1.2 m above the ground, we can express the height of a car above the ground, h, as:

h = A + r*cos(θ),where A is the amplitude (the vertical shift) and r is the radius of the Ferris wheel. In this case, A = 1.2 m and r = 8 m (half the diameter of 16 m), so the cosine equation becomes:

h = 1.2 + 8*cos(θ).

(b) Similarly, to write a sine equation to model the height of a car above the ground relative to the angle from vertical, we can use the sine function. The sine equation is given by:

h = A + r*sin(θ).

Using the same values for A and r as before, the sine equation becomes:

h = 1.2 + 8*sin(θ).

(c) If the platform is moved so that riders enter the car at the lowest point on the Ferris wheel, the height of the car above the ground will remain constant at 1.2 m. Therefore, both the cosine equation and the sine equation would be simplified to:

h = 1.2.In this case, the height of the car does not vary with the angle from vertical since it is always at the lowest point of the Ferris wheel.

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Answer:

if you are solving for z it is:

Step-by-step explanation:

z=0,-2,1

Answer:

14

Step-by-step explanation:

Answer:

t + 4/10 >1

t + 4>1*10

t >10 - 4

t > 6

Answer:

Is A

Step-by-step explanation:

(2-4)/(-2--6) = -1/2

And the only answer that has -1/2 as the slope is A

Answer:

Table D is proportional

Step-by-step explanation:

the ratio of 2:1 is true throughout each coordinate pair.

Answer:

Table D

Step-by-step explanation:

Answer:

brainliest please

okay so angle O is connected to arc GU. to find angle O you musit find Arc GU

if Arc GO is 48 degrees and arc OU is 107 degrees, then you add those together.

107 +48=155

a circle has a total of 360 degrees

so 360-155= 205

205 is arc GU

205 divided by 2 will give you angle O

O is 102.5 degrees

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

x+16=4x-5

slove for x

The normal probability plot helps assess whether the effects follow a normal distribution, which is crucial for statistical analysis.

To construct a normal probability plot, the effects estimates are arranged in ascending order. Then, the corresponding z-scores (standardized values) are calculated based on the assumed normal distribution. The z-scores are plotted against the ordered effects.

By examining the normal probability plot, we can assess the linearity and randomness of the points. If the points follow a relatively straight line, it suggests that the effects are normally distributed. Deviations from linearity may indicate departures from normality.

Based on the shape of the normal probability plot, a tentative model can be inferred. If the points exhibit a linear pattern, it suggests that the main effects and interactions are important factors to consider. However, if there are outliers or non-linear patterns, it may indicate the presence of additional factors or the need for transformation of the data.

The normal probability plot provides valuable insights into the distribution of the effects and helps guide the selection of an appropriate statistical model. By examining the plot, researchers can make informed decisions about which effects are significant and whether any adjustments or transformations are needed to ensure the validity of the analysis.

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People do act differently on the internet due to anonymity. Anonymity provides a sense of detachment and reduced accountability, allowing individuals to express themselves more freely and engage in behavior they might not exhibit in offline interactions.

Anonymity on the internet creates a psychological barrier that alters people's behavior. When individuals are not required to disclose their true identity, they feel a sense of detachment from the consequences of their actions. This detachment reduces the fear of judgment or social repercussions, leading to a higher propensity for expressing thoughts, opinions, and emotions more freely. As a result, people often engage in behaviors such as trolling, cyberbullying, or engaging in controversial discussions that they might avoid in face-to-face interactions. The feeling of safety behind a screen allows individuals to shed inhibitions and act on impulses without immediate consequences.

Furthermore, the lack of personal accountability on the internet contributes to a phenomenon known as the online disinhibition effect. People feel less accountable for their actions when they are not directly confronted with the immediate consequences or the emotional impact it might have on others. This anonymity can lead to a sense of invincibility and a disregard for social norms, resulting in offensive or aggressive behavior that individuals would likely avoid in offline interactions. The perception of distance between online interactions and real-world consequences can lead to a dehumanization of others, making it easier to engage in disrespectful or harmful behavior.

In conclusion, anonymity on the internet plays a significant role in shaping people's behavior. It provides a sense of detachment and reduced accountability, enabling individuals to express themselves more freely and engage in behavior they might not exhibit in face-to-face interactions. This phenomenon highlights the importance of promoting digital empathy and responsible online behavior to create a more positive and inclusive online environment.

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Answer:

  15.4 cm

Step-by-step explanation:

You want the long side of a parallelogram with short side 12 cm, short diagonal 15 cm, and acute angle 65°.

The law of sines can be used to find long side 'b' from short side 'a' and short diagonal 'd'. But first, we need to know the angle B opposite the long side in the triangle with sides a, b, d.

Angle B can be found using the angle sum theorem if we can find the measure of acute angle A opposite side 'a'. The law of sines helps here:

  sin(A)/a = sin(65°)/d

  A = arcsin(a/d·sin(65°)) = arcsin(12/15·sin(65°)) ≈ 46.473°.

  B = 180° -65° -46.473° ≈ 68.527°

Finally, side 'b' is found from the relation ...

  b/sin(B) = d/sin(65°)

  b = 15·sin(68.527°)/sin(65°) ≈ 15.402

The length of the long side of the parallelogram is about 15.4 cm.

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Answer:

108 seconds and 0.03 hours

Answer:

20.14

Explanation:

The mean can be calculated as the sum of all the values divided by the total number of values. So:

Therefore, the answer is 20.14

The solution of the given equation \((4x-16)^{1/2} = 36\) is 328.

The given equation is:

\((4x-16)^{1/2} = 36\)

The solution of an equation is to find out the numeric value of the variable such that Left-hand side and Right-hand side becomes equal.

Squaring both sides of the given equation.

\([(4x-16)^{1/2} ]^2= (36)^2\)

\(4x-16 = 36^{2}\)

\(4x -16 =1296\)

\(4x =1296+16\)

\(4x = 1312\)

x= 328

Therefore, The solution of the given equation \((4x-16)^{1/2} = 36\) is 328.

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The value of x = 16, y = 172 and z = 2.

x - 4z = 12x - y - 6z = 42x + 3y - 2z = 8

let x - 4z = 8 be equation (1), 12x - y - 6z = 8 be equation (2) and 42x + 3y - 2z = 8 be equation (3)

x - 4z = 8

x = 8 + 4z

12x - y - 6z = 8

12(8 + 4z) -y - 6z =8

96 + 48z - y - 6z = 8

42z - y = -88

y = 42z + 88

42x + 3y - 2z = 8

42(8+4z) + 3(42z + 88) - 2z = 8

336 + 168z + 126z + 264 - 2z = 8

168z + 126z + 2z = 336+264 - 8

296z= 592

z = 2

substituting the value of z

x = 8 + 4z

= 8 + 4(2)

8+8 = 16

y = 42z + 88

42(2) + 88

84 + 88= 172

The value of x = 16, y = 172 and z = 2.

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Answer

\(y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49\)

Step by Step Explanation

Given

See attachment for table

Required

Determine the sinusoidal function

The sinusoidal function is represented as:

\(y = A \sin(Bx + C) + D\)

Where

\(|A| = Amplitude\)

And it is calculated as:

\(A = \frac{1}{2}[Highest - Least]\)

From the table:

Highest = 77 and Least = 21

So:

\(A = \frac{1}{2}[77 - 21]\)

\(A = \frac{1}{2}[56]\)

\(A = 28\)

B is calculated as:

\(Period = \frac{2\pi}{B}\)

The period is 12 i.e. 12 months

So:

\(\frac{2\pi}{B} = 12\)

\(B = \frac{2\pi}{12}\)

\(B = \frac{\pi}{6}\)

C is calculated as:

\(\frac{C}{B} = -4\)

\(C = -4 * B\)

\(C = -4 * \frac{\pi}{6}\)

\(C = -2 * \frac{\pi}{3}\)

\(C = -\frac{2\pi}{3}\)

Lastly, D is calculated as:

\(D = Least + A\)

So:

\(D =21 + 28\)

\(D=49\)

So, the function is:

\(y = A \sin(Bx + C) + D\)

\(y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49\)

Answer:

y=28 sin (pi/6 t - 7pi/6)+49

Step-by-step explanation:

Answer: $3.20

Step-by-step explanation:

SI = p *r * t

= 5.93 * 0.06 * 9

= 3.20

Answer:

$3.20

Step-by-step explanation:

Using Simple Interest = (principal) * (rate) * (time), we get:

= 5.93 * 0.06 * 9

= $3.20

Hope this helps!

The percentage of the markup in the amount is 12%

In this question, the figures are given as

Amount bought = 20500

Amount sold = 22960

These figures can be represented as

Initial amount = 20500

Final amount = 22960

The percentage of the markup is then calculated using the following markup equation

Markup percentage = (Final amount - Initial amount)/Initial amount * 100%

Substitute the known values in the above equation, so, we have the following representation

Markup percentage = (22960 - 20500)/20500* 100%

Evaluate

Markup percentage = 12%

Hence, the markup percentage is 12%

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Answer:

Find the domain for

y

=

√

x

−

1

so that a list of

x

values can be picked to find a list of points, which will help graphing the radical.

Tap for more steps...

Interval Notation:

[

1

,

∞

)

Set-Builder Notation:

{

x

|

x

≥

1

}

To find the radical expression end point, substitute the

x

value

1

, which is the least value in the domain, into

f

(

x

)

=

√

x

−

1

.

Tap for more steps...

0

The radical expression end point is

(

1

,

0

)

.

(

1

,

0

)

Select a few

x

values from the domain. It would be more useful to select the values so that they are next to the

x

value of the radical expression end point.

Tap for more steps...

x

y

1

0

2

1

3

1.41

image of graph

Step-by-step explanation:

The term civil disobedience suggest that make someone else to decide what is right or what is wrong.

As in the concept of Civil Disobedience, the author called Thoreau's basic premise is that a higher law than civil law demands the obedience of the individual. And it will also states that Human law and government are subordinate. According to the given cases where the two are at odds with one another, then the individual must follow his conscience and, and if is necessary, then it disregard human law.

And it will also states that a refusal to obey an order from a civil authority or public nonviolent violation of a legal prohibition. And then It can be an individual or corporate act. By those undertaking civil disobedience seek to understand and act on a higher law.

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The height of the building is 8 units if a girl is standing 8 units away from the building at point P.

To solve this problem, we'll use the tangent function. The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

In this case, the opposite side is the height of the building, which we want to find, and the adjacent side is the distance between the girl (point P) and the building. Since the angle of elevation is 45°, we can write the equation:

tan(45°) = height of the building / 8

Now, let's solve for the height of the building. We can start by finding the value of the tangent of 45°, which is 1.

1 = height of the building / 8

To isolate the height of the building, we multiply both sides of the equation by 8:

8 * 1 = height of the building

Simplifying the equation:

height of the building = 8

Therefore, the height of the building is 8 units.

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Complete Question:

1. Design a pole-placement controller to satisfy the following problem using angle of elevation use Matlab to aid in your calculations.

If a girl is standing at point P, which is 8 units away from a building, making an angle of elevation of 45° with point Q, find the height of the building.

Answer:

-18 + x = 11

x = 29

Step-by-step explanation:

To solve this, you can use the formula of a + b = c

\(-18 + x = 11\\-18 = 18\\11 + 18 = 29\\x = 29\)

Answer:

29

Step-by-step explanation:

Your equation can be -18+x=11. Since we don't know the number, we can use x. We are trying to find out a number that when it's added to -18, the answer will be 11.

Now, we solve the equation:

-18+x=11

x=11+18

x=29. Answer

To check this answer:

we can use our equation and substitute 29 for x.

-18+x=11

-18+(29)=11

11=11.

They are equal. Therfore, the answer is correct.

Multiplication is the process of multiplying. The total tax of Tegan's earnings will be £8,520(£6,400+£1,200).

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Since there is no tax for the first £11,000, therefore, the earnings upto £11,000 will be tax-free.

The amount of tax for the income of £11,000 to £43,000, will be,

20% of (£11,000 to £43,000)

= 20% × (£43,000 - £11,000)

= £6,400

The amount of tax for the income of £11,000 to £150,000, will be,

40% of (£43,000 to £48,300)

= 40% × (£5,300)

= £2,120

Hence, the total tax of Tegan's earnings will be £8,520(£6,400+£1,200).

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Answer:

£8520

Step-by-step explanation: