Find the length of AB.
00240°
AB = [? ]m
140°
8 m
B
Round your answer to the nearest hundredth.

The correction factor that should be used to compute the standard error is 2.326. When constructing a confidence interval for the mean, we use the formula:

CI = X ± tα/2 (SE)

Where X is the sample mean, tα/2 is the critical value from the t-distribution with (n-1) degrees of freedom, and SE is the standard error of the mean. Since the population size is finite and the sample size is less than 10% of the population size, we need to use a correction factor to adjust for the bias in the standard error calculation. The correction factor is calculated as:

CF = sqrt((N-n)/(N-1))

Where N is the population size and n is the sample size. In this case, the correction factor is:

CF = sqrt((1000-100)/(1000-1)) = 0.993

Therefore, the corrected standard error is:

SE* = SE * CF = SE * 0.993

To find the critical value, we need to look up the t-score in a t-table with (n-1) degrees of freedom and a confidence level of 98%. This gives us a critical value of 2.326. Therefore, the final formula for the confidence interval is:

CI = X ± 2.326(SE*)

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Answer:

\( \overline{pv} = \boxed{14} \\ \overline{qu} = \boxed{66} \\ \overline{vs} = \boxed{12} \\ \)

Step-by-step explanation:

\( if \: \overline{qv} = 14 \\ if \: \overline{rs} = 66 \\ if \: \overline{vt} = 12 \\ then \to \: \\ \overline{qv} = \boxed{ \overline{pv} = 14} \\ \overline{qv} \: is \: also \: = \overline{rv} = 14. \\ \overline{rs} = \boxed{ \overline{qu} = 66} \\ \overline{rs} \: is \: also \: = \overline{pt} = 66. \\ \overline{vt} = \boxed{ \overline{vs} = 12} \\ \overline{vt} \: is \: also \: = \overline{uv} = 12.\)

♨Rage♨

The perimeter of the triangle is 5x + 12 inches

From the question, we have the following parameters that can be used in our computation:

Lengths = 7 inches, 4x + 1 and x + 4

The perimeter of a triangle is the sum of the side lengths

so, we have

Perimeter = sum of side lengths

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

Perimeter = 7 + 4x + 1 + x + 4

Evaluate the sum

Perimeter = 5x + 12

Hence, the perimeter is 5x + 12

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if the family gives up two nights in the hotel, they could afford d) 5 meals

The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:

$800 / 8 nights = $100 per night

Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:

$200 / $40 per meal = 5 meals

Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.

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The separation of powers is a fundamental principle of modern democratic government. It refers to the division of political authority among different branches of government, such as the executive, legislative, and judicial branches.

The idea is that by dividing power in this way, no single branch of government can become to govern powerful, which helps to prevent abuses of power and ensure that government serves the people.

Each branch of government has its own distinct powers and responsibilities, and is meant to serve as a check on the other branches. For example, the executive branch is responsible for enforcing laws, while the legislative branch is responsible for making them. Meanwhile, the judicial branch is responsible for interpreting the law and ensuring that it is applied fairly.

The separation of powers has been a cornerstone of democratic government for centuries. It is an essential safeguard against authoritarianism, and helps to ensure that government remains accountable to the people it serves. While different countries have different approaches to the separation of powers, the principle remains a vital component of modern democratic governance.

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To prove the converse of the Vertical Angles Theorem, we need to show that if angles LDBC and LABE are congruent and points D, B, and E are on opposite sides of line AB, then they must be collinear.

Given: ∠LDBC ≅ ∠LABE

To Prove: D, B, and E are collinear

Proof:

1. Assume that points D, B, and E are not collinear.

2. Let BD intersect AE at point X.

3. Since D, B, and E are not collinear, then X is a point on line AB but not on line DE.

4. Consider triangle XDE and triangle XAB.

5. By the Alternate Interior Angles Theorem, ∠XAB ≅ ∠XDE (corresponding angles formed by transversal AB).

6. Since ∠LDBC ≅ ∠LABE (given), we have ∠LDBC ≅ ∠XAB and ∠LABE ≅ ∠XDE.

7. Therefore, ∠LDBC ≅ ∠XAB ≅ ∠XDE ≅ ∠LABE.

8. This implies that ∠XAB and ∠XDE are congruent vertical angles.

9. However, since X is not on line DE, this contradicts the Vertical Angles Theorem, which states that vertical angles are congruent.

10. Therefore, our assumption that D, B, and E are not collinear must be false.

11. Thus, D, B, and E must be collinear. Therefore, the converse of the Vertical Angles Theorem is proven, and we can conclude that if ∠LDBC ≅ ∠LABE and D, B, and E are on opposite sides of line AB, then D, B, and E are collinear.

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2x²+3x+7=x

2x²+3x-x+7=0

2x²+2x+7=0

The function with an amplitude of 3 and a phase shift of π/2 is h(x) = 3 cos (2x - π/2) + 3.

The amplitude of a function is the distance between the maximum and minimum values of the function, divided by 2. The phase shift of a function is the horizontal shift of the function from the standard position,

(y = cos(x) or y = sin(x)).
To find the function with an amplitude of 3 and a phase shift of π/2, we need to look for a function that has a coefficient of 3 on the cosine term and a horizontal shift of π/2.
Looking at the given options, we can eliminate option a) because it has a coefficient of -3 on the cosine term, which means that its amplitude is 3 but it is inverted.

Option b) has a coefficient of 3 on the cosine term but it has a phase shift of -π/2, which means it is shifted to the left instead of to the right. Option d) has a phase shift of π/2, but it has a coefficient of -2 on the cosine term, which means its amplitude is 2 and not 3.
A*cos(B( x - C)) + D

Where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

f(x) = -3 cos(2x - π) + 4

Amplitude: |-3| = 3

Phase shift: π (not π/2) b) g(x) = 3cos(2x + π) -1

Amplitude: |3| = 3

Phase shift: -π (not π/2) c) h(x) = 3 cos (2x - π/2) + 3

Amplitude: |3| = 3

Phase shift: π/2 d) j(x) = -2cos(2x + π/2) + 3200

Amplitude: |-2| = 2 (not 3)

Phase shift: -π/2
Therefore, the only option left is c) h(x) = 3 cos (2x - π/2) + 3. This function has a coefficient of 3 on the cosine term and a horizontal shift of π/2, which means it has an amplitude of 3 and a phase shift of π/2.
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The rational number between the square root of 7 and the square root of 8 is 27/10

Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.

This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals

The features of the rational number are given as

Value = between the square root of 7 and the square root of 8

Rewrite the value properly

So, we have

Value = between √7 and √8

Evaluate the values of √7 and √8

So, we have

√7 = 2.65

√8 = 2.83

This means that the rational number is between 2.65 and 2.83

A number between 2.65 and 2.83 is 2.7

Express as fraction

value = 27/10

Hence, the rational number between the square root of 7 and the square root of 8 is 27/10

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After performing these calculations using a calculator or a program like Python, MATLAB, or Excel, you will have the values of the first 10 iterations of Newton's method for the given function and initial approximation.

To compute the first 10 iterations of Newton's method for the given function and initial approximation, follow these steps:

1. Write down the function and its derivative:

\(f(x) = 4 * tan(x) - 6 * x  

f'(x) = 4 * sec^2(x) - 6\)
2. Define the initial approximation, X₀ = 1.4.

3. Apply Newton's method formula to find the next approximation, X₁:
  X₁ = X₀ - f(X₀) / f'(X₀)

4. Repeat steps 3-4 for a total of 10 iterations (X₁ to X₁₀).

Note that I'm unable to perform calculations on this platform, but I'll provide a general outline for performing the iterations:

Iteration 1 (X₁):
\(X₁ = 1.4 - (4 * tan(1.4) - 6 * 1.4) / (4 * sec^2(1.4) - 6)\)

Iteration 2 (X₂):
\(X₂ = X₁ - (4 * tan(X₁) - 6 * X₁) / (4 * sec^2(X₁) - 6)\)

Repeat these steps up to the 10th iteration (X₁₀).

After performing these calculations using a calculator or a program like Python, MATLAB, or Excel, you will have the values of the first 10 iterations of Newton's method for the given function and initial approximation.

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Answer: look at explanation

Step-by-step explanation: add the amount it will take for each value to transform into what you want these values to add are online

The area between one standard deviation and either side of mean is 34%

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ)

95% within the first two standard deviations (µ ± 2σ)

99.7% within the first three standard deviations (µ ± 3σ).

According to the question,

If we place the flag 1 standard deviation on either side of the mean

which means flag is placed either on (µ + σ) or ( (µ - σ)

and Using Empirical rule,

68% of area lie under (µ ± σ)

Therefore , Area between either  (µ + σ) or ( (µ - σ) = 68 / 2

=> 34%

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Answer:

\(1078\)

Step-by-step explanation:

\(9800 \times \frac{11}{100} = 1078\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

Cost of two tickets = 2 * 30 = £60

Let the amount with Puvi = £x

Money spent on dinner = (1/3)*x

                                        \(= \dfrac{1}{3}x\)

\(Remaining \ money =x - \dfrac{1}{3}x =\dfrac{3}{3}x-\dfrac{1}{3}x=\dfrac{2}{3}x\)

\(Money \ spent \ on \ dessert = \dfrac{1}{4} *\dfrac{2}{3}x =\dfrac{1}{6}x\\\\\\\)

Total money - money spent on dinner - money spent on dessert = 60

\(x -\dfrac{1}{3}x -\dfrac{1}{6}x=60\\\\\\\dfrac{6}{6}x-\dfrac{1*2}{3*2}-\dfrac{1}{6}x =60\\\\\\\dfrac{6}{6}x-\dfrac{2}{6}x-\dfrac{1}{6}x=60\\\\\\\dfrac{6-2-1}{12}x=60\\\\\\\dfrac{3}{12}x=60\\\\\\x=60*\dfrac{12}{3}=60*4=240\)

Money that Puvi had at the start of the night = £ 240

Using the definition of inverse functions we will get:

Remember that by the definition of inverse functions, we have 2 rules.

if f(x) = y, then f⁻¹(y) = x

And:

f( f⁻¹(x)) = x

f⁻¹(f(x)) = x

Using the second one, we can solve the first part.

f⁻¹(f(576)) = 576

Now for the second one, in the table we can see that:

f(-7) = 7

and:

f(6) = -7, then  f⁻¹(-7) = 6

Then we can write:

f⁻¹(-7)  + f(-7) = 7 + 6 = 13

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Given that x = 8, y = 2, and z = 3, the inequality x + y > z + y is true.

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To check if the inequality x + y > z + y is true when x = 8, y = 2, and z = 3, plug in or substitute the value of each variable to the inequality and evaluate.

x + y > z + y

8 + 2 > 3 + 2

10 > 5

Since 10 is greater than 5, the given values satisfies the inequality, then the statement is true.

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Answer:

100, 101, 102, 103, 104

Step-by-step explanation:

Basically, if the units (or ones, it's the same thing) digit of the first number is 0, the units digit of the second number should be 1, then 2, and so on. Therefore, one possible list of numbers is as follows: 100, 101, 102, 103, 104.

Answer: x = 8

Step-by-step explanation:

because x + 7 = 15, you can subtract 7 from both sides to get x = 8.

Hope it helps <3

Answer:

8

Step-by-step explanation:

x + 7 = 15

x = 15 - 7

x = 8

Thus, the value of x is 8

Answer: angle 5 =  55 degrees, angle 6 = 125 degrees, angle 7 = 55 degrees, angle 8 = 125 degrees

Answer:

answer is c

Step-by-step explanation:

The circumference of the circle in terms of π whose radius is given would be = 63π. That is option D.

To calculate the circumference of a circle, the formula that should be used would be given below.

That is;

circumference of circle= 2πr

The radius = 31½

circumference = 2×π × 31½

= 2×π× 63/2

= 63π

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The electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.

To determine the electron domain charge cloud geometry of \(BrF_5\), we need to examine the number of electron domains around the central atom (Br).

\(BrF_5\) consists of one central bromine atom (Br) surrounded by five fluorine atoms (F). Each bond and lone pair of electrons represents an electron domain.

In \(BrF_5\), there are five bonding pairs (Br-F) and no lone pairs around the central bromine atom. Therefore, the total number of electron domains is five.

Based on this information, the electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.

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Answer:4.62x10^13

Step-by-step explanation:

Answer:

AB=

\( \sqrt{260} \)

Step-by-step explanation:

plz mark as brainliest if it helps

Answer:

12 gallons/hour or 1 gallon/5 minutes (1/12 gallon)

Step-by-step explanation:

assuming gravity can capilary action can be ignored amd has nothing to do with it, 20 minutes is 4 gallons of water gone, so 5 minutes for 1 gallon of water gone. 60 minutes in an hour, so 12 gallons per 60 minutes

We do not have enough evidence to conclude that the average height of 7th graders has increased.

Null Hypothesis (H0): The average height of 7th graders has not increased (μ <= 145 cm)

Alternative Hypothesis (Ha): The average height of 7th graders has increased (μ > 145 cm)

We will use a one-tailed test since we are testing for an increase in height.

We need to compute the test statistic to make a decision.

z = (X - μ) / (σ / √n)

where X is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Here, X = 147 cm, μ = 145 cm, σ = 20 cm, and n = 200.

z = (147 - 145) / (20 / √200) = 1.41

Using a one-tailed table with a significance level of 0.01, the critical value is 2.33.

Since the calculated test statistic (1.41) is less than the critical value (2.33), we fail to reject the null hypothesis.

Therefore, we do not have enough evidence to conclude that the average height of 7th graders has increased.

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