Complete the proof.
Given: 8 - 3x / 4=32
Prove: x=-40
Proof:

1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

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The results of a study are said to be replicable when researchers using new subjects come to the same conclusion. Replicability is important in research as it ensures the validity and reliability of the study findings.

The results of a study are said to be replicable when researchers using new subjects come to the same conclusion. Replicability is an important aspect of scientific research because it ensures that the findings are not simply a result of chance or bias. If a study cannot be replicated, it may be difficult to draw firm conclusions or generalize the findings to a broader population. However, it is important to note that replicability does not guarantee that the study is both statistically significant and meaningful.

A study may be replicable but still have limited practical or theoretical value. The p-value and significance level are important measures of statistical significance, but they do not necessarily indicate replicability. Finally, while statistics are knowable, parameters (such as population mean or variance) are typically unknown and must be estimated from the sample data.

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Taking the data into consideration, we can calculate and conclude that the temperature at midnight was -4, through the use of an equation.

According to the prompt, the temperature is now -7. We also know that, since midnight, the temperature tripled and then rose 5 degrees.If we let x be the temperature at midnight, then we can set up the following equation:

3x + 5 = -7

Subtracting 5 from both sides, we get:

3x = -12

Dividing by 3, we get:

x = -4

Therefore, the temperature at midnight was -4 degrees. With that in mind, we conclude we have correctly answered this question.

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Margin of error is 9.8% for 95% confidence.

To estimate the margin of error for the given confidence level, we can use the formula for the margin of error of a proportion:

Margin of error = z * sqrt(p_hat * (1 - p_hat) / n)

where z is the z-score corresponding to the desired confidence level, p_hat is the sample proportion, and n is the sample size.

In this case, we are given the sample size (n) and the sample proportion (p_hat), but we need to find the appropriate z-score for the desired confidence level. Let's assume that the desired confidence level is 95%.

This means that we want to find the z-score that corresponds to an area of 0.025 in the upper tail of the standard normal distribution (since the normal distribution is symmetric, there is also an area of 0.025 in the lower tail).

Using a standard normal table or calculator, we can find that the z-score corresponding to an area of 0.025 in the upper tail is approximately 1.96.

Now we can plug in the values into the margin of error formula:

Margin of error = 1.96 * sqrt(0.5 * (1 - 0.5) / 100)

where p_hat = 0.5 (since we don't know the actual probability of getting heads, we assume it to be 0.5 for the sake of calculation).

Simplifying the equation, we get:

Margin of error ≈ 0.098

So the margin of error for a 95% confidence level is approximately 0.098 or 9.8%. This means that we can estimate with 95% confidence that the true probability of the coin landing heads is within the range of p_hat ± 0.098.

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The ERP system is originally configured to handle the transactional component rather than supporting the reporting component.

The ERP System is a form of software used by businesses to handle day-to-day business operations in a company such as finance, marketing, project management, regulatory risk management, as well as, supply chain management.

The primary goal of an ERP system is to improve organizational efficiency by controlling and improving how corporate resources are used. Therefore, the ERP system is originally configured to handle the transactional component rather than supporting the reporting component.

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The number of mangoes that Zolo will receive is given as follows:

100 mangoes.

The number of mangoes that each person will receive is obtained applying the proportions in the context of the problem.

The number of mangoes collected by each of the three friends is given as follows:

Hence the total number of mangoes collected by the three friends is given as follows:

84 + 96 + 120 = 300.

Each person will receive an equal amount of mangoes, hence the amount of mangoes received by each person is obtained as follows:

300/3 = 100 mangoes.

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Answer:

Step-by-step explanation:

Use Pythagorean to work out the side length.

The perimeter is:

Answer:

102 cm is the perimeter of the rhombus

The simplified form of the expression (2y³v⁴)²/-u⁻¹v³ is - 8y⁶v⁵u¹.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An exponential expression (2y³v⁴)²/-u⁻¹v³.

= - 2³y⁶v⁸/u⁻¹v³.

= - 8y⁶v⁸u¹/v³.

= - 8y⁶v⁵u¹.

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The explicit formula for the sequence is \(a_n = 125 \times (\frac{1}{5})^{n-1}\).

A geometric sequence is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed constant. This fixed constant is called the common ratio and is denoted by the letter r.

\(\mathrm{ \large{a_n }= a_1 \times r^{n-1} }\)

where aₙ is the nth term of the sequence, a₁ is the first term of the sequence, r is the common ratio, and n is the position of the term in the sequence.

The common ratio of a geometric sequence determines how quickly the terms increase or decrease. If the common ratio is greater than 1, the terms will increase exponentially. If the common ratio is between 0 and 1, the terms will decrease exponentially. If the common ratio is negative, the terms will alternate between positive and negative values.

The sum of a finite geometric sequence can be calculated using the formula:

\($\mathrm{S_n = a_1 \times \frac{1-r^n}{1-r}}\)

Geometric sequences have applications in many areas of mathematics and science, including finance, physics, and computer science. They are used to model exponential growth and decay, as well as to analyze patterns in data and algorithms.

The given sequence is a geometric sequence with a common ratio of 1/5. The first term is 125.

The explicit formula for a geometric sequence is given by:

\(\mathrm{ \large{a_n }= a_1 \times r^{n-1} }\)

where a₁ is the first term and r is the common ratio.

Substituting the given values, we get:

\(a_n = 125 \times (\frac{1}{5})^{n-1}\)

Hence, the explicit formula for the sequence is  \(a_n = 125 \times (\frac{1}{5})^{n-1}\).

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Answer:

Yes, you have to move because 1 square is one unit.

Answer:

36

Step-by-step explanation:

The transformed function is written as:

g(x) = (-x - 8)² + 9

Here we start with the parent quadratic function:

f(x) = x²

Let's say that the transformed function is g(x), first we know that there is a shift of 8 units to the left, this is written as.

g(x) = f(x + 8).

Then one of 9 units up, then we get:

g(x) = f(x + 8) + 9

Finally, a reflect over the x-axis, this adds a change of sign in the argument, we get:

g(x) = f( -(x + 8)) + 9

Replacing the original function we get:

g(x) = (-x - 8)² + 9

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Answer:

10

Step-by-step explanation:

20+30/5

=10

The student has prepared a homogeneous mixture. Option C is correct.

When a mixture's composition is not consistent throughout, it is said to be heterogeneous. Example oil and water.

Mixtures that are homogeneous have a consistent structure or makeup. For example salt in water.

When magnesium chloride is dissolved in water, it completely disappears. So, the uniform composition of the solution is formed.

Therefore, the student has prepared a homogeneous mixture.

Hence, option C is correct.

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Answer:

hows your day going? :)

Answer:

QUESTION:

53% equals:

Fraction

ANSWER:

53% = 0.53 in decimal form.

0.53 = \(\frac{53}{100}\) in fraction form.

Step-by-step explanation:

I hope that this helps you out! :)    

Have a great rest of your day/night!    

Please thank me on my profile if this answer has helped you out.

Answer:

14C

15b

16c

17b

Step-by-step explanation:

tama yan good luck

Answer:

Step-by-step explanation:

Answer:

20xy−7.5x

Step-by-step explanation:

Answer:

1577

Step-by-step explanation:

105*15+2

The elements expressed as follows comprised of Dn is Dn = {r0, r1, r2, ..., rn-1, s, sr1, sr2, ..., srn-1}.

To create a group that necessitates at least n arrow types in its Cayley diagram, where n is any positive whole number, we can utilize the dihedral group Dn. The construction of this group involves the following steps:

Firstly, we draw a regular n-gon and label its vertices consecutively from 0 to n-1. Next, we establish the subgroup H of Dn, which is generated by the rotation r of order n and the reflection s of order 2. The elements comprising Dn can be expressed as follows:

Dn = {r0, r1, r2, ..., rn-1, s, sr1, sr2, ..., srn-1}

It should be noted that the Cayley diagram of the Dn group, with respect to H, mandates the presence of at least n arrow types.

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Answer:

see explanation

Step-by-step explanation:

(a)

3x² - 12x - 11 ( factor out 3 from the first 2 terms )

= 3(x² - 4x) - 11

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 4x

= 3(x² + 2(- 2)x + 4 - 4) - 11

= 3(x - 2)² - 12 - 11

= 3(x - 2)² - 23 ← in the form 3(x + a)² + b

with a = - 2 and b = - 23

(b)

3x² - 12x - 11 = 0 , may be expressed as

3(x - 2)² - 23 = 0 ( add 23 to both sides )

3(x - 2)² = 23 ( divide both sides by 3 )

(x - 2)² = \(\frac{23}{3}\) ( take square root of both sides )

x - 2 = ± \(\sqrt{\frac{23}{3} }\) ( add 2 to both sides )

x = 2 ± \(\sqrt{\frac{23}{3} }\) ← in the form c ± \(\sqrt{d}\)

with c = 2 and d = \(\frac{23}{3}\)

Chess is not a static game of complete information for several reasons. Firstly, the game is dynamic, meaning that the position of the pieces on the board changes constantly throughout the game.

Unlike in games like Tic Tac Toe or Connect Four, the state of the game at any given point is not fixed, and there are a vast number of possible outcomes. This means that players cannot simply memorize the best moves and outcomes for every situation, as they would in a game of complete information.

Secondly, chess is a game of imperfect information, as both players do not know what moves their opponent will make. Even with a complete understanding of the game's rules, players cannot predict with certainty the moves of their opponent, and must instead make strategic decisions based on their best assessment of their opponent's likely choices.

Finally, chess is a game of hidden information, as players do not know what their opponent is thinking or planning. A player may be able to predict their opponent's next move, but cannot know for sure what their long-term strategy is, making it difficult to make optimal decisions.

Overall, chess is a highly dynamic and complex game that is not static or complete in terms of information. Players must make strategic decisions based on incomplete and uncertain information, making it a challenging and rewarding game for those who play it.

Chess is a strategic board game played between two players, with each player starting with 16 pieces on a 64-square board. The game has been around for centuries and is considered one of the most popular and complex games in the world.

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Answer:

Let's use a system of equations to solve the problem.

Let x be the number of regular admission tickets sold, and y be the number of fast pass tickets sold.

From the problem, we know that:

x + y = 104 (equation 1)

and

8x + 22y = 1280 (equation 2)

We can use equation 1 to solve for x in terms of y:

x = 104 - y

Substituting this expression for x into equation 2, we get:

8(104 - y) + 22y = 1280

Simplifying and solving for y, we get:

832 - 8y + 22y = 1280

14y = 448

y = 32

So the student sold 32 fast pass tickets.

To find the number of regular admission tickets sold, we can substitute y = 32 into equation 1 and solve for x:

x + 32 = 104

x = 72

So the student sold 72 regular admission tickets.

Therefore, the student sold 72 regular admission tickets and 32 fast pass tickets.

Answer:

A: Any positive value

Step-by-step explanation:

Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.

Answer:

A: Any Postive value or B: No Solution

Step-by-step explanation:

Zero has one square root which is 0. Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.

Answer:

The answer is 2640 Employees

Step-by-step explanation:

every 30 employees theres 3 supervisors so you can just multiply 264 by 30

264 * 30 = 7920 employees

then divide by 3 to get how many supervisors there are

7920 / 3 = 2640

By using Euclid's first book, we can prove that the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, the two pairs of adjacent sides are formed by the diagonals bisecting the quadrilateral into four smaller triangles with equal areas.

According to Euclid's first book, when two lines intersect at a right angle (perpendicular), they form four right angles. In the case of a quadrilateral with perpendicular, unequal, bisecting diagonals, the diagonals intersect at a right angle and divide the quadrilateral into four smaller triangles with equal areas.

1. Draw a quadrilateral with perpendicular, unequal, bisecting diagonals.
2. Label the points where the diagonals intersect as A, B, C, and D.
3. Label the point where the diagonals intersect as E.
4. Use Euclid's first book to prove that the angles at E are all right angles.
5. Use Euclid's first book to prove that the four triangles formed by the diagonals are congruent (equal in area).
6. Use the definition of a kite to prove that the quadrilateral is a kite (two pairs of adjacent sides are equal in length).
7. Therefore, the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite.

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Answers:

\(\sqrt[c]{a^b}\)

\((\sqrt[c]{a})^b\)

Answer:

first 1 last 1 third 1 and forth 1

Step-by-step explanation:

Answer:

The volume of the right circular cone is \(1005.9\ \text{inch}^2\).

Step-by-step explanation:

It is given that,

Height of a right circular cone is 18.8 inches and its diameter is 14.3 inches. We need to find the volume of the cone. The volume of cone is

\(V=\dfrac{1}{3}\pi r^2 h\)

So,

\(V=\dfrac{1}{3}\times 3.14\times (\dfrac{14.3}{2})^2\times 18.8\\\\V=1005.9\ \text{inch}^2\)

So, the volume of the right circular cone is \(1005.9\ \text{inch}^2\).

Answer:1006.5

Step-by-step explanation:

Angle-Angle-Side (AAS) Theorem has two sides and a non-included angle.

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