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Answer:

[2], [5], [8],

Step-by-step explanation:

A/an database schema diagram can be used to show how the tables in a database are defined and related.

This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and  their attributes, and the relationships between them.

The database schema diagram helps in the  understanding the logical design of the database, including primary keys, for  foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in  designing, modifying, and querying the database effectively.

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True. A pie chart is a segmented circle that represents different categories and their relative sizes based on a numerical variable.

A pie chart is a circular statistical graphic divided into sectors, or "slices," which correspond to different categories or groups. The size of each sector is proportional to the value it represents within the given numerical variable. The chart is named after its resemblance to a sliced pie, with each slice representing a portion or percentage of the whole. Pie charts are commonly used to display data with discrete categories, such as survey results, market shares, or budget allocations. The length of each sector's arc is determined by the magnitude of the data it represents, allowing for easy visual comparison between categories. The whole pie represents 100% or the total of the variable being measured. By examining the relative sizes of the sectors, one can quickly understand the distribution and proportions of the categories being represented. Therefore, it is accurate to say that a pie chart is a segmented circle that portrays the categories and their relative sizes based on a numerical variable.

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Step-by-step explanation:

If the interest is not compounded, it means that Mabel will earn a simple interest of 11% per year on her principal amount of $30,000.

The formula for calculating simple interest is:

Interest = (Principal x Rate x Time)

Where:

Principal = $30,000

Rate = 11% = 0.11 (as a decimal)

Time = 2 years

So, substituting the values in the formula, we get:

Interest = (30,000 x 0.11 x 2) = $6,600

Therefore, Mabel will earn $6,600 in interest over a period of 2 years.

The probability that the sample proportion of grocery shoppers who do not exceed 0.18 in throwing away their purchases is approximately 0.0001.

The true proportion of people who throw away items is assumed to be 8%, and a random sample of 178 grocery shoppers will be surveyed.

To calculate the probability, we will use the sampling distribution of the sample proportion. The sampling distribution of the sample proportion follows a normal distribution when certain conditions are met, such as having a large enough sample size. In this case, the sample size is 178, which is considered large enough.

The mean of the sampling distribution of the sample proportion is equal to the true proportion, which is 8%. The standard deviation of the sampling distribution, also known as the standard error, can be calculated as the square root of (p * (1 - p) / n), where p is the true proportion and n is the sample size. Plugging in the values, we have \(\sqrt{(0.08 * (1 - 0.08) / 178)}\) ≈ 0.0253.

Next, we need to standardize the sample proportion of 0.18 using the formula z = (sample proportion - true proportion) / standard error. Plugging in the values, we have z = (0.18 - 0.08) / 0.0253 ≈ 3.952.

Finally, we can use the standard normal distribution table or a calculator to find the probability that a z-score is greater than 3.952. Since we want the probability that the sample proportion does not exceed 0.18, we can subtract this probability from 1. The probability is approximately 0.0001.

Therefore, the probability that the sample proportion does not exceed 0.18 is approximately 0.0001.

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Part A. When we have two chords that intercept at one of the exterme points of a circle, like this:

Then the relationship between the minor arc and the interior angle of the chords is:

therefore, if we substitute according to the given circle we have:

Therefore, angle a is 85°.

Part B. The angle formed by a tangent and a chord of a circle is half the the arc that is formed:

We have that:

Now, we substitute:

Therefore, "b" is 105°.

Part C. Given the following configuration:

The following relationship holds:

Now, we substitute the values according to the given circle:

Now, we divide both sides by "c":

Therefore, the value of "c" is 13.5

Part D. In the following configuration:

The following relationship holds:

Now, we substitute the values:

Solving the operations:

therefore, the angle "d" is 80 degrees.

Answer:

121

Step-by-step explanation:

5 Raise to the power of 3

125-4=

121

Answer:

Step-by-step explanation:

121 simplify the equation

The expected value and variance of

E(Y) = 0

Var(Y) = 1

We can start by finding the expected value of Y:

E(Y) = E[(X - µx) / δx]

Using the linearity of expectation, we can rewrite this as:

E(Y) = (1 / δx) × E(X - µx)

Now, E(X - µx) is simply the expected deviation of X from its mean, which is 0. Therefore:

E(Y) = (1 / δx) × 0 = 0

So the expected value of Y is 0.

Next, let's find the variance of Y:

Var(Y) = Var[(X - µx) / δx]

Using the property Var(aX) = a2Var(X) for any constant a, we can rewrite this as:

Var(Y) = (1 / δx2) × Var(X - µx)

Expanding this expression, we get:

Var(Y) = (1 / δx2) × [Var(X) - 2Cov(X, µx) + Var(µx)]

Since Var(µx) = 0 (because µx is a constant), this simplifies to:

Var(Y) = (1 / δx2) ×[Var(X) - 2Cov(X, µx)]

Now, we know that Var(X) = δ2x (the square of the standard deviation), and Cov(X, µx) = 0 (because µx is a constant). Therefore:

Var(Y) = (1 / δx2) × [δ2x - 2(0)] = 1

So the variance of Y is 1.

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To find the expected value of Y, we use the linearity of expectation. The expected value of Y is 0 and the variance of Y is 1.

E(Y) = E(X - µx / δx)
    = E(X) - E(µx / δx)    (since E(aX) = aE(X))
    = µx - µx / δx         (since E(c) = c for any constant c)
    = µx(1 - 1/δx)

To find the variance of Y, we use the properties of variance:

Var(Y) = Var(X - µx / δx)
         = Var(X) + Var(µx / δx) - 2Cov(X, µx / δx)    (since Var(aX + bY) = a^2Var(X) + b^2Var(Y) + 2abCov(X, Y))
         = Var(X) + 0 - 2(µx/δx)Var(X) / δx    (since Cov(X, c) = 0 for any constant c)
         = δ^2x - 2µx(δ^2x) / δ^3x
         = δ^2x(1 - 2/δx)

Given a random variable X with expected value µx and variance δ^2x, the expected value and variance of Y = (X - µx) / δx are as follows:

Expected value of Y:
E(Y) = E((X - µx) / δx) = (E(X) - µx) / δx = (µx - µx) / δx = 0

Variance of Y:
Var(Y) = Var((X - µx) / δx) = (1/δ^2x) * Var(X) = (1/δ^2x) * δ^2x = 1

Therefore, the expected value of Y is 0 and the variance of Y is 1.

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Answer: If it is pythagorean theorem than it is 10

Step-by-step explanation:

8^2+6^2=100

Squareroot of 100 is 10

Therefore option b is the right option: After translated it in 6units: we get

A'(-2, 1), B'(-6, 1), C'(-10, 5)

The picture's coordinates are:

A’(-2+6, 1) = (-4, 1)

B’(6+6, 1) = (12, 1)

C’(2+6, 5) = (8, 5)

Define coordinates of a triangle?

A location on the plane that is defined by an ordered pair of numbers is called a coordinate in a triangle (x,y). The y-coordinate and x-coordinate of a point indicate its vertical and horizontal positions, respectively.

Triangles can be described using a variety of coordinate systems in the Euclidean plane. Triangular coordinates is a name for one of these systems. It is a particular instance of barycentric coordinates for a triangle, and in that case it is sometimes referred to as a ternary plot or as areal coordinates

A barycentric coordinate system in geometry is a coordinate system where a point's location is determined by reference to a simplex (a triangle for points in a plane, a tetrahedron for points in three-dimensional space, etc.) . A point's barycentric coordinates can be thought of as the center of mass (or barycenter) of masses that are positioned at the vertices of a simplex. These masses can all be positive or negative, but only if the point is contained within the simplex.

Many branches of mathematics and physics, such as computer graphics, finite element analysis, and fluid dynamics, make use of barycentric coordinates.

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The function in the random library that generate a random integer from 0 to the parameter value inclusive is random.randint() function

Functions are another key idea in programming because they let you put a piece of code that performs a specific purpose inside a specified block and then call that code whenever you need it with a single, brief command rather than repeatedly typing the same code.

Code units that are "self contained" and carry out a particular purpose are called functions. Typically, functions "take in," "process," and "return" data and results. Once a function has been developed, it may be utilized countless times.

From the above definition, we get that

The  function in the random library will generate a random integer from 0 to the parameter value inclusive is  random.randint() function

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an equation that represents the given scenario is total charges = 0.13x + 29.99.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given, A phone company charges 13 cents per minute and a flat fee of $29.99 each month.

Let "x" be the number of minutes

Since Fix cost to pay = 29.99$

Charge Per minute = 13 cents

Charge for x minutes = 0.13x

Thus,

total charges = 0.13x + 29.99

A. equation:

total charges = 0.13x + 29.99

B.  if you use the phone for 250 minutes a month

So, total charges = 0.13 * 250 + 299

Total charges if you use the phone for 250 minutes = 331.5$

C. y-intercept(where x is zero)

Y-intercept represents that you didn't use the phone the entire month

D. the slope represents

As we can see in the given Equation:

The slope represents the Charge for phone use per minute

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The average change in the volume of water per day is obtained as 0.625  litres.

The rate change of volume is the change of volume with respect to time.

For instantaneous change the derivative of the expression of volume can be taken.

The average change in the volume of water can be obtained as follows,

Average change = Volume of water ÷ Number of days

                            = 2.5 ÷ 4 = 0.625

Hence, the average change in water volume is given as  0.625 liters per day.

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Therefore, the indefinite integral of f(x) = x - \(tan^{(-1)}(x)\) / x as a power series is:

F(x) = \((1/2)x^2 - (x - x^3/9 + x^5/25 - x^7/49 + ...)\)+ C, where C is the constant of integration.

To evaluate the indefinite integral of f(x) = x -\(tan^{(-1)}(\)x) / x, we can expand tan^(-1)(x) as a power series and then integrate each term.

The power series expansion of tan^(-1)(x) is:

\(tan^{(-1)}(x) = x - x^{3/3} + x^{5/5} - x^{7/7} + ...\)

So, we have:

f(x) = x - (\(x - x^{3/3} + x^{5/5} - x^{7/7} + ...)\) / x

    = x - (x/x - \(x^{3/3}x + x^{5/5}x - x^{7/7}\)x + ...)

    = x - (1 - \(x^{2/3} + x^{4/5} - x^{6/7 }\)+ ...)

Now, we can integrate each term of the power series:

∫ (x - (1 - \(x^{2/3} + x^{4/5} - x^{6/7}\) + ...)) dx

= ∫ x dx - ∫ (1 - \(x^{2/3} + x^{4/5} - x^{6/7}\) + ...) dx

= (1/2)x^2 - (x - \(x^{3/9} + x^{5/25} - x^{7/49}\) + ...) + C

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Number 7 is not a factor of the number 49t + 30.

A factor is a number which divides another number by itself and leaves no remainder.

In other sayings, if multiplying 2 whole numbers yields a product, the numbers being multiplied are factors of a product because of product is divisible by them.

For the given problem,

The equation is given as 49t + 30

For any value of t the number (49t will get completely divide by 7  leaving no remainder behind).

But 30 is not the factor of 7 as it will leave the remainder 2.

Thus, adding number 30 with 49t will result in a number which is not completely divisible by 7.

Thus, 7 is not a factor of number 49t + 30.

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Answer:

1/50 or 20/1000(same thing but simplified)

Step-by-step explanation:

Answer:

Step-by-step explanation:

nai dunga

Answer:

A

\(2y {}^{4} \div x {}^{4} \)

Step-by-step explanation:

Divide 14 by 7 it will be 2.

Now divide the variables.

X variable will give you X{}^{-4} and y{}^{4}.

So bring X variable in the denominator to make it positive.

So your answer will be option A.

Answer:

A

Step-by-step explanation:

It was right for me

The correct answer is "spines." Spines are the pointed edges of a droplet that radiate out from the spatter.

They can be useful in determining the direction of force applied to the droplet. When a droplet impacts a surface, it spreads out and creates elongated extensions or projections along its periphery, known as spines. By examining the shape and orientation of these spines, forensic analysts can infer the direction from which the force that caused the spatter originated.

The spines provide us with  valuable information about the trajectory and angle of impact, aiding in the investigation and analysis of the event.

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The value of T, representing the temperature in Kelvin, is approximately 255 K. To solve for T in the equation S(1−α)πR^2 = σT^4/(4πR^2), we can rearrange the equation and isolate T.

Given that σ = 5.67×10^-8 Watts/m^2/K^4, π = 3.14, R is the radius of the Earth (6378 km or 6378000 m), and α (albedo) is 0.3, we can substitute these values into the equation and solve for T.

First, we simplify the equation:

S(1−α)πR^2 = σT^4/(4πR^2)

We can cancel out the πR^2 terms on both sides:

S(1−α) = σT^4/4

Next, we rearrange the equation to solve for T:

T^4 = 4S(1−α)/σ

Taking the fourth root of both sides:

T = (4S(1−α)/σ)^(1/4)

Substituting the given values:

T = (4S(1−0.3)/(5.67×10^-8))^(1/4)

Calculating the expression:

T ≈ 255 K

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Answer:

yes

Step-by-step explanation:

I don't really know how to explain it but you see, linear means that all your variables are only to the first power, and when variables are only to the first power, their graphs will always make a straight line.

I hope the graph helps.

The probability she makes at least 65 is 0.0139.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

\(\begin{aligned}P(x \geq 65) & =1-P(x < 65) \\& =1-P\left(\frac{x-\mu}{n} < \frac{65-56}{4.0988}\right) \\& =1-P(z < 2.1958) \\& =1-0.9861 \\& =0.0139\end{aligned}\)

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Answer:

14x=0

Step-by-step explanation:

Answer

14x+3=3

add 10x to both sides

The method for addressing inequality 2v + 12 ≥ 16 is v ≥ 2. This indicates that any value of v larger than or equal to 2 will fulfil the inequality.

The idea of inequality—the state of not being equal, particularly in status, rights, and opportunities1—is one that is central to social justice theories. However, because it frequently has diverse meanings to different people, it can become confusing in public discourse.

The equation-like appearance of the phrase 5x 4 > 2x + 3 is altered by the arrowhead in place of the equals sign. It serves as an illustration of inequity. This shows that the section on the left, 5x 4, is bigger than the part on the right.

Subtract 12 from both sides of the inequality:

2v + 12 - 12 ≥ 16 - 12

Simplifying, we get:

2v ≥ 4

Divide both sides of the inequality by 2:

2v/2 ≥ 4/2

Simplifying, we get:

v ≥ 2.

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The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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The number of calcium ions in 2.5 g of calcium phosphate (Ca3(PO4)2), we use stoichiometry and Avogadro's number. The calculation yields approximately 2.4 x 10^21 Ca2+ ions.

1. Calculate the molar mass of calcium phosphate (Ca3(PO4)2):

  - Ca: 3 atoms x atomic mass of Ca = 3 x 40.08 g/mol = 120.24 g/mol

  - P: 2 atoms x atomic mass of P = 2 x 30.97 g/mol = 61.94 g/mol

  - O: 8 atoms x atomic mass of O = 8 x 16.00 g/mol = 128.00 g/mol

  Total molar mass of Ca3(PO4)2 = 120.24 g/mol + 61.94 g/mol + 128.00 g/mol = 310.18 g/mol.

2. Use the molar mass to convert grams to moles:

  Moles of Ca3(PO4)2 = (2.5 g) / (310.18 g/mol) ≈ 0.00806 mol.

3. Determine the stoichiometry of the compound to find the number of moles of calcium ions (Ca2+):

  In Ca3(PO4)2, the ratio of Ca2+ ions to Ca3(PO4)2 is 3:1.

  Moles of Ca2+ ions = (0.00806 mol) x (3/1) = 0.0242 mol.

4. Apply Avogadro's number to calculate the number of calcium ions:

  Number of Ca2+ ions = (0.0242 mol) x (6.022 x 10^23 ions/mol) ≈ 1.46 x 10^22 ions.

However, since Ca3(PO4)2 contains three calcium ions per formula unit, the total number of calcium ions is:

  Total number of Ca2+ ions = (1.46 x 10^22 ions) x 3 = 4.38 x 10^22 ions.

Rounded to the appropriate significant figures, the number of calcium ions in 2.5 g of calcium phosphate is approximately 2.4 x 10^21 Ca2+ ions.

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A rule for the reflection over the y-axis followed by a translation left 2 units and up 4 units is (x, y) → (-x - 2, y + 4).

Consider an original figure.

Let (x, y) be any point on that figure.

When this figure is reflected over the y axis, the point on the original figure will be (-x, y).

So the first rule after reflection is,

(x, y) → (-x, y)

The second transformation is the translation of the reflected figure to the left by 2 units and to the upwards direction by 4 units.

So the rule will be then,

(-x, y) → (-x - 2, y + 4)

So the complete rule from the first figure can be represented as,

(x, y) → (-x - 2, y + 4)

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Answer:

B) 24÷ −8

C) −15÷5

D) −33÷11

E) 36÷ −12

Step-by-step explanation:

Hope it helps you in your learning process

B) 24÷ −8 = - 3

C) −15÷5 = - 3

D) −33÷11 = - 3

E) 36÷ −12 = - 3

Answer:

Letters B, C, D, and E

Step-by-step explanation:

A) 27/9=3

B) 24/-8=-3

C) -15/5=-3

D) -33/11=-3

E) 36/-12=-3

Hope this helps.

Answer:

x = -33

Step-by-step explanation:

2/3(x+6)=-18

Multiply each side by 3/2

3/2*2/3(x+6)=-18*3/2

x+6 = -27

Subtract 6 from each side

x+6-6 = -27-6

x = -33

The graph of f(x) = -x² + 2x + 1 and g(x) = 2ˣ, have the same y-intercept of (0, 1)

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the polynomial function f(x) = -x² + 2x + 1 and an exponential function g(x) = 2ˣ

From the graph of f(x) = -x² + 2x + 1 and g(x) = 2ˣ, have the same y-intercept of (0, 1)

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