(a) Find the size of angle PQR. Reason (b) Find the size of angle PRQ. Reason (c) Find the size of angle POQ.. Reason​

The total number of scores (N) for the distribution shown in the table is 14.

The total number of scores (N) for the distribution shown in the table can be calculated by adding the frequencies (f) of each score (X). In this case, the frequencies are 3, 5, 4, and 2.

To find the total number of scores (N), we simply add the frequencies together:

N = 3 + 5 + 4 + 2
N = 14

Distribution function, mathematical expression that describes the probability that a system will take on a specific value or set of values.

Distributions make it possible to differentiate functions whose derivatives do not exist in the classical sense. In particular, any locally integrable function has a distributional derivative.

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The length of the hypotenuse is given as follows:

c = 18.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

The sides for this problem are given as follows:

\(a = 9, b = 9\sqrt{3}\)

Then the hypotenuse is given as follows:

\(c^2 = 9^2 + (9\sqrt{3})^2\)

c² = 324

c = 18.

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Answer:

2/3 would be pure juice.

Step-by-step explanation:

This is because if you have 3/3 of juice and add 2 it would make it 2/3 or 66.66666666666% juice

To find the series solution for the differential equation y'' + 2xy' + 2y = 0, we can assume a power series solution of the form:

Now, substitute y(x), y'(x), and y''(x) into the differential equation:

∑(n=0 to ∞) aₙn(n-1) xⁿ⁻² + 2x ∑(n=0 to ∞) aₙn xⁿ⁻¹ + 2 ∑(n=0 to ∞) aₙxⁿ = 0

We can simplify this equation by combining the terms with the same powers of x. Let's manipulate the equation step by step:

We can combine the three summations into a single summation:

∑(n=0 to ∞) (aₙ₊₂(n+1)n + 2aₙ₊₁ + 2aₙ) xⁿ = 0

Since this equation holds for all values of x, the coefficients of the terms must be zero. Therefore, we have:

This is the recurrence relation that determines the coefficients of the power series solution To find the series solution, we can start with initial conditions. Let's assume that y(0) = y₀ and y'(0) = y'₀. This gives us the following initial terms:

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The solution is: the equation of the circle with radius 8 and center (1, 3) is: x² + y² - 2x - 6y - 54 = 0.

Here, we have,

Given ,

the circle with radius 8 and center (1, 3).

so, we have,

the center of circle (h,k) = (1,3) and radius, r = 8

we know that,

Equation of the circle = (x-h)² + (y-k)² = r²

so, we get,

⇒ (x - 1)² + (y - 3)² = 64

⇒ x² - 2x + 1 + y² - 6y + 9 = 64

⇒ x² + y² - 2x - 6y - 54 = 0 (on simplification)

Hence, The solution is: the equation of the circle with radius 8 and center (1, 3) is: x² + y² - 2x - 6y - 54 = 0.

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To complete the definition of σ = {x = , y = , z = 5, b = } so that σ ⊨ φ, we need to assign appropriate values to the variables x, y, and b based on the given constraints in φ.

Given:

φ ≡ x = y*z ∧ y = 4*z ∧ z = b[0] + b[2] ∧ 2 < b[1] < b[2] < 5

We can start by assigning the value of z as z = 5, as given in the definition of σ.

Now, let's assign values to x, y, and b based on the constraints:

From the first constraint, x = y * z, we can substitute the known values:

x = y * 5

Next, from the second constraint, y = 4 * z, we can substitute the known value of z:

y = 4 * 5

y = 20

Now, let's consider the third constraint, z = b[0] + b[2]. Since the values of b[0] and b[2] are not given, we can assign them arbitrary values using Greek letter names.

Let's assign b[0] as δ and b[2] as ζ.

Therefore, z = δ + ζ.

Now, we need to satisfy the constraint 2 < b[1] < b[2] < 5. Since b[1] is not assigned a specific value, we can assign it as η.

Therefore, the final definition of σ = {x = y * z, y = 20, z = 5, b = [δ, η, ζ]} satisfies the given constraints and makes σ a model of φ (i.e., σ ⊨ φ).

Note: The specific values assigned to δ, η, and ζ are arbitrary as long as they satisfy the constraints given in the problem.

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Gina will have $55.

For more explanation, please check the photo attached.

By Benjemin ☺️

Answer:

2 1/4  miles

Step-by-step explanation:

20+20+20 = 60/ 1hour

3/4+3/4= 1 1/2+ 3/4 =2 1/4

Answer:

2 1/4

Step-by-step explanation:

20min * 3 = 60 min

3/4 * 3 = 2 1/4

Hope this helps, have a great day:)

the t-score for a 99.8% confidence interval with a sample size of 5 is 4.604.

The t-score for a 99.8% confidence interval with a sample size of 5 can be found using a t-distribution table or calculator.

Since we have a sample size of 5, the degrees of freedom (df) will be n - 1 = 4.

From the t-distribution table or calculator, the t-score for a 99.8% confidence interval with 4 degrees of freedom is approximately 4.604.

Therefore, the t-score for a 99.8% confidence interval with a sample size of 5 is 4.604.

the complete question is :

what is the value of the t score for a 99.8% confidence interval if we take a sample of size 5?

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The mean of T is -10 and the standard deviation of T is √425 when X1 and X2 are independent.

To find the mean of T, we can use the properties of expected values. Since T = 11X1 - 2X2, the mean of T can be calculated as follows: E(T) = E(11X1) - E(2X2) = 11E(X1) - 2E(X2) = 11(10) - 2(20) = -10. To find the standard deviation of T, we need to consider the variances and covariance of X1 and X2. Since X1 and X2 are independent, the covariance between them is zero. Therefore, Var(T) = Var(11X1) + Var(-2X2) = 11^2Var(X1) + (-2)^2Var(X2) = 121(2^2) + 4(3^2) = 484 + 36 = 520. Thus, the standard deviation of T is √520, which simplifies to approximately √425. When X1 and X2 have a correlation of -0.76, the mean and standard deviation of T remain the same as in the case of independent variables. To calculate the probability P(T > 30) when X1 and X2 are independent, normally distributed variables, we need to convert T into a standard normal distribution. We can do this by subtracting the mean of T from 30 and dividing by the standard deviation of T. This gives us (30 - (-10))/√425, which simplifies to approximately 6.16.  We can then look up the corresponding probability from the standard normal distribution table or use statistical software to find P(T > 30). The probability will be the area under the standard normal curve to the right of 6.16.

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Answer:

Dont know

Dont know

Dont know

Dont know dont know dont knowwwwwwwwwwwwwww

As the hospital's capacity increases, the solution to healthcare related problems improves significantly.

As the hospital's capacity increases, the solution to various healthcare-related problems changes significantly. In the current healthcare landscape, the demand for hospital beds and related services is ever-increasing. With the growing population, the need for healthcare services has increased significantly. Therefore, it is essential to understand how the solution changes as the hospital's capacity increases.
Firstly, with the increase in the hospital's capacity, the number of available hospital beds increases. This implies that more patients can be admitted, reducing the waiting time and allowing patients to receive timely and necessary care. This increase in capacity also allows for the addition of more specialized services, such as ICU beds, which can cater to critically ill patients.
Secondly, the increase in capacity also allows for the hiring of more healthcare professionals, including doctors, nurses, and administrative staff. This means that there will be more people to attend to the needs of patients, leading to better care and improved outcomes. Furthermore, with more staff, the workload per employee decreases, leading to a better work-life balance and job satisfaction.
Lastly, with an increase in capacity, the hospital can cater to a broader range of medical conditions. This allows for a more comprehensive range of treatments, including advanced surgeries and other medical procedures that may not have been possible with limited capacity.
In conclusion, as the hospital's capacity increases, the solution to healthcare-related problems improves significantly. With an increase in beds, healthcare professionals, and specialized services, patients can receive timely care, better outcomes, and a more comprehensive range of treatments. Therefore, increasing the hospital's capacity is essential to cater to the growing needs of the population and improve the quality of healthcare services.

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Answer:

Un triángulo isósceles tiene perímetro 8 cm. ¿Cuál de las siguientes expresiones permite calcular el área del triángulo en función de su base x?

Step-by-step explanation:

Answer:

4 mins

Step-by-step explanation:

Tank 1: 24

Tank 2: 8

Tanks 3: 12

So you add them all up to equal the "work". which is one. Looks like this:

*** x/24 + x/8 + x/12 = 1 ***

multiply all by 24

x+3x+2x=24

add like terms

6x=24

divided by 6

x=4

So x=4 minutes.

:)

*** You could check by putting 4 into x by the * (stared) problem

Answer:

b = 7, c = -3 and a = 1

Step-by-step explanation:

So I'm assuming you know the quadratic formula, x=-b +- root (b^2-4ac)/2a

so knowing this, it is given that b^2 - 4ac = 61

it is also given 2a = 2 (the bottom of the fraction) which means a =1

and the -b = -7 (the start of the expression), which means b = 7

now we have b = 7, and a = 1

now we can sub it into b^2 - 4 x a x c = 61

b^2 is 7 x 7 = 49

4 x a x c = 4c

so we have 49-4c=61

-4c = 61-49

-4c = 12

c = -3

therefore we have b = 7, c = -3 and a = 1

The statement that is TRUE among the given options is "OD. Gradient of f(x...) at some point (a,b,c) is given by ai+bj+ck."

The gradient of a function f(x, y, z) is a vector that represents the rate of change of the function in each coordinate direction. It is denoted as ∇f and can be written as ∇f = ∂f/∂x i + ∂f/∂y j + ∂f/∂z k, where i, j, and k are the unit vectors in the x, y, and z directions, respectively.

In the statement OD, it is mentioned that the gradient of f(x, y, z) at a specific point (a, b, c) is given by ai + bj + ck. This aligns with the definition of the gradient, where the partial derivatives of the function are multiplied by the corresponding unit vectors.

The other options (OA, OB, OC, and OE) are not true:

- OA: The cross product of the gradient and the unit vector of the directional vector does not give the directional derivative. The directional derivative is obtained by taking the dot product of the gradient and the unit vector in the direction of interest.

- OB: This option states that none of the choices in the list are true, which contradicts the fact that one of the statements must be true.

- OC: The directional derivative as a scalar quantity is not always in the direction vector u with u = 1. The magnitude of the directional derivative gives the rate of change in the direction of the unit vector, but it can have a positive or negative sign depending on the direction of change.

- OE: The directional derivative is not a vector-valued function in the direction of some point of the gradient. The directional derivative is a scalar value that represents the rate of change of a function in a specific direction.

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Answer:

I think no. Because degree is the sum all variables in first equation degree. Is14 but second equation degree not 14.

Answer:

X = -3333/100000

Step-by-step explanation:

Given that a rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get 7/12, to determine what is the number the following calculation must be performed:

X x 5/2 + 2/3 = 7/12

2.5X + 0.666 = 0.583333

2.5X = 0.58333 - 0.6666

X = -0.08333 / 2.5

X = -0.033333

X = -3333/100000.

Based on the mean and standard deviation of men's heights at that time, the tallest living man had a more extreme height compared to the shortest living man.

The question asks which of the two men, the tallest living man or the shortest living man at that time, had a height that was more extreme.

To determine this, we need to compare their heights to the mean and standard deviation of men's heights at that time.

The mean height of men at that time was 177.71 cm, and the standard deviation was 6.03 cm.

The tallest living man had a height of 237 cm, which is 59.29 cm above the mean (237 - 177.71 = 59.29).

The shortest living man had a height of 139.5 cm, which is 38.21 cm below the mean (177.71 - 139.5 = 38.21).

To determine which height is more extreme, we can compare the distance from each height to the mean.

The distance from the tallest man's height to the mean is 59.29 cm, while the distance from the shortest man's height to the mean is 38.21 cm.

Since the distance from the tallest man's height to the mean is greater than the distance from the shortest man's height to the mean,  we can conclude that the tallest living man had the height that was more extreme.

In summary, based on the mean and standard deviation of men's heights at that time, the tallest living man had a more extreme height compared to the shortest living man.

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Answer:

3

Step-by-step explanation:

division go brrrrrrrrrr

Answer:

x = 3

Step-by-step explanation:

The scale factor of A to B is \(\frac{18}{9}\) = 2

then

2x = 6  ( divide both sides by 2 )

x = 3

Answer:

she is wrong

Step-by-step explanation:

1.375 is equal to 1.4

maybe you wrote the wrong thing or she made a mistake.

show it to your parents or another teacher for correction and to help you convince your teacher

Answer:

Step-by-step explanation:

Yes, I'm pretty sure this is correct. 1.5 is definitely not it. You round it so you only have two digits. 5 you can round up so 1.38 and eight too, so: 1.4. It's not 1.5.

In an instruction like "z = x y," the symbols x, y, and z are examples of variables.

Variables are placeholders that represent unknown or changing values in mathematical expressions or equations. They allow us to generalize mathematical relationships and solve problems using algebraic methods.

In mathematics, variables are symbols that represent unknown or varying quantities. They are used to express mathematical relationships, equations, and formulas.

In the given instruction "z = x y," the symbols x, y, and z are variables.

In this case, x and y represent the input values, and z represents the output or result of the mathematical operation defined by the equation.

Variables are used extensively in algebra to solve equations, manipulate expressions, and analyze mathematical relationships. They enable us to express and solve problems symbolically, without knowing the specific values of the variables.

By assigning specific values to variables, we can evaluate expressions, solve equations, and find solutions to mathematical problems.

Variables can represent a wide range of quantities, including numbers, measurements, constants, or even abstract concepts. They provide flexibility and generality in mathematical modeling and problem-solving.

By using variables, we can establish connections between different mathematical quantities and derive meaningful conclusions based on their relationships.

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The daily growth rate of the bacteria, rounded to the nearest tenth of a percent is approximately 7.2% .

The population of a particular type of bacteria triples in 16 days, and we need to find the daily growth rate rounded to the nearest tenth of a percent.

To find the daily growth rate, we can use the formula for exponential growth:

Final Population = Initial Population * \((1 + Growth Rate)^{Number of Days}\)

Since the population triples, the final population is 3 times the initial population. Let's denote the growth rate as 'r' and plug the given information into the formula:

3 * Initial Population = Initial Population * \((1+r)^{16}\)

Divide both sides by the initial population:

3 = \((1+r)^{16}\)

Now, we need to find the 16th root of 3 to get (1 + r):

(1 + r) = \(3^{1/16}\)

Next, subtract 1 from both sides to find the growth rate:

r = \(3^{1/16}\) - 1

Calculate the value of r and multiply by 100 to get the percentage:

r ≈ (1.07177 - 1) * 100 ≈ 7.2%

The daily growth rate of the bacteria is approximately 7.2%, rounded to the nearest tenth of a percent. This means that the bacteria population increases by about 7.2% every day for 16 days, resulting in a tripling of the population.

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Answer:

422.39

Step-by-step explanation:

\(A = \pi r^2\\A = 144\pi \\\\144\pi -30 = 422.39\)

use a calculator for the above and round

Answer: Choose A my smart self just knew

Answer:

Here, is the answer of comparison

The angles formed by the bisector are equal in measure, adjacent, supplementary, form a linear pair, and are congruent.

When a line bisects an angle, it divides the angle into two equal parts. The resulting angles have several properties

They have equal measures: The two angles formed by the bisector have the same degree measurement.

They are adjacent: The two angles share a common side and vertex.

They are supplementary: The sum of the two angles formed by the bisector is 180 degrees.

They form a linear pair: The two angles, together with the adjacent angle on the other side of the bisector, form a straight line or a linear pair.

They are congruent: The two angles formed by the bisector are congruent to each other.

These properties are useful in solving problems involving angle bisectors in geometry.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What are some properties of the angles formed by the bisector?

After constructing a circle, the next step in constructing an inscribed square by hand is to draw the diagonals of the circle.

When constructing an inscribed square, drawing the diagonals of the circle is the next step because the diagonals of a square are also the diameters of the circle. By drawing the diagonals, we can find the points where the diagonals intersect the circle, which will be the vertices of the square. This ensures that the square is inscribed within the circle, with its corners touching the circumference of the circle.

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Answer: (A) Set compass to the diameter of the circle.

Step-by-step explanation: got it right in the test