Find the sum of 4+3x and 5-4x+2x 2

False. When conducting a cluster sample, it is typically preferable to have more heterogeneous clusters with fewer individuals.

This is due to the fact that when clusters are diverse, it is crucial to appropriately represent the population by capturing its diversity.

In such situations, the danger of sampling bias is increased by having fewer clusters with more individuals because a larger number of people from a single heterogeneous cluster would not fairly represent the overall community. Incorrect estimates and conclusions may result from this.

Having fewer clusters with more individuals, on the other hand, can assist raise the precision of the estimates when clusters are homogeneous by lowering the variance associated with sampling from a single cluster. In general, to achieve a precise representation of the population and to lessen the chance of sampling bias, the number of clusters and the size of each cluster should be balanced.

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Answer:

x= 8 km

Step-by-step explanation:

measurement used:

When getting measurement the missing side occupies 1 more than a half of 15km

Answer:

x = 8km

Step-by-step explanation:

Use Pythagorean Theorem:

c2 = a2 + b2

In the diagram given, the hypotenuse (c) is 17 so substitute these values into the equation

17^2 = x^2 + 15^2

Take 15 to the power 2, to the other side.

17^2 - 15^2 = x^2

Solve to get

64 = x2

Square root both sides so

x = 8

Answer:

x = 13

Step-by-step explanation:

\(a^{2} +b^2 = c^2\\12^2 + 5^2 = c^2\\144 + 25 = c^2\\169 = c^2\\\)

Take the square root of both sides

\(\sqrt{169} = \sqrt{c^2} \\13 = c\)

The measure of angle p in this problem is given as follows:

m < p = 58º.

p is combined with an angle of a right triangle of sides 5 and 6, hence we consider that:

The trigonometric ratios for a right triangle are given as follows:

Then the measure of the internal angle ip is calculated as follows:

tan(ip) = 5/8

ip = arctan(5/8)

ip = 32.

Then the measure of angle p is calculated as follows:

32 + m<p = 90

m < p = 58º.

The problem is given by the image shown at the end of the answer.

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To find the lower bound to the 95% confidence interval, we can use the formula:Lower Bound = p-hat - z*(√(p-hat*q-hat)/n)where:

p-hat = sample proportion of green dragons = 15/100 = 0.15q-hat = 1 - p-hat = 1 - 0.15 = 0.85n = sample size = 100z = z-score at 95% confidence level = 1.96 (from standard normal distribution table).

By plugging in the given values in the formula, we get:Lower Bound = 0.15 - 1.96*(√(0.15*0.85)/100)Lower Bound = 0.15 - 0.0775Lower Bound = 0.0725.

In this given problem, a dragonologist is studying wild dragons in North West China and he has hired a statistician to help him figure out the proportion of green dragons, compared to all other dragons. After surveying the land using a SRS tactic, the statistician found that out of 100 dragons, 15 were green dragons.

To calculate the lower bound of 95% confidence interval, we used the formula

Lower Bound = p-hat - z*(√(p-hat*q-hat)/n)

where p-hat represents the sample proportion of green dragons, q-hat represents the proportion of other dragons, n represents the sample size and z represents the z-score at 95% confidence level. Plugging in the given values in the formula, we obtained a lower bound of 0.0725 rounded off to 4 decimal places. Therefore, the lower bound to the 95% confidence interval is 0.0725.

Therefore, the lower bound to the 95% confidence interval is 0.0725.

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The given signal, \(x(t) = 5cos(\omega t+\pi/3)+ 7cos(\omegat-5\pi/4)+3cos(\omega t)\), can be expressed in the form x(t)=Acos(ωt+ϕ), where A represents the amplitude and ϕ represents the phase.

To express the given signal x(t) in the form x(t)=Acos(ωt+ϕ), we need to combine the cosine terms and simplify the expression. Let's start by rewriting the given signal:

\(x(t) = 5cos(\omega t+\pi/3)+ 7cos(\omegat-5\pi/4)+3cos(\omega t)\)

Using the trigonometric identity cos(a+b)=cos(a)cos(b)−sin(a)sin(b), we can simplify the expression:

\(x(t) = 5cos(\omega t+\pi/3) - 5sin(\omega t)sin(\pi/3) + 7cos(\omegat-5\pi/4)-7sin(\omega t)sin(-5\pi/4)+3cos(\omega t)\)

Simplifying further:

\(x(t) = (5cos(\pi/3)+7cos(\omegat-5\pi/4)+3)cos(\omega t) - (5sin(\pi/3) +7sin(-5\pi/4))sin(\omega t))\)

We can rewrite the constants as

\(A=5cos(\pi/3)+7cos(-5\pi/4)+3\) and \(\theta= -arctan(\frac{5sin(\pi/3)+7sin(-5\pi/4)}{5cos(\pi/3)+7cos(-5\pi/4)+3})\)

Therefore, the given signal x(t) can be expressed in the form x(t)=Acos(ωt+ϕ), where A is the amplitude and ϕ is the phase.

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The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.

To find the tangential and normal components of the acceleration vector, we need the velocity vector and the curvature of the path. The tangential component of acceleration (at) represents the change in speed or direction along the path. It is given by the derivative of the velocity vector with respect to time. The normal component of acceleration (an) represents the change in direction perpendicular to the path. It is given by the curvature of the path multiplied by the square of the speed.

In mathematical terms:

at = dV/dt

an = (V^2) / R

where:

V is the velocity vector

t is time

R is the radius of curvature of the path.

The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.

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The zeros of the function y = 2x³ - 3x² - 18x - 8 are x = -2, x = -1, and x = 2.

To find all the zeros of the function y = 2x³ - 3x² - 18x - 8:

The zeros of a function correspond to the values of x where the function equals zero, meaning y = 0.

Start by setting the function equal to zero: 2x³ - 3x² - 18x - 8 = 0.

Look for possible rational zeros using the rational root theorem. The factors of the constant term (-8) are ±1, ±2, ±4, ±8, and the factors of the leading coefficient (2) are ±1, ±2.

Test the possible rational zeros by substituting them into the equation. By trying different values, we find that x = -2 is a zero of the function.

Use synthetic division to divide the function by (x + 2) to obtain a quadratic equation: (x + 2)(2x² - 7x - 4) = 0.

Solve the quadratic equation (2x² - 7x - 4 = 0) using factoring or the quadratic formula to find the remaining zeros.

Factoring: (x - 4)(2x + 1) = 0.

Quadratic formula: x = (7 ± √(49 + 32)) / 4 = (7 ± 9) / 4, which gives x = -1 and x = 4/2 = 2.

Therefore, the zeros of the function y = 2x³ - 3x² - 18x - 8 are x = -2, x = -1, and x = 2.

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ا اس نے اور لیپ کا یا ہد کو درکار اور ان پر ولا بت پرستوں کو خاتون زندگی اس نے کیا باطل و غرق و شرمندگی ہی نے گیراوں کو مہنگائی کے قائل کر رب نے غرور نسل کا فون باطل کر دیا جس نے وہ جس کا ذکر ہوتا ہے زمانوں آسمانوں میں فرشتوں کی دعاؤں میں ، مون کی اڑانوں میں وہ جس کے معجزے نے ام تی کو سنوارا ہے جو بے یاروں کا پارا ، بے سہاروں کا سہارا ہے ثنا خواں جس کا قرآں ہے، ثنا ہے اس کی قرآن میں ی پر میرا ایماں ہے، وی نے میرے اباں ہیں

ا

hope it helps

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Answer:

4 11/20

Step-by-step explanation:

Add whole numbers:

2+1=3

Combine fractions:

3/4 + 4/5 = 15/20 + 16/20 = 31/20

3 + 31/20 = 3 +1 11/20 =

4 11/20

Answer:

Either plane XYS or plane Q

Step-by-step explanation:

They are the only points lying on the plane in general.

Answer:

4.4

Step-by-step explanation:

The sum of the probabilities of all possible outcomes is 1.

As the die is loaded so that the number 4 occurs 3/10 of the time, and the other numbers occur with equal frequency, then the probability of numbers 1, 2, 3, 5, 6, 7 and 8 being rolled is 1/10.

Create a probability distribution table for X, where X is the score on the loaded 8-sided die:

\(\begin{array}{ | c | c | c | c | c | c | c | c | c |}\cline{1-9}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\cline{1-9} & & & & & & & &\\ \text{P}(X=x) & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{3}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10}\\& & & & & & & &\\\cline{1-9}\end{array}\)

Add a product row and a totals column:

\(\begin{array}{ | c | c | c | c | c | c | c | c | c | c |}\cline{1-10}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 &\text{Total} \\ \cline{1-10} &&&&&&&&& \\ \text{P}(X=x) & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{3}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & 1\\ &&&&&&&&&\\ \cline{1-10} &&&&&&&&&\\\text{Product} & \frac{1}{10} & \frac{2}{10} & \frac{3}{10} & \frac{12}{10} & \frac{5}{10} & \frac{6}{10} & \frac{7}{10} & \frac{8}{10} & \frac{44}{10} \\ &&&&&&&&&\\\cline{1-10}\end{array}\)

(The Product is row is the product of the score on the die and its probability).

The expected value (EV) is the sum of the product of each outcome and its probability.  

Therefore, the expected value (EV) of this die is 44/10 = 4.4

It will take the golf ball 12 seconds to hit the ground using the kinematic equation for vertical motion.

To determine the time it takes for the golf ball to hit the ground, we can use the kinematic equation for vertical motion:

\(h = ut + (1/2)gt^2\)

Where:

h is the height (0 feet, as the ball is on the ground)

u is the initial velocity (192 feet per second)

g is the acceleration due to gravity (-32 feet per second squared, considering downward direction)

t is the time we want to find

Plugging in the given values, we get:

\(0 = (192)t + (1/2)(-32)t^2\)

Simplifying the equation, we have:

\(-16t^2 + 192t = 0\)

Factoring out t, we get:

t(-16t + 192) = 0

Setting each factor equal to zero, we have:

t = 0 (not applicable in this case)

-16t + 192 = 0

Solving for t, we get:

-16t = -192

t = 12

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The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.

The time it takes for the golf ball to hit the ground can be determined using the equation of motion. We can use the formula:

h0 = 0

v0 = 192

g = 32.2

a = 16.1

b = 192

t1 = 0

t2 = -b / a

t(-16t + 192) = 0

Setting each factor equal to zero, we have:

t = 0 (not applicable in this case)

-16t + 192 = 0

Solving for t, we get:

-16t = -192

t = 12

t2 >= 0:

   time_to_hit_ground = t2

   time_to_hit_ground = t1

The time it takes for the golf ball to hit the ground is approximately", round(time_to_hit_ground, 2 seconds.

The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.

Since time cannot be negative in this context, we discard the negative solution. Therefore, the time it takes for the golf ball to hit the ground is approximately 11.92 seconds.

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To test the empirical mean and variance of an exponential random variable generated with rate parameter λ, generate a sequence of n random variables and calculate the empirical mean and variance using appropriate formulas. Compare with theoretical values.

To test the empirical expectation and variance of the exponential random variable from a sample of n random variables X1, X2, ..., Xn generated with parameter λ, we can use the following formulas:

Empirical mean: Ȳ = (X1 + X2 + ... + Xn)/n

Empirical variance: s^2 = ((X1 - Ȳ)^2 + (X2 - Ȳ)^2 + ... + (Xn - Ȳ)^2)/(n - 1)

We can then compare the empirical mean and variance with the theoretical mean and variance of an exponential random variable with parameter λ, which are:

Theoretical mean: E(X) = 1/λ

Theoretical variance: Var(X) = 1/λ^2

To perform this test, we can generate n exponential random variables with parameter λ using a random number generator, and then calculate the empirical mean and variance using the formulas above. We repeat this process for 10,000 simulations and compare the results with the theoretical mean and variance.

If the results of the calculations are in line with what we expect, the empirical mean and variance should be close to the theoretical mean and variance, respectively. This is because the law of large numbers states that as the sample size increases, the sample mean and variance approach the population mean and variance.

If the results are not in line with what we expect, it could be due to a number of factors such as a faulty random number generator, an insufficient number of simulations, or a mistake in the calculation of the empirical mean and variance.

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The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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Answer:

6x+19

Step-by-step explanation:

Since it is parallel it is has the same slope. So, make it 6x+b. After doing this, plug in the coordinates and you would get b=19. Hope it helps u :)

Answer:

A

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 3, 6 ) and r = 2 , then

(x - (- 3) )² + (y - 6)² = 2² , that is

(x + 3)² + (y - 6)² = 4

Scale shows weight = 193

Weight of assistant = 135

Weight of dog = x

x = 193 - 135

x = 58

The dog weighs 58 pounds.

Answer:

Solving the expression: \((6.2 - 3.51) \times (11.7 \times 0.3)\) we get 9.4419

Step-by-step explanation:

We need to solve the expression: \((6.2 - 3.51) \times (11.7 \times 0.3)\)

According to DMAS rules first we solve brackets and then we will multiply the results found after solving brackets

So,

\((6.2 - 3.51) \times (11.7 \times 0.3)\\=2.69 \times 3.51\\=9.4419\)

First we solved the terms (6.2-3.51) and get 2.69 and by solving (11.7 x 0.3) we get 3.51

Now, we will multiply 2.69 with 3.51 to get the final result.

The final result is 9.4419

So, solving the expression: \((6.2 - 3.51) \times (11.7 \times 0.3)\) we get 9.4419

An example of a human right that I think is essential for everyone to have throughout the world is the right to life.

This right is essential because we all should live and no one should deny others the right.

All people have the same basic legal rights, regardless of their gender, color, nationality, ethnicity, language, religion, or any other distinction. Human rights cover a wide range of rights, such as the freedom from slavery and torture, the right to life and liberty, the freedom of speech, the right to a job and an education, among many more. Human rights, which are usually protected by both domestic and international law, are moral principles or rules for particular standards of human behavior.

Human rights cover a wide range of rights, such as the freedom from slavery and torture, the right to life and liberty, the freedom of speech, the right to a job and an education, among many more. These rights apply to everyone without exception. The idea that a creature has the right to survive and, in particular, shouldn't be killed by another entity, is known as the right to life.

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Answer:

first answer is 3×12=36

5×15=75

Answer:

Download the App "Photo Math"

Step-by-step explanation:

it will help you to solve all of your math problems.

The regression equation for the given relationship is y = x + 5.

Given, two points (0,5) and (5,10) fall on the regression line for a perfect positive linear relationship.

The formula for a linear regression model is represented as;Y = a + bxwhere,a is the y-intercept.b is the slope of the line.x is the independent variable.

Here, the slope can be found as;`b = (y₂ - y₁) / (x₂ - x₁)``b = (10 - 5) / (5 - 0) = 1`Now, the intercept can be found by substituting the slope in the formula of the regression model;`y = a + bx``5 = a + 1(0)``a = 5

`Therefore, the regression equation for the given relationship is y = x + 5.

Summary:The regression equation for the perfect positive linear relationship between the given two points (0,5) and (5,10) is y = x + 5.

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Answer:

4.  4x + 4

5. 7d + 28

6.   y^2 + 3y

7. x + 1

8. d + 4

9. y + 3

Step-by-step explanation:

4. 4*x + 4*1 = 4x + 4

5. 7*d + 7*4 = 7d + 28

6.  y*y + y*3 = y^2 + 3y

7. x + 1

8. d + 4

9. y + 3

Answer:

x = 14

Step-by-step explanation:

5(22 - x) = 40

Distribute the 5 into the parenthesis.

110 - 5x = 40

Subtract 110 from both sides.

-5x = -70

Divide both sides by -5.

x = 14.

Proof:

5(22 - x) = 40

Substitute variable.

5(22 - 14) = 40

Subtract inside parenthesis.

5(8) = 40

Multiply 5 and 8.

40 = 40.

Answer:

its d 5/8

Step-by-step explanation:

use slope equation

m= y2-y1 / x2-x1

-8-(-3) /-6-2

-5/-8

5/8

To find the joint probability distribution function f(u, v) of two random variables U and V, follow these steps:
1. Identify the support: Determine the range of values that the random variables U and V can take. The support is the set of all possible (u, v) pairs for which f(u, v) > 0.
2. Define the joint probability function: Using the support, create an equation that describes the probability of each (u, v) pair occurring. The equation should satisfy the conditions of a valid probability distribution function. That is, f(u, v) ≥ 0 for all (u, v) pairs in the support, and the sum (for discrete variables) or integral (for continuous variables) of f(u, v) over the entire support should be equal to 1.
3. Calculate probabilities: Use the defined joint probability distribution function f(u, v) to compute the probabilities of events involving U and V.

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Cindy spent a total of $128.09 on ingredients for pies. She will be able to make 18 slices of pie with this amount of ingredients.

1. Cindy spent $65.25 on ingredients for blueberry pies and $62.84 on ingredients for cherry pies.

2. Add the two amounts together: $65.25 + $62.84 = $128.09

3. Each slice of pie sells for $3.50.

4. Divide the total spent on ingredients by the cost of a slice of pie: $128.09 / $3.50 = 18 slices of pie.

the complete question is :

Cindy spent $65. 25 on ingredients for blueberry pies and $62. 84 on

ingredients for cherry pies. Each slice of pie sells for $3. 50.How much did Cindy spend on ingredients for blueberry and cherry pies, and how many pies can she make from that?

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Answer:

1 gallon of white paint

Step-by-step explanation:

correct me if im wrong

Answer:

Total purchase price = 600 * 34.50 Total purchase price = $20,700 c. To find the total selling price for the 600 shares, we can multiply the number of shares by the final price per share. Total selling price = 600 * 38.64 Total selling price = $23,184 d.