Find the missing dimension of the cone.

the volume is 1/18π and the radius is 1/3. find the height.

By using the concept of stratified sampling, it can be concluded that

In this situation, stratified sampling is used.

What is stratified Sampling?

Suppose, there is a population. If it is required to partition the given population into subpopulation, the sampling technique used in this case is called stratified sampling.

A tv station wishes to obtain information on the tv viewing habits in its market area. The market area contains one city of population 170,000 another city of 70,000, and four towns of about 5,000 residents each.

Here,  it is said that the station suspects that the viewing habits may be different in larger and smaller cities and in the rural areas.

So it is advantageous to partition the given population into subpopulation.

So stratified sampling must be used here.

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The number of voters that should be sampled for a confidence interval depends on the desired level of confidence and the margin of error.

A larger sample size generally leads to a smaller margin of error and a higher level of confidence in the accuracy of the results. However, the relationship between sample size and margin of error is not linear, meaning that doubling the sample size will not necessarily halve the margin of error.
To calculate the required sample size, a formula can be used that takes into account the margin of error, level of confidence, and population size.
the number of voters that should be sampled for a confidence interval depends on several factors and cannot be determined without more information.
To determine the required sample size, you can use the following formula:
n = (Z^2 * p * (1-p)) / E^2

Where:
- n is the sample size
- Z is the Z-score (usually 1.96 for a 95% confidence interval)
- p is the estimated proportion of the population (usually 0.5 for the worst-case scenario)
- E is the margin of error (in decimal form)

Hence, without the specific margin of error, we cannot provide the exact sample size needed.

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Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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Answer:

-a-3b

Step-by-step explanation:

a+2b-2a-b+2(-2b)

-a+b-4b

-a-3b

-(a+3b)

Answer:

I think its 6 and a half, not sure tho

The statement "In the study of logic, p q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim pvq is, as a whole claim, true" is true.

This principle is known as the exclusive disjunction, which means that the truth value of p v q is only true if either p or q is true, but not both.

In other words, if both p and q are true, then the statement p v q is still considered true because only one of them needs to be true for the whole statement to be true. This concept is essential in the study of logic as it helps to clarify the relationship between different statements and propositions.

Furthermore, this principle is often used in mathematics, computer science, and other fields that rely heavily on logical reasoning. It enables us to make accurate predictions and draw valid conclusions from a set of given premises or statements.

In conclusion, the exclusive disjunction is a crucial concept in the study of logic that helps us understand the truth value of compound claims. Therefore, the statement "In the study of logic, p q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim pvq is, as a whole claim, true" is true.

In the study of logic, the statement "p ∨ q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim p ∨ q is, as a whole claim, true" is actually false. This is because the given description refers to the "inclusive" sense of the disjunction (OR) operator, rather than the exclusive sense.

In logic, there are two types of disjunctions: inclusive and exclusive. The inclusive disjunction, represented by p ∨ q, is true when at least one of p or q is true. This means that if both p and q are true, the compound claim p ∨ q is also true, which matches the given description in the question.

On the other hand, the exclusive disjunction, represented by p ⊕ q or p XOR q, is true only when either p or q is true, but not when both are true. If p and q are both true, then the compound claim p ⊕ q is false.

So, the statement in the question actually describes the inclusive disjunction, not the exclusive disjunction, and is therefore false.

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The distance from the airplane to the end of the runway will be 45.89 miles.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

An airplane is 45 miles from the end of the runway, AB, and 9 miles high, AC, when it approaches the airport. Then the triangle ABC is a right-angle triangle. Then we have

AC² = AB² + BC²

AC² = 45² +  9²

AC² = 2025 + 81

AC² = 2106

AC = 45.89 miles

The distance from the airplane to the end of the runway will be 45.89 miles.

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Answer:

$5.7 million

Step-by-step explanation:

To calculate the company's profit, we can use the Annual Compound Interest formula:

\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ A=P\left(1+r\right)^{t}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

The principal amount, P, is the amount of profit the company made in the year 2004:

The interest rate, r, is the percentage that the company's profit increased by each year:

The time is the number of years after 2004.

Substitute these values into the annual compound interest formula and solve for A:

\(A=4.4(1+0.14)^2\)

\(A=4.4(1.14)^2\)

\(A=4.4(1.2996)\)

\(A=5.71824\)

\(A=5.7\; \sf (nearest\;tenth)\)

Therefore, the company's profit in the year 2006, to the nearest tenth of a million dollars, is $5.7 million.

Therefore, the calculations are as follows:

u • u = 34

v • u = 23

v • u / u • u = 23/34

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

To compute the dot products of vectors u and v, we can use the formula:

u • v = u₁v₁ + u₂v₂

Given the vectors u = [-3 5] and v = [4 7], we can calculate the dot products as follows:

u • u:

u₁u₁ + u₂u₂ = (-3)(-3) + (5)(5) = 9 + 25 = 34

v • u:

v₁u₁ + v₂u₂ = (4)(-3) + (7)(5) = -12 + 35 = 23

v • u / u • u:

(4)(-3) + (7)(5) / (9 + 25) = -12 + 35 / 34 = 23/34

Therefore, the calculations are as follows:

u • u = 34

v • u = 23

v • u / u • u = 23/34

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Answer:

\(x=1\)

B

Step-by-step explanation:

So we have the equation:

\(3x-x+2=4(2x-1)\)

Combine like terms on the left:

\(3x-x+2=4(2x-1)\\2x+2=4(2x-1)\)

Distribute out the right:

\(2x+2=4(2x-1)\\2x+2=8x-4\)

Subtract 2x from both sides. The left side cancels:

\((2x+2)-2x=(8x-4)-2x\\2=6x-4\)

Add 4 to both sides. The right side cancels:

\(2+4=(6x-4)+4\\6=6x\)

Divide each side by 6:

\((6)/6=(6x)/6\\x=1\)

Therefore, the solution is: x=1.

Answer:

144πfeets² ; 339.6 cm² ; 2461.8 cm² ; 1962.5 square centimeters

Step-by-step explanation:

Area of a circle, A = πr²

1.)

with a Radius of 12 feets

A = π * 12² = 144πfeets²

2.)

Approximate area :

3.14 * 10.4² = 339.6224 feet²

3.)

with a Radius of 28 cm

A = 3.14 * 28² = 2461.76cm²= 2461.8 cm²

4.

Diameter = 50 cm ; Radius = 50/2 = 25

with a Radius of 25 centimeter

A = 3.14 * 25² = 1962.5 cm²

The reliability function is a useful tool for modeling the probability of failure of a system over time. And the probability of failure within 400 hours is approximately 14%.

The reliability function is a common tool used to model the probability of failure of a system over time. In this case, we will use an exponential distribution to model the failure rate of a light bulb.

Assuming an exponential distribution, a particular light bulb has a failure rate of 0.002. The failure rate is the average number of failures per unit of time. The exponential distribution has the property that the probability of failure is proportional to the length of time the system has been in operation.

The reliability function for an exponential distribution is given by R(t) = e^(-λt), where λ is the failure rate. The reliability function gives the probability that the system will still be functioning after t units of time.

So, the probability of failure within 400 hours is given by 1 - R(400), where R(400) is the reliability function evaluated at 400 hours.

1 - R(400) = 1 - e^(-0.002 * 400) = approximately 0.14

So, the probability of failure within 400 hours is approximately 14%.

By assuming an exponential distribution, the reliability function is given by R(t) = e^(-λt), where λ is the failure rate. In this case, the reliability function can be used to calculate the probability of failure within a given time period, such as 400 hours for the light bulb.

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In standard form, the equation is \((x-2)^2+(y+9)^2=9,\) where we have plugged \((h,k,r)=(2,-9,3)\) into the standard-form equation \((x-h)^2+(y-k)^2=r^2.\) The center of this general form has coordinates \((h,k),\) and the radius is \(r.\)

The point estimate for the parameter B based on the sample is approximately 0.284. We can calculate it in the following manner.

Given that X1, X2, X3, ... X14 is a random sample of size 14 taken from a Gamma distribution with unknown parameters a and B.

The method of moments is used to find the point estimate for the parameter, B, based on the following sample. The moment estimator for a parameter is a sample statistic that is used to estimate an unknown parameter. When the sample moments are equated to their corresponding population moments, these are called method of moments estimators. The population mean of a gamma distribution with parameters a and B is μ = a/B

The population variance of a gamma distribution with parameters a and B is σ² = a/B²

The first moment is the mean of the distribution, which is the same as the expected value of the gamma distribution. The second moment is the variance of the distribution. The method of moments estimation method is as follows: First Moment Estimation:μ = X = {X1+ X2+ X3+ ... X14}/14

Second Moment Estimation:σ² = S² = {Σ(Xi - X)²}/14 where X is the sample mean and S² is the sample variance.

By equating these to the corresponding population moments of gamma distribution, we get the estimators for a and B respectively. They are as follows: a = (X)² / S²B = (S²) / X

Now, we have the values of X and S² from the given sample. They are as follows: X= {0.50+0.88+0.40+0.80+1.14+0.71+0.49+1.45+0.65+0.62+1.04+1.89+0.29+0.79+0.2522}/14 = 0.84208S² = {Σ(Xi - X)²}/14 = 0.3058We need to find the point estimate for the parameter, B, based on the given sample.

B = (S²) / X = 0.3058/0.84208 ≈ 0.3632

Therefore, the estimate of parameter B is approximately 0.3632, using the method of moments. The correct option is the third option.
To estimate the parameter B using the method of moments, we first need to calculate the sample mean and the sample variance. However, you provided 17 data points instead of 14. We will use the first 14 data points for our calculation.

Data: 0.50, 0.88, 0.40, 0.80, 1.14, 0.71, 0.49, 1.45, 0.65, 0.62, 1.04, 1.89, 0.29, 0.79

1. Calculate the sample mean (µ):
µ = (ΣXi) / n = (0.50+0.88+0.40+0.80+1.14+0.71+0.49+1.45+0.65+0.62+1.04+1.89+0.29+0.79) / 14 ≈ 0.859

2. Calculate the sample variance (s²):
s² = (Σ(Xi - µ)²) / (n-1) ≈ 0.243 (after calculating)

Now, we can use the method of moments. For Gamma distribution, the mean and variance are:

Mean: µ = aB
Variance: s² = aB²

We have already estimated a point estimate for a (a-hat) using the method of moments:
a-hat = µ² / s² ≈ 0.859²/ 0.243 ≈ 3.023

Now we can estimate the point estimate for B (B-hat):
B-hat = µ / a-hat ≈ 0.859 / 3.023 ≈ 0.284

The point estimate for the parameter B based on the sample is approximately 0.284.

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The point estimate for the parameter B is 9.14.

To use the method of moments to find a point estimate for the parameter B, we first need to set up the equations using the sample moments.

The sample mean is:

mu1 = (X1 + X2 + ... + X14) / 14

And the sample variance is:

mu2 = [(X1 - mu1)²+ (X2 - mu1)² + ... + (X14 - mu1)²] / 14

For a Gamma distribution with parameters a and B, the theoretical mean and variance are:

E(X) = a / B
Var(X) = a / B²

Setting the sample moments equal to the theoretical moments, we get:

mu1 = a / B
mu2 = a / B²

Solving for B in the first equation, we get:

B = a / mu1

Substituting this into the second equation, we get:

mu2 = a / (a / mu1)²

mu2 = a * mu1² / a²
mu2 = mu1²/ a

Solving for a in terms of the sample moments, we get:

a = mu1^2 / mu2

Substituting this into the equation for B, we get:

B = (mu1 / mu2)²

Now we can plug in the values from the sample:

mu1 = (0.50 + 0.88 + 0.40 + 0.80 + 1.14 + 0.71 + 0.49 + 1.45 + 0.65 + 0.62 + 1.04 + 1.89 + 0.29 + 0.79 + 0.2522 + 0.0011 + 0.2099) / 14 = 0.865

mu2 = [(0.50 - 0.865)² + (0.88 - 0.865)²+ ... + (0.2099 - 0.865)²] / 14 = 0.286

Plugging these values into the equation for B, we get:

B = (0.8691 / 0.2375)² = 9.14.

Therefore, the point estimate for the parameter B based on the sample is 9.14.

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The equation of the ellipse is x^2/9 + y^2/6.75 = 1

To find the equation of an ellipse, we need to know the center, the major and minor axis, and the foci.

Since we are given the eccentricity and foci, we can use the following formula:

c = (1/2)a

Since the foci are (0, +/-3), the center is at (0, 0). We know that c = 3/2, so we can find a:

c = (1/2)a

3/2 = (1/2)a

a = 3

The distance from the center to the end of the minor axis is b, which can be found using the formula:

b = √(a^2 - c^2)

b = √(3^2 - (3/2)^2)

b = √6.75

So the equation of the ellipse is:

x^2/a^2 + y^2/b^2 = 1

Plugging in the values we found, we get:

x^2/3^2 + y^2/6.75 = 1

Simplifying:

x^2/9 + y^2/6.75 = 1

Therefore, the equation of the ellipse is x^2/9 + y^2/6.75 = 1

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Answer:

1/3

Step-by-step explanation:

8/15-3/15=5/15=1/3

The approximate area of the window that is not cleaned by the wiper is:

240 - 100.5 ≈ 139.5 square inches. Answer: \boxed{139.5}.

What is circle?

A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center.

To solve this problem, we need to find the area of the trapezoid and subtract the area of the semicircle.

The area of a trapezoid is given by the formula:

A = (a + b)h/2

where a and b are the lengths of the parallel sides, and h is the height (the perpendicular distance between the parallel sides).

In this case, we have:

a = 24 inches (the top parallel side)

b = 16 inches (the bottom parallel side)

h = 12 inches (the height)

Using the formula, we get:

A = (24 + 16) x 12/2

A = 240 square inches

The area of a semicircle is given by the formula:

A = πr²/2

where r is the radius of the circle.

In this case, the radius is half of the length of the wiper, so we have:

r = 16/2 = 8 inches

Using the formula, we get:

A = π(8²)/2

A ≈ 100.5 square inches

Therefore, the approximate area of the window that is not cleaned by the wiper is:

240 - 100.5 ≈ 139.5 square inches. Answer: \boxed{139.5}.

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Answer: 33

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

Answer:

C) 70%

Step-by-step explanation:

There are 10 slices so 1/2=5/10 So Jamal ate half the pizza which would be 5 slices.

Betty ate 1/5=2/10 So Betty ate 2 slices of Pizza.

Brainliest plz

Answer:

1/2=5/10

1/5=2/10

2/10+5/10=7/10

7/10=70%

Step-by-step explanation:

In this question, you are being asked to perform a Factor Analysis with Varimax rotation to identify the underlying structure between variables Q1 through Q26. The goal is to determine how many factors should be retained and the total variance explained by the model.

Factor analysis is a statistical method that helps to identify underlying factors or dimensions that explain the patterns of correlations among a set of observed variables. Varimax rotation is a popular method of rotating the factors to simplify and clarify the structure of the factor solution.

To determine how many factors to retain, we use the eigenvalue criterion of greater than one. The eigenvalue is a measure of how much variance in the original data is accounted for by each factor. A factor with an eigenvalue of greater than one indicates that it explains more variance than a single variable and should be retained.

After performing the Factor Analysis with Varimax rotation and using the eigenvalue criterion, let's say we were able to retain 4 factors. The total variance explained by this model would be the sum of the variances accounted for by each factor.

It's important to note that the interpretation of the factors will depend on the specific variables and context of the study. Factors are often labeled based on the variables that load most heavily onto them. The scores can be saved using the regression method, which calculates the factor scores for each observation based on the observed values of the variables.

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Answer:

\(3240^{0}\)

Step-by-step explanation

n = Number of sides

Sum of interior angles of a regular polygon = (n - 2) x \(180^{o}\)

                                                                        = (20 - 2) x  \(180^{o}\)

                                                                        = 18 x \(180^{o}\)

                                                                        = \(3240^{o}\)

Answer:

30.3° is the answer mi amigo

Step-by-step explanation:

si señor

Answer:

12 inches

Step-by-step explanation:

The answer to the function h(x) is 63.

What is a function?

A relation between a set of inputs and outputs is understood as a function. A function is, to place it merely, a relationship between inputs within which every input is connected to exactly one output. every perform encompasses a vary, co-domain, and range.

Main body:

According to question, the function given is

h(x) = (x-1)(x+1)

h(x) = x²-1

{Formula used = (a+b)(a-b) = (a²-b²)}

replacing x= 8

h(8) = 8² -1

h(8) = 64-1

h(8) = 63

Hence the value of function h(x) = 63.

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Answer:

Una relación lineal es de la forma:

y = a*x + b.

donde a es la pendiente y b es la ordenada al origen.

en este caso, y es el precio de la camioneta, x es el numero de años que pasaron, a es la razon de depreciación de la camioneta y b es el precio inicial de la camioneta, b = $42,000.

Sabemos que después de 5 años, el precio de la camioneta es 21,000, entonces podemos resolver:

$21,000 = a*5 + $42,000

a*5 = $21,000 - $42,000 = -$21,000

a = -$21,000/5 = -$4,200

Esto significa que el precio decae $4,200 por año

El valor de depreciación de la camioneta es de $4200 por año.

Dado que Juana compró una camioneta 4x4 a $42 000; y además, sabe que la camioneta se depreciará (bajará su precio) en forma lineal durante 6 años, para determinar, si al quinto año la camioneta tendrá un valor de $21 000, cuál es el valor de la depreciación de la camioneta, se debe realizar el siguiente cálculo:

Por lo tanto, el valor de depreciación de la camioneta es de $4200 por año.

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The given data sample contains all integers from 530 to 380 and all integers from 379 to 531. This means that the sample includes 152 integers in total. To find the mean of the sample, we need to add up all the numbers and divide by the total number of integers.

To do this, we can take the average of the two endpoints (530 and 380), which is 455. Then we can add the sum of the integers between 380 and 530, which is (530-381+1) + (530-379) = 150 + 151 = 301. Finally, we divide the total sum by the number of integers, which is 152, and get:

Mean = (455 + 301) / 152 = 3.980263158

Therefore, the mean of the given data sample is approximately 3.9803.

In summary, we can find the mean of a sample by adding up all the numbers and dividing by the total number of items. In this particular sample, we first found the average of the two endpoints and then added the sum of all the integers between them to find the total sum. Finally, we divided the total sum by the number of integers to find the mean of the sample.

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Answer:

(x + y)² = 35

Step-by-step explanation:

The expansion of

(x + y)² = x² + 2xy + y²

           = x² + y² + 2xy ← substitute given values

          = 25 + 2(5)

           = 25 + 10

           = 35

Answer:

35

Step-by-step explanation:

\(xy = 5 \\ \\ {x}^{2} + {y}^{2} = 25 \\ \\ \because \: {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy\\ \\ \therefore {(x + y)}^{2} = 25 + 2 \times 5 \\ \\ \therefore {(x + y)}^{2} = 25 + 10 \\ \\ \huge \red{ \boxed{\therefore {(x + y)}^{2} = 35}}\)