The mean is _____ than the median, which in turn is _____ the mode, in a unimodal skewed right distribution.

a. less, greater than or equal to

b. less, less than

c. greater, less than

d. greater, greater than or equal to

Answer:

D: 2x^2 + 8x + 8

Step-by-step explanation:

You can use a graphing calc, a table of values (or called a x-y chart), or algebraically. I will being using algebra to solve this.

If you tried to factor out your answers first, it would be simple to see that B and D would be easiest to choose between because of factoring. Rule out A and C.

If you're a quick factor-er, you can tell that D would be able to factor into y = 2(x+2)^2. This would match the graph as the root(s) for this factored equation would be x=-2, which is the vertex of the graph shown.

\(\\ \rm\hookrightarrow (3^8.2^{-5})^{-2}(2^{-2}3^{-3})^4.3^{28}\)

\(\\ \rm\hookrightarrow 3^{-16}

.2^{-10}.2^{-8}.3^{-12}>3^{28}\)

\(\\ \rm\hookrightarrow 3^{-16-12+28}2^{-10-8}\)

\(\\ \rm\hookrightarrow 3^02^{-18}\)

\(\\ \rm\hookrightarrow \dfrac{1}{2^{18}}\)

Mrs. Malatlian has failed to meet the condition that np ≥ 10.

Meet is an event or gathering of people who have come together for a common purpose or to discuss specific topics. It typically involves a group of people who come together in person or virtually to exchange ideas and information. Meetings are often used as a platform for brainstorming, collaboration, problem solving, decision-making, and/or making plans. They can also serve as a platform for networking, team building, and connecting with others. Meetings can also be used to disseminate information or provide updates to a group.

Specifically, the sample size (n) is 28 and the proportion of those who plan to participate in the game (p) is 20/28 = 0.71.
Thus, np = 28(0.71) = 19.88 which is less than 10.

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1. The slope of the water table between the two wells can be calculated by determining the difference in water table levels and dividing it by the distance between the wells. 2. The slope of Deer Creek can be determined by calculating the difference in elevation between its source and the valley floor and dividing it by the length of the creek. 3. To determine the ground measurements corresponding to 3.5 inches on the map, we need to use the map's scale. The scale of 1:24000 means that 1 inch on the map represents 24000 inches on the ground.

1. To calculate the slope of the water table between the wells, we subtract the water table level at one well (100 feet) from the level at the other well (300 feet), resulting in a difference of 200 feet. Since the wells are half a mile apart (2640 feet), we divide the difference in water table levels by the distance between the wells, giving us a slope of approximately 0.076 ft/mi.

2. The slope of Deer Creek can be determined by subtracting the elevation of its source (2700 meters) from the elevation at the valley floor (1290 meters), resulting in a difference of 1410 meters. Since the creek flows for 8 kilometers, we divide the elevation difference by the length of the creek, giving us a slope of approximately 176.25 m/km or 0.176 m/m.

3. To determine the ground measurements corresponding to 3.5 inches on the map, we use the scale of 1:24000. Since 1 inch on the map represents 24000 inches on the ground, 3.5 inches on the map would represent 84000 inches on the ground, which is approximately 7000 feet or 1.32 miles.

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Answer: 3ft²?

Step-by-step explanation:

The equation is exact, and its solution is given by\((4/3)x^3 - x^2y + 5x + 2y^2 = (5/3)y^3 - x^2y + 4y + (5/2)x^2 + C\), where C is a constant..

The given equation is exact. To determine if an equation is exact, we check if the partial derivative of the function with respect to y is equal to the partial derivative of the function with respect to x. In this case,\(\frac{{\partial}}{{\partial y}}(4x^2 - 2xy + 5) = -2x \quad \text{and} \quad \frac{{\partial}}{{\partial x}}(5y^2 - x^2 + 4) = -2x\). Since the partial derivatives are equal, the equation is exact.

To find the solution, we integrate the coefficient of dx with respect to x and the coefficient of dy with respect to y. Integrating \(4x^2 - 2xy + 5\) with respect to x gives \((4/3)x^3 - x^2y + 5x + g(y)\), where g(y) is the constant of integration with respect to x. Then, integrating \(5y^2 - x^2 + 4\) with respect to y gives \((5/3)y^3 - x^2y + 4y + h(x)\), where h(x) is the constant of integration with respect to y.

To obtain the solution, we equate the mixed partial derivatives:\(\frac{{\partial}}{{\partial y}}\left(\frac{4}{3}x^3 - x^2y + 5x + g(y)\right) = \frac{{\partial}}{{\partial x}}\left(\frac{5}{3}y^3 - x^2y + 4y + h(x)\right)\). By comparing the terms, we find that g'(y) = 4y and h'(x) = 5x. Integrating both equations gives g(y) =\(2y^2 + C1\)and h(x) = \((5/2)x^2 + C2\), where C1 and C2 are constants of integration. Thus, the general solution to the exact equation is\((4/3)x^3 - x^2y + 5x + 2y^2 = (5/3)y^3 - x^2y + 4y + (5/2)x^2 + C.\)

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An appropriate name for EHC and CHJ is alternate interior angles.

Alternate interior angles are the angles formed when a transversal intersects coplanar strains. They lie on the inner side of the parallel lines but on the opposite facets of the transversal.

Except the exchange indoors vertical angles are 90° then they may no longer upload as much as 180°. If the exchange indoors angles are obtuse, then adding them collectively will bring about quite a number higher than 180°. consequently, if the alternate interior angles are acute, then including them together will bring about various beneath 180°.

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The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the given letters

J = 0.5 × 8 ft × 6 ft = 24 ft²

K = 8ft × 9ft = 72 ft²

L = 6ft  × 9ft = 54 ft²

M = 10ft × 9ft = 90ft²

N = 0.5 × 8 ft × 6 ft = 24 ft²

U = 0.5 × 16 yd × 15 yd = 120 yds²

V = 0.5 × 16 yd × 15 yd = 120 yds²

W = 16 yd × 16 yd = 256 yds²

V = 0.5 × 16 yd × 15 yd = 120 yds²

X = 0.5 × 16 yd × 15 yd = 120 yds²

A = 5 in × 10 in = 50 in²

B = 10 in × 12 in = 120 in²

C = 5 in × 12 in = 60 in²

D = 5 in × 10 in = 50 in²

E = 5 in × 12 in = 60 in²

F = 10 in × 12 in = 120 in²

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Answer:

if you want to simplify it, it would be -5 + 12

but if you want to finish the problem then the answer would be positive 7 or just 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

by definition : The inverse of a relation consisting of points of the form (x,y) is the set of points (y,x)

if (1,7) is a point belong to f(x), then the inverse has to be (7,1) not (8,1)

Ordered pair\((8, 1)\) cannot belong to the inverse of the given function because ordered pair \((7,1).\)belong to the inverse function of the given function.

" Inverse  function is defined as when the domain and range of a function interchange with each other of the given function. It is represented by\(y = g(x)\)then its inverse is \(x = f(y)\)"

According to the question,

Given function,

Function\(f(x)\) with ordered pair \((1,7)\)

Domain of a function\(= 1\)

Range of a function \(= 7\)

As per the definition of inverse function,

Domain of inverse function \(= 7\)

Range of a inverse function \(= 1\)

Ordered pair\((7, 1)\) belongs to inverse of the given function.

Hence, ordered pair\((8, 1)\) cannot belong to the inverse of the given function.

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0.769 minutes of the ride is spent higher than 17 meters above the ground.

What is the unit conversion in mathematics?

Unit conversion is a multi-step process that includes multiplying or dividing by a numerical factor, determining the appropriate number of significant digits, and rounding.

The given figure is a Ferris wheel we have to find the time spent on the ride higher than 17 m.

It means we have to find time spent riding from A to C through B (i.e., Arc ABC)

From the figure, in ΔAOD, we have

         OA = 12.5 m

         OD = 12.5 - 1 = 11.5 m

Now find 'θ'

           θ = \(cos^{-1}(\frac{11.5}{12.5})\)

                = 23.07°

The total angle of arc ABC = 2θ

                                       = 2 * 23.07

                                       = 46.14°

It is given that, 1 full revolution is completed in 6 minutes.

so 46.14° will be completed in = 6/360 * 46.14

                                                  = 0.769 minutes.

Hence, 0.769 minutes of the ride is spent higher than 17 meters above the ground.

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False. A dummy variable is a binary variable used to represent the presence or absence of a specific category or characteristic.

It takes on the value of 1 or 0, indicating the presence or absence of the category. The age of a person in years is a continuous variable that represents a quantitative measurement rather than a categorical variable. It can take on a range of numerical values and does not fit the definition of a dummy variable.

Dummy variables are commonly used to represent categorical variables such as gender (male/female), yes/no responses, or membership in a specific group. Age, on the other hand, is a continuous variable that represents the amount of time a person has lived, making it unsuitable for use as a dummy variable.

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Answer:

(- 4, - 12 ) , (4, 12 )

Step-by-step explanation:

Given the 2 equations

y = 3x → (1)

y = x² + 3x - 16 → (2)

Substitute y = x² + 3x - 16 into (1)

x² + 3x - 16 = 3x ( subtract 3x from both sides )

x² - 16 = 0 ( add 16 to both sides )

x² = 16 ( take the square root of both sides )

x = ± \(\sqrt{16}\) = ± 4

Substitute these values into (1) for corresponding values of y

x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )

x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )

Answer:

120

Step-by-step explanation:

360

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3

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Answer:

sorry I don't know the answer

a. the mean of the sampling distribution of the sample proportion is 0.46

b. the standard deviation of the sampling distribution of the sample proportion is 0.0498

c. he sample size is 100 in this case, we can assume that the sampling distribution of p^ is approximately normal.

d. the probability of having a z-score greater than 2.811 is equal to 1 - 0.9974 = 0.0026, or 0.26%.

e. the standard deviation of the sampling distribution by a factor is 0.0704

a. The mean of the sampling distribution of the sample proportion, denoted as μp^, is equal to the population proportion, which in this case is 46%.

μp^ = p = 0.46

the mean of the sampling distribution of the sample proportion is 0.46

b. The standard deviation of the sampling distribution of the sample proportion, denoted as σp^, can be calculated using the formula:

σp^ = √((p * (1 - p)) / n)

Where p is the population proportion (0.46) and n is the sample size (100).

σp^ = √((0.46 * (1 - 0.46)) / 100) = 0.0498

the standard deviation of the sampling distribution of the sample proportion is 0.0498

c. The sampling distribution of p^ is approximately normal due to the Central Limit Theorem (CLT). According to the CLT, when the sample size is sufficiently large (typically n ≥ 30), the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution. Since the sample size is 100 in this case, we can assume that the sampling distribution of p^ is approximately normal.

d. To find the probability that more than 60 households will own VCRs, we need to calculate the probability of getting a sample proportion greater than 0.6. We can standardize this value using the z-score formula:

z = (x - μp^) / σp^

Substituting the values, we have:

z = (0.6 - 0.46) / 0.0498 = 2.811

the probability of having a z-score greater than 2.811 is equal to 1 - 0.9974 = 0.0026, or 0.26%.

e. If the sample size is decreased from 100 to 50, the standard deviation of the sampling distribution of the sample proportion (σp^) would be multiplied by a factor of √(2), which is approximately 1.414. Therefore, the standard deviation would become:

New σp^ = σp^ * √(2) = 0.0498 * 1.414 = 0.0704

the standard deviation of the sampling distribution by a factor is 0.0704

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The mean of the sampling distribution of the sample proportion is 0.46. The standard deviation of the sampling distribution of the sample proportion is approximately 0.0498. The sampling distribution of p^ is approximately normal when the sample size is large enough. The probability that more than 60 households will own VCRs is approximately 0.0024. If the sample size is decreased from 100 to 50, the standard deviation of the sampling distribution would be multiplied by a factor of approximately 1.4142.

In statistics, a sampling distribution is the probability distribution of a given statistic based on a random sample. The sampling distribution of the sample proportion, denoted as p^, is the distribution of the proportions obtained from all possible samples of the same size taken from a population.

The mean of the sampling distribution of the sample proportion is equal to the population proportion. In this case, the population proportion is 46% or 0.46. Therefore, the mean of the sampling distribution of the sample proportion, denoted as μp^, is also 0.46.

The standard deviation of the sampling distribution of the sample proportion, denoted as σp^, is determined by the population proportion and the sample size. It can be calculated using the formula:

σp^ = √((p * (1 - p)) / n)

where p is the population proportion and n is the sample size. In this case, p = 0.46 and n = 100. Plugging in these values, we get:

σp^ = √((0.46 * (1 - 0.46)) / 100) = √((0.46 * 0.54) / 100) = √(0.2484 / 100) = √0.002484 = 0.0498

The sampling distribution of p^ is approximately normal when the sample size is large enough due to the Central Limit Theorem. This theorem states that the sampling distribution of a sample mean or proportion becomes approximately normal as the sample size increases, regardless of the shape of the population distribution. In this case, the sample size is 100, which is considered large enough for the sampling distribution of p^ to be approximately normal.

To calculate the probability that more than 60 households will own VCRs, we need to use the sampling distribution of p^ and the z-score. The z-score measures the number of standard deviations an observation is from the mean. In this case, we want to find the probability that p^ is greater than 0.6.

First, we need to standardize the value of 0.6 using the formula:

z = (x - μp^) / σp^

where x is the value we want to standardize, μp^ is the mean of the sampling distribution of p^, and σp^ is the standard deviation of the sampling distribution of p^.

Plugging in the values, we get:

z = (0.6 - 0.46) / 0.0498 = 2.8096

Next, we need to find the probability that z is greater than 2.8096 using a standard normal distribution table or a calculator. The probability is approximately 0.0024.

If the sample size is decreased from 100 to 50, the standard deviation of the sampling distribution of the sample proportion would be multiplied by a factor of:

√(n1 / n2)

where n1 is the initial sample size (100) and n2 is the final sample size (50). Plugging in the values, we get:

√(100 / 50) = √2 = 1.4142

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                     "

The three most well known models for communication are Linear, Interactional, and Transactional.

Answer: 7, 28, 63, 112, 175, 252, ...

Step-by-step explanation:

7, 28, 63, 112, ...

7*1, 7*4, 7*9, 7*16, ...

7*1², 7*2², 7*3^2, 7*4², ...

Hence, 7n², n=1, 2, 3, 4, ...

7*5²=

7*5*5=

175

7*6²=

7*6*6=

252

Thus,

7, 28, 63, 112, 175, 252, ...

Answer:

they want shady im chop liver come on dip im on your lips its time to settle all my law suites frick you debby

Step-by-step explanation:

A negative correlation coefficient indicates an inverse or indirect relationship between two variables. As one variable increases, the other tends to decrease or become smaller.

A correlation coefficient measures the strength and direction of the relationship between two variables. It can range from -1 to +1. A negative correlation coefficient indicates an inverse relationship between the variables.

In an inverse relationship, as one variable increases, the other variable tends to decrease or become smaller. Conversely, as one variable decreases, the other variable tends to increase or become larger. This means that the variables move in opposite directions.

For example, if we observe a negative correlation between the amount of studying done for an exam and the number of mistakes made, it means that as studying increases, the number of mistakes decreases, and vice versa.

On the other hand, a positive correlation coefficient indicates a direct relationship, where both variables tend to move in the same direction. In a positive correlation, as one variable increases, the other variable also increases, or as one variable decreases, the other variable decreases.

In conclusion, a negative correlation coefficient signifies an inverse relationship between two variables, where an increase in one variable is associated with a decrease in the other variable, and vice versa.

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Answer:

x = 17, MN = 11

Step-by-step explanation:

Given 2 secants from an external point to a circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.

(5)

7(7 + x) = 8(8 + 13) = 8 × 21 = 168 ( divide both sides by 7 )

7 + x = 24 ( subtract 7 from both sides )

x = 17

(6)

9(9 + 2x - 7) = 10(10 + 8)

9(2x + 2) = 10 × 18 = 180 ( divide both sides by 9 )

2x + 2 = 20 ( subtract 2 from both sides )

2x = 18 ( divide both sides by 2 )

x = 9

Then

MN = 2x - 7 = 2(9) - 7 = 18 - 7 = 11

The probability that in a given shift there will be at most 2 defects is 1 - p3, where p is the probability of one defect occurring.

The probability that in a given shift there will be at most 2 defects can be calculated by using the formula for the binomial probability distribution. The binomial probability distribution is given by:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

Where n is the number of trials, k is the number of successes, and p is the probability of success. In this case, we are looking for the probability that there will be at most 2 defects in a given shift. This means that we need to find the probability that there will be 0, 1, or 2 defects. We can do this by adding the probabilities of each of these events together:

P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2)

To calculate each of these probabilities, we can plug in the values for n, k, and p into the formula for the binomial probability distribution.
Once we have calculated each of these probabilities, we can add them together to find the probability that there will be at most 2 defects in a given shift. This will give us the answer to the question.

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Answer:

Step-by-step explanation:

x^2-2x-24

(x-6)(x+4)

x= 6,-4

Answer:

x=6 or x= - 4

Step-by-step explanation:

Factorise x²-2x-24=0

(x+6)(x-4)=0

x+6=0 x-4=0

x= - 6 or x=4

Answer:

(x + 9)(x - 9)

Step-by-step explanation:

Apply the Difference of Two Squares formula: x² - y² = (x + y)(x - y)

Rewrite 81 at 9²

⇒ x² - 81 = x² - 9² = (x + 9)(x - 9)

Answer:

\(\left(x+9\right)\left(x-9\right)\)

Step-by-step explanation:

\(x^2 - 81\)

factor 81 as 9²

\(x^2-9^2\)

using formula: a² -b² = (a+b)(a-b)

\(\left(x+9\right)\left(x-9\right)\)

Answer:

34

Step-by-step explanation:

2 x 16 + 2

_________

2 x 16 = 32

_________

32 + 2 = 34

Answer:

30 or 64

Step-by-step explanation:

30 Because... 2 corns for every one till they rech 15..

that's mean (2 x 15)

64 Because... 2 corns plus 2 extra if they rech 16....

that's mean (4x16)

Answers: x = 4 and y = 3

============================================================

Explanation:

Triangle UBD is congruent to triangle RAN

Note the order of the lettering as it's important.

BD and AN are the last two letters of UBD and RAN in that order. Therefore, these sides correspond and BD = AN. From that, we know,

BD = AN

2y+5 = 3y+2

5-2 = 3y-2y

3 = 1y

y = 3

-----------

Using similar logic, UD and RN are the first and last letters of UBD and RAN respectively. So,

UD = RN

15 = 2x+7

2x+7 = 15

2x = 15-7

2x = 8

x = 8/2

x = 4

Answer:

angles 2 and 8; then angles 8 and 6

Step-by-step explanation:

Angles 2 and 8 are corresponding angles and are congruent.

Angles 8 and 6 are alternate interior angles and are congruent.

Answer: angles 2 and 8; then angles 8 and 6

1. Three examples of situations where consistency is important:

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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