a random sample of 100 people was taken. eighty of the people in the sample favored candidate a. we are interested in determining whether or not the proportion of the population in favor of candidate a is significantly more than 75%. the test statistic is .

Answer:

Step-by-step explanation:

An outlier does not affect measures of central tendency. ... An outlier is always the highest or lowest value in a data set.

it says SELECT ALL THAT APPLY.

so there will be more then one Answer

so D AND C

HOPES THIS HELPS

The mean is considered as one of the measures of central tendencies in statistics. Then the correct option is B.

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics.

Then the correct option is B.

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Answer:

For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m2 / s2.

Step-by-step explanation:

The rate of change of the area at the instant the radius is 23 ft is -138π square feet per minute.

To find the rate of change of the area of a circle, we can use the formula for the area of a circle:

A = πr²

where A is the area and r is the radius.

To determine the rate of change of the area with respect to time, we can take the derivative of both sides of the equation:

dA/dt = 2πr(dr/dt)

Here, dA/dt represents the rate of change of the area, and dr/dt represents the rate at which the radius is changing.

Given that the radius is decreasing at a rate of 3 ft/min, we have dr/dt = -3 ft/min (negative because it's decreasing).

At the instant when the radius is 23 ft (r = 23 ft), we can substitute these values into the equation:

dA/dt = 2πr(dr/dt)

dA/dt = 2π(23)(-3)

dA/dt = -138π

Therefore, the rate of change of the area at the instant the radius is 23 ft is -138π square feet per minute.

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The area of the given shape is 47 yard².

Given a shape.

The shape consists of a rectangle and a triangle.

The area of the shape can be found by adding the individual area of the rectangle and the triangle.

Area of rectangle = length × width

                              = 4 × 5

                              = 20 yard²

Area of the triangle = 1/2 × base × height

Base length = 2 + 2 + 5 = 9 yd

Height = 6 yd

Area of triangle = 1/2 × 9 × 6

                          = 27 yard²

Total area of the shape = 20 yard² + 27 yard² = 47 yard²

Hence the area is 47 yard².

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Answer:

a

Step-by-step explanation:

if u multiply by -5 the 5s will cancel out

Answer:

c

Step-by-step explanation:

sorry if it wrong

Answer:

−

7

9

÷

(

−

2

5

8

)

Convert

2

5

8

to an improper fraction.

Tap for more steps...

−

7

9

÷

(

−

21

8

)

To divide by a fraction, multiply by its reciprocal.

−

7

9

(

−

8

21

)

Cancel the common factor of

7

.

Tap for more steps...

−

1

9

⋅

−

8

3

Multiply

−

1

9

by

−

8

3

.

−

−

8

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8

27

The result can be shown in multiple forms.

Exact Form:

8

27

Decimal Form:

0.

¯¯¯¯¯¯

296−

7

9

÷

(

−

2

5

8

)

Convert

2

5

8

to an improper fraction.

Tap for more steps...

−

7

9

÷

(

−

21

8

)

To divide by a fraction, multiply by its reciprocal.

−

7

9

(

−

8

21

)

Cancel the common factor of

7

.

Tap for more steps...

−

1

9

⋅

−

8

3

Multiply

−

1

9

by

−

8

3

.

−

−

8

9

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Multiply.

Tap for more steps...

8

27

The result can be shown in multiple forms.

Exact Form:

8

27

Decimal Form:

0.

¯¯¯¯¯¯

296−

7

9

÷

(

−

2

5

8

)

Convert

2

5

8

to an improper fraction.

Tap for more steps...

−

7

9

÷

(

−

21

8

)

To divide by a fraction, multiply by its reciprocal.

−

7

9

(

−

8

21

)

Cancel the common factor of

7

.

Tap for more steps...

−

1

9

⋅

−

8

3

Multiply

−

1

9

by

−

8

3

.

−

−

8

9

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Multiply.

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8

27

The result can be shown in multiple forms.

Exact Form:

8

27

Decimal Form:

0.

¯¯¯¯¯¯

296

Step-by-step explanation:

Step-by-step explanation:

Area of the TWO ends are each 1/2 b*h = 1/2 * 16 * 6 =48 in^2

    TWO of them would be   2 * 48 = 96 in^2

Then there are 3 sides

   two are  10 * 12  = 120

       two would be    120 x 2 = 240 in^2

     and ONE side 16 * 12 = 192 in^2

Total area is then   96 + 240 + 192 = 528 in^2

Answer:

C.

Step-by-step explanation:

(B. looks like it may also be one).

The probability of obtaining a sample mean between 4.1 and 4.11 in a random sample of size 511 is 0.

To calculate the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in a discrete uniform population with x = 2.4, we can use the properties of the sample mean and the given population.

In a discrete uniform population, all values are equally likely. Since the mean of the population is x = 2.4, it implies that each value in the population is 2.4.

The sample mean is calculated by summing all selected values and dividing by the sample size. In this case, the sample size is 511.

To find the probability, we need to calculate the cumulative distribution function (CDF) for the sample mean falling between 4.1 and 4.11.

Let's denote X as the value of each individual in the population. Since X is uniformly distributed, P(X = 2.4) = 1.

The sample mean, denoted as M, is given by M = (X1 + X2 + ... + X511) / 511.

To find the probability P(4.1 < M < 4.11), we need to calculate P(M < 4.11) - P(M < 4.1).

P(M < 4.11) = P((X1 + X2 + ... + X511) / 511 < 4.11)
           = P(X1 + X2 + ... + X511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(X1 + X2 + ... + X511 < 4.1 * 511)

Since each value of X is 2.4, we can rewrite the probabilities as:

P(M < 4.11) = P((2.4 + 2.4 + ... + 2.4) < 4.11 * 511)
           = P(2.4 * 511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(2.4 * 511 < 4.1 * 511)

Now, we can calculate the probabilities:

P(M < 4.11) = P(1224.4 < 2099.71) = 1 (since 1224.4 < 2099.71)
P(M < 4.1) = P(1224.4 < 2104.1) = 1 (since 1224.4 < 2104.1)

Finally, we can calculate the probability of the sample mean falling between 4.1 and 4.11:

P(4.1 < M < 4.11) = P(M < 4.11) - P(M < 4.1)
                 = 1 - 1
                 = 0

Therefore, the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in the given discrete uniform population is 0.

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Answer:

y = 100 - 0.08^ x

Step-by-step explanation:

Answer:

about .24 mile per hour

1 mile is 5280 foot

Step-by-step explanation:

The simplification of the given radical is \(\sqrt{7} .5p\)  \(-5\sqrt{7}\)  \(\sqrt{7} .5p\)  \(930\sqrt{7}\)

A radical is a number which expresses the root of a number it is mostly square and cube root of a number.  The radical can also associated with equations, expressions and inequalities.

Given, the radical,

(p.181-182, p.186) \(\sqrt{7}5\)

To simplify this radical, first we have to do the scalar multiplication,

multiply each term in the brackets by \(\sqrt{7} .5\)

we get,

(\(\sqrt{7} }.5p\) \(\sqrt{7} .5(181-182)\) \(\sqrt{7} .5p\) \(\sqrt{7} .5(186)\))

Then simplify the each term we get,

(\(\sqrt{7} .5p\) \(-5\sqrt{7}\)\(\sqrt{7} .5p\)  \(930\sqrt{7}\))

Further it cannot be simplified.

Hence, the simplification of the given radical is \(\sqrt{7} .5p\)  \(-5\sqrt{7}\)  \(\sqrt{7} .5p\) \(930\sqrt{7}\)

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Answer:

2. and 4.

Step-by-step explanation:

Answer:

A lot of 128 pages are printed after 3 minutes.

Step-by-step explanation:

To convert an area from inches to centimeters, conversion factor should be 15.24 square centimeters.

To convert an area from inches to centimeters, we use the conversion factor of 2.54 cm per inch.

This means that for every inch, there are 2.54 centimeters. In order to find the area in centimeters, we first need to find the area in inches, and then multiply it by 2.54.

To find the area, we use the formula
=> area = length x width.

Let's say the length of a rectangle is 2 inches and the width is 3 inches. The area of this rectangle would be 6 square inches

=> (2 x 3 = 6).

To convert this area to square centimeters, we multiply the area in inches by 2.54.

So,

=> 6 square inches x 2.54 = 15.24 square centimeters.

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The symbol that represents the dependent variable in a regression equation is:

a. y

The dependent variable is the variable that is being predicted or explained by the independent variable(s) in the regression analysis. It is typically represented by the symbol "y" in the regression equation. The independent variable(s) are usually represented by the symbol "x" or other appropriate letters.

In a regression equation, the dependent variable is the variable that we are trying to predict or explain based on the independent variable(s). It is the variable whose value is influenced or determined by the independent variable(s). For example, if we are studying the relationship between income (dependent variable) and education level (independent variable), we want to understand how education level affects or predicts income. In this case, income would be represented by the symbol "y" in the regression equation, as it is the variable we are interested in explaining or predicting. The independent variable(s), such as education level, would be represented by the symbol "x".

Therefore, the correct answer is option a. y.

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When a transversal cuts two parallel lines, 8 angles are created.

When two lines do not cross one another, they are said to be parallel. In addition, parallel lines are two lines that cross each other at infinity.

A transversal line is one that crosses two other lines at two different locations. Line l meets a and b in the image below at two different locations, P and Q. Line l is the transversal line as a result.

Corresponding angles are those that are created when two parallel lines and a transversal intersect, also known as matching corners or corresponding corners.

∠1 and ∠6

∠4 and ∠8

∠2 and ∠5

∠3 and ∠7

When a transversal connects two coplanar lines, alternate interior angles are created.

∠4 and ∠5

∠3 and ∠6

However, each pair of alternate interior angles is equal if a transversal meets two parallel lines.

∠4 = ∠5

∠3 = ∠6

The pair of angles that are created on the outer side of two lines but on the other side of the transversal are known as alternate exterior angles.

Consecutive interior angles, related angles, and co-interior angles are other names for interior angles that are on the same side of the transversal.

∠3 and ∠5

∠4 and ∠6

When a transversal cuts two parallel lines, 8 angles are created.

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∠1 and ∠6

∠4 and ∠8

∠2 and ∠5

∠3 and ∠7

When a transversal connects two coplanar lines, alternate interior angles are created.

∠4 and ∠5

∠3 and ∠6

However, each pair of alternate interior angles is equal if a transversal meets two parallel lines.

∠4 = ∠5

∠3 = ∠6

Consecutive interior angles, related angles, and co-interior angles are other names for interior angles that are on the same side of the transversal.

∠3 and ∠5

∠4 and ∠6

The integrating factor for the given differential equation is |x^2 - 1|.

To find the integrating factor for the given differential equation, we start by rearranging the equation in the form:

dy/dx + (2y)/(x^2 - 1) = (4(x + 1))/(x^2 - 1)

The integrating factor (IF) is given by the exponential of the integral of the coefficient of y, which in this case is (2/(x^2 - 1)). Therefore, the integrating factor IF is:

IF = exp ∫ (2/(x^2 - 1)) dx

To evaluate this integral, we can use a substitution. Let u = x^2 - 1, then du = 2x dx. Substituting this back into the integral, we get:

IF = exp ∫ (1/u) du = exp(ln|u|) = |u|

Since u = x^2 - 1, we have:

IF = |x^2 - 1|

Therefore, the integrating factor for the given differential equation is |x^2 - 1|.

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Case 2

The quadratic equation x² - 14 · x + 48 = 0 have the following roots: x₁ = 6 and x₂ = 8. (Correct choice: B)

Case 3

We need to add + 64 to both sides. (Correct choice: B)

Case 4

We need to add + 16 to both sides. (Correct choice: C)

In this problem we find three cases of quadratic equation that are not perfect square trinomials, these equations can be rewritten partially in that form by algebra properties. Completing the square offers a quick method to determine the roots of quadratic equations with integer coefficients. Now we proceed to determine the solutions corresponding to each case:

Case 2

x² - 14 · x + 48 = 0

x² - 14 · x + 49 = 1

(x - 7)² = 1

x - 7 = ± 1

x = 7 ± 1

The roots of the quadratic equation x² - 14 · x + 48 = 0 are x₁ = 6 and x₂ = 8, respectively.

Case 3

x² - 16 · x = - 21

x² - 16 · x + 64 = 64 - 21

(x + 8)² = 43

The first step consists in adding both sides by + 64.

Case 4

x² - 8 · x = 0

x² - 8 · x + 16 = 16

(x - 4)² = 16

The first step consists in adding both sides by + 16.

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Answer:

A

Step-by-step explanation:

-7-(3)/4-(-1)=-10/5 which is -2

Use the slope formula y2-y1/x2-x1 to solve

High intercorrelations between two or more independent variables in a multiple regression model are referred to as multicollinearity.

A single dependent variable and several independent variables can be analyzed using the statistical technique known as multiple regression. With the use of independent variables whose values are known, multiple regression analysis aims to predict the value of a single dependent variable.

Multicollinearity, also known as collinearity, is a phenomena in statistics when one predictor variable in a multiple regression model can be linearly predicted from the others with a high level of accuracy. In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably.

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Answer:

3

Step-by-step explanation:

by the help of Prashant chettri

Answer:

he should do nothing because he is just a passenger.

Answer:

4.5

Step-by-step explanation:

I just use a calculator for this.

2 sqrt 5 = 4.4721

If we round off to the nearest tenth, it would be 4.5.

Answer:

Solution given:

2√5 =4.5 is your answer.

We assume that with a linear relationship between two variables, for any fixed value of x, the observed residuals follows a normal distribution.

This assumption is based on the Central Limit Theorem, which states that when the sample size is large enough, the distribution of sample means will be approximately normal, regardless of the shape of the underlying population distribution.

In the case of a linear relationship between two variables, we can assume that the residuals (the difference between the observed y values and the predicted values based on the linear regression model) follow a normal distribution with mean 0 and constant variance. This assumption is important because it allows us to use statistical methods that rely on normality, such as hypothesis testing and confidence intervals.

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The link between s, t, and u is therefore u2= t2+s2 and provides the answer to the triangle problem.

A triangle is a polygon since it has three parts and three vertices. It is a basic geometric shape. A triangle with the corners A, B, & C is referred to as a triangle ABC. A singular plane & triangle in Geometric shapes are found so when three components are not collinear. Due to its right side and three corners, triangles are considered polygons. The corners of a triangle are defined as the locations at which its three sides meet. 180 degrees is obtained by multiplying three triangle angles.

Here,

Given: Triangle STU is a right triangle in this instance.

Thus,

We learn:

parts s, t, and u

Their connection is as follows:

Given that it's a right triangle

So,

The Pythagoras Theorem states that

=>u²= t²+s²

The link between s, t, and u is therefore u2= t2+s2 and provides the answer to the triangle problem.

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The simplification of the expression is,

⇒ 1140√2 i

We have to given that;

The expression is,

⇒ (2√ -54) (10√48)

Now, We can simplify as;

⇒ (2√ -54) (10√48)

⇒ (2 x 3 √6i ) (10 x 4 √3)

⇒ 480i x √2 x 3

⇒ 1140√2 i

Thus, The simplification of the expression is,

⇒ 1140√2 i

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Answer:

Step-by-step explanation:

Correct option is C

Replacing in the formula and solving for r, we have:

This equation represents a family of curves, each of which is a level curve of the function f(x,y) = x^3 y passing through the point (-1,-1).

To find the equation of the level curve of the function f(x,y) = x^3 y that passes through the point (-1,-1), we need to find all points (x,y) such that f(x,y) is equal to a constant value k.

Let's assume that the constant value is k = f(-1,-1) = (-1)^3(-1) = -1.

Then, we have:

f(x,y) = x^3 y = -1

Solving for y, we get:

y = -1/x^3

Therefore, the equation of the level curve passing through (-1,-1) is:

y = -1/x^3

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