A 95% confidence interval will be used to obtain an estimate for an unknown population proportion pi. What is the smallest sample size that will guarantee a margin of error of at most 0.08?

Answer:

120

Step-by-step explanation:

5!, called 5 factorial is the product of all positive intergers from 5 down though 1. by definition, 0! is 0.

Factorials are basically the number times itself-1 the 2 the 3 until it times it by itself-(itself-1). n!=n*(n-1)*n(n-2).....*n-(n-1).

For example 2!=2*1=2 and 6!=6*5*4*3*2*1=720

keep in mind that I am not an expert so the blanks I filled in might be wrong and the explanation might have errors

5!, called "5 factorial," is the product of all positive integers from 5 down through 1. By definition, 0! is equal to 1.

Factorial is a mathematical operation denoted by an exclamation mark (!). It represents the product of all positive integers from a given number down to 1. In the case of 5!, it is calculated as 5 × 4 × 3 × 2 × 1, resulting in the value of 120.

The exclamation mark notation allows us to represent the factorial of a number concisely. For example, 5! represents the factorial of 5. It is important to note that 0! is defined to be equal to 1. This is a special case in factorial calculations. While it may seem counterintuitive, it is defined this way to maintain consistency and enable certain mathematical calculations and formulas.

Therefore, 5! is the product of all positive integers from 5 down through 1, equaling 120, and 0! is defined to be 1.

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There are no sign changes in the first column of the Routh array, therefore the system is stable.

Given: Characteristic equation for system `(a)`: 12s⁵ + 4s⁴ + 6s³ + 2s² + 6s + 4 = 0

Characteristic equation for system `(b)`: 12s⁵ + 8s⁴ + 18s³ + 12s² + 9s + 6 = 0

To determine the stability of the systems with the given characteristic equations, we need to find out the roots of the given polynomial equations and check their stability using Routh-Hurwitz criteria.

To find out the stability of the system with given characteristic equation, we have to check the conditions of Routh-Hurwitz criteria.

Let's discuss these conditions:1. For the system to be stable, the coefficient of the first column of the Routh array must be greater than 0.2.

The number of sign changes in the first column of the Routh array represents the number of roots of the characteristic equation in the right-half of the s-plane.

This should be equal to zero for the system to be stable.

There should be no row in the Routh array which has all elements as zero.

If any such row exists, then the system is either unstable or marginally stable.

(a) Let's calculate Routh-Hurwitz array for the polynomial `12s⁵ + 4s⁴ + 6s³ + 2s² + 6s + 4 = 0`0: 12 6 42: 4 2.66733: 5.6667 2.22224: 2.2963.5 0.48149

Since, there are 2 sign changes in the first column of the Routh array, therefore the system is unstable.

(b) Let's calculate Routh-Hurwitz array for the polynomial `12s⁵ + 8s⁴ + 18s³ + 12s² + 9s + 6 = 0`0: 12 18 62: 8 12 03: 5.3333 0 04: 2 0 05: 6 0 0

Since there are no sign changes in the first column of the Routh array, therefore the system is stable.

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Answer:

1742 is divided by 2.16 than answer is 418.75

The phrases "how does it take over a complete being in a single, momentary look" are used to describe who feels for the other more in the relationship, they say. As a result, choice D is right.

I experience momentary emotions at any particular time. It's essential for me to acknowledge that bad emotions exist when they do. and to pay close attention to them. That helps me better manage these emotions.

When a switch is activated and the button removed, the switch performs a brief action and then returns to its original state.

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The correct question is:

How do the phrases "how does it take over an entire being in a single, momentary glance", "not only beloved by the gods but also beloved by me, Ariadne", and "together as one being for all eternity" impact the meaning of the story?

(A) They describe how quickly Ariadne and Theseus fell in love.

(B) They explain how Ariadne was the one who initiated the relationship.

(C) They emphasize how Ariadne is easily overcome by feelings of love.

(D) They explain who cares more for the other in the relationship.

Answer:

yess!!!

step-by-step explained.

......

Answer:

c

Step-by-step explanation:

And The opposite of the 54 is 1200s. That 1200 go on top and then below the hypothesis D. So Since it's opposite of hypotenuse opposite over hypotenuse, we signed 54 is 1200 over d. Here's what he says, Another way to look at this is like this 1200 Indians. This dash line drew is also 1200 And when it comes to this 54° angle, it's the same thing opposite. 1200 divided by the hypothesis of D.

Answer:

1. An octagon has 8 sides.

2. A triangle has 3 angles.

3. A hexagon has 6 angles.

4. A heptagon has 7 sides.

5. A pentagon has 5 sides.

6. A heptagon has 7 angles.

7. A quadrilateral has 4 angles.

8. A triangle has 3 sides.

9. A hexagon has 6 angles.

10. An octagon has 8 angles.

Step-by-step explanation:

Answer:

The third answer is correct.

Step-by-step explanation:

You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral.  Then you need the scale factor from the smaller figure to the larger.  

Side EF times the scale factor will give you side AB.  Let's call the scale factor s then our equation would be:

EF x s = AB  To find s divide both sides by EF

\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)

s = \(\frac{AB}{EF}\)  This is our scale factor.

Helping in the name of Jesus.

Answer:

(4x-3)°=37

Step-by-step explanation:

solve for x

6x-7+90+4x-3=180

10x=180-80

10x= 100

x=10°

from the equations;

4x-3= 4(10)-3=37° and

6x-7= 6(10)-7=53

therefore the smallest angle =(4x-3) =37

Answer:

Step-by-step explanation:

the area of the rectangle is : -7y² ( -2y^4+y²-1)

14y^6-7y^4+7y²   unit

Answer:

$15.00

Step-by-step explanation:

25% of anything means a quarter of that thing. (ie.1/4 of $60 which is $15).

OR

(25/100)*$60

0.25*60=$15

Answer: 26

Step-by-step explanation:

Answer: the answer is 7

Step-by-step explanation: the lowest number is 3 and the biggest one is 10 so you substract 10-3 and you get 7

Answer:

7.

Step-by-step explanation:

In order to find the range, you need to:

1. Arrange the set of numbers in order from smallest to largest.

2. Identify the smallest and largest numbers in the set.

3. Subtract the smallest number from the largest.

Therefore, your answer is 7.

Happy to help. :)

The sample is biased because sample size is too small. So option (1) she should have asked more people is the correct answer.

Sampling bias is a bias in which a sample is collected in such a way that some members of the intended population have a lower or higher sampling probability than others. Sampling bias occurs when some members of a population are systematically more likely to be selected in a sample than others.

For the given situation,

Sample size = 20

Here Matilda have surveyed only 20 people. Since it is a less value, the sample is biased.

We could not take as the population suggestion with the suggestion of only seven people.

To know the population's liking's, Matilda should have asked more people in the street if they would like to discuss what they want to do during the summer break asked more number of people in the population.

Hence we can conclude that the sample is biased because sample size is too small. So option (1) she should have asked more people is the correct answer.

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The correct  slope and the y-intercept of the linear function that is represented by the graph is: The slope is Two-thirds, and the y-intercept is –2.

In a linear function represented by a graph, the slope is the ratio of the vertical change (change in y) to the horizontal change (change in x) between any two points on the line. The y-intercept is the value of y when x is equal to 0.

In the given options, the only choice that matches the given information is "The slope is Two-thirds, and the y-intercept is –2."A linear function is typically represented by the equation y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

In the given options, the first option states that the slope is Two-thirds, and the y-intercept is –2. This means that the equation representing the linear function would be y = (2/3)x - 2.

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1. What is the solution set of the equation below?

|2x - 3|= 11

O A. {4}

O B.{7}

C. {-7,4}

D. {-4,7)

step 1

Find the solution of positive case

+(2x-3)=11

2x=11+3

2x=14

x=7

step 2

Find the solution of negatice case

-(2x-3)=11

Multiply by -1 both sides

2x-3=-11

2x=-11+3

2x=-8

x=-4

the solutions are x=7 and x=-4

therefore

tey answer is option B

Answer:

66/7 or 9.429 or 9  \(\frac{3}{7}\)

Step-by-step explanation:

6/7=x/11

Multiply by 11 to get x alone

Multiply (6/7) by 11 to get 9.42857143=x

The 95% confidence interval for the mean birth weight of girls, based on a sample of 12 observations, is estimated to be approximately 29.627hg to 32.707hg.

A confidence interval provides an estimate of the range within which the true population parameter (in this case, the mean birth weight of girls) is likely to fall. To construct a 95% confidence interval, we can use the formula:

Confidence interval = sample mean ± (critical value) × (standard deviation / square root of sample size)

Given the sample statistics, n = 12, = 31.167hg, and s = 3.157hg, we can compute the standard error by dividing the standard deviation by the square root of the sample size: s / sqrt(n) = 3.157 / sqrt(12) = 0.910hg.

To find the critical value corresponding to a 95% confidence level, we need to determine the degrees of freedom (n-1) and refer to the t-distribution table or use statistical software. Assuming a t-distribution with 11 degrees of freedom, the critical value for a 95% confidence level is approximately 2.201.

Substituting the values into the confidence interval formula, we have:

Confidence interval = 31.167 ± (2.201) × (0.910) = 31.167 ± 2.004 = (29.627hg, 32.707hg).

Therefore, we can be 95% confident that the true mean birth weight of girls lies within the range of approximately 29.627hg to 32.707hg, based on the given sample data.

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The coordinates of the specified vertex after the given sequence of transformations is given by;

Q' = (3, -3).

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Mathematically, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

By translating the coordinate Q (1, 3) two (2) units to the right, we have the following:

Coordinate Q (1, 3) → Coordinate Q' (1 + 2, 3) = Q (3, 3)

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection over the x-axis is given by this transformation rule:

(x, y)      →       (x, -y)

Coordinate Q' (3, 3) → (3, -3).

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The circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle.

In geometry, the circumscribed circle or circumcircle of a polygon is a circle that passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.

Not every polygon has a circumscribed circle. A polygon that does have one is called a cyclic polygon, or sometimes a concyclic polygon because its vertices are concyclic. All triangles, all regular simple polygons, all rectangles, all isosceles trapezoids, and all right kites are cyclic.

A related notion is the one of a minimum bounding circle, which is the smallest circle that completely contains the polygon within it, if the circle's center is within the polygon. Every polygon has a unique minimum bounding circle, which may be constructed by a linear time algorithm.

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The outcomes are, Flibanserin either performs no better than a placebo or performs better than a placebo; a decision must be taken.

What is possible outcomes?

An outcome is a potential finding from a test or experiment. Each conceivable result of a specific experiment is distinct, and many results are incompatible. The components of a sample space are all the potential results of an experiment.

As, an experiment like the one described above ultimately has to make a choice between two possible outcomes, therefore, Flibanserin either performs no better than a placebo or performs better than a placebo; a decision must be taken.

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Answer:

The scores from Mrs. Rijo’s class are the closest to the class mean.

Step-by-step explanation:

Just took the test

Answer:what

Step-by-step explanation:what does this mean

Answer:

4 plants

Step-by-step explanation:

convert the capacity of the watering can to millimeters

1L = 1000 milliliters

1 x 1000 = 1000 millimeters

Plants that can be watered = capacity of the watering can / amount of water a plant needs

1000 / 250 = 4 plants

Based on the function properties, the linear equation that will pass through the origin is w = 10v

From the question, we have the following parameters that can be used in our computation:

w and v are integers

As a general rule;

A linear equation that passes through the origin has the form y = mx

Where m is the slope

Using the variables w and v, we have

w = mv

Set m = 10 or any integer value

So, we have

w = 10v

Hence, the equation of the linear function is w = 10v

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Answer:

m = \(\frac{37}{30}\) or 1.23

Step-by-step explanation:

6m + 2.3 = 9.7

6m = 9.7 - 2.3

6m = 7.4

m = \(\frac{37}{30}\) or 1.23

As we can conclude that Site 5 is most likely immediately downstream from the dairy farm.

When we talk about the impact of the dairy farm's runoff on water quality, we must consider the concept of downstream. Downstream refers to the direction in which water flows. In a watershed, water flows from higher elevations to lower elevations. Thus, the site downstream of the dairy farm would be the one that receives water after it has passed through the farm.

Looking at the table provided, we can see that Site 5 has the highest values for nitrate, ammonia, and total phosphorus, which are all indicators of pollution. This indicates that Site 5 is likely to be immediately downstream of the dairy farm.

This conclusion is supported by the fact that Site 5 has the highest levels of pollutants, and it is the last site listed in the table. This means that the water flowing through Site 5 has already passed through the other four sites, including the dairy farm, before reaching Site 5.

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You did not provide directions. What do you want us to do with your 8th degree polynomial?

Answer:

7 1/2

Step-by-step explanation:

A water tank contains 12 1/2 liters

= 25/2

Two fifth of it was consumedd

= 25/2 ×2/5

= 50/10

= 5

12.5-5

= 7.5

= 7 1/2