A newspaper conducted a statewide survey concerning the 2008 race for state senator. The newspaper took a random sample (assume it is a SRS) of 1200 registered voters and found that 620 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state that would vote for the Republican candidate. Which of the following is closest to the sample size you would need in order to estimate p with margin of error 0.01 with 95% confidence? Use 0.5 as an approximation of p. A. 49 B. 1500 C. 4800 D. 4900 E. 9604

Answers

Answer 1

To estimate the proportion of registered voters with a margin of error of 0.01 and a 95% confidence level, a sample size of approximately 9604 is required. This ensures a reasonable level of precision in estimating the true proportion.

To estimate the proportion (p) of registered voters in the state who would vote for the Republican candidate with a margin of error of 0.01 and a 95% confidence level, we can use the formula for sample size calculation for proportions:

n = (Z^2 * p * (1 - p)) / (E^2)

Where:

n = required sample size

Z = z-score corresponding to the desired confidence level (for a 95% confidence level, Z ≈ 1.96)

p = estimated proportion (approximated by 0.5)

E = margin of error

Plugging in the values into the formula, we have:

n = (1.96^2 * 0.5 * (1 - 0.5)) / (0.01^2)

n ≈ 9604

Therefore, the closest sample size you would need in order to estimate p with a margin of error of 0.01 and a 95% confidence level is 9604.

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Related Questions

What is the symbol in the picture mean and do?

What is the symbol in the picture mean and do?

Answers

Answer:

it's an angle symbol, it indicates an angle in a set of intersecting lines or inside a triangle. This question probably came with an image that will help you determine the measure of degrees of the angle K (m indicates measure)

Step-by-step explanation:

(Need it urgently, thank you!)

Write a two-column proof.
Given: AC bisects ZBAD, ZBCA ZDCA
Prove: BC= DC

(Need it urgently, thank you!)Write a two-column proof.Given: AC bisects ZBAD, ZBCA ZDCAProve: BC= DC

Answers

Left Column: AC bisects ZBCA ZDCA. Right Column: Angle ZBAC = Angle ZDCA (Angle Bisector Theorem).

What is an angle bisector theorem?

Angle bisector theorem states that in any triangle, the line that bisects an angle also divides the opposite side into two segments that are proportional to the other two sides of the triangle. This theorem can be used to prove that the angle bisector of any triangle is the perpendicular bisector of the opposite side. In other words, the line that bisects the angle of a triangle will also divide the opposite side into two segments with lengths that are equal to the ratio of the other two sides of the triangle.

Left Column                                           Right Column

1. AC bisects ZBAD                                    1. AC bisects ZBCA ZDCA

2. ZBAD = ZBCA + ZDCA                                 2. Angle ZBAC = Angle ZDCA (Angle Bisector Theorem)

3. Angle ZBAC = Angle ZBCA + Angle ZDCA               3. BC = DC (Congruent Sides of Congruent Triangles)

4. Angle ZBCA = Angle ZDCA                            

5. BC = DC (Congruent Sides of Congruent Triangles)  

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A paint can has a diameter of 17 centimeters and a height of 24 centimeters. What is the surface area of the can? 2.775 76 cm 2 o 1734 85 cm 2 O 1494 64 cm2 4.377 16 cm 2​

Answers

Answer:

1734.85

Step-by-step explanation:

Answer:

the correct answer is 1,734.85cm2

Step-by-step explanation:

i did the assignment and got it right

what is 5/11 closest too

Answers

Answer:

__

0.45

__

__ means it's on-going, so 0.45454545

There are 15 boys in school base ball team , they represent 5% of grace Christian school , In all how many are there in school

Answers

Answer:

300

Step-by-step explanation:

\(5\% \: of \: x = 15 \\ x = 1500 \div 5 = 300\)

Suppose you roll a special 37-sided die. What is the probability that one of the following numbers is rolled? 35 | 25 | 33 | 9 | 19 Probability = (Round to 4 decimal places) License Points possible: 1 This is attempt 1 of 2.

Answers

Answer:

5/37

Step-by-step explanation:

There are 37 possible outcomes when rolling a 37-sided die, so the probability of rolling any one specific number is 1/37.

To find the probability of rolling any of the given numbers (35, 25, 33, 9, or 19), we need to add the probabilities of rolling each individual number.

Probability of rolling 35: 1/37

Probability of rolling 25: 1/37

Probability of rolling 33: 1/37

Probability of rolling 9: 1/37

Probability of rolling 19: 1/37

The probability of rolling any one of these numbers is the sum of these probabilities:

1/37 + 1/37 + 1/37 + 1/37 + 1/37 = 5/37

So the probability of rolling any of the given numbers is 5/37, which is approximately 0.1351 when rounded to four decimal places.

Choose the most apt description of expected value. The standard deviation of a random variable. The best result you can hope for in an experiment. The median of a random variable. What you should expect to happen in an experiment every time. The long-term average outcome of an experiment.

Answers

The most apt description of expected value is: The long-term average outcome of an experiment.

Expected value refers to the long-term average outcome of an experiment. It is a mathematical concept that represents the average value of a random variable over an infinite number of trials.

In other words, it is the sum of all possible outcomes of an experiment, weighted by their probability of occurring.

Expected value is a crucial concept in probability theory and statistics, as it helps in predicting the likely outcome of an experiment or event. It is often used in decision-making processes, such as in finance and insurance, to calculate the potential risks and rewards associated with different options.

The other options listed in the question are not correct definitions of expected value. The standard deviation is a measure of the variability or spread of a random variable, while the best result and median are specific values that may or may not be related to the expected value.

What you should expect to happen in an experiment every time may be related to the expected value, but it is not a precise definition.

Overall, expected value is a fundamental concept in probability theory and statistics that represents the long-term average outcome of an experiment or event.

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Bev has 1/3 cup of cereal. Her bowl holds 1/2 cup of cereal. How much of the bowl can she fill with cereal?

Answers

Answer:

2/3

Step-by-step explanation:

Given that :

Bev's cup capacity = 1/2

Fraction of cereal Bev has = 1/3

How much of the amount can be filled by the cup of cereal Bev has?

Fraction of cereal Bev has OF cup capacity

1/3 ÷ 1/2

1/3 * 2/1

(1*2) / (3*1)

= 2/3 of Bev's 1/2 capacity cup

Hence, 1/3 cup of cereal which Bev has will fill 2/3 of Bev's 1/2 capacity cup of cereal.

PLEASE HELP URGENT!!!!!!!!!!!!!!!!

PLEASE HELP URGENT!!!!!!!!!!!!!!!!

Answers

Greetings! Hope this helps!

Answer

Answer choice B)

Have a good day!

_______________

A brainliest would help tons! :D

Answer:

The answer is C

235_{\text {eight }}-37 eight 543_{\text {eight }}-54 eight

Answers

To solve the given expression, we need to perform subtraction in base 8 (octal) arithmetic. Let's break it down step by step:

Subtracting 37 eight from 235 eight:

Starting from the rightmost digit, we subtract 7 from 5, which gives us 16 eight. Since 16 exceeds the highest digit in base 8 (7), we need to regroup. We regroup 1 as 1 eight and borrow 8 to the next column. Then, we subtract 3 from 3, which gives us 0. Finally, we subtract 3 from 1 (after borrowing), resulting in 10 eight.

Subtracting 54 eight from 543 eight:

Similar to the previous step, we subtract digit by digit. Starting from the rightmost digit, we subtract 4 from 3, which requires regrouping. We regroup 1 as 1 eight and borrow 8 to the next column. Then, we subtract 5 from 4 (after borrowing), resulting in 13 eight.

Therefore, the final result is 1016 eight - 135 eight.

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Which best describes the composition of transformations that maps ΔLMN to ΔL'M'N?

Which best describes the composition of transformations that maps LMN to L'M'N?

Answers

Answer:

a

Step-by-step explanation:

its A

Option C us correct, (D₂oR x-axis)(ΔLMN)  best describes the composition of transformations that maps ΔLMN to ΔL'M'N

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We have to find the composition of transformations that maps ΔLMN to ΔL'M'N.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

The graphs can be translated or moved about the xy-plane.

A translation is a movement of the graph either horizontally parallel to the x-axis or vertically parallel to the y-axis.

As we observe the graph dilation and reflection applied to triangle LMN to get triangle L'M'N'.

A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size.

(D₂oR x-axis)(ΔLMN) is the transformations that maps ΔLMN to ΔL'M'N.

Hence, Option C us correct, (D₂oR x-axis)(ΔLMN) is the transformations that maps ΔLMN to ΔL'M'N.

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Help me, please this is urgent

Help me, please this is urgent

Answers

Answer:

4s-10.

Step-by-step explanation:

To get the perimeter, add up all 4 sides.

=1 + 1 + (2s-6) + (2s-6)

Now combine like terms.

= 2 -12 + 4s

= -10 + 4s

= 4s-10

what is the eccentricity of an infinitely long ellipse?

Answers

Answer:

1

Step-by-step explanation:

Given \(a\), half the length of the major axis, and \(b\), half the length of the minor axis for an ellipse, its eccentricity is \(\displaystyle e=\sqrt{1-\frac{b^2}{a^2}}\), which tells us how close the ellipse is to the shape of a circle or how flat and round it is. An infinitely long ellipse would have an infinitely long major axis, so the greater the \(a\) value, the eccentricity gets infinitely closer to 1.

In △ E F G △EFG, K K is the centroid. If K J = 7 KJ=7, find F K FK. E J G I F H K

Answers

The answer is 50 degrees
You get this by subtracting 180-130

please check my answer!!!!!!

please check my answer!!!!!!

Answers

Answer: Its correct

Step-by-step explanation:

It is correct
Haobxhalbauabaapa a

Can you help? I'll give brainliest

Can you help? I'll give brainliest

Answers

Answer:

w=2 3/4

Step-by-step explanation:

Please help me!! No files allowed. I need the answer and an explanation!

Please help me!! No files allowed. I need the answer and an explanation!

Answers

Answer:

I belive the answer is 1/324

what’s the ratio of 9

Answers

Answer:

x2y = 9

Step-by-step explanation:

The vertices of a rectangle are (1,0),(1,a),(5,a), and (5,0). The vertices of a parallelogram are (1,0),(2,b),(6,b), and (5,0). The value of a is greater than the value of b. Which polygon has a greater area? Explain your reasoning.

The vertices of a rectangle are (1,0),(1,a),(5,a), and (5,0). The vertices of a parallelogram are (1,0),(2,b),(6,b),

Answers

The rectangle is the polygon with a greater area.

Polygons are closed two-dimensional shapes with straight sides.

The Given problem compares the area of two polygons, a rectangle and a parallelogram. To determine which polygon has a greater area, we need to calculate the area of each polygon.

Let's start with the rectangle. The length of the rectangle is the distance between (1,0) and (5,0), which is 4 units. The width of the rectangle is the distance between (1,0) and (1,a), which is a units. Therefore, the area of the rectangle is 4a square units.

Now, let's move on to the parallelogram. The length of the parallelogram is the distance between (1,0) and (6,b), which is 5 units. The height of the parallelogram is the distance between (2,b) and (5,0), which is b units. Therefore, the area of the parallelogram is 5b square units.

Since a is greater than b, we can conclude that the rectangle has a greater area than the parallelogram. Therefore, the rectangle is the polygon with a greater area.

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what is 47- 24 (x+3)x

Answers

23x2+69x and that’s correct lol

TRUE/FALSE When inserting a value into a partially-filled array, in descending order, the insertion position is the index of the first value smaller than the value.

Answers

The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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Use the figure to select another name for ∠9 . Select all that apply.

Use the figure to select another name for 9 . Select all that apply.

Answers

Answer:

SRM, MRS

Step-by-step explanation:

Consider a continuous-time Markov chain with three states 1, 2, 3, 4, 5 and transition rates q12=1, q13 = 2, q21 = 0, q23 = 3, q31 = 0, q32 = 0. (1) Write the system of ODEs for the corresponding transition probabilities Pᵢⱼ (t) . (2) Suppose that the initial state is 1. What is the probability that after the first transition, the process X(t) enters state 2?

Answers

the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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I am a 5-digit number between 52,000 and 53,000. The sum of my digits is 21. My ones digit is a multiple of 3. My tens digit is equal to my hundreds digit.
Read the clues. Find the number

Answers

Step-by-step explanation:

5 digit number

5abcd

a = 2 or a = 3. but a = 3 means the upper limit of 53,000. and the sum of digits is 8 and not 21.

so, a = 2.

d = 3n

c = b

5 + a + b + c + d = 21

5 + a + 2b + 3n = 21

a + 2b + 3n = 16

2 + 2b + 3n = 16

2b + 3n = 14

so, n must be an even number to allow an even result (14). therefore, n = 0 or n = 2 (any larger even number n like 4 would not create a single digit result)

if n = 0, then 2b = 14, b = 7

if n = 2, then 2b + 6 = 14, 2b = 8, b = 4

so, we have the options

52770

52446

I suspect that 0 as 0×3 is not considered a multiple of 3 by your teacher, so only n = 2 (or d = 6) is a desired solution.

therefore, I would use

52446

as answer.

a picture that measures 8 inches by 12 inches is placed in a frame of uniform width. if the area of the frame and picture together is 320 square inches, what is the width of the frame?''

Answers

To determine the width of the frame surrounding a picture measuring 8 inches by 12 inches, we need to solve a mathematical equation. Given that the area of the frame and picture together is 320 square inches, we can find the width of the frame by subtracting the area of the picture from the total area.

Let's assume the width of the frame to be x inches. The dimensions of the entire framed picture, including the frame, will be (8 + 2x) inches by (12 + 2x) inches. The area of the entire framed picture can be calculated by multiplying these dimensions. Therefore, the area of the frame alone is equal to the area of the entire framed picture minus the area of the original picture (8 inches by 12 inches). We have the equation (8 + 2x)(12 + 2x) - (8)(12) = 320. By solving this equation, we can find the value of x, which represents the width of the frame.

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A laptop has a listed price of $531.99 before tax. If the sales tax rate is 9.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

the answer is

Step-by-step explanation:

531.99 x 0.95= 50.53

531.99 + 50.33= $582.52

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BRAINLIEST ME PLEASE PLEASE PLEASE PLEASE

The Jelly Bean jar has a radius
of 6.2 cm and a height of 18.3
cm.
What would be a reasonable
lower limit for the number of
jelly beans in the jar?

Answers

A reasonable lower limit for the number of jelly beans in the jar is about 13,098.

What is the lower limit?

To estimate the lower limit for the number of jelly beans in the jar, we need to calculate the volume of the jar and divide it by the volume of a single jelly bean. This will give us an estimate of the maximum number of jelly beans that can fit in the jar.

The volume of a right circular cylinder, such as the jelly bean jar, is given by the formula V = πr²h, where r is the radius and h is the height.

In this case, the radius is 6.2 cm and the height is 18.3 cm, so the volume of the jar is:

V = π(6.2 cm)²(18.3 cm) ≈ 6791.9 cm³

Now, we need to estimate the volume of a single jelly bean. Let's assume that a jelly bean is approximately a sphere with a radius of 0.5 cm. Then, the volume of a single jelly bean would be:

V_jelly bean = (4/3)π(0.5 cm)³ ≈ 0.52 cm³

Finally, we can estimate the lower limit for the number of jelly beans in the jar by dividing the volume of the jar by the volume of a single jelly bean:

Number of jelly beans ≈ V_jar / V_jelly bean ≈ 6791.9 cm³ / 0.52 cm³ ≈ 13098.1

Therefore, a reasonable lower limit for the number of jelly beans in the jar is about 13,098.

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what's the value of x 16x+9​

Answers

Answer:

x2+16x=9 x 2 + 16 x = 9. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b . (b2)2=(8)2 ( b 2 ) 2 . x^2+16x+9=0

Step-by-step explanation:

if this is not

2/9x + 3 > 4 5/9
what graph shows the values that satisfy the expression

Answers

Answer:

Step-by-step explanation:

In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.

Next, you solve the equation by finding x. Just don't mind the inequality symbol:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

Five out of six residents of Mayville have library cards. Which tool will best allow Darren to simulate this scenario and predict whether a randomly chosen resident has a library card?

Answers

Answer:

A number cube

Step-by-step explanation:

A coin a 5-sector spinner a number cube a bag of 11 marbles

A number cube is the best to simulate this scenario and predict whether a randomly chosen resident has a library card.

As Coin has only 2 outcomes "Head" and "Tail".

A 5-sector sector spinner has only 5 outcomes we need six outcomes.

A bag of 11 marbles has no differentiated with respect to colors etc.

Hence, A number cube is correct to chosen five out of six residents of Mayville have library cards.

Answer:

c

Step-by-step explanation:

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