As the sample size increases, the margin of error _____.

Answers

Answer 1

As the sample size increases, the margin of error decreases.

What is margin of error?

A margin of error is known to be a statistical measurement that states the difference between apparent and projected results in a random sample survey.

From the formula:

MOE = z × √σ²/n

Where

σ = standard deviation

z = quantile

n = sample size

MOE = margin of error

From the formula, sample size is inversely proportional to the margin of error.

Hence, as the sample size increases, the margin of error decreases.

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Related Questions

PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST
Write the ratio for sin A

Answers

Answer:

Step-by-step explanation:

Formula

The sin(A) =  opposite / hypotenuse

Givens

Opposite = CB = 11

Hypotenuse = AB = 61

Solution

Sin(A) = 11/61

Sin(A) = 0.1803

Answer

Sin(A) = 11/61

Sin(A) = 0.1803

Can someone please answer this math?

Answers

The volume of the cylinder will be 621.72m³.

How to calculate the volume?

Thw volume of a cylinder will be:

= πr²h

= 3.14 × 3² × 22

= 621.72 m³

The volume of the cone will be:

= 1/3πr²h

= 1/3 × 3.14 × 2² × 12

= 25.12m³

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All of the following are equivalent, except.

Answers

Answer: B.

Step-by-step explanation: This is because you can't possibly have an exponent, there are no two of the same value being multiplied together.

Probability and Playing Cards
There are 52 total cards in the deck.
There are 13 spades, 13 clubs, 13 diamonds, and 13 hearts.
Each suit has the following cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king.
Suppose you are dealt two cards from the deck. What is the probability of being dealt two aces?

Answers

Answer:

do the calculation below

Step-by-step explanation:

(4/52 ) *(3/51)

leave a comment if you need more help

ΔXYZ has angles with the following measurements:
m∠X=(10x-33)°
m∠Y=(4x-19)°
m∠Z=(100-2x)°
What are the measures of the three angles?

Answers

Answer:

Below in bold.

Step-by-step explanation:

The 3 angles add up to 180 degrees as they are in a triangle.

So 10x - 33 + 4x - 19 + 100 - 2x = 180

12x = 180 + 33 + 19 - 100

12x = 132

x = 11.

So the 3 angles are

10(11) - 33 = 110 - 33 = 77 degrees

4(11) - 19  =  25 degrees

100 - 2(11) = 78 degrees

Greg has a piece of rope 18 ft long. He wants to cut it into two pieces so that the longer piece is 2 ft less than 3 times the length of the shorter piece.

How long will each piece of rope be?

Enter your answers in the boxes.

Shorter piece:
ft

Longer piece:
ft

Answers

Answer:

Shorter = 4ft.

Longer = 10ft.

Step-by-step explanation:

Shorter = x

Longer = 3x - 2

Piece of rope = 18

(3x - 2) + x = 18

4x - 2 = 18

4x = 16

x = 4 (shorter piece)

Longer piece

3x - 2

3(4) - 2

12 - 2 = 10

4 divided by 5/7 in its mixed form and simplest form

Answers

[tex]4\div\cfrac{5}{7}\implies \cfrac{4}{1}\div\cfrac{5}{7}\implies \cfrac{4}{1}\cdot \cfrac{7}{5}\implies \cfrac{28}{5}\implies 5\frac{3}{5}[/tex]

80 Points, please help!
If using the method of completing the square to solve the quadratic equation x^2-11x-14=0, which number would have to be added to "complete the square"?

Answers

Answer:

±√177/2+11/2

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Solve for x by using this term to complete the square. Exact Form:x=±√177/2+11/2

x=12.15206734…,−1.15206734…

Answer:

30.25

Explanation:

Quadratic Equation: x² - 11x - 14 = 0

Number added = (b/2)² = (-11/2)² = 30.25

Solving Steps:

x² - 11x = 14

[add both sides by 30.25]

x² - 11x + 30.25 = 14 + 30.25

[complete square]

(x - 5.5)² = 44.25

[exchange sides]

(x - 5.5)² - 44.25 = 0

Amelie solves the following system of equations.
Which values of x and y satisfy this system of equations?

Answers

The values of x and y that satisfy this system of equations are 10 and 5 respectively

Simultaneous equation

Given the system of equations

x + y = 20

3x - 3y = 30

_____________________

x + y = 20

x - y = 10

Add the equations

2x = 20 + 10

2x = 30

x = 30/2

x = 15

Substitute

x -y = 10

15 - y = 10

y = 5

Hence the values of x and y that satisfy this system of equations are 10 and 5 respectively

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The dimensions of a right rectangular prism are 1.5 cm,0.5 cm and 2. 25 cm.
What is the volume of the prism?

Answers

The volume of the triangle will be V=1.6875 cm^3

The full question.the full question you were asking for ​

Answers

Answer:

I'm getting stuck by

[tex] = lim \: \: \: \: \: \: \frac{ {h}^{ \frac{1}{5} } }{h} \\ h > 0[/tex]

Sorry I can't help you out, if you find the answer through FP lmk

y² + 2y - 48 ( factor the polynomial )

Answers

Answer:

(y - 6)(y + 8)

Step-by-step explanation:

Find two numbers that add to 2 and multiply to -48. Then put them in the form above. Afterwards, use FOIL (First, Outside, Inside, Last) to check the factoring and you get: y² + 2y - 48

Have a great day! :)

Answer:

−8, 6

Step-by-step explanation:

Write the factored form using these integers. (y−8) (y+6)

Find the measures of a right triangle where one of the acute angles is 3.5 times the other

Answers

Answer:

the other two angles are 70° and 20°

Step-by-step explanation:

The measures of a right triangle where one of the acute angles is 3.5 times the other angle, the angles are respectively, 20°, 70°, 90°

What are the sum of interior angles of triangle ?

The sum of all the interior angles of a triangle is 180°

Given that,

A right angle triangle,

In which one of the acute angle is 3.5 times the other triangle

Suppose, one of the acute angle = x

then the other triangle = 3.5x

The sum of the triangle = 180°

x + 3.5x + 90° =180°

4.5x  = 180 - 90

        =  90

x   = 90/4.5

    = 20

The one acute angle = 20

The another triangle  = 3.5 x 20

                                    = 70

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find the value of x in 4^2x / 4^x = 64

Answers

Answer:

sorry I don't know

Step-by-step explanation:

sorry

Sam opened a stationery store in his neighborhood. His annual profit grew by $5,000 per year in the first 2 years. Then for 2 years, his annual profit was constant at $10,000 each year. Then his annual profit grew by $10,000 per year for the next 3 years.

Which graph models the piecewise function for the given situation?

Answers

Please find attached the image of the graph that models the function.

What is a graph?

A graph is a pictorial representation of data. A graph is made up of the x-axis and the y-axis.  On this graph, the number of years is on the y-axis and the profit is on the x-axis.

Profit in year 1 = $500 Profit in year 2 = $5000 + $5000 = $10,000Profit in year 3 and 4 = 10,000Profit in year 5 = 10,000 + 10,000 = $20,000Profit in year 6 = 20,000 + 10,000 = $30,000Profit in year 7 = 30,000 + 10,000 = $40,000

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Answer: other dude is correct

Step-by-step explanation:

Q
7/0
The mean weight of 8 girls in a group is 35 kg. The individual weights of seven of then
are 35kg, 28kg, 43kg, 25kg, 33kg, 51kg, and 22kg. Find the weight of the 8th girl.

Answers

The weight of the 8th girl in the class is 43 kg

How to determine the weight of the 8th girl?

The given parameters are:

Mean weight = 35 kg

Weight of 7 girls = 35kg, 28kg, 43kg, 25kg, 33kg, 51kg, and 22kg

Let the weight of the 8th girl be x.

Mean is calculated using:

Mean = Sum/Count

So, we have:

(35+ 28+43+25+33+51+22 + x)/8 = 35

Evaluate the sum

(237 + x)/8 = 35

Multiply both sides by 8

237 + x = 280

Subtract 237 from both sides

x = 43

Hence, the weight of the 8th girl is 43 kg

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[100 POINTS] What is the measure of the arc from A to B that does not pass through C?

(Fill in the blanks)

Answers

Answer:

the answer to the questions is 140

Central angle

2(40)=80°

So measure of arc BC is 80°

Use inscribed angle theorem

The measure of arc from A to B that doesn't pass through C is

180-mBC180-80100°

BRAINLIEST (9th grade mathematics)

Half of the road the boy walked at a speed of 6 m / min, the other half - at a speed of 4 m / min. Calculate the average walking speed of a boy.​

Answers

Answer:

5 m/min

Step-by-step explanation:

Initial speed = 6 m/ min

Final speedd = 4 m/ min

[tex]Average\:speed\:=\:\dfrac{total\:speed}{2}[/tex]

Average speed = [tex]\dfrac{ 6 + 4}{2}[/tex]

Avg. Speed = 5 m / min.

The answer to the question is 10

37, 42, 48, 51, 52, 53, 54, 54, 55

Answers

sorry, what’s the question?

5x + 3 - 2x = 5. What is the value of x?

Answers

Answer:

x = 2/3

Step-by-step explanation:

5x + 3 - 2x = 5

3x = 5-3

3x = 2

x = 2/3

give brainliest please!

hope this helps :)

2/3 because if you take all of the numbers on the right and all of the x’s on the left you get 3x = 2. Which is x = 2/4

What is the volume of the right rectangular prism?
15 mm
Î
Area of base = 49 sq. mm
O 64 mm³
3
O 128 mm³
O 735 mm³
O 1,470 mm³

Answers

Answer:

735mm³

Step-by-step explanation:

V=A of base×h

=49×15

=735mm³

Which angle is vertical to ∠EID?

Answers

Answer:

C

Step-by-step explanation: It's vertical to the angle, together it makes 368 degrees

Answer:

C) Angle HIA

Step-by-step explanation:

Vertical Angles are the angles directly across from each other in a transversal. In this case, angled EID and HIA are vertical to each other (which also makes them congruent).

Hope it helps!

awnser this pls im in a bad mood

Answers

Answer:

I think its 1/6 and if I'm wrong I'm very sorry but I think its 1/6

Step-by-step explanation:

Answer:

it's [tex]7* \frac{1}{6} =\frac{7}{6}[/tex]

Step-by-step explanation:

Yeah same, have a great day I guess i don't know I'm not in the mood

David’s mom recorded the amount of time David spent on homework.

Which measure of central tendency should David’s mom use if she wanted to argue that David did not spend enough time on homework?

Answers

The measure of central tendency that David's mum can use to argue is the mean.

What is the Mean of a Data?

The mean of a data is the average of the data points in the data distribution. The mean is a measure of central tendency.

If David really spent enough time on homework, the average of the time he uses will give David's mum the mean time spent by David, which she can use for her argument.

Thus, David's mum can use the mean as a measure of central tendency.

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Answer:

mode

Step-by-step explanation:

Write the two equations that represent this information

Answers

Answer:

where is the information?

Step-by-step explanation:

Tom and Kathy want to borrow $35,000 in order to build an addition to their home. Their bank will lend them the money for 12 years at an interest rate of 5 3/8%. How much will they pay in interest to the bank over the life of the loan?

Answers

Interest of 35000 =
35000* 3.8 / 100 = 1330
3500 / 12 years = 243
Tom and kathy will they pay in mounth through 12 years .
1330 / 12 years = 9.2

Total pay in mounth = 243+ 9.2 = 252.2

1.Mary has ( 20xy - 10x²) sweets. She wants to divide the sweets each friend will get in term s of x and y

a) if X=6 and Y=4, how many sweets:

i) Will she give to each friend?​

Answers

Answer:

X will get 20 sweets and Y will get 30 sweets.

Step-by-step explanation:

Substitute for x and y in in the equation.

20(6)(4) - 10(6)(6)

480-360

=120

Mary has 120 sweets.

Then divide 120 by 6 and 4

120/6= 20 sweets and 120/4 =30 sweets

Describe the trend in the scatterplot

Answers

Answer:

negative correlation

Step-by-step explanation:

If you were to draw a line of best fit (a line that best expresses the relationship between a group of points), it would have a negative slope.

What figure is a dilation of Figure A by a factor of 12?


A quadrilateral labeled figure A. The sides are labeled 2 inches, 4 inches, 1 inch, and 5 inches, clockwise about the figure.




Note that the images are not necessarily drawn to scale.





A.A quadrilateral. The sides are labeled 1 inch, 3 inches, 0.5 inch, and 4 inches, clockwise about the figure.


B.A quadrilateral. The sides are labeled 4 inches, 8 inches, 2 inches, and 10 inches, clockwise about the figure.


C.A quadrilateral. The sides are labeled 3 inches, 5 inches, 2 inches, and 6 inches, clockwise about the figure.


D.A quadrilateral. The sides are labeled 1 inch, 2 inches, 0.5 inch, and 2.5 inches, clockwise about the figure.

Answers

The dilation factor for the question should be 1/2 as per options

So

dilated lengths are

2(1/2)=1in4/2=2in1/2=0.5in5/2=2.5in

Option D

Answer:

D

Step-by-step explanation:

Figure A is dilated by a scale factor of 1/2.

Hence, new dimensions will be :

⇒ 1/2 × 2 = 1 inch

⇒ 1/2 × 4 = 2 inches

⇒ 1/2 × 1 = 0.5 inch

⇒ 1/2 × 5 = 2.5 inches

Option D has the right dimensions

What is the probability you spin something larger than 10

Answers

The probability you spin something larger than 10 will be 1  /  2.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The given data is:-

There are 8 numbers in the spinner.We need to find the probability of a number greater than 10.

The probability will be calculated as:-

Total numbers = 8

Numbers greater then 10 are = 13 , 16 , 22 , 42 = 4

Probability  =  4  /  8  =  1  /  2

Therefore the probability you spin something larger than 10 will be 1  /  2.

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Read the excerpt from Pericles's funeral oration byThucydides.We make friends by doing good to others, not byreceiving good from them. This makes our friendship allthe more reliable, since we want to keep alive thegratitude of those who are in our debt by showingcontinued good-will to them....We are unique in this.When we do kindnesses to others, we do not do themout of any calculations of profit or loss: we do themwithout afterthought, relying on our free liberality,Mark this and returnWhich rhetorical appeal does the speaker most use inthe excerpt?ethoskairoslogos pathos the picture below illustrates a special type of comic section called a circle. which of the following offers the best description of how a circle is formed? HELP ASAP PLEASESabrina grows flowers. In a competition with other flower growers,she earned the following scores: 7, 10, 10, 6, 7, 8, 8, 7, 9.a. What is the median?b. What is the first quartile?c. What is the third quartile?d. Draw a box plot of the data.e. Write two conclusions about the data shown in the box plot. Who is the first engineer of world ? and why? A dialogue between a waiter and a customer in fre Find the volume of the rectangular prism in cubic feet. 3.4 ft 0.8ft 0.6ft "these are not the answers these are the ft of the prism Which example best demonstrates an impact of computers on the economy? Find the x-intercept and y-intercept of each linear function which of the following is the equation of a line in sloep intercept form for a line with slope = 1/3 and y intercept at 0,-4 In your opinion, who is the best Lord of the Rings character? the students spent two and a half hours on the field. during that time they took three 10-minute breaks. how much time did they spend gleaning the field? An example of polytamic anoin would be a. Ca+2 b. NH4+ c. F d. PO4-3 For some MNP: P = 38, N = 90, and m = 12 cm. Solve the triangle. Hint: Sketch thetriangle and label all unknown parameters. (-2,4) on cordinate plane By the preschool years children: spend over two hours a day with some form of media. are unaffected by the content of violent media. can regulate emotions at an adultlike level. primarily learn through interactions with siblings. Airborne chemical substances travel up the nose to the olfactory __________, which is the receptor for smell. a. cilia b. cortex c. bulb d. base please select the best answer from the choices provided a b c d A dollar today is worth Blank______ a dollar in the future because it can be reinvested. Multiple choice question. the same as more than less than Read this passage. How does the author seem to feel about the character?"Now he was a sturdy, straw haired man of thirty with a rather hardmouth and supercilious manner. Two shining, arrogant eyes hadestablished dominance over his face and gave him the appearance ofalways leaning aggressively forward." -F. Scott Fitzgerald, The Great GatsbyA. The author admires the character.B. The author does not care about the character.C. The author trusts the character.D. The author dislikes the character. Jamal has run 7 miles from point a to point b of a race. the entire race from point a to point c is 26 miles. how many more miles will he run to complete the race? What are some of the objections people have to mobile food vendors? Cite evidence, by quoting specific details and information from Text 2, to support your answer.