Find the tą/2 value for a 80% confidence interval when the sample size is 6.a. tą/2 (negative value only):

a) The margin of error for an 80% confidence interval in Arkansas is 0.1041

b) if we want to get an 80% confidence interval with a small margin of error, say only 7%. then the sample size must be 53,599,359

The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

n = 3600

standard deviation = 399.876

Confidence Interval = 80%

a) α = 0.20

The margin of error = Zα/2 (σ / √n)

Zα/2 = 1.4395 --- (From the tabular value)

The margin of Error = 1.4395 + 399.876 / √3600

Therefore, the Margin of Error = 8.1041

b) Margin of Error = 0.07 = 7%

α = 0.20

Critical Value = 1.2816

Sample Size = (Zc²σ² / ME²) = (Zcσ / ME)²

n = [(1.2816 * 399.876) / 0.07]²

n = 53599358.98

Therefore, Sample size, n = 53599359

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Answer:

10.. love yall hope i helped can i get brainliest

Step-by-step explanation:

Answer:

[See Below]

Step-by-step explanation:

✦ Formula:

  ✧ a² + b² = c²

✦ Rewrite:

  ✧ 8² + 6² = c²

✦ Solve the powers:

  ✧ 8² = 64

  ✧ 6² = 36

✦ Add:

  ✧ 64 + 36 = 100

Now find the root of 100:

  ✧ √100 = 10

So the answer is A, 10.

~Hope this Helps Mate. If you need anything feel free to message me.

Zoe walks from her house to a bus stop that is 460 yards away. The varying distances would depend on where Zoe begins her walk. if she starts closer to the bus stop, she would walk a shorter distance.

The varying distances would refer to the different distances Zoe might walk on different occasions. For example, she might take different routes or make detours, causing the actual distance she walks to vary.

However, without more information about Zoe's specific routes or circumstances, it is not possible to provide more detailed information about the varying distances.

However, if she starts closer to the bus stop, she would walk a shorter distance.

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Therefore,  The length of the hollow cylindrical pipe is approximately 55.48 meters.

To solve this problem, we will first find the volume of the solid iron rectangular block and then use it to find the length of the hollow cylindrical pipe. Here are the steps:

1. Find the volume of the rectangular block:
  Volume = Length × Width × Height
  Volume = 3.5m × 2.4m × 2m = 16.8 m³
2. Convert the internal radius and thickness to meters:
  Internal radius = 27 cm = 0.27 m
  Thickness = 4 cm = 0.04 m
3. Calculate the external radius of the pipe:
  External radius = Internal radius + Thickness
  External radius = 0.27m + 0.04m = 0.31m
4. Let L be the length of the pipe. We can write the volume of the hollow pipe as:
  Volume = π × (External radius² - Internal radius²) × Length
  16.8 m³ = π × (0.31² - 0.27²) × L
5. Solve for L:
  L = 16.8 m³ / [π × (0.31² - 0.27²)]
  L ≈ 55.48 meters
Therefore,  The length of the hollow cylindrical pipe is approximately 55.48 meters.

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Answer:

85*

Step-by-step explanation:

Its  really complicated but manage to find it

The required equation of the line is 6x + y  = 7 which is parallel to line 6x + y = 6 and passes through the point at (2, -5).

The slope of the line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

First, we have to determine the slope of the line 6x + y = 6 by placing it into a slope-intercept form:

6x + y = 6 ⇒ y = -6x + 6

Therefore, the slope of the line is m = - 6

Since the required line passes through the point at (2, -5).

Let the line  (y - y₁) = m(x -x₁  )

Here x₁ = 2, y₁ = -5

Substitute the values in the equation,

So, y - (-5) = -6(x - 2)

⇒ y  + 5 = -6x + 12

⇒ 6x + y  = 7

Hence, the required equation of the line is 6x + y  = 7 which is parallel to line 6x + y = 6 and passes through the point at (2, -5).

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Your current monthly income, before the effect of inflation, is approximately $2,129.63.

To determine your current monthly income, we need to account for the effect of inflation on the purchasing power of your income. Given that the inflation rate is eight percent, we can calculate the original income before the inflation adjustment.

Let's denote your current monthly income as "X."

The purchasing power after accounting for eight percent inflation is $2,300. This means that your original income, before the inflation adjustment, would have had a higher value. We need to find this original income.

Inflation reduces the purchasing power of your income, so we need to increase the current purchasing power by the inflation rate to find the original income. In this case, we'll increase $2,300 by eight percent:

Original Income = $2,300 / (1 + 0.08)

Original Income = $2,300 / 1.08

Original Income ≈ $2,129.63

Therefore, your current monthly income, before the effect of inflation, is approximately $2,129.63.

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The solution is :

To get to system B the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 4. The solution to system B is the same as the solution to system A.

Here, we have,

A system of equations and it’s solution are given below.

System A.

x-y=3

-2x+4y=-2

Solution: (5,2)

Complete the sentences to explain what steps were followed to option the system of equations below.

System B

x-y=3

2x=10

To get to system B the (first/second) equation in system A was replaced by the sum of that equation and the (first/second) equation multiplied by (4....2.....-3) . The solution to system B (is/ is not) the same as the solution to system A.

Solution:

To get system B:

First write the first equation in system A. x - y = 3

Multiply the second equation in system A by 4 and add to the first equation in system A to get:

2x = 10

x = 10/2 = 5

Put x = 5 in x - y = 3

5 - y = 3

y = 5 - 3 =2

The solution to system B is the sam as that of system A

To get to system B the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 4. The solution to system B is the same as the solution to system A.

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The value of the double integral ∬D 8xy dA, over the triangular region D with vertices (0,0), (1,2), and (0,3), is 2.

To calculate this integral, we need to set up the limits of integration for both x and y. Since D is a triangular region, we can express y as a function of x within the given bounds.

The line passing through the points (0,0) and (1,2) can be represented as y = 2x, while the line passing through (0,0) and (0,3) can be expressed as x = 0. Therefore, the limits of integration for y are from 0 to 2x, and for x, they are from 0 to 1.

The integral becomes:

∬D 8xy dA = ∫₀¹ ∫₀²x 8xy dy dx

Integrating with respect to y first, we get:

∫₀²x 8xy dy = 4x²y² | from y = 0 to y = 2x

              = 4x²(2x)² - 4x²(0)²

              = 16x⁵

Now, we integrate with respect to x:

∫₀¹ 16x⁵ dx = (16/6)x⁶ | from x = 0 to x = 1

            = (16/6)(1)⁶ - (16/6)(0)⁶

            = 16/6

            = 8/3

Therefore, the value of the double integral is 8/3, which is approximately 2.6667.

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Answer:

-64.5

Step-by-step explanation:

Between -64 and -66, there are 3 marks.

The difference between -64 and -66 is 2 units.

The mark right in the middle corresponds to -65 which is 1 unit from both -64 and -66.

The dot is right in the middle of -64 and -65, so it corresponds to -64.5.

Answer:

hey i got that same qustiom=n but i ddint know how to do it

Answer:

$58.50

Step-by-step explanation:

30% of 45 is 13.50 and 13.50 plus 45 is 58.50

Answer:

equation A,C and E are true if w=100

If Caroline has 6.8 L of lemonade to serve 20 people. Caroline can pour 340 milliliters of lemonade into each glass.

To find out how many milliliters of lemonade Caroline can pour into each glass, we need to convert the volume of lemonade from liters to milliliters and then divide it equally among the 20 guests.

1 liter is equal to 1000 milliliters. So, Caroline has 6.8 L * 1000 mL/L = 6800 mL of lemonade.

To divide it equally among 20 guests, we divide the total volume of lemonade by the number of guests:

6800 mL / 20 = 340 mL.

Therefore, Caroline can pour 340 milliliters of lemonade into each glass.

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From the diagram we can see:

Therefore, we can conclude that in every step the result is the square of the number of the step. So:

Answer:

36.17

Step-by-step explanation:

Add all and divide by 9

Answer:

m = -1

Step-by-step explanation:

m= -(4+ m) + 2

Distribute

m = -4-m+2

m = -2-m

Add m to each side

m+m = -2-m+m

2m = -2

2m/2 = -2/2

m = -1

Step-by-step explanation:

The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).

Answer:

5.70

Step-by-step explanation:

if u think my answer is correct then pls dont forget to give brainliest.

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To find the height of the bird feeder, we can use the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, r is the radius, and h is the height of the cylinder. In this case, the volume is given as 100 cubic inches, and the radius is 2 inches.

Substituting the known values into the formula, we have:

100 = 3.14 × 2^2 × h

Simplifying the equation:

100 = 3.14 × 4 × h

100 = 12.56h

To solve for h, we divide both sides of the equation by 12.56:

h = 100 / 12.56

h ≈ 7.97

Therefore, the approximate height of the bird feeder is approximately 7.97 inches.

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The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

What is the domain and range?

The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.

The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.

The range of a function refers to the set of all possible output values, or y-values.

To find the domain and range of functions and represent them in different formats.

To find the domain and range of a function:

The domain refers to the set of all possible input values (x-values) for the function.

The range refers to the set of all possible output values (y-values) for the function.

To represent the function as a table, you would list the input-output pairs. For example:

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

To represent the function as a mapping, you would indicate the correspondence between the input and output values.

For example:

-3     ->   -4

-1     ->     2

0     ->     0

-3    ->     5

2     ->     4

To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.

The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.

Hence, The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

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If completion times for a certain marathon race was 3 hours with a standard deviation of 0.5 hours , then At least 75% of the completion times are between 2 hours and 4 hours , the correct answer is (a) .

The Chebyshev's inequality, for any data set and any value k greater than 1, at least 1 - 1/k² of the data values lie within k standard deviations of the mean.

In this case, we can use Chebyshev's inequality with k=2 ,

Using k=2, we have ,

⇒ At least 1 - 1/k² = 1 - 1/2² = 1 - 1/4 = 0.75 = 75% ,

So , at least 75% of the completion time lies between, (μ ± 2σ) ,

Substituting the values of mean (μ) = 3 and σ = 0.5 ,

We get ;

⇒ 3 ± 2×0.5

⇒  3 ± 1

⇒ (2,4)

So, At least 75% of the completion time are between 2 hours and 4 hours

Therefore, the correct answer is (a) At least 75% of the completion times are between 2 hours and 4 hours.

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The given question is incomplete , the complete question is

The completion times for a certain marathon race was 3 hours with a standard deviation of 0.5 hours.

What can you determine about these data by using Chebyshev's Inequality with k=2?

(a) At least 75% of the completion times are between 2 hours and 4 hours

(b) At least 88.9% of the completion times are between 2 hours and 4 hours

(c) At most 88.9% of the completion times are between 2 hours and 4 hours

(d) No more than 75% of the completion times are between 2 hours and 4 hours.

The surface area of the given cylinder trash can is 1,628 in²

The surface area of a cylinder is equal to the area of curved surface plus the area of flat surfaces. The flat surfaces are the base and the lid.

Area of the curved surface = 2 π.r.h

Area of the flat surfaces = 2 π.r²

Hence,

Total surface area of a cylinder = 2 π.r.h + 2 π.r²

                                                 = 2 π.r (h + r)

Where:

h = height

r = radius of the base

Parameters given:

h = 30 in.

r = 7 in.

Substitute these parameters into the formula:

Area = 2. (22/7) . 7. (7 + 30)

        = 1,628 in²

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Answer:

I think it is 82m2

Tried my best

Area Two walls are

= 2 × 5 × 3

= 30 m2

Area of other two walls:

= 2 × 6 × 3

= 48 m2

Total area = 48 + 30 m2

Thus area = \(\red{\bold{\boxed{78 {m}^{2}}}}\)

9514 1404 393

Answer:

  x ∈ (-∞, 9) U (-1, ∞)

Step-by-step explanation:

Get the absolute value by itself. Do that by multiplying by 4.

  |3x +15| > 12

This resolves to two cases:

3x +15 > 12

  x +5 > 4 . . . . divide by 3

  x > -1 . . . . . . .subtract 5

-(3x +15) > 12

  x +5 < -4 . . . . divide by -3

  x < -9 . . . . . . . subtract 5

Then the solution in interval notation is ...

  x ∈ (-∞, 9) U (-1, ∞)

Answer:

  C

Step-by-step explanation:

The area of a square is the square of the side length. When the side length x=2.5 cm, the area is the square of that value.

__

  A(x) = x²

  A(2.5 cm) = (2.5 cm)² = 6.25 cm²
_____

Additional comment

The "square" of a variable is that variable to the second power. The terms 2x or 4x are linear terms with the variable to the first power, do not represent the area of a square.

The equation A(x) = 4x² introduces a multiplier of 4 that is not applicable to the area of a square based on side length. (The formula might be useful if x represents the distance from one side to the center of the square, the radius of an inscribed circle, for example.)

The combined gas law for a gas is discussed below.

Given is the combined gas law.

The ideal combined gas law is given by →

PV = nRT

Where -

{P} = pressure     {T} = temperature     {V} = volume    

{n} = number of moles   {R} = gas constant

Non ideal gases are often modelled by the Van der Waals equation as →

(p + n²a/V²)(V - nb) = nRT

Where -

{a} and {b} = constants for a particular gas

{p} = pressure       {v} = volume    

{n} = number of moles       {t} = temperature  

{R} = gas constant

Therefore, the combined gas law for a gas is discussed above.

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The quantity 2.67 × 10³ m/s has three significant figures because the digits 2, 6, and 7 are all significant, and the exponent 3, which represents the power of 10, is not considered a significant figure.

Scientists use significant figures to indicate the level of accuracy and precision of a measurement. The significant figures are the reliable digits that are known with certainty, plus one uncertain digit that has been estimated or measured with some degree of uncertainty. In determining the significant figures of a number, the following rules are applied: All non-zero digits are significant.

For example, the number 345 has three significant figures. Zeroes that are in between two significant figures are significant. For example, the number 5004 has four significant figures. Zeroes that are at the beginning of a number are not significant. For example, the number 0.0034 has two significant figures. Zeroes that are at the end of a number and to the right of a decimal point are significant. For example, the number 10.00 has four significant figures.

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