A report states that of home owners have a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 6 percentage points with confidence

Answers

Answer 1

To estimate the true proportion of home owners who have vegetable gardens to within 6 percentage points with confidence, a sample size of 384 would be needed.

How big of a sample is required to confidently estimate the true percentage of homeowners having vegetable gardens to within 6 percentage points?This can be calculated using a sample size calculator and the given margin of error and desired confidence level.The size of the sample needed can be calculated using the formula n = (z2 * p * (1-p)) / e2, where n is the size of the sample, z is the z-score associated with the desired confidence level (1.96 for 95% confidence), p is the estimated proportion of home owners having a vegetable garden, and e is the margin of error (6 percentage points).Assuming a conservative estimate of p = 0.50, the sample size needed to estimate the true proportion of home owners having a vegetable garden to within 6 percentage points with 95% confidence is:n = (1.962 * 0.50 * 0.50) / (0.06)2 = 384.9 ≈ 385Therefore, a sample size of 385 home owners is needed to estimate the true proportion of home owners having a vegetable garden to within 6 percentage points with 95% confidence.The equation is: n = (z_alpha/2)^2 * (p*(1-p)) / e^2 Where n is the sample size, z_alpha/2 is the z-score for the desired confidence level (e.g., z = 1.96 for a 95% confidence level), p is the estimated population proportion, and e is the margin of error. For this example, we can assume a 95% confidence level (z = 1.96), a population size of N = 100,000, and a margin of error of 6 percentage points (e = 0.06). Plugging these values into the sample size equation, the required sample size is n = (1.96/2)^2 * (0.5*(1-0.5)) / 0.06^2 This gives us a sample size of n = 384.

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Related Questions


Pentagon CDEFG is translated 7 units up and 5 units left, resulting in pentagon C'D'E'F'G' (not shown).
Correctly complete the sentence.
The perimeter of pentagon CDEFG is____________
the perimeter of pentagon C'D'E'F'G'

Answers

If the pentagon is translated 7 units up and 5 units left, it is still the same size, it's just in a different position. The attached picture shows shows a translation in which the shape moves, but remains the same size. (I couldn't find one with a pentagon)

Because they are the same size, C'D'E'F'G' has the same perimeter as CDEFG.

I think it's "the same" or "equal to." I didn't define a specific answer because I'm not sure if they gave you any options, but the pentagons are the same size.

In the 2-man bobsled competiton in the olympics, the gold medalists were about 0.2 seconds faster than the silver medalists, and the silver medalists were about 0.14 seconds faster than the bronze medalists. Which gap in time was larger? By how much?

Answers

The difference in timing was greater since the silver medalists finished around 0.14 seconds ahead of the bronze medalists.

what is unitary method ?

The unit technique is a strategy for addressing issues that entails first figuring out the value of a specific unit, then dividing that value to figure out the needed value. Simply put, the unit method is employed to derive a single system value from a multiple that is supplied. For example, 40 pens might cost 400 rupees, which is equal to the cost of one pen. This procedure could follow a regular procedure. a single nation. anything has a distinct identity. Its adjoint and reciprocal are equal in terms of mathematics, algebra, linear algebra, computational equations, or algebra of matrices or operators.

given

time separation of gold medalists by silver medalists is equal to 0.14 minus 0.2, or 0.11.

The difference in timing was greater since the silver medalists finished around 0.14 seconds ahead of the bronze medalists.

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Eli sells refrigerators. His base salary is $250 per week, and his commission is $50 for each refrigerator (r) that he sells. He needs to make more than $900 this week. Which TWO statements are correct for this situation?

A) $50r + $250 < $900
B) $50r ≥ $900
C) $50r + $250 > $900
D) Eli needs to sell more than 13 refrigerators.
E) Eli needs to sell more than 15 refrigerators.

Answers

Answer:

C and e

Step-by-step explanation:

the 50r represents the commision he receives for each refrigerator he sells, and the 250 is the base salary and it’s bigger than, >, because he needs to earn MORE than 900 and you get D by solving the inequality,  50r >900, r>15

would be amazing if you marked this brainliest :)

Answer: the other guy is wrong it is c an d

Step-by-step explanation:

Set builder notation integers between 7 and 50

Answers

Answer:

[tex]\{x|x\in \mathbb{Z}, 7 < x < 50\}[/tex]

Step-by-step explanation:

Basically, the above answer tells us that the set of all x such that x belongs to Z, the set of integers, and x is between 7 and 50.

What is the solution to 3 4?

Answers

The solution of the fraction 3/4 is 0.75

The term fraction is defined as represent the parts of a whole or collection of objects

Here we have given the fraction 3/4.

Now, we have to do the following steps in order to find the decimal equivalent for the fraction.

First of all we just need to divide the numerator by the denominator.

Then we get the fraction is 3/4 which means we need to divide: 3 ÷ 4.

The division process is illustrated on the following image.

Then the decimal equivalent to the fraction written as 3/4 is expressed as 0.75 in the decimal form.

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Find the sum of the interior angles of a nonagon.

A. 140°

B. 1,620°

C. 1,260°

D. 1,450°

Answers

The sum of the interior angles of a nonagon (a 9-sided polygon) is 1,450°.

1. The interior angles of a polygon can be calculated by subtracting 2 from the number of sides, then multiplying the result by 180°.

2. For a nonagon (a 9-sided polygon), the calculation is

(9-2) × 180° = 1,450°.

The sum of the interior angles of any polygon can be calculated using the formula

(n-2) × 180°,

where n is the number of sides of the polygon. This formula works because the sum of the interior angles of any polygon is always equal to (n-2) times the measure of a single interior angle. For a nonagon, a 9-sided polygon, the calculation is

(9-2) × 180° = 1,450°.

This means that the sum of the interior angles of a nonagon is 1,450°.

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PLEASE HELP PICTURE ATTACHED

Given the diagram below, which statement is true?
A. /1 and /2 are vertical angles and supplementary.
B. /2 and /3 are complementary angles and congruent.
C. /1 and /3 are vertical angles and congruent.
D. /2 and /4 are supplementary angles and congruent.

Answers

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

Triangle definition

Any three points in a plane can be connected to create triangles, which have three sides and three angles. They were one of the very first geometric shapes to be studied. They are particularly important because any polygon, whether it has four, five, six, or n sides, may be split into a triangle.

Here,

Because angles 1 and 2 are close to one another, they are neighboring angles.

A They share a side and are near to each other, making them neighboring angles.

B. The angles are complimentary (add to 90 degrees) False—Angle 2 has a 90 degree angle.

C. They are additional angles. (add to 180) They do not create a straight line, which is untrue.

D. Vertical angles describe them. (Contrary angles) False, they are not created through the intersection of lines.

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

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Is 6 A positive number?

Answers

Yes, 6 is an positive number.

Now, According to the question:

What Is A Positive Number?

A positive number is any number that represents more than zero of anything. If you are talking about dollars in your bank account, a positive number will definitely make you feel positive too.

1, 2, 3, 4, 5, 6, 7, ........ are positive integers and -1, -2, -3, -4, -5, -6, -7, ........ are negative integers. 0 is an integer which is neither positive nor negative. On an integer number line, all numbers to the right of 0 are positive integers and all numbers to the left of 0 are negative integers.

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How do parallel algorithms differ from sequential?

Answers

The capacity to complete complex tasks quickly enough to make them useful is the main benefit of choosing a parallel method over a sequential one.

Differences between Sequential and Parallel Computing

Sequential Computing: One instruction is delivered at a specific time, and the subsequent instruction must wait for the first instruction to complete before it can be executed. This is known as sequential computing. Because all the instructions are carried out in order, it is often referred to as a conventional computing technique. It has a single CPU that performs poorly and has a heavy workload. The biggest drawback of employing this computing is that it requires more time because just one instruction is being processed at a time.

Parallel Computing: A computing method known as parallel computing involves running numerous calculations or processes simultaneously in parallel. Parallel computing is a kind of computing in which multiple processes can run at once.

Due to the simultaneous execution of the operations, time is saved. It resolves more complex issues. There are many processors with high performance and little work being put on each of them.

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what is 4-3x=-17 workout?

Answers

Answer:

x = 7

Step-by-step explanation:

first subtract 4 from both sides

-3x = -21

divide both sides by negative 3

x = 7

The answer is 7 I believe

i need serious help pls

Answers

Answer:

A.

Step-by-step explanation:

20/12 times 3.

y^2=1/5(x-4), (24,2)

Answers

you end up getting 4 = 4
sub in the x and y values
x = 24 and y = 2

Please help me literally need this to be answered in 2 hours P-L-E-A-S-E !!

Answers

Answer:

Yeah with that type of problem

Step-by-step explanation:

You aint getting answered for the next 4 hours <3

Which of the following best describes the figure with vertices (1, -4), (-2, 1), (3, 4) and (5, 2)?
Answer fast pls
Square

Parallelogram

Quadrilateral

Rectangle
Answer choices

Answers

The best description of the figure with the vertices given is, C. Quadrilateral

How to find the figure ?

The figure given is a Quadrilateral firstly because it has 4 vertices and therefore 4 points. A Quadrilateral has four points as well which means this figure is a Quadrilateral.

The figure is not a Parallelogram because no two values of y are the same. A Parallelogram would have two points that have the same y value as there would be parallel lines involved.

To find out if the shape is a rectangle or square, find the lengths of the vertices using a distance calculator.

The length of (1, -4), and  (-2, 1) is:

=  5.83 units

The length of (-2, 1), and   (3, 4) is:

= 5.83 units

The length of (5, 2) and  (3, 4) is:

= 2.82 units

The length of (5, 2) and  (1, -4 ) is:

= 7.21 units

The shape is neither a square nor a rectangle so it is a quadrilateral.

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Professor Curie is using the radioactive isotope Francium-223 in her research. This

isotope has a half-life of 22 minutes, which means that every 22 minutes the sample has

half the radioactivity it did in the previous interval. If Professor Curie has 15 grams of

Francium-223, which explicit formula describes how the isotope decays?

Answers

This formula describes how the amount of Francium-223 (N(t)) decays over time (t). The initial amount of Francium-223 is 15 grams, and each 22 minutes the amount is halved.

Step 1: Start with the formula

N(t) = 15 * (1/2)^(t/22).

Step 2: Substitute the value for N(t). For example, if you want to find the amount of Francium-223 after 44 minutes,

N(44) = 15 * (1/2)^(44/22).

Step 3: Calculate the fraction (1/2)^(44/22). This is equal to (1/2)^2, or 1/4.

Step 4: Multiply the initial amount of Francium-223 (15) by the fraction (1/4). The result is

15 * (1/4) = 3.75 grams.

The formula N(t) = 15 * (1/2)^(t/22) describes how the amount of Francium-223 (N(t)) decays over time (t). The initial amount of Francium-223 is 15 grams, and each 22 minutes the amount is halved. To calculate the amount of Francium-223 after a certain time, substitute the value for N(t). Then calculate the fraction (1/2)^(t/22) and multiply it by the initial amount of Francium-223 (15). The result is the amount of Francium-223 after the specified time. For example, after 44 minutes, the amount of Francium-223 is 15 * (1/4) = 3.75 grams.

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If x = 9 units, y = 12 units, and z = 7 units, then what is the volume of the right rectangular pyramid shown above?

Answers

Answer:

"252 units³" is the appropriate solution.

Step-by-step explanation:

The given values are:

Length,

x = 9 units

width,

y = 12 units

height,

z = 7 units

As we know,

The volume of rectangular pyramid will be:

⇒  [tex]Volume=\frac{1}{3}(length\times width\times height)[/tex]

On substituting the values, we get

⇒                [tex]=\frac{1}{3}\times 9\times 12\times 7[/tex]

⇒                [tex]=3\times 85[/tex]

⇒                [tex]=252 \ units^3[/tex]

Same thing as last time???????

Answers

Answer:

84in^2

Step-by-step explanation:

area = l*w

12*7=84

Find the length of the missing side. If the side length is irrational, round to the nearest tenth. ​

Answers

Answer: 17m

Step-by-step explanation: Because if you look on the right side of the triangle you can clearly see that the bottom of the triangle is exactly alike the right side. hope this is correct

Step-by-step explanation:

let the missing be x

=>=18²m+17²m

=>=324m²+289m²=613m

=>x=613m

Select the correct answer.
Which of these graphs represents a function?
NIL
MU
2
3
4
5
-5-4-3-2-4
2 3 4 5
-5-4-3-2-11
-2
GYPT
W.
X.
y
HT
um et
X
-5-4-3-2-11245
N
.
JS
ANS
Y.
Z.
OA W
OB. X
OCY
OD. Z

Answers

Answer:

its b

Step-by-step explanation:

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP


Answers

i’m pretty sure it’s C

EASY MATH!!! GIVING BRAINLIEST

Answers

Answer:

it might be 30. If you lose half every 90 days, You lose half of 120, which is 60. another 45 days would make it half again, equaling 30

Answer: 30

Step-by-step explanation:

Two sides of an isosceles triangle are 12.5 cm each wow the third side is 20 cm what is the area of the triangle

Answers

The area of the isosceles triangle having two sides 12.5 cm and another 20cm is 75cm².

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know that an isosceles triangle has two sides having the same length and the third one is different.

We also know that the area of an isosceles triangle is (1/2)×b×√(a² - b²/4),

where b is the value of the third side and a is the value of two similar sides.

Therefore, The area of the isosceles triangle having side lengths of two similar sides is 12.5 cm and the third side is 20 cm is,

= (1/2)×20×√((12.5)²- (20)²/4) cm²,

= 10×√(156.25 - 100) cm².

= 10×√(56.25) cm².

= 10×7.5 cm².

= 75 cm².

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Match the partition type to its description.
1 . Logical partition A partition with an extended partition 2 . System partition The partition where you place the boot loader 3 . Primary partition The section of the hard drive that will become the bootable drive

Answers

Logical partition - A partition within an extended partition

System partition - The partition where you place the boot loader

Primary partition - The section of the hard drive that will become the bootable drive

IBM and Microsoft initially kept internal lists of designated partition types to be used in the MBR partition table. As the market for PC operating systems and disc tools expanded and became more open, other suppliers also needed to give their products specialised partition kinds. Third parties began to merely allocate partition types on their own behalf in a largely uncoordinated trial-and-error fashion because Microsoft neither documented all of the partition types already given by them nor wished to retain foreign assignments. This resulted in several conflicting assignments, which occasionally caused serious compatibility issues between certain products. [1]

In the 1990s, a number of industry professionals including Hale Landis, Ralf D. Brown, Matthias R. Paul, and Andries E. Brouwer began investigating partition kinds.

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What is the value of cos x
Answer fastttttt

Answers

Answer:

cos x = 30/34 or 15/17

Step-by-step explanation:

SOH CAH TOA

side a is 30 (adjacent)

side h is 34 (hypotenuse)

cos= a/h

evaluate the numerical expression

5^2/5^3

Answers

Answer:

The answer is 5⁻¹ or 1/5

Step-by-step explanation:

5²/5³

Here, we know that the base is the same i.e., 5 so, will use the property;

xᵐ ÷ xⁿ = xᵐ⁻ⁿ

5² ÷ 5³

5² ⁻ ³ = 5⁻¹ = 1/5

Thus, The answer is 5⁻¹ or 1/5

Shaheen ha many triangular piece, each of area 1 q. Unit and many rectangular piece, each of area 2 q. Unit

Answers

If Shaheen has many triangular piece, each of area 1 sq. Unit and many rectangular piece, each of area 2 sq. Unit  she arranges these to form the given shape then the area of shape is 14 Square Units .

The Area of one triangular piece is given as = 1 Sq . Unit ;

The Area of one rectangular piece is = 2 Sq. Unit ;

From the shape given below ,

we can see that the shape has 4 triangular pieces and 5 rectangular pieces .

So , total area of given shape is ⇒[tex]4\times Area Of Triangle + 5\times Area Of Rectangle ;\\[/tex]

Substituting the values of Area ,

we get ;

[tex]Total Area = 4\times 1 +5\times 2[/tex]

= [tex]4+10[/tex]

= 14 Sq . Units .

Therefore , the area of the given shape is 14 Sq. Units .

The given question is incomplete , the complete question is

Shaheen has many triangular piece, each of area 1 sq. Unit and many rectangular piece, each of area 2 sq. Unit .

If she arranges these to form a shape as shown below, what would be the area of this shape ?

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Match the following factored-form quadratics with their equivalent standard form

Answers

The factored quadratic functions with their equivalent standard form are given as follows:

1. e -> x² - 3x - 10 = (x - 5)(x + 2)

2. a -> x² + 7x - 10 = (x + 5)(x + 2).

3. c -> x² - 7x + 10 = (x - 5)(x - 2).

4. d -> x² - 2x - 63 = (x - 9)(x + 7)

5. f -> x² + 2x - 63 = (x + 9)(x - 7).

6. b -> x² + 16x + 63 = (x + 7)(x + 9).

How to factor a quadratic function?

A quadratic function is defined as follows:

y = ax² + bx + c.

A quadratic function can be factored as a function of it's roots x* and x**, as follows:

y = a(x - x*)(x - x**).

For item a, the function is given as follows:

y = x² + 7x + 10.

The coefficients are given as follows:

a = 1, b = 7, c = +10.

The discriminant is of:

D = 7² - 4(1)(10)

D = 49 - 40

D = 9.

Hence the first root is of:

x = (-7 - square root of 9)/2

x = -5.

The second root is of:

x = (-7 + square root of 9)/2

x = -2.

Meaning that the factored expression is given as follows:

y = (x + 5)(x - 2).

Matched with the second expression of column A.

The same procedure is followed for the remaining quadratic functions.

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Prove that :

Question 1 :
[tex]sec^2 \theta +cosec^2\theta = (tan \theta +cot \theta )^2[/tex]

Question 2 :
[tex]\frac{1-tan^2\theta}{1+tan^2\theta} =(cos +sin \theta)(cos \theta -sin \theta)[/tex]

Question 3 :
[tex]\frac{sin \theta}{1-cot \theta}+\frac{cos \theta}{1-tan \theta} =cos \theta +sin \theta[/tex]

Answers

Answer:

Question 1sec²θ + cosec²θ = 1/cos²θ + 1/sin²θ = (sin²θ + cos²θ)/(sin²θcos²θ) = 1 / (sin²θcos²θ) = [(sin²θ + cos²θ)/sinθcosθ]² =(sinθ/cosθ + cosθ/sinθ)² = (tanθ + cotθ)²Question 2(1 - tan²θ) / (1 + tan²θ) = (1 - sin²θ/cos²θ) / (1 + sin²θ/cos²θ) = (cos²θ - sin²θ) / (cos²θ + sin²θ) = (cosθ + sinθ)(cosθ - sinθ) / 1 = (cosθ + sinθ)(cosθ - sinθ) Question 3sinθ/ (1 - cotθ) + cosθ / (1 - tanθ) = sinθ / (1 - cosθ/sinθ) + cosθ / (1 - sinθ/cosθ) = sinθ/ [(sinθ - cosθ) / sinθ] + cosθ / [(cosθ - sinθ)/cosθ] =sin²θ/ (sinθ - cosθ) + cos²θ/(cosθ - sinθ) = sin²θ/ (sinθ - cosθ) - cos²θ/(sinθ - cosθ) =(sin²θ - cos²θ) / (sinθ - cosθ) = (sinθ + cosθ)(sinθ - cosθ) / (sinθ - cosθ) = sinθ + cosθ

Please find attached herewith the solutions of your questions.

Hope it helps.

You spin the spinner once what is p (even)

Answers

Answer:

???

Step-by-step explanation:

inadequate info a pic is needed :)

Answer:

50%

Step-by-step explanation:

real answer

what is the vertex and y-intercept of y=-(x+3)^2+4

vertex: (−3, −4); y-intercept: 13


vertex: (3, −4); y-intercept: −9


vertex: (3, 4); y-intercept: −5


vertex: (−3, 4); y-intercept: −5

Answers

Answer:

Vertex → (x, y) = (− 3, − 4)

x intercepts → (x, y) = (−5, 0) and (−1, 0)

y intercept → (x, y) = (0, 5)

Step-by-step explanation:

Set y = 0 = ( x + 3)^2 − 4

Add 4 to both sides

4 = (x + 3)^2

Square root both sides

± 2 = x + 3

Subtract 3 from both sides

x = − 3 ± 2

x intercepts → (x, y) = (− 5, 0)

and

(− 1, 0)

You may if you so choose determine the vertex from this point

x vertex is midway between the x intercepts then by substitution determine y. The method I used later takes less work.

Given

y (x + 3)^2 − 4

x vertex = (-1) ×(+ 3) = − 3

y vertex = − 4

Vertex → (x, y) = (− 3, − 4)

y intercept = + 3^2 − 4 = 5

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