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Using the z-distribution for the margin of error, it is found that 355 samples should be taken.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which  z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The estimate is of 18%, hence [tex]\pi = 0.18[/tex].

95% confidence, hence [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].  

The minimum sample size is n for which M = 0.04, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.18(0.82)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.18(0.82)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.18(0.82)}}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.18(0.82)}}{0.04}\right)^2[/tex]

[tex]n = 354.4[/tex]

Rounding up, 355 samples should be taken.

A similar problem is given at https://brainly.com/question/14936818

Answer:

Yes, because (-1,2) is a solution to both inequalities

Step-by-step explanation:

2>-1 so the first inequality is correct

-1+2>0 so the second inequality is correct

Answer:

10

Step-by-step explanation:

There are two 1/8 in one 1/4. There are eight 1/8 in 1. 8/8 + 1/8 + 1/8 = ten 1/8.

Answer:

what to do here I don't know sorry

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Answer:

  4 m

Step-by-step explanation:

The area of a circle is given in terms of diameter by ...

  A = (π/4)d²

Then the diameter in terms of area is ...

  d = √(4A/π)

For the given area, the diameter is ...

  d = √(4·4π/π) = 4 . . . meters

The diameter of the circle is 4 meters.

Answer:

[tex]cp = p + sp \\ \\ cp = 2 + 20 \\ \\ cp = 22[/tex]

[tex]solution[/tex]

[tex] \sqrt{72} [/tex]

Factor the expression

[tex] \sqrt{6 }^{2} \times 2[/tex]

Use the properties of radicals

[tex] \sqrt{6 {}^{2} } \sqrt{2} [/tex]

simplify the root

[tex]answer[/tex]

[tex]6 \sqrt{2} [/tex]

Answer:

the answer is -8.5

you should use m.a.t.h.w.a.y it is very helpful with math and brainly would not let me say the name the correct way so I had to put periods but anyways have a good day or night

︎

Answer:

x = 8, y = 89/9

Step-by-step explanation:

Because of parallel lines, some angles are the same, see the attached image. That also means that (12x-28) + (9y-77) = 180 because they are half of an angle. So:

(12x-28) + (9y-77) = 180 ->

12x + 9y = 185.

Then,

(7x+12) = (12x-28) ->

x = 8.

We can plug that into the last equation:

12(8) + 9y = 185 ->

y = 89/9

:)

Answer:

Which statement represents the expression?

24−8÷4

A. 24 minus 8 divided by 4

B. the difference of 24 and 8 divided by 4

C. 24 minus the quotient of 8 divided by 4

D. 24 minus 4 divided by 8

The answer is a. 24 minus 8 divided by 4

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[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]

Answer:

then z is a factor of x??? huh??

Answer:

A' 2,2

B' 3, -1

C' -1,0

Step-by-step explanation:

Because you're translating it by -2, 3, you're basically subtracting 2 from the x value and adding 3 to the y value.

A = 4, -1

A' = 2, 2

B = 5, -4

B' = 3, -1

C = 1, -3

C' = -1, 0

Answer:

price = $190

quantity =  950 tickets

Step-by-step explanation:

revenue = price * quantity

n = number of $10 price reductions

price = 300 - 10n

quantity =  400 + 50n

r = (300 - 10n)(400 + 50n)

recognize these as the factors of a quadratic that opens down

the vertex will therefor be the maximum revenue

the roots are:

300 - 10n = 0

300 = 10n

n = 30

400 + 50n = 0

50n = -400

n = -8

vertex is at mid point of the roots

n = (-8 + 30)/2

n = 11

price = 300 - 10n

price = 300 - 10(11)

price = 190

quantity =  400 + 50n

quantity =  400 + 50(11)

quantity =  950

An asset is an item from which economic benefits flow unto an entity (a person or company in control of it). It can be in monetary terms or non-monetary terms. Thus, we can conclude from the question that:

1. A box file - It is an asset.

2. A computer - It is an asset.

3. A plastic display stand - It is not an asset.

An asset is that which ensure a continuous flow of economic benefits to an entity in possession (i.e control) of it. It can either be non-current or current.

A non-current asset is that which would be in the control of the entity for more than one accounting period (i.e a year). Examples are properties, Plants and equipment etc. While the current asset are those that the economic benefits derived from them would be lost after one accounting period (i.e a year). Examples are: purchased goodwill, intangible assets etc.

The items given in the question can be categorized as follows:

1. A box file - It is an asset. Since the entity will continue to use the box for more than a year.

2. A computer - It is an asset. The computer would be used for more than one accounting period.

3. A plastic display stand - It is not an asset. The plastic stand has a high probability of getting damaged even before the end of the accounting period.

Visit: https://brainly.com/question/19440080

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The Correct choice is ~

[tex]\begin{array}{ccll} Juice&OJ\\ \cline{1-2} \frac{2}{3}&\frac{1}{3}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{~~\frac{1}{3} ~~}{1}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{1}{3}\implies \cfrac{~~ \frac{2}{3}~~}{\frac{x}{1}}=\cfrac{1}{3} \\\\\\ \cfrac{2}{3x}=\cfrac{1}{3}\implies 6=3x\implies \cfrac{6}{3}=x\implies 2=x[/tex]

Answer:

$450+$50= X

X=$500

Step-by-step explanation:

The sale price is $450.00, so you take that amount and $50.00 which the amount he paid less and add them both. We do this because we want to see the original price of the computer. If it mentioned the original price already and the amount $50.00 and asked the sail price instead, we would have to subtract to get the answer.

Here we have to add.

450+50=500

(add the dollar sign)

$450+$50=X

X=$500

Answer: In particular, let’s focus our attention on the behavior of each graph at and around . 2 and x= -1 for x < 2. There are open circles at both endpoints (2, 1) and (-2, 1). The third is h (x) = 1 / (x-2)^2, in which the function curves asymptotically towards y=0 and x=2 in quadrants one and two."

Step-by-step explanation: I think this is the problem ur on

The given relation → If a = b and b = c, then a = c is called transitive law and it holds true for all real numbers.

An equation is a statement that the depicts the values of two mathematical expressions as equal using an (=) sign. Example -

2x = 5

An expression is written using individual terms (either constant or variable) separated by mathematical operations. Example -

3x + 5y + 3

We have -

If a = b and b = c, then a = c.

The given relation holds true for all real numbers. This law is called transitive law. So, if A=5 for example, then B and C must both also be 5 by the transitive property

Therefore, the given relation → If a = b and b = c, then a = c is called transitive law and it holds true for all real numbers.

To solve more questions on equations and expressions, visit the link below-

brainly.com/question/18067015

#SPJ2

Answer:

put one point b the negative -1 and another point by the 2 going long ways ------

Step-by-step explanation:

Answer: the answer is d hope this helps if not i'm sorry

The two numbers are 1 and 1.

Let the non-negative number be x and its reciprocal be y = 1/x

The sum of the two numbers is f(x,y) = x + y

= x + 1/x

= f(x)

For f(x) to be minimum, we differentiate it with respect to x and equate it to zero to find the value of x at which irt is minimum.

So, df(x)/dx = d(x + 1/x)/dx

= dx/dx + d(1/x)/dx

= 1 - 1/x²

Equating it to zero, we have

1 - 1/x² = 0

1 = 1/x²

x² = 1

Taking square-root of both sides, we have

x = ±√1

x = ±1

Since x is non-negative x = + 1

We differentiate f(x) again to determine if this value gives a minimum for f(x).

So, d²f(x)/dx² = d(1 - 1/x²)/dx

= d1/dx - d(1/x²)/dx

= 0 - × (-2/x³)

= 2/x³

Substituting x = 1 into the equation,

d²f(x)/dx² = 2/x³

= 2/1³

= 2 > 0.

So x = 1 is a minimum point for f(x)

Since x = 1 and y = 1/x, y = 1/1 = 1

So, the two numbers are 1 and 1.

Learn more about sum of two numbers here:

https://brainly.com/question/13854139

Answer:

250 raspberries

Step-by-step explanation:

So if 100 raspberries weigh 40 grams, each raspberry weighs 40/100 grams, which is 4/10 of a gram. so, you need to do 100/ 4/10=250

Answer:

I have a couple questions before I answer, what do the 2 dashes represent and are the 4s also under the square root?

Answer:

Not a function

Step-by-step explanation:

The element which should be used to help clarify a complicated idea in a text is ; A research question.

According to the question;

A research question is the best fit which should be used to help clarify a complicated idea in a text.

This is so because; a research question provides a basis for accessing all perspectives there is to the complicated idea.

Read more:

brainly.com/question/18675306

Answer:

D

Step-by-step explanation:

how is this math? 0-0

[tex]\stackrel{\textit{something added to it}}{\boxed{\cfrac{}{} \qquad }+\cfrac{2}{7}}\implies \stackrel{\textit{will be greater than }\frac{2}{7}}{\cfrac{2}{7}+\textit{that something}}[/tex]

Answer:

The answer is <-2

Step-by-step explanation:

Answer: I'm late but here you go

Step-by-step explanation: