3/4 x 2 5/8 ÷ 2 + 10/12

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:

I believe it's a relation

Answewant to be allies?

Step-by-step explanation: lol

Answer:

12

Step-by-step explanation:

there are 12 3/4 on 11/4

Answer: 27 see my work

Step-by-step explanation:

1. We know that 30% are carrots, meaning that 70% are not carrots (30% + 70% = 100%)

2. Since 70% and 63 of the plants are not carrots, we know that 63 = 70%

3. We need to find 30% of the plants (all of the carrots) so let’s divide 63 by 7

63 = 70%

*divide both by 7*

9 = 10%

4. We know that 9 plants is equivalent to 10% of the plants, so let’s multiply by 3 to get the number of carrots

9 = 10%

*multiply by 3*

27 = 30%

There are 27 carrots

Answer:

See below

Step-by-step explanation:

The given modifier solves this without further update.

See attached table

Answer:

5

Step-by-step explanation:

By question,

=> y = kx

When y = 16 , x = 8

=> 16 = x(8)

=> x = 2

When y = 10 ,

=> 10 = 2x

=> x = 5

Answer:

5

it is the correct answer

182.00 miles per hour

y = 182x will be the equation to represent one way you can find how many miles Emily's plane flew each hour.

A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.

The information that is provided is

the air travel time is 12 hours

The destination miles will include  2,184 miles​

Assuming the values of x and y

x = number of hours n

y = distance covered

The equation that will be made will be:

y = (2184 / 12)x

y = 182x

Therefore, the equation will be y = 182x.

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Answer:

C is correct

Step-by-step explanation:

The x and y axes are linear, the plot is linear. The constant rate of change is assured with those conditions.

Answer:

y = 155

Step-by-step explanation:

6x + 1 = 2x + 17

x = 4

2 · 4 + 17 + y = 180

y = 155

I hope that this helps!!

Answer:

It's the last one!

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

-5/3 + 2 1/3 =

= 2 1/3 - 5/3

= 2 1/3 - 1 2/3

= 1 4/3 - 1 2/3

= 2/3

Answer:

2/3

Step-by-step explanation:

First, change 2 1/3 into an improper fraction.

2 1/3 --> 7/3

Substitute that value back into the equation

-5/3 + 7/3

At this point, you can rewrite the equation into:

7/3 - 5/3

Since they have the same denominator, just subtract the numerator's values.

2/3

Answer:

x = 1/5 - first box

Step-by-step explanation:

Let's interpret this by using what I call the "isolated-x method."

First, we can simplify whatever's being affected in the parentheses.

#1: 3 times (2x) is equal to 6x

#2: 3 times (- 1 | equal to -1) results in -3, or + -3

So now we're working with 6x - 3 = -9x.

Now, we'll add a positive 9x to the -9x, since it can be hugely helpful to have one side result in 0.

Now we're working with 15x (6x + our new 9x) - 3 = 0

Since we have "whole like terms" we can now easily add 3 to each side.

Now we're working with 15x = 3 (0 + our new 3)

We can finish by dividing each side by 3.

15x = 3 now turns into 5x = 1.

To get from 5 to 1 you can multiply 5 by its "multiplicative inverse," also known as 1/5.

Therefore, x = 1/5

Hopefully this helped a bunch! Tell me if you need any further assistance...

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Answer:

Move each vertex 6 to the right, and 2 to the bottom, rest of the triangle will come automatically. It should look similar to the one I drew.

After translation vertices of triangle ABC are (0, 3), (7, 3) and (6, -2).

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

The given vector is (6, -2).

From the given triangle vertices are (-6, 1), (1, 1) and (0, -4)

From the given vector, it shows 6 units right shift and 2 unit down shift.

Here, vertices of image are

(-6, 1)→(-6+6, 1-(-2))→(0, 3)

(1, 1)→(1+6, 1-(-2))→(7, 3)

(0, -4)→(0+6, -4-(-2))→(6, -2)

Hence, after translation vertices of triangle ABC are (0, 3), (7, 3) and (6, -2).

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Answer:

y = 8x/93

Step-by-step explanation:

To get the find the inverse function, swap x and y and solve the equation for x.

Hello!

-5(x+2)=35

-5x-10=35

-5x=35+10

-5x=45

x=-9

Hope it helps!

~Just a determined gal

#CarryOnGainingKnowledge

[tex]MysteriousNature[/tex]

Answer:

x = -9

Step-by-step explanation:

-5(x + 2) = 35

~Distribute

(-5 * x) + (-5 * 2) = 35

~Simplify

-5x - 10 = 35

~Add 10 to both sides

-5x = 45

~Divide -5 to both sides

x = -9

Best of Luck!

Answer:

See below for answer.

Step-by-step explanation:

∠1 and ∠2 are supplementary               Given

∠1 + ∠2 = 180°                                         Definition of supplementary angles  

∠3 and ∠2 are supplementary               Given

∠3 + ∠2 = 180                                         Definition of supplementary angles  

∠1 + ∠2 = ∠3 + ∠2                                  Substitution

∠1 = ∠3                                                    Substracting ∠2 from both sides    

Answer:

Pasend pic

Step-by-step explanation:

Answer:

Given 3:5 = 3+5=10,

400*3/8=150,

400*5/8=250.

Answer:

-2x-10

Step-by-step explanation:

You have to use the distributive property to solve this problem. You multiply the things inside the parenthesis by -2. -2x+-2x5 = -2x+(-10) = -2x-10

Take the unknown number as 'y'.

=》33% = 33/100

=》1.45 = 145/100

33/100 × y = 1.45

33/100 × y = 145/100

33y = 145/100 × 100/1

33y = 145

y = 145/33

y = 4.39

______

RainbowSalt2222 ☔

4,39

I'm sorry if I'm wrong

The total assets of Monroe Entertainment Co. are $8,000. Option D is correct.

Taking the sum of the given assets to get the total asset.

Total assets =  account receivables + Land + Cash

Total assets = $ 1,800 + $3,000 + $ 3,200

Total assets = $8,000

Hence the total assets of Monroe Entertainment Co. are $8,000

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9514 1404 393

Answer:

Step-by-step explanation:

Let x and y represent the hotel charges in the two cities. The relations we are given are ...

  x - y = -1500 . . . . . . second city hotel charge was 1500 more

  0.03x +0.095y = 580 . . . . . total tax paid was 580

Using the first equation, we can write an expression for x:

  x = y -1500

Substituting that into the second equation gives ...

  0.03(y -1500) +0.095y = 580

  0.125y = 625 . . . . . . . add 45 to both sides and simplify

  y = 5000 . . . . . . . . . . multiply by 8

  x = 5000 -1500 = 3500

The hotel charges were ...

  First city: $3500

  Second city: $5000

Answer:

Whats the question?

Step-by-step explanation:

Answer:

1,680

Step-by-step explanation

6 slices each 280 calories, 280 x 6 = 1,680

Answer: The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.

Step-by-step explanation:

x is the price of the battery

x + 1.50 is the price of the torch

x + (x + 1.50) is 2.50

x + (x + 1.50) = 2.50

2x = 2.50 - 1.50

2x = 1

x = 1/2

x = 0.50

The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.

Answer:

Step-by-step explanation:

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Work Shown:

10% of $9 = 0.10*9 = 0.90

The shipping cost is $0.90, or 90 cents.

This means the total cost goes from $9 to $9.90