What is the value of (2/3)^3?
8/9
5/12
6/27
8/27

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

The probability of testing positive a second time given that they test positive once depends on the accuracy and specificity of the testing method used, as well as the prevalence of the condition being tested for in the population.

Assuming that the testing method is accurate and specific, and that the prevalence of the condition being tested for is low, then the probability of testing positive a second time given that they test positive once is still high, but less than the probability of testing positive on the first test.

This is because the second test is not completely independent of the first test, as the result of the first test provides some information about the likelihood of the individual having the condition being tested for. However, if we assume that the two tests are statistically independent given drug user status, then the probability of testing positive a second time given that they test positive once is the same as the probability of testing positive on the first test, which depends on the prevalence of the condition and the accuracy and specificity of the testing method.

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Answer:

Here's an interesting project idea for mathematics that can relate three different topics:

Topic 1: Fractals

Topic 2: Chaos Theory

Topic 3: Differential Equations

Research Question: Can fractals be used to model chaotic systems described by differential equations?

In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.

Your research paper can cover the following areas:

Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.

Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.

Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.

Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.

Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.

Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.

Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.

Step-by-step explanation:

Answer:

\(x=2\)

Step-by-step explanation:

Since the scale is in equilibrium, both sides must be equal. Therefore, we have the following equation:

\([\text{Left Side} ]3x+3=[\text{Right Side}]9\)

Solving for \(x\):

\(3x+3=9,\\3x=6,\\x=\boxed{2}\)

Answer:x=2

Step-by-step explanation: try to first set up an equation. First we can see the scale is balanced so we know each side is equal to each other. You have 3 x boxes and 3 circles so our first side will be 3x+3. Now let’s move onto the second side. It has 9 circles so 3x+3=9. Now let’s solve!

Subtract 3

3x=6

Now divide by 3

X=2

Hope this helps

Answer:

a. The sampling distribution of the sample mean will have a smaller standard deviation than the population.

b. The sampling distribution of the sample mean will have a different standard deviation than the population.

c. The shape of the sampling distribution of the sample mean will be skewed right.

Step-by-step explanation:

The value of y is 9.

Perimeter is the total length of the boundary of any closed shape. It is basically the sum of all the sides of a given figure.

Perimeter of a rectangle is given by [ 2( l + b ) ] or (2 l + 2 b ) or

( l + l + b + b), here l and b represent the length and breadth of the given rectangle.

Perimeter of the given rectangle = 166 units               ( given )

Length of the given rectangle = 5y                                ( given )

Breadth of the given rectangle = (4y + 2)                     ( given )

By putting values in the formula, we get

perimeter = 2 ( l + b )

166 = 2 [ (5y) + (4y + 2) ]

166 = 2 [ 5y + 4y + 2 ]

166 = 2 [ 9y + 2 ]

166 = 2*9y + 2*2

166 = 18y + 4

166-4 = 18y  ( moving 4 to other side thus changing the sign to negative )

162 = 18y

162/18 = y  ( moving 18 to other side for further solution )

y = 9

Therefore, the value of y for which the perimeter of the given rectangle is 166 units is 9.

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The value of y is 9.

The whole length of any closed shape's boundary is known as its perimeter. In essence, it is the total of a given figure's sides.

A rectangle's perimeter can be calculated using [2(l + b)] or (2 l + 2 b) or

(l + l + b + b), where l and b stand for the provided rectangle's length and width

The rectangle's perimeter is 166 units ( given )

The rectangle's length is 5y ( given )

Given rectangle's width equals (4y + 2) ( given )

When we enter values into the formula, we obtain

perimeter = 2 ( l + b )

166 = 2 [ (5y) + (4y + 2) ]

166 = 2 [ 5y + 4y + 2 ]

166 = 2 [ 9y + 2 ]

166 = 2*9y + 2*2

166 = 18y + 4

166-4 = 18y  ( moving 4 to other side thus changing the sign to negative )

162 = 18y

162/18 = y  ( moving 18 to other side for further solution )

y = 9

Therefore, the value of y for which the perimeter of the given rectangle is 166 units is 9.

Answer:

65

Step-by-step explanation:

just took the quiz.com

Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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Step-by-step explanation:

-6,-2,0,4,8

this is the answer

Answer:

Es el acronimo de la (Contraloría General de la República

Step-by-step explanation:

Espero ayudarte suerte

Significado de SGR. El significado de la sigla SGR es el acrónimo de Sociedades de Garantía Recíproca. El significado de la sigla SGR es el acrónimo de sociedad de garantía recíproca y pertenece a la categoría Europa. El significado de la sigla SGR es el acrónimo de Sociedad de Garantías Recíprocas.

Answer:

5 > \(\sqrt{18\)

Step-by-step explanation:

The square root of 18 is approximately 4.24.

5 is greater than 4.24, so we can use the inequality sign >.

The width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).

The base of a pyramid can be any polygon, such as a square or a triangle, but the height must always be measured perpendicular to the base.

Dimensions refer to the number of coordinates needed to specify the location of an object in space.

Based on the given information, we can set up an equation to solve for x, which is the width of the rectangular base of the pyramid:

Volume of pyramid = 1/3 × base area ×height

96 = 1/3 ×(3x+1) × x ×12

Simplifying the equation:

96 = 4x² + (4/3)x

Multiplying both sides by 3 to eliminate the fraction:

288 = 12x² + 4x

Rearranging the equation into a quadratic form:

12x² + 4x - 288 = 0

Dividing both sides by 4 to simplify the equation:

3x² + x - 72 = 0

We can then use the quadratic formula to solve for x:

x = (-b ± \(\sqrt{(b^2-4ac)}/2a\)

where a = 3, b = 1, and c = -72.

Plugging in the values:

x=(-1±\(\sqrt{1^2-4(3)(-72)} /2(3)\))

x=(-1±\(\sqrt{1+864} /6\))

x = (-1 ±\(\sqrt{865} /6\) )

Since the width of the base cannot be negative, we take the positive solution:

x = (-1 + √(865) / 6

Therefore, the width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).

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The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.

The percentage increase can be determined by finding the difference or the amount of increase in sales.

This difference is divided by the previous month's sales and multiplied by 100.

The total number of boxes of cookies Molly's Scout Troop sold last month = 148

The total number sold this month = 165

The increase = 17 (165 - 148)

Percentage increase = 11.5% (17 ÷ 148 x 100)

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The solution to the system, as an ordered triple is: (3, -4, 6).

To solve the following given system of equations:

2x + y + 3z = 20 --> eqn. 1

x + 2y - z = -11 --> eqn. 2

3x - 2z = -3 --> eqn. 3

Multiply equation 1 by 2 to get eqn. 4:

4x + 2y + 6z = 40 --> eqn. 4

Subtract eqn. 4 from eqn. 2:

x + 2y - z = -11 --> eqn. 2

4x + 2y + 6z = 40 --> eqn. 4

-3x - 7z = -51 --> eqn. 5

Add equations 3 and 5 together:

3x - 2z = -3 --> eqn. 3

-3x - 7z = -51 --> eqn. 5

-9z = -54

z = -54/-9

z = 6

Substitute the value of z into equation 5:

-3x - 7(6) = -51 --> eqn. 5

-3x - 42 = -51

-3x = -51 + 42

-3x = -9

-3x/-3 = -9/-3

x = 3

Find the value of y by substituting the values of x and z into equation 1:

2(3) + y + 3(6) = 20 --> eqn. 1

6 + y + 18 = 20

24 + y = 20

y = 20 - 24

y = -4

The solution as an ordered triple is: (3, -4, 6).

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Answer:

20

Step-by-step explanation:

x/67=29/100

29x67=1943

1943/100=

19.43

Round:

20

Answer:

No, the origin is Located at (0,0)

Answer:

no

Step-by-step explanation:

The origin is located at the center of a graph, at (0, 0)

Our initial assumption that S is non-empty must be false. Therefore, for every x ε W, f(x) < x.

To prove the given statement, let's assume that (W, <) is a well-ordered set and f: WW is an increasing function. We need to show that f(x) < x for each x ε W.

Since (W, <) is a well-ordered set, every non-empty subset of W has a minimum element. Let's consider the set S = {x ∈ W | f(x) ≥ x}. Suppose S is non-empty.

By the well-ordered property of (W, <), S has a minimum element, let's call it a. Since a is the minimum element of S, it implies that for all x < a, f(x) < x, because if f(x) ≥ x for any x < a, then x would be an element of S smaller than a, contradicting the assumption that a is the minimum element of S.

Now, let's consider f(a). Since f is an increasing function, f(a) ≥ f(x) for all x < a. But we also know that f(x) < x for all x < a. Combining these two inequalities, we get f(a) < x for all x < a, which means f(a) is an element of S smaller than a, contradicting the assumption that a is the minimum element of S.

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Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

Answer:

2k + 2

Step-by-step explanation:

It's said that Andy buys k packets of crisps, meaning this is an unknown variable. Since Laura buys two MORE bags of crisps than Andy, her total number of chips will be k + 2. To find the TOTAL number of crisps between the two of them, you would have to add Andy's crisps, k, to Laura's crisps, k + 2. This will give you k + k + 2, which is just 2k +2.

Answer:

It's probably it

Step-by-step explanation:

A = (-4, -2)

B = (1, 6)

Imagine a new point (C) where they intersect (1, -2)

Now we can form a triangle, the distance between A and B will be the hypotenuse.

h² = 5² + 8²

h² = 25 + 64

h² = 89

h = \(\sqrt{89}\)

h = ~9.43...

h = 9

Answer:

i think a

Step-by-step explanation:

Answer:

Please capture and post the picture of your question.

Answer:

Step-by-step explanation:

the answer is 6

Answer:

On a number line, 1/6 would land in the exact middle between 0 and 2/6

Step-by-step explanation:

Not too sure what your question meant, but I hope my answer helped!

If it wasn't what you were looking for, please let me know and elaborate on your question and I'll be happy to help out! :)

Answer:

Step-by-step explanation:

a) Total weight comprises of the weight of jar plus weight of Jolly Ranchers

b) When the candy jar is full, it weighs 1224 grams. How many Jolly Ranchers can the jar hold?  

Given w = 1224, then to find j we solve the equation:

The jar can hold 129 Jolly Ranchers

Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

Answer:

she left at 3:20

Step-by-step explanation:

if her practice is at 3:45 and she used 25mins then she would need to leave at 3:20

the four key assumptions which are required for multiple linear regression analysis are.

A regression model known as multiple linear regression uses a straight line to calculate the association between two or more independent variables and a quantitative dependent variable.

1.

the four key assumptions which are required for multiple linear regression analysis are:

A non-linear data transformation or the inclusion of a quadratic factor may be able to solve the issue if the data are heteroscedastic.

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