In a recent year, a research organization found that 228 of the 350 respondents who reported earning less than $30,000 per year said they were social networking users. At the other end of the income scale, 290 of the 472 respondents reporting earnings of $75,000 or more were social networking users. Let any difference refer to subtracting high-income values from low-income values. Complete parts a through d below. Assume that any necessary assumptions and conditions are satisfied. a) Find the proportions of each income group who are social networking users. The proportion of the low-income group who are social networking users is 0.6514 The proportion of the high-income group who are social networking users is 0.6144 (Round to four decimal places as needed.)

Answer:

11

Step-by-step explanation:

3 (x + 5) = 5x - 7

3x + 15 = 5x - 7

3x - 5x = -7 -15

-2x = - 22

x = 11

A graph that represent y = [x] over the domain 3 ≤ x ≤ 6 include the following: D. graph D.

In Mathematics and Geometry, a greatest integer function is a type of function which returns the greatest integer that is less than or equal (≤) to the number.

Mathematically, the greatest integer that is less than or equal (≤) to a number (x) is represented as follows:

f(x) = [x].

By critically observing graph D, we can logically deduce that only its parent greatest integer function has closed circles or dots that begins from a point with an x-value of 3 and an x-value of 6;

Domain = 3 ≤ x ≤ 6 or [3, 6].

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Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer:

The tanks by volume per fish from least to greatest:

Tank C, Tank A, Tank B

Step-by-step explanation:

A pet store has three fish tanks, each holding a different volume of water and a different number of fish.

Order the tanks by volume per fish from least to greatest.

Tank A holds 40 L and 5 fish.

= 40L/5 fishes

= 8 volume per fish

Tank B holds 100 L and 12 fish

= 100L/12 fishes

= 8.3333333333 volume per fish

Tank C holds 180 L and 23 fish.

= 180L /23 fish

= 7.8260869565 volume per fish

The tanks by volume per fish from least to greatest

Tank C, Tank A, Tank B

The Domain of the given function is −2≤x≤2 and the range of the given function are −2≤y≤3.

The domain of a graphical function refers to all the input values which are shown or plotted on the x-axis. The domain of a function may be defined as the set of values that are assumed for the function.

The range of a graphical function refers to all the input values which are shown or plotted on the y-axis. The range of a function may be defined as the set of values that the function gives after assuming the input values for the function.

Here in the graph, the set of input values on the x-axis are from -2 to 2. Thus, the domain is −2≤x≤2. Also, the set of input values on the y-axis is from -2 to 3. Thus, the range is −2≤y≤3.

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Answer:

a = 3

Step-by-step explanation:

We can start by cross multiplying, which is a method to help solve proportions. We get:

5 * a = 3 * (a + 2)

Now, we can distribute the 3 and solve:

5a = 3a + 6

-3a  -3a

2a = 6

/2    /2

a = 3

Answer:

\(a = 3\)

Step-by-step explanation:

\(a \times 5=(a+2) \times 3\)

\(5a=(a+2) \times 3\)

\(5a=3a+6\)

\(5a−3a=6\)

\(2a=6\)

\(a = 3\)

The work that the force F performs is -36.

F = [ay - cx]

a = 2

b = 3

c = 2

d = 3

Green's theorem is theorem about the relationship between a integral line on a simple closed curve C and a double integral of a plane D bounded by C. So, from Green's Theorem we get,

∫Pdx + Qdy = ∫∫(\(\frac{\partial Q}{\partial x}\)-\(\frac{\partial P}{\partial y}\))dA

Put the a and c value into force F equation. So,

F = [2y - 2x]

From this, we get

P = 2y

Q = -2x

\(\frac{\partial P}{\partial y}\) = 2

\(\frac{\partial Q}{\partial x}\) = -2

So, the integral formula become

∫∫(\(\frac{\partial Q}{\partial x}\)-\(\frac{\partial P}{\partial y}\))dA = ∫∫(-2-2)dA

= -4 dA

Next, we calculate the work

Work = -4 × b × d

= -4 × 3 × 3

= -36

Thus, the work is -36 for the force F performs.

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Answer:

x = 1/2   y = -5/2

Step-by-step explanation:

Since we already know an equation for y, we just need to plug it into the other equation.

21x - 7(-5x) = 28

21x + 35x = 28

56x = 28

x = 1/2

Now that we know x, we substitute it into the other equation, to find y.

y = -5x

y = -5(1/2)

= -5/2

The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

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Answer:

nn

Step-by-step explanation:

nnnnnn

Answer: 0

Step-by-step explanation:

To find slope, I found that an easy way is the equation y2 - y1 over (divided by) x2 - x1

so for this, it would be:

\(\frac{2 - 2}{4-(-3)}\)

which is 0/7

0 divided by 7 is 0, so there is your answer

Answer: x = 15/8

Explanation: I used a calculator on a website.

Answer:

15/8

Step-by-step explanation:

Hope this helps: )

Answer:

2cm = 200mm

Ratio: 200(white) / 12(coloured)

Simples form: 50(white) / 3(coloured)

We can write\(:∫0¹(1-x^q)^1/pdx = ∫1⁰(1-v)^1/pv^(1/q - 1) dv.\)

To prove that \(∫0¹(1-x^p)^1/qdx=∫0¹(1-x^q)^1/pdx,\) we use the substitution u = x^p and u = x^q respectively.

Using the substitution method, we have the following:  Let\(u = x^p,\) then \(du/dx = px^(p-1)\)and \(dx = (1/p)u^(1/p - 1) du.\)

Hence we can write\(:∫0¹(1-x^p)^1/qdx = ∫0¹(1-u)^1/qu^(1/p - 1) duLet v = (1 - u), then dv/dx = -du and dx = -dv.\)

Therefore, we can write:\(∫0¹(1-u)^1/qu^(1/p - 1) du = ∫1⁰(1-v)^1/qv^(1/p - 1) dvS\)

Since p and q are both positive, 1/p and 1/q are positive, which implies that the integrals are convergent. Now let us apply the same technique to the other integral. I\(f v = x^q, then dv/dx = qx^(q-1) and dx = (1/q)v^(1/q - 1) dv.\)

Hence we can write:∫\(0¹(1-x^q)^1/pdx = ∫1⁰(1-v)^1/pv^(1/q - 1) dv.\)

Using the identity\((1 - u)^1/q = (1 - u^q)^(1/p),\)

we can write:\(∫0¹(1-x^p)^1/qdx = ∫0¹(1 - (x^p)^q)^(1/p)dx = ∫0¹(1 - x^q)^(1/p)dx∫0¹(1-x^q)^1/pdx = ∫0¹(1 - (x^q)^p)^(1/q)dx = ∫0¹(1 - x^p)^(1/q)dx.\)

Hence, we have shown that \(∫0¹(1-x^p)^1/qdx = ∫0¹(1 - x^q)^(1/p)dx.\)

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The cross product of vectors a and b is v = 〈1, 1, -1〉.

The cross product of two vectors is a vector that is orthogonal (perpendicular) to both of the original vectors. It is calculated using the determinant of a 3x3 matrix.

Let's consider two vectors a = 〈a1, a2, a3〉 and b = 〈b1, b2, b3. To find the cross product of two vectors, we can use the formula:

v = (a2b3 - a3b2)i + (a3b1 - a1b3)j + (a1b2 - a2b1)k

Given vectors a = 〈1, 2, 3〉 and b = 〈3, 5, 8〉, we can substitute their components into the formula:

v = ((2 * 8) - (3 * 5))i + ((3 * 3) - (1 * 8))j + ((1 * 5) - (2 * 3))k

= (16 - 15)i + (9 - 8)j + (5 - 6)k

= 1i + 1j - 1k

= 〈1, 1, -1〉

Therefore, the cross product of vectors a and b is v = 〈1, 1, -1〉.

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The angular area of the HST's field of view is 25 square degrees.

The field of view is the extent of the sky that the Hubble Space Telescope (HST) can observe at a given time. It is usually measured in degrees.

To calculate the angular area, we can use the formula for the area of a circle:

Area = π * (angular size/2)^2

Where π is a mathematical constant approximately equal to 3.14, and the angular size is in degrees.

Let's say the angular size of the HST's field of view is 10 degrees.

First, we divide the angular size by 2:

10 degrees / 2 = 5 degrees

Next, we square the result:

5 degrees * 5 degrees = 25 square degrees

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Tallulah needs to buy at least 33 sets of glasses, where each set has 10 glasses, to ensure the restaurant has at least 569 glasses. The inequality is 10s ≥ 324, solved as s ≥ 33.

Let's use "s" to represent the number of sets of glasses Tallulah could buy. Since each set contains 10 glasses, the total number of glasses she would purchase is 10s.

The restaurant needs at least 569 glasses, and currently has 245 glasses. Therefore, Tallulah needs to buy enough glasses to make up the difference:

569 - 245 = 324

To ensure that the restaurant has at least 569 glasses after Tallulah makes her purchase, we can set up the inequality:

10s ≥ 324

Solving for "s", we can divide both sides by 10:

s ≥ 32.4

Since Tallulah cannot buy a fraction of a set, we need to round up to the nearest whole number. Therefore, she must buy at least 33 sets of glasses to have enough for the restaurant.

So the final inequality and solution is:

10s ≥ 324

s ≥ 32.4

s ≥ 33 (rounded up to the nearest whole number)

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The best approximation for the area of this circle is approximately 50.2 m².Option (c) is the correct answer.

To determine the best approximation for the area of this circle, we need to use the formula for the area of a circle, which is given by A = πr².

Here, we are given the value of π to be approximately equal to 3.14.

Now, we need to determine the radius of the circle.

From the diagram, we can see that the diameter of the circle is 8 meters.

Therefore, the radius is half of this, which is 4 meters.

Substituting the values of π and r into the formula, we get: A = πr²= 3.14 × 4²= 3.14 × 16= 50.24 (to two decimal places)

Therefore, the best approximation for the area of this circle is approximately 50.2 m².Option (c) is the correct answer.

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Answer:

Pls take a clearer picture or type down the values pls. Is angle D=6x+3 or something else?

Answer: C

Step-by-step explanation:

The largest component probability that can be achieved for the system is approximately 0.9428.

The cost of a system component is given by the equation C = 10\(P^2\), where C is the cost in dollars and P is the probability that the component will operate as expected. In this case, there are three identical components in the system, and the engineer has a budget of $252 to spend on these components.

To find the largest component probability that can be achieved, we need to determine the maximum value of P while staying within the budget. We can set up the equation:

3C = 252

Substituting C with the given equation, we get:

3(10\(P^2\)) = 252

Simplifying the equation, we have:

30\(P^2\) = 252

Dividing both sides of the equation by 30:

\(P^2\) = 8.4

Taking the square root of both sides:

P ≈ \(\sqrt{8.4}\)

P ≈ 2.8978

Since we are dealing with probabilities, the component probability cannot be negative, so we consider only the positive value. Therefore, the largest component probability that can be achieved is approximately 0.9428, rounded to 4 decimal places.

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Answer:

This doesnt give enough things to answer

Answer:

x ≤ \(\frac{7}{17}\)

Step-by-step explanation:

multipy both sides by twelve

move the variable to the left side and change the sign

collect like terms

divide both sides by -17 and flip the inequality sign

The measure of each angle is given below:

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.

Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

The measure of angles {contd.} is:

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√30 - Real irrational root

-26 Real rational integer

√64 Real rational root whole number

1/4 Real rational

0.0363..... Real irrational decimal

0.4242..... Real irrational decimal

7i - Imaginary number

An imaginary number is a complex number that can be written in the form ai, where a is a real number and i is the imaginary unit, which is defined as the square root of -1.

Imaginary numbers are used in mathematics to represent quantities that are not real, such as the square roots of negative numbers. They play an important role in areas such as engineering, physics, and computer science, where they are used to describe complex phenomena such as alternating current and signal processing.

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Answer:

i think circumference. good luck :D

Step-by-step explanation:

An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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