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As a result, from the equation a 0.622-gram sample of gas with a 2.4-liter volume and 287 K and 0.850 atm has a 7.18-gram molar mass.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14.

An ideal gas is a gas in which the particles (a) do not attract or repel one another and (b) take up no space (have no volume).

[tex]V = 2.4 L = 0.0024\\P = 86126.25 Pa\\T = 287 K\\m = 0.622\\R = 8.314[/tex]

The ideal gas equation is given below.

[tex]n = PV/RT\\n = 86126.25 x 0.0024 / 8.314 x 287\\n = 0.622 / molar mass (n = Avogardos number)\\Molar mass = 7.18 g[/tex]

As a result, a 0.622-gram sample of gas with a 2.4-liter volume and 287 K and 0.850 atm has a 7.18-gram molar mass.

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Answer: B square root of 40

Step-by-step explanation:

You're trying to find the length of the hypotenuse so you need to use the formula a^2 + b^2 = c^2

c = x

a = 2

b = 6

So 2^2 + 6^2 = x^2

Which equals: 4 + 36 = x^2

This can be simplified into 40 = x^2

And to get x by itself, just take the square root of each side: Square root of 40 = x

The 98% confidence interval for the difference in proportions of tails side up for a penny and a dime would lie between -0.2 and 0.6.

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, and presentation of data. It is used to summarize, analyze, and compare data in order to draw conclusions and make decisions. Statistical methods are used in a wide variety of fields, including economics, finance, business, engineering, medicine, psychology, social sciences, and many others.

Statistics helps us to understand the behavior of a large number of variables by studying their distributions, relationships, and other patterns. Statistical methods are used to describe and summarize the data, estimate parameters of the population, test hypotheses, and make predictions. Statistical analysis can be used to draw conclusions about the population based on sample data and to determine the probability of certain events occurring. Statistical techniques are used to identify trends and patterns in data, as well as to assess relationships between variables.


This confidence interval can be calculated using the formula for a confidence interval for two proportions, which is: CI = p1 - p2 ± (1.96 x √[(p1(1-p1)/n1) + (p2(1-p2)/n2)]).

In this case, p1 is the proportion of times a spinning penny lands with tails up (18/30 = 0.6), p2 is the proportion of times a spinning dime lands with tails up (20/30 = 0.67), n1 is the number of times the penny was spun (30) and n2 is the number of times the dime was spun (30). Plugging these values into the formula yields a confidence interval of -0.2 and 0.6.

This means that we can be 98% confident that the difference in proportions of tails side up for a penny and a dime lies between -0.2 and 0.6.

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The required dimensions of the given rectangle are a breadth of 21 meters and a length of 63 meters.

The homes we live in and the items we use on a daily basis all have three dimensions: height, length, and width.

The minimal set of coordinates required to specify any point within a mathematical space is known as the dimension of the space in physics and mathematics.

So, the dimensions of the rectangle are:

Let the dimensions of this rectangle be x for the width and 3x for the length.

2(Length + Breadth) =perimeter of rectangular park.

2( 3x + x ) = 168 metres.

6x + 2x = 168 metres.

8x = 168 metres.

x = (168/8) metres.

x = 21 metres.

Now,

Breadth: x = 21 metres

Length: 3x = 3× 21 = 63 metres

Therefore, the required dimensions of the given rectangle are a breadth: of 21 meters and a length of 63 meters.

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Correct question:

The length of a rectangular park is thrice its breadth and if the perimeter of the park is 168 meters, find its dimensions.

The relationship between the expressions is that these are inverses.

Here we want to find the relationship between:

logₐ(n) = logₙ(a)

(I changed the variable b for n)

Remember the definition of a logarithm with a base, we can rewrite it as:

logₐ(n) = ln(n)/ln(a)

If we write both of the expressions in that form, we will get:

logₐ(n) = logₙ(a)

ln(n)/ln(a) = ln(a)/ln(n)

So, as you can see, the two expressions are inverses, that is the relation.

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According to the given information the standard error for the sample proportion is 0.024.

When determining if two ratios as well as fractions are equivalent, using proportion formula is utilized. By dividing the supplied numbers, we may determine the missing value. One way to express the percentage formula is as a: Whereas a and d are indeed the extremes values and b and c are indeed the mean terms, a: b::c : d = a/b = c/d 

Sample size (n) = 146 participants

The percentage (p) of respondents who said they would be interested in attending the program again is as follows:

[tex]\begin{aligned}& p=\frac{132}{146} \\& p=0.9041\end{aligned}[/tex]

For a sample of size "n" and percentage "p," the standard error is as follows:

[tex]\begin{aligned}& S E=\sqrt{\frac{p *(1-p)}{n}} \\& S E=\sqrt{\frac{0.9041 *(1-0.9041)}{146}} \\& S E=0.024\end{aligned}[/tex]

The sample percentage of viewers who wish to see the show again has a standard error of 0.024.

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Answer: To determine if there is evidence to suggest that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were, we can conduct a two-sample proportion test.

The null hypothesis is that the proportion of individuals who caught pertussis and were not up to date on their booster shot is the same as the proportion of individuals who caught pertussis and were up to date on their booster shot.

H0: p1 = p2

The alternative hypothesis is that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than the proportion of individuals who caught pertussis and were up to date on their booster shot.

Ha: p1 > p2

Using a two-sample proportion test with a significance level of 0.05, we can calculate the test statistic and p-value.

p1 = 15/132 = 0.1136

p2 = 11/368 = 0.0301

p = (15 + 11)/(132 + 368) = 0.0564

SE = sqrt{p(1-p)((1/132)+(1/368))} = 0.0165

z = (p1 - p2) / SE = 4.0491

p-value = P(z > 4.0491) = 0.0000

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is evidence to suggest that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.

Step-by-step explanation:

Answer:

50.3 square units

Step-by-step explanation:

area of rectangle: 11 x twice the radius

radius = 2

A(rect): = 11(4) = 44 sq units

A (semi-circle) = (π·r²) / 2

A = 4π / 2 = 2π = 6.28 sq units

44.0 + 6.28 = 50.28

Answer: -8

Step-by-step explanation:

When plotting points on a quadratic inequality, the "included" points refer to the points that satisfy the inequality, and the "not included" points refer to the points that do not satisfy the inequality.

Generally, A quadratic inequality is an inequality that can be written in the form of

ax^2 + bx + c > 0 or ax^2 + bx + c < 0,

where a, b, and c are constants and x is a variable.

These types of inequalities can be solved using the same methods as solving quadratic equations, with the added step of testing the solutions in the original inequality to determine whether they are valid solutions.

Simply put, an equation of the kind with the greatest degree two and no equal sign is known as a quadratic inequality. There is a technique for resolving quadratic inequalities called the wavy curve approach. It is the same to solve quadratic equations as it is to solve quadratic inequalities.

For example, if the inequality is "y > x^2," the points that are above the parabola y = x^2 would be included, and the points that are below the parabola would be not included.

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The slope of a line that is perpendicular to the line through the points is - 25/123

The change in the y-coordinate relative to the change in the x-coordinate of a line is referred to as the slope of that line. The net change in the y-coordinate is y, while the net change in the x-coordinate is x. As a result, the change in the y-coordinate with regard to the change in the x-coordinate may be expressed as,

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

The reciprocal of the perpendicular line's slope is negative. This implies that you switch the slope's sign to its opposite.

m₁ × m₂ = -1

Where,

m₁ = Slope of the first line

m₂ = Slope of the second line

According to the question

Given

points A (4.95, 5.96) and B (8.01, 21.03)

So the equation of the line passing from these two points will be

(y - y₁) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] (x - x₁)

So the equation we get will be

(y - 5.96) = [tex]\frac{21.03 - 5.96}{8.01 - 4.95}[/tex] (x - 4.95)

⇒ y - 5.96 = 4.92 (x - 4.95)

⇒ y - 5.96 = 4.92x - 24.55

⇒ y = 4.92x - 18.39

This is the required equation passing from the two given points with slope m = 4.92 ⇒ m = 123/25

Now

∵ m₁ × m₂ = -1

∴ (123/25) × m₂ = -1

⇒ m₂ = - (25/125)

Hence, the slope of a line that is perpendicular to the line through the points is - 25/123

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The slope of a line that is perpendicular to the line through the points is - 25/123

The change in the y-coordinate relative to the change in the x-coordinate of a line is referred to as the slope of that line. The net change in the y-coordinate is y, while the net change in the x-coordinate is x. As a result, the change in the y-coordinate with regard to the change in the x-coordinate may be expressed as,

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

The reciprocal of the perpendicular line's slope is negative. This implies that you switch the slope's sign to its opposite.

m₁ × m₂ = -1

Where,

m₁ = Slope of the first line

m₂ = Slope of the second line

According to the question

Given

points A (4.95, 5.96) and B (8.01, 21.03)

So the equation of the line passing from these two points will be

(y - y₁) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] (x - x₁)

So the equation we get will be

(y - 5.96) = [tex]\frac{21.03 - 5.96}{8.01 - 4.95}[/tex] (x - 4.95)

⇒ y - 5.96 = 4.92 (x - 4.95)

⇒ y - 5.96 = 4.92x - 24.55

⇒ y = 4.92x - 18.39

This is the required equation passing from the two given points with slope m = 4.92 ⇒ m = 123/25

Now

∵ m₁ × m₂ = -1

∴ (123/25) × m₂ = -1

⇒ m₂ = - (25/125)

Hence, the slope of a line that is perpendicular to the line through the points is - 25/123

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Answer:

31.25%

Step-by-step explanation:

55- 30 = 25

25/80 x 100 = 125 /4 or 31.25%

I am assuming that the sample size is between 10 and 80.

Cheers

Answer:

31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54

A translation is a mapping of a figure in a direction and distance without changing its orientation. The rule for a translation is of the form (x, y) -> (x + h, y + k), where h and k are the horizontal and vertical distances of the translation, respectively.

A reflection is a mapping of a figure across a line, called the line of reflection, without changing its size or orientation. The rule for a reflection is of the form (x, y) -> (x, -y) or (x, y) -> (-x, y), depending on whether the line of reflection is horizontal or vertical, respectively.

A rotation is a mapping of a figure around a point, called the center of rotation, by a certain angle. The rule for a rotation is of the form (x, y) -> (x', y'), where x' and y' are the coordinates of the rotated point, and are given by x' = xcos (theta) - ysin(theta) and y' = xsin(theta) + ycos(theta), where theta is the angle of rotation.

A glide reflection is a composition of a translation and a reflection. The rule for a glide reflection is of the form (x, y) -> (x + h, -y) or (x, y) -> (x, -y + k), depending on whether the line of reflection is horizontal or vertical, respectively, and h or k is the distance of translation.

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The inverse of a point (1, 2) on a graph would be the point (2, 1) because it's the reflection of the point (1, 2) over the line y = x.

In general, the inverse of a point (x, y) on a graph is the point (y, x). This is because when we switch the x and y coordinates of a point, we are reflecting it over the line y = x, which is the line of symmetry of the inverse function.

Inverse functions are mathematical operations that "reverse" each other. For example, if f(x) = 2x, then the inverse function f^-1(x) = x/2, when you apply f(x) and then f^-1(x) to a number you'll get the same number, so f^-1(f(x))=x, that's why they are called inverse. Inverse functions are only defined for bijective functions.

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Therefore , the solution of the given problem of speed comes out to be

v=10mph is the michael speed in  water.

Distance-based speed is a gauge of how quickly something is moving. The amount of distance a moving object may move in a certain length of time depends on its speed. Speed is calculated using the following equation: velocity = distance x time. The most used units for gauging speed are meters per second (m/s), kilometers per hour (km/h), and kilometers per second (mph) (mph).

Here,

Given :The issue can be rapidly resolved after an equation has been established. Consider the equation time = distance/velocity. Let the speed of moving water equal v. The distance, 182 miles, will be the same both ways.

Downstream time =182/(v+3)

Downstream time + 12 = 182 (v-3)

Set t to the downstream time. Set t=t!

182/(v+3) = 182/(v-3) - 12

Denominators are eliminated by dividing both side by (v+3) (v-3).

12v2 turns out to equal 1200.

Hence, v=10 mph!

Therefore , the solution of the given problem of speed comes out to be

v=10mph is the michael speed in  water.

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The area of the octagon, to the nearest square centimeter, is 628 cm^2.

Octagon is a two-dimensional shape with eight sides and eight angles. It is a polygon with eight vertices, and it is one of the most widely recognized geometric shapes. It is often used in architecture, as well as in signage and logo designs. Octagons can also be found in nature, such as in the shape of honeycomb cells, some flower petals, and certain animal eyes.

To calculate the area of an octagon, we need to first calculate the length of the side. To do this we use the formula for the perimeter of an octagon: P = 8s, where s is the length of the side. Solving for s: s = P / 8.

The perimeter of the octagon is 80 cm. So the length of the side is 80 cm / 8 = 10 cm. Now we can use the formula for the area of an octagon: A = 2(1 + √2) s^2. Plugging in our value for s, we get: A = 2(1 + √2) (10 cm)^2 = 628.3 square cm. The area of the octagon, to the nearest square centimeter, is 628 cm^2.

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Solving for UY. in the figure provided where VX is a midsegment of UWY,  UY is 90

When the comparable triangles' angles are congruent and their respective sides are proportionate, this is referred to as similar triangles in geometry.

In light of this, if the triangle's corresponding angles are congruent, then the side should be proportionate.

For the given figure, the proportionate sides are

WV and VX, WU and UY

Solving for P

WV / VX = WU / UY

1 / (20p - 95) = 2 / (13p - 1)

cross multiplying

13p - 1 = 2(20p - 95)

13p - 1 = 40p - 190

collecting like terms

190 - 1 = 40p - 13p

189 = 27p

p = 7

solving for UY

= 13p - 1

= 13 * 7 - 1

= 90

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Ram and Shyam laid 80 and 170 bricks respectively.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Two workers laid 250 bricks. If Ram had laid twice as many as he did and Shyam had laid half as many as Ram did, there would have been 50 bricks left over.

Let each of them initially laid x and y bricks,

Therefore, establishing the equations,

x + y = 250....(i)

According to later condition,

2x + x/2 = 200

4x + x = 400

5x = 400

x = 80

Put x = 80, in equation (i)

80 + y = 250

y = 170

Hence, Ram and Shyam laid 80 and 170 bricks respectively.

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To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes, meaning the user had used 650 minutes throughout the month.

$50 initial fee + $.25 per minute = $225

$225 - $50 = $175

$175 / $.25 = 650 minutes

The initial fee for the phone plan was $50, and for every minute used, an additional $.25 was charged. Last month's bill was $225, so subtracting the $50 initial fee from the total cost of the bill leaves $175, which is the cost of the minutes used. To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes.

The phone plan charges an initial fee of $50 for the month, as well as an additional $.25 for every minute used. Last month's bill was $225, so to find the total number of minutes used, subtract the $50 initial fee from the total cost of the bill. This results in $175, which is the cost of the minutes used. To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes, meaning the user had used 650 minutes throughout the month.

A user's phone plan last month costed $225, which included an initial fee of $50 plus $.25 for every minute used. After subtracting the initial fee from the total bill cost, $175 was left which was the cost of the minutes used. Dividing this number by the $.25 per minute charge reveals that the user had used 650 minutes.

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Answer:

[tex]-8 \leq x \leq -3[/tex]

Step-by-step explanation:

[tex]-8 \leq x \leq -3[/tex] this is the expression you are looking for.

Answer:

Step-by-step explanation:  

              12 < x ≤-8

The value of (x + y) is 25.

What is solving an equation?

We must use arithmetic operations to separate the variables in order to solve any equation.

The same number is added on both sides.

Taking away the same number from both sides.

using the same number on both sides of the multiplication.

using the same number on both sides to divide.

Consider, the given equations

2x^2 - 2y^2 = 125              ..(1)

x - y = 2.5                           ..(2)

From equation (1)

x^2 - y^2 = 125/2

By using:  [tex]a^2 - b^2 = (a - b)(a + b)[/tex]

⇒  (x - y)(x + y) = 125/2

Given:  (x - y) = 2.5

⇒ 2.5*(x + y) = 125/2

           (x + y) = 125/(2*2.5)

            x + y = 125/5

            x + y = 25

Hence, the value of (x + y) is 25.

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Quadrilateral LMNP has four vertices at the coordinates: L(-4,3), M(2,7), N(9,3), and P(-3,-5).

These vertices can be plotted on to  a Cartesian coordinate plane in order  to form a quadrilateral shape. The shape of the quadrilateral which  can be determined by the relative positions of its one of vertices, such as whether to check  it is a rectangle, square, parallelogram, or any other type of quadrilateral as such . However, without more information or proper data , it is not possible to determine whether the quadrilateral is having  the exact shape of quadrilateral LMNP from just its vertices or not .It is a type of polygon which contains  4 sides, 4 vertices and 4 angles. To make a one  quadrilateral and contains four non-collinear points which  are joined and the sum of all the interior angles and exterior angles is always equal to 360 degrees as we know . The word ‘Quadrilateral’ was initiated  from Latin words ‘Quadra’ and ‘Latus’ which meant four and sides respectively.

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The geometric series is 6, -30, 150, -750, 3750, -18750 and the sum of the geometric series is -15624.

A geometric series is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio.

The geometric series that starts with 6, ends with -18,750, and has a common ratio of -5 is:

6, -30, 150, -750, 3750, -18750.

The sum of the geometric series is the sum of all the terms in the series. To find the sum of the series, you can use the formula:

S = a(1 - rⁿ)/(1 - r)

Where:

S is the sum of the series

a is the first term of the series

r is the common ratio

n is the number of terms in the series

In this case, a = 6, r = -5 and n = 6. Thus:

S = 6(1 - (-5)⁶)/(1 - (-5))

S = 6(1 - 15625)/(1 + 5)

S= 6(-15624)/6

S = -15624

Thus, the sum of the geometric series is -15624.

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Answer: The correct equation that matches the statement "The product of a number, x, and 0.28 is 13.44" is:

0.28x = 13.44

This equation states that when a number x is multiplied by 0.28, the result is 13.44.

Step-by-step explanation:

The central limit theorem states that if a large enough sample is taken from a population with a strongly skewed distribution, the distribution of the sample means will be approximately normal, regardless of the shape of the population distribution.

This means that even if the population distribution of burnout times for lightbulbs is strongly skewed to the right, if a large enough sample of burnout times is taken, the distribution of sample means will be approximately normal. This allows for the use of standard statistical techniques, such as calculating a mean and standard deviation, for making inferences about the population.

It is important to note that for the central limit theorem to hold, the sample size should be large enough, usually n>30.

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The values of a, b, c, and d are 1, 2, 3 and 4, though not necessarily in that order. The greatest possible value of ab + bc + cd + da is 25.

Greatest Possible Value:

For any number, whether decimal or integer, the leftmost non-zero digit is most significant. For decimals, this digit is the first non-zero digit to the right of the decimal point, and for integers it is the first digit in a series of numbers. For example, in the fraction 0.00163925, the most significant digit is 1. In the integer 2,473,981, the most significant digit is 2. Rounding off the most significant digit in these two examples gives a fraction of 0.002 and an integer of 2,000,000.

Given That:

The Values of a, b, c and d is 1 ,2 ,3 and 4

Therefore,

4× 2 + 2 × 1 + 1 × 3 +3 × 4

= 25

Therefore, the greatest possible value of ab + bc + cd + da is 25.

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Answer:

d,e,f,g,h

Step-by-step explanation:

all those are function  bc the x value doesn't repeat meaning  the x value has only one y-value