4 12-sided dice are rolled. What is the probability that the number of dice showing a two digit number is equal to the number of dice showing a one digit number

The given equation can be solved to obtain x = 40.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

The given linear equation can be solved as follows,

0.2(x - 20) = 44 - x

=> 0.2x + x = 44 + 0.2 × 20

=> 1.2x = 48

=> x = 48/1.2

       = 40

Hence, the value of x for the given equation is found to be 40.

To know more about Linear equation click on,

brainly.com/question/11897796

#SPJ5

The limit of the difference quotient at x0 = 3 for f(x) is 27.

To calculate the limit of the difference quotient at x0 = 3 for f(x), we need to use the formula:

lim h->0 [f(3+h) - f(3)] / h

Substituting the function f(x) = x^3 - 4x^2 + 2 and x0 = 3, we get:

lim h->0 [(3+h)^3 - 4(3+h)^2 + 2 - (3^3 - 4(3)^2 + 2)] / h

Simplifying this expression, we get:

lim h->0 [27h + 18h^2 + 6h^3 + h^3] / h

lim h->0 [6h^2 + 28h + 27]

Now substituting h = 0, we get:

lim h->0 [6h^2 + 28h + 27] = 27

So, the limit of the difference quotient at x0 = 3 for f(x) is 27.

To graph the function f(x) = x^3 - 4x^2 + 2 and the line y = 27x - 77, we can use a graphing calculator or a computer program. The graphs are related in the sense that the line is a tangent line to the function f(x) at x = 3.

The slope of the line represents the instantaneous rate of change of the function at x = 3, which is the derivative of the function evaluated at x = 3.

In this case, the slope is 27, which means that the function is increasing at a rate of 27 units per unit increase in x at x = 3.

Learn more about :

limit of the difference quotient : brainly.com/question/31846079

#SPJ11

(A) The distribution consists of two clusters and a gap, which best describes the distribution.

So, in the given situation the distribution consists of two clusters and a gap, which best describes the distribution.

Therefore, (A) the distribution consists of two clusters and a gap, which best describes the distribution.

Know more about histograms here:

https://brainly.com/question/2962546

#SPJ4

The complete question is given below:

The diameter, in centimeters (cm), of each tree in a random sample of trees in a forest was measured. The histogram shown summarizes the diameters.

Which of the following is the best description of the distribution?

A. The distribution consists of two clusters and a gap.

B. The distribution is approximately normal.

C. The distribution is symmetric with a skew to the right.

D. The distribution is skewed to the left.

E. The distribution is uniform.

Proportional Linear Relationships can be expressed in the following ways:

From a graphical point of view, a relationship is proportional and linear if the line representing the equation goes via the origin. It is to be noted that a relationship must be linear for it to be proportional and vice versa.

Thus, it is correct to state that Proportional Linear Relationships can be expressed in the following ways:

An example of an equation that is proportional and linear is:
y = 6x + 8. Note that this linear equation is proportional because it has a constant component.

Learn more about the proportional linear relationships at;
https://brainly.com/question/2143065
#SPJ6

The total exposed surface area of the birdbath, including the pillar and pedestal, is therefore 942 cm² + 300 cm² + 600 cm² = 1842 cm².

Surface area is a two-dimensional measure that refers to the total area of a surface, such as the area of a two-dimensional shape, a three-dimensional solid, or a combination of both. It is the sum of the areas of all the faces of a solid object. It is also referred to as the area of the boundary of a three-dimensional object. It can be used to calculate the volume of an object, and is also used in other calculations like area of the base of a triangle, area of a circle, and more.


The exposed surface area of the birdbath including the pillar and pedestal can be determined by calculating the surface area of the cylinder and adding the surface area of the pillar and pedestal.

The formula for the surface area of a cylinder is 2πr² + 2πrh, where r is the radius of the cylinder and h is the height. In this case, the radius of the birdbath is 15 cm (half of the diameter of 30 cm) and the height is 10 cm. Therefore, the surface area of the cylinder is 2π(15 cm)² + 2π(15 cm)(10 cm) = 942 cm².

The surface area of the pillar and pedestal can be calculated by multiplying the height and circumference of each. The height of the pillar is 10 cm and the circumference is 30 cm, so the surface area of the pillar is 300 cm². The height of the pedestal is 20 cm and the circumference is 30 cm, so the surface area of the pedestal is 600 cm².

The total exposed surface area of the birdbath, including the pillar and pedestal, is therefore 942 cm² + 300 cm² + 600 cm² = 1842 cm².

To know more about surface area click-
https://brainly.com/question/1297098
#SPJ1

Answer:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

Step-by-step explanation:

The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

Learn more about syntax:

https://brainly.com/question/21926388

#SPJ11

Answer:

-1-5=x-8

or, -1-5+8=x

or, x= -1-5+8

or, x= -6+8

or, x=2

therefore, x=2

Answer:

x = 40

Step-by-step explanation:

3-4-5 triangle scale factor by 10

Missing side is 4

4*10 = 40 | Multiply by 10 bc of scale factor

x = 40

Two brothers are meeting for coffee but are far apart. One brother starts driving at 9:00 a.m. at 60 mph, while the other starts driving at 9:30 a.m. at 40 mph. Assuming that their speeds do not change and that they do not stop along the trip. The brothers will meet 45 minutes after 9:00 a.m.

Let's calculate the time it takes for the first brother to reach the meeting point.

Distance traveled by the first brother = Speed * Time

Distance traveled by the second brother = Speed * Time

Since the distance between the two towns is 200 miles, and the first brother is traveling at 60 mph, we can set up the equation:

60t = 200

Solving for t, we find that the first brother will reach the meeting point in t = 200/60 = 10/3 hours.

Next, we need to determine the time elapsed after 9:00 a.m., which is 60 minutes. So, the time at which the first brother reaches the meeting point is 9:00 a.m. + 10/3 hours = 9:00 a.m. + (10/3) * 60 minutes = 9:00 a.m. + 200 minutes = 11:20 a.m.

Now, we need to calculate the time it takes for the second brother to reach the meeting point. The second brother is traveling at 40 mph, so we set up the equation:

40t = 200

Solving for t, we find that the second brother will reach the meeting point in t = 200/40 = 5 hours.

The time elapsed after 9:00 a.m. when the second brother reaches the meeting point is 9:00 a.m. + 5 hours * 60 minutes/hour = 9:00 a.m. + 300 minutes = 2:00 p.m.

To find the time at which they meet, we subtract the time the first brother started from the time the second brother started:

2:00 p.m. - 11:20 a.m. = 3 hours and 40 minutes = 220 minutes.

Therefore, they will meet 220 minutes after 9:00 a.m., which is 45 minutes after 9:00 a.m.

To know more about meet, refer here:

https://brainly.com/question/33556525#

#SPJ11

The definition of slope-intercept form y=mx+b is given below.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.

In the given question:-

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.

To learn more about slope of line, click the following link:-

https://brainly.com/question/24778489

#SPJ1

Answer:

choice 1) 312 cm²

Step-by-step explanation:

area = (16 x 12) + (10 x 12) = 312 cm²

Answer:

312

Step-by-step explanation:

triangle：

10x12/2=60

two triangle：

60x2=120

rectangle：

16x12=192

add up：

120+192=312

continuous is an experiment studies the number of tickets written each day by campus police for illegal parking by the university of akron students.

A continuous variable is a type of variable that can take on an infinite number of values within a defined range. The number of tickets written each day by campus police for illegal parking is an example of a continuous variable because there can be an infinite number of values that it can take on within a certain range (e.g. 0 tickets to 100 tickets).

Continuous variables are often used in scientific experiments to measure things like time, weight, height, and so on. These variables can take on any value within a specified range, and the values can be expressed to any level of precision. In contrast, a categorical or discrete variable is a type of variable that can only take on a limited number of values. For example, the number of days in a week (7 days) is a discrete variable because it can only take on 7 values.A continuous variable is a type of variable in statistics and mathematics that can take any value within a specific range or interval. This means that there is an infinite number of possible values that a continuous variable can assume. For example, the height of a person, the temperature of a room, or the time it takes to run a certain distance are all examples of continuous variables. Unlike discrete variables, which can only take specific, distinct values, continuous variables can take any value within a certain range.

To know more about continuous variable ,click here:

brainly.com/question/24253024

#SPJ4

an experiment studies , the number of tickets written each day by campus police for illegal parking by the university of akron students. this variable is

Answer:

5:1

Step-by-step explanation:

I think

Answer:

Hi! The answer to your question is the range is 23

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 62-39=23

VOCAB:

Minumum Data = Smallest Number

Maximum Data = Largest Number

Data Range = The set of y-values that a function passes through, Also the right coordinate in a coordinate pair.

In statistics, the difference between the largest number and the smallest numbers in a data set.

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

-2

Step-by-step explanation:

-5 + 7 = 2 (tuesday)

2 - 13 = -11 ( monday )

2- 4 = -2 (sunday)

Using trigonometry, the angle of elevation of the top of the building from A is 36.87 degrees

The angle of elevation of the building from A, we can apply the concept of trigonometry;

tan(θ) = opposite/adjacent

tan(θ) = height/180m

Since we're given that the angle of the top of the building is 45 degrees when the man is 180m away from point A, we can set up the equation:

tan(45°) = height/180m

The tangent of 45 degrees is 1, so the equation becomes:

1 = height/180m

Solving for the height:

height = 180m

Using the tangent of the angle;

tan(θ) = height/distance

tan(θ) = 180m/240m

Simplifying:

tan(θ) = 0.75

θ = tan⁻¹(0.75)

θ = 36.87 degrees

Therefore, the angle of elevation of the top of the building from point A is approximately 36.87 degrees.

Learn more on angle of elevation here;

https://brainly.com/question/27243378

#SPJ1

Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

Mean reversion refers to the tendency of asset prices or economic variables to move back to their average or mean level over time. The mean-reverting level, x1, for a time series can be calculated using statistical methods like moving averages or exponential smoothing. These techniques estimate the average value or trend of the data.



The interpretation of x1 depends on the context. If the current value is above x1, it suggests a potential future decrease, reverting back to x1. Conversely, if the current value is below x1, it indicates a potential future increase, also reverting back to x1. The deviation from x1 provides insights into the strength or speed of the mean reversion process.



Therefore, Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

To learn more about statistical click here

brainly.com/question/33214409

#SPJ11

Answer:

m = -27/13

Step-by-step explanation:

Given equation,

→ (2m - 27)/3 = 5m

Now the value of m will be,

→ (2m - 27)/3 = 5m

→ 2m - 27 = 5m × 3

→ 2m - 15m = 27

→ -13m = 27

→ [ m = -27/13 ]

Hence, value of m is -27/13.

The derivative of f(x) = x^2 ln(x) is given by f'(x) = 2x ln(x) + x.

To find the derivative of f(x), we can use the product rule, which states that if we have a function f(x) = g(x) * h(x), then the derivative of f(x) with respect to x is given by f'(x) = g'(x) * h(x) + g(x) * h'(x).

In this case, g(x) = x^2 and h(x) = ln(x). Applying the product rule, we have:

f'(x) = (2x * ln(x)) + (x * (1/x))

      = 2x ln(x) + 1.

Therefore, the derivative of f(x) = x^2 ln(x) is f'(x) = 2x ln(x) + x.

To find the derivative of f(x) = x^2 ln(x), we need to apply the product rule. The product rule is a rule in calculus used to differentiate the product of two functions.

Let's break down the function f(x) = x^2 ln(x) into two separate functions: g(x) = x^2 and h(x) = ln(x).

Now, we can differentiate each function separately. The derivative of g(x) = x^2 with respect to x is 2x, using the power rule of differentiation. The derivative of h(x) = ln(x) with respect to x is 1/x, using the derivative of the natural logarithm.

Applying the product rule, we have f'(x) = g'(x) * h(x) + g(x) * h'(x).

Substituting the derivatives we found, we get f'(x) = (2x * ln(x)) + (x * (1/x)). Simplifying the expression, we have f'(x) = 2x ln(x) + 1.

Therefore, the derivative of f(x) = x^2 ln(x) is f'(x) = 2x ln(x) + x.

Learn more about logarithm click here: brainly.com/question/30226560

#SPJ11

The probability density in position space for the state |(x, 0)⟩ in the infinite well is a sinc function with two peaks. The probability density can be greater than 1 because the state |(x, 0)⟩ is a superposition of two eigenstates of the Hamiltonian, and the probability density for a superposition of eigenstates can be greater than 1.

The probability density in position space for the state |(x, 0)⟩ is given by:

p(x) = |⟨x|(x, 0)⟩|^2 = |sin(x) + i sin(2x)|^2

This is a sinc function with two peaks, one at x = 0 and one at x = 0.5. The probability density can be greater than 1 because the state |(x, 0)⟩ is a superposition of two eigenstates of the Hamiltonian, |sin(x)⟩ and |sin(2x)⟩. The probability density for a superposition of eigenstates can be greater than 1 because the probability density for an eigenstate is 1, and the probability density for a superposition of eigenstates is the sum of the probability densities for the individual eigenstates.

The state |(x, 0)⟩ can be written as a superposition of the eigenstates of the Hamiltonian as follows:

|(x, 0)⟩ = |sin(x)⟩ + |sin(2x)⟩

The probability density for the state |(x, 0)⟩ is then the sum of the probability densities for the individual eigenstates:

p(x) = |⟨x|sin(x)⟩|^2 + |⟨x|sin(2x)⟩|^2

The probability density for |sin(x)⟩ is 1, and the probability density for |sin(2x)⟩ is 0.5, so the probability density for |(x, 0)⟩ is 1 + 0.5 = 1.5.

b)

The state |(x, t)⟩ at time t is given by:

|(x, t)⟩ = e^(-iHt/ℏ)|(x, 0)⟩

where H is the Hamiltonian of the system.

c)

The expectation value of the position operator at time t is given by:

⟨x(t)⟩ = ⟨(x, t)|x|(x, t)⟩

d)

The expectation value of the momentum operator at time t is given by:

⟨p(t)⟩ = ⟨(x, t)|p|(x, t)⟩

Ehrenfest's theorem states that the expectation values of the position and momentum operators obey the equations of motion for a classical particle. In this case, the equations of motion for a classical particle are:

dx/dt = p

dp/dt = -V'(x)

where V(x) is the potential energy of the particle.

The expectation values of the position and momentum operators satisfy these equations of motion. This is because the expectation values of the position and momentum operators are the average values of the position and momentum of the particle, and the average values of the position and momentum of the particle obey the equations of motion for a classical particle.

Learn more about probability here: brainly.com/question/31828911

#SPJ11

Answer:

Penelope is 14 years old.

Step-by-step explanation:

- Jaslin is 9 years old (since she'll be 12 in 3 years)

- So, you multiply 9 by 3 (since Penelope is 3 times Jaslin's age), which gives you 27.

- Then minus 13 from 27 (since we're solving for how old Penelope was 13 years ago), which gives you 14

Hope this helps!

Answer:

B. y = -2

Step-by-step explanation:

As you can see in the image below, when you put the 2 linear functions into desmos, they intersect at (0.5, -2).

This means they intersect at the y-value -2.

The restrictions for this equation are that y must be greater than or equal to 0, since the square root of a negative number is not a real number. So, the restrictions for this equation are y ≥ 0.

To solve the equation √y + 6 = 4, we first need to isolate the square root on one side of the equation. We can do this by subtracting 6 from both sides of the equation:
√y = 4 - 6
√y = -2

Now, we need to square both sides of the equation to get rid of the square root:
y = (-2)^2
y = 4

So, the solution to the equation is y = 4. However, we need to verify this solution by plugging it back into the original equation:
√(4) + 6 = 4
2 + 6 = 4
8 = 4

This is not true, so there are no solutions to the equation.

The restrictions for this equation are that y must be greater than or equal to 0, since the square root of a negative number is not a real number. So, the restrictions for this equation are y ≥ 0.

For more information about equation, visit:

https://brainly.com/question/22688504

#SPJ11

Answer:

994

Step-by-step explanation:

(8+t)^3 - 6

t = 2

(8+2)^3 - 6

add 8 and 2

(10)^3 - 6

evaluate exponent

1000 - 6

subtract

= 994

Answer:

994

Solving steps:

(8+2)^3-6

We begin by calculating the expression inside the parentheses.

(8+2)^3-6

(10)^3-6

Simplify exponents and square roots

10^3-6

1000-6

994

Answer: -4-6

Well its pretty straight forward

go from 0 to -4 then subtracting another 6 to get -10