List the sample space for rolling a fair 12-sided die.

S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
S = {1}
S = {12}

The direction of rotation used to create the image is 90°  counterclockwise rotation. To determine the direction and degree of rotation used to create the image, we can compare the positions of the vertices of the original triangle ABC with the corresponding vertices of the image triangle A' B' C'.

Let's analyze the changes in the coordinates of the vertices.

Original Triangle ABC:

A(-4, -4)

B(3, -3)

C(0, -10)

Image Triangle A' B' C':

A'(4, -4)

B'(3, 3)

C'(10, 0)

By comparing the coordinates, we can observe that the image triangle has undergone a 90° counterclockwise rotation.

To determine this, we can focus on a single vertex, such as A. The original point A(-4, -4) has been rotated counterclockwise by 90° to its new position A'(4, -4). This rotation is evident in the change of sign for the y-coordinate (-4 to -4) and the swapping of the x-coordinate (-4 to 4). This pattern is consistent across all three vertices.

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Answer:

Counterclockwise rotation of 90° about the origin

Answer:

$42

Step-by-step explanation:

less than 8 is supposed to be 7 or less 6×7=$42

Answer:

a.. rs 7000

Because 15×1000=15000 it is SP when selling 1000units in the rate of Rs 15/unit& 8×1000=8000 this is cp when buying 1000 units in the rate of Rs 8/unit.

So,by formula of profit,

Rs (15000-8000)=Rs7000

The height of the cylinder whose surface area is given would be = 85 yards.

The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.

To calculate the height of a cylinder, the formula that should be used is given as follows:

Surface area of cylinder = 2πrh + 2πr²

radius = 29 yards

surface area = 20,761.68 square yards

height = ?

That is ;

20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29

20,761.68 =182.12h + 5281.48

182.12h = 20,761.68-5281.48

182.12h = 15480.2

h = 15480.2/182.12

= 85 yards

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no solution,

48x+43=47x+43

     -43         -43

48x=47x

if x= 1

48 is not equal to 1

B

Answer:

B

Step-by-step explanation:

It's impossible to let these 2 equation have same answer!

Answer:

500

hope this helps

Answer:

0.2637

Step-by-step explanation:

Population size is top 15 ranking restaurants.

Number of draws = 3

Number of observed successes = 5

Probability formula :  [r . x } { n -r] [n - x]

solving the equation we get 24 / 91 which is approximately 0.2637

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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Answer:

Step-by-step explanation:

DO YOU MEAN :

\(4x + 5y = 7\\ 3x - 2y = -12\\Multiply-equation 1 -by -the-coefficient-of-x-in-equation-2\\multiply-equation-2 -by-the-co-efficient -of x -in-equation- 1\\\\3(4x + 5y = 7)\\4( 3x - 2y = -12)\\\\12x +15y=21\\12x -8y=-48\)

The domain of function A and function B are compared by the statement of Option A: The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1.

What is a function?

A function is a fundamental concept in mathematics that relates a set of inputs (also known as the domain) to a corresponding set of outputs (sometimes referred to as the codomain). For each input, there exists exactly one output, and the output can be linked to its corresponding input in a unique manner.

The domain of a function refers to the set of all possible input values for which the function can produce an output.

In Function A, the domain consists of all real numbers greater than 0, since it is a logarithmic function that can take any positive number as an input.

In contrast, the domain of Function B includes all real numbers greater than or equal to 1, since it is a square root function that begins at (1,0) and continues to infinity.

This means that any number greater than or equal to 1 can be used as an input to produce a corresponding output.

It is essential to define the domain of a function accurately to ensure that the function is well-defined and to avoid potential errors or ambiguities in mathematical computations.

Therefore, the correct statement is A.

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I don't really get what you mean

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Answer:

Some vocabulary we should know:

mx = slope while b is the y-intercept.

-3x = x

6y = y

BRAINLIEST is APPRECIATED. This is based on speculation! Good luck in your future studies.

- daintysword

Answer:

x + 3y – 2z = 8

-x – 2y + z = 12

2x – 7y + z =7

this answer is fake

Step-by-step explanation:

x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.

We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:

r² = x² + y²

r² = (-3)² + 4²

r² = 9 + 16

r² = 25

r = 5

Now we can find the values of sin θ, csc θ, and cot θ:

sin θ = y/r = 4/5

csc θ = r/y = 5/4

cot θ = x/y = -3/4

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.

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The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24

Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.

Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9

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Answer:

7/5

Step-by-step explanation:

Answer:

7/5

Step-by-step explanation:

..........................

=>12x-15=6-3x

=>12x+3x=6+15

=>15x=21

=>x=21/15

=>x=7/5

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Usando la distribución hipergeométrica,  la probabilidad de que los alumnos del colegio A obtengan los dos premios (no hay empates), es: 0.2 = 20%.

La fórmula es:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Los parámetros son:

Los valores de los parámetros son:

N = 6, k = 3, n = 2.

La probabilidad de que los alumnos del colegio A obtengan los dos premios (no hay empates), es P(X = 2), por eso:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 2) = h(2,6,2,3) = \frac{C_{3,2}C_{3,0}}{C_{6,2}} = 0.2\)

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Answer:

-5

Step-by-step explanation:

The formula for the axis of symmetry is -b/2a

Substitute the values into the formula: -(10)/2(1)

Now we get -10/2

This simplifies to x= -5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y = \(\frac{1}{2}\) x - 5 ← equation of parallel line

Answer: False I'm pretty sure

Step-by-step explanation:

Answer:

FALSE

Step-by-step explanation:

If you are an expert in your field, the purpose of your presentation will have to be changed, it can't be same for all types of presentations.

Answer:

\(1) \frac{37.5}{100} \)

\(2) \frac{9}{40} \times 100 = 22.5 \% \)

\(3) \frac{7}{10} \times 100 = 70\%\)

\(4) \frac{7}{8} \times 100 = 87.5\%\)

\(5) \frac{12}{25} \times 100 = 48\%\)

Answer:

B

Step-by-step explanation:

3 1/5 x 7/1

(3 x 5) + 1 = 16/5

16/5 x 7/1 = 112/5.

112 ÷ 5 = 22 2/5

so its B.

Answer:

22 2/5, twenty two and two fifths, B.

Step-by-step explanation:

7 * 3 1/5

To make it simpler, convert 3 1/5 into a mixed number.

3 1/5 = 15/5 + 1/5 = 16/5

Now, it's 7 * 16/5

Next, to prevent confusion, convert 7 to a mixed fraction as well.

7 = 7/1 (also known as a rational number.)

now it's 7/1 * 16/5

Simply multiply 7 * 16 and 1 * 5, which results in

112/5

The answer is a mixed number, and you want to simplify it as much as possible,

112/5 is 5 going into 112 with it's highest factor.

5*22 is 110, which is the highest factor that can go into 112.

now 22 can be the whole number, and the remaining numbers in the part over whole fraction stays put. Basically, you subtract the numerator of the mixed number with the highest factor that the denominator can fit into the numerator. (112-110 = 2)

So, the answer is 22 2/5, B. (cannot be further simplified.)

Answer

9 movies

Step-by-step explanation:

$25 - 38.50 = $13.50

13.50/ $1.50 = 9

Answer:

8-1/2x

Step-by-step explanation:

8 1/3 = 25/3

25/3 - 1/2x - 1/3

25/3 - 1/3 - 1/2x

24/3 - 1/2x

8 - 1/2x

Final Answer: 8 - 1/2x

Answer:

The mean number of customers that will arrive in a five-minute period is 2.

Step-by-step explanation:

a. What is the mean or expected number of customers that will arrive in a five-minute period

For one minute, the mean is of 0.4 customers.

So, using proportions, for 5 minutes, the mean is of 5*0.4 = 2 customers.

The mean number of customers that will arrive in a five-minute period is 2.

We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.

The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.

When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.

We can deduce that the values are being repeated at regular interval of four (4).

For the amplitude:

\(Amplitude: \frac{140 - 74}{2}\)

Amplitude = 33 ≈ 30.

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Answer: 3

Step-by-step explanation:

To find the slope you have to divide y over x: y/x or most commonly known as rise/run.

We start at the point where the line is touching a point, in this case it's -8 in the y axis.

Then we count up until we find another point that the blue line is touching. In this case at the coordinates (2, -2). So there's 6 values up from -8 and we have to move to the right 2 values to reach the point the blue line is touching.

So we use the formula rise/run or y/x:

6/2 = 3

This is very hard to explain in just text! I hope you understand