There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?

Answer: 1/3

Step-by-step explanation: Using Radical Properties, Whenever we have two or more radical terms which are multiplied with same index, then we can put only one radical and multiply the terms inside the radical.

[tex]\sqrt{ \frac{5}{x^2} }\times \sqrt{ \frac{x^2}{45} }=\sqrt{ \frac{5x^2}{45x^2} }=\sqrt{ \frac{1}{9} }=\frac{1}{3}[/tex]

The expression √(5/x²).√(x²/45) is equivalent to 1/3.

An expression is combination of variables, numbers and operators.

The given expression is √(5/x²).√(x²/45)

Square root of five by x square times square root of x square by forty five

√(5/x²).√(x²/45)

√(5x²/45x²)

Cancel out the x² in the numerator and denominator

√(5/45)

Divide numerator and denominator by 5

√(1/9)

1/3

Hence,  the expression √(5/x²).√(x²/45) is equivalent to 1/3.

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Answer:

1400ft²

Step-by-step explanation:

Given

Room Dimension: 20 ft by 25 ft by 10 ft

Where Length = 20 ft

Width = 25 ft

Height = 10 ft

Required

Surface area of painted walls and ceiling

We'll assume that the room is rectangular in shape and all 4 sides are covered.

This means that Mickey will paint 4 walls and 1 ceiling.

The dimension of the 2 of the 4  walls is as follows;

20ft by 10ft, 25ft by 10ft,

Because opposite sides of a rectangle are equal, the dimension of the remaining 2 walls is: 20ft by 10ft, 25ft by 10ft

Calculating the area of the 4 walls;

[tex]Area = 20ft * 10ft + 25ft * 10ft + 20ft * 10ft + 25ft * 10ft[/tex]

[tex]Area = 200ft^2 + 250ft^2 + 200ft^2 + 250ft^2[/tex]

[tex]Area = 900ft^2[/tex]

The dimension of the ceiling is as follows:

20ft by 25ft

Calculating the area of the ceiling

[tex]Area = 20ft * 25ft[/tex]

[tex]Area = 500ft^2[/tex]

So, the area Micky will cover = Area of 4 walls + Area of ceiling

Total Surface Area [tex]= 900ft^2 +500ft^2[/tex]

Total Surface Area = [tex]1400ft^2[/tex]

Hence, Micky will cover 1400ft²

Answer:

2x^2 +4x -4

Step-by-step explanation:

(2x^2 - 2x) + (6x - 4)

Combine like terms

2x^2 +6x-2x -4

2x^2 +4x -4

Answer:

x > - 1.1

All values that are more than - 1.1.

Step-by-step explanation:

4(2 – x) > –2x – 3(4x + 1)

8 - 4x > - 2x - 12x - 3

8 - 4x > - 14x - 3

8 - 4x + 14x > - 14x+ 14x - 3

8- 8 + 10x > - 3 - 8

10x > - 11

x > - 1.1

All values that are more than - 1.1.

Answer:

1.1

Step-by-step explanation:

The exponential function represented on the graph is f(x) = (1/3)[tex].^x[/tex]. The correct option is B.

The mathematical expression f(x)=exp or e^x denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given graph is representing the exponential function f(x) = (1/3)[tex].^x[/tex] The graph is attached with the answer below. The graph is showing the inverse fraction of ( 1/3).

Therefore, the exponential function represented on the graph is f(x) = (1/3)[tex].^x[/tex]. The correct option is B.

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Answer:

They have the same domain and range

Step-by-step explanation:

Although they are different equations, they both have a domain of

[0,∞)

and a range of

[0,∞)

ANSWER:

:2/5 * 560 = D) 224

Step-by-step explanation:

Therefore,

(x+20) + (x-10) + (2x-30) = 180° (Sum of interior angles of a triangle)

Or, x+x+2x+20-10-30 = 180°

Or, 4x-20 = 180°

Or, 4x= 180+20

Or, 4x= 200°

Or, x= 200°/4

Therefore, x= 50°

So,

(x+20)

= 50+20

=70°

(x-10)

= 50-10

40°

(2x-30)

= 2×50-30

=100-30

=70°

Hope it helped, If it did, please mark it as the brainliest answer :)

Answer:

[tex]C=31.42[/tex]

[tex]A=78.55[/tex]

Step-by-step explanation:

[tex]C=2\pi r[/tex]

[tex]C=2 \times 3.142 \times 5[/tex]

[tex]C=31.42[/tex]

[tex]A=\pi r^{2}[/tex]

[tex]A=3.142 \times 5^{2}[/tex]

[tex]A=3.142 \times 25[/tex]

[tex]A=78.55[/tex]

Answer:

1) Reflection in the x-axis

A' = (-2, -3)

2) Rotation of 180° clockwise about the origin

A'' = (2, 3)

3) Translation of 3 units down and 4 units to the right

A''' = (6, 0)

Step-by-step explanation:

The transformations are as follows;

1) Reflection in the x-axis

Here the x-coordinate is the same and the y-coordinate changes sign.

Therefore, we have;

A (-2, 3)

After reflection in the x-axis becomes A' = (-2, -3)

2) Rotation of 180° clockwise about the origin

When, a point (x, y) is rotated 180° clockwise about the origin, it becomes (-x, -y)

Therefore, we have;

A' = (-2, -3) becomes A'' = (2, 3)

3) Translation of 3 units down and 4 units to the right

Translation of 3 units down and 4 units to the right = [tex]T_{(4, -3)[/tex]

Which gives

A''' = (2 + 4, 3 - 3) = (6, 0).

Answer:

yx

​2

​​ −3y

​2

​​ +3x

​2

​​ +27

Step-by-step explanation:

Answer:

25 percent

Step-by-step explanation:

Total months: 12

Months read more than three books: 3

3/12=25 percent

Answer:

1/4 = 25%.

Step-by-step explanation:

To figure out the percent of months in which she read more than 3 books, we need to figure out how many times she read more than 3 books.

According to the table, she read more than 3 books exactly 3 times: 4, 5, 5.

We also know that there is a total of 12 months. Out of the 12 total months, she read more than 3 books 3 times. So we can say that:

3/12 = 1/4 = 25% of the months she read more than 3 books.

I hope this helps!

Answer:

27

Step-by-step explanation:

he started by cutting one log into 3

1×3=3

then cutting each of those into 3

3×3=9

then again

9×3=27

Answer:

a.114.4kg

b. 486kg

Step-by-step explanation:

Firstly , we want to know the value with which the apples weigh more than the oranges

To calculate this, we simply subtract the weight of the oranges from that of the apple

Mathematically, that would be ;

300.2-185.8 = 114.4kg

The total weight of the things bought is calculated by adding both weights together

That would be 185.8 + 300.2 = 486 kg

Answer:3

Step-by-step explanation:

Answer:

[tex]2x^2-x+3[/tex]

Step-by-step explanation:

So just divide the areas by the length:

[tex]2x^2-x+3[/tex]

And that is your width.

Answer:

iddk

Step-by-step explanation:

Answer:

1.Corresponding angles theorem

2.Linear postulate

3.By the definition of supplementary angles

Step-by-step explanation:

We are given that  

[tex]w\parallel x \ and \ y[/tex] is a transversal.

We have to prove [tex]\angle 3[/tex] and [tex]\angle 5[/tex] are supplementary

Proof:

1.Given that [tex]w\parallel x \ and \ y[/tex] is a transversal.

We know that [tex]\angle 1\cong \angle 5[/tex]

Reason:Corresponding angles theorem

Therefore, [tex]m\angle 1=m\angle 5[/tex]

by the definition of congruent.We also know that, by definition, angle 3 and angle 1 are a linear pair.

Therefore, they are supplementary by linear pair postulate

By the definition of supplementary angles

[tex]m\angle 3+m\angle 1=180^{\circ}[/tex]

Now, we can substitute [tex]m\angle 5=m\angle 1[/tex]

Then, we get

[tex]\m\angle 3+m\angle 5=180^{\circ}[/tex]

Therefore, by the definition of supplementary angles,angle 3 and angle 5 are supplementary

Answer:

1. Corresponding angles theorem

2. Linear pair postulate

3. Definition of supplementary angles

Answer:

1900 copies sold to date

Step-by-step explanation:

you need to find the value of 6.2% of 32100

To do this:

6.2  ÷  100

= 0.062

0.062 x 32100

= 1990.2

However, it's not possible to have .2 of a copy, so your round down

The answer is 1900 copies.

Hope it helped :)

Answer:

15 inches

Step-by-step explanation:

We can solve this problem using the Pythagorean theorem. The formula is:

[tex]a^{2} + b^{2} = c^{2}[/tex]

where 'c' is the hypotenuse (the longest side) and 'a' and 'b' are the legs (the other sides).

First, draw a diagram for the problem. (See the photo attached below)

We know the other leg is 8 and the hypotenuse is 17. 'a' is the missing side.

a = ?

b = 8

c = 17

Substitute the values into the equation.

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]a^{2} + 8^{2} = 17^{2}[/tex]

Rearrange to isolate 'a'

[tex]a^{2} = 17^{2} - 8^{2}\\[/tex]               Square root both sides

[tex]a = \sqrt{17^{2} - 8^{2}}[/tex]             Square each number

[tex]a = \sqrt{289-64}[/tex]             Subtract under the root

[tex]a = \sqrt{225}[/tex]                     Find the square root

[tex]a =15[/tex]                          Final answer

Therefore, the TV is 15 inches tall.

Answer:

(x,y)  --->  (x - 3, y + 5).

Step-by-step explanation:

The x coordinates are moved 3 to the left (negative) and the y coordinates are moved 5 units up (positive y).

it's A) (x,y) → (X-3, y + 5) on edge 2020

Answer:

Step-by-step explanation:

Hola!

Las variables aleatorias pueden Cualitativas o cuantitativas.

Las variables aleatorias cualitativas son aquellas que se refieren a atributos o características de los individuos o unidades de interés que no son cuantificables. Dentro de estas variables se pueden identificar dos tipos:

Ordinales: estas variables representan cierto tipo de cualidad que tiene un orden natural, por ejemplo: Opinión de una persona sobre una película de estreno, calificada en "muy buena", "buena", "regular", "mala", "muy mala"

Estas calificaciones son claramente cualidades, pero tienen un orden, todo el mundo sabe que una calificación "regular" es mejor que una "muy mala" y a su vez peor que una calificación "buena"

Nominales: Son aquellas que indican atributos no cuantificables que no tienen un orden natural. Por ejemplo, color de cabello, raza, sexo.  

Las variables aleatorias cuantitativas son aquellas que registran valores numéricos, dicho de manera coloquial: "cuentan cosas". Estas variables siempre toman valores dentro de un rango o intervalo de definición, teniendo esto en cuenta podemos definir dos tipos de variables aleatorias cuantitativas:

Continuas: pueden tomar cualquier valor dentro del intervalo de definición de la variable, por ejemplo, la estatura, el peso, la temperatura, entre un valor y otro existen infinita cantidad de valores que la variable puede tomar. En muchos casos, esto está restringido a la precisión de los métodos utilizados para tomar las mediciones.  

Por ejemplo, una balanza puede tomar pesos de kilogramo a kilogramo, ej: 20kg, 21kg, 22kg mientras que una más precisa puede tomar pesos intermedios de los mismos objetos, ej: 20.1kg, 21.5kg, 22.9kg y otra más precisa puede indicar mediciones más exactas, ej: 20.142kg, 21.538kg, 22.973kg es decir que, cuanto más precisa la balanza que usemos para obtener las mediciones, mayor será la gama de valores que puede tomar la variable.

Discretas: solo pueden tomar ciertos valores dentro del intervalo de definición de la variable aleatoria, a diferencia de las variables continuas, entre los valores posibles que pueden tomar estas variables, no se encuentra nada, es decir que "saltan" de valor en valor. Por esto también se las llama variables discontinuas.

Uno de los ejemplos más comunes de variable discreta es hacer rodar un dado de 6 caras, la variable puede tomar valores 1, 2, 3, 4, 5, 6 pero no puede tomar valores entre esos valores, es decir, el dado nunca va a mostrar valores intermedios como "2.5" o "3.3".

Dicho esto pasemos a identificar el tipo de cada ejemplo:

a) y c) Calidad del producto

Esta es algo engañosa, porque todo depende de la escala determinada para medir la calidad.

Es decir, si la escala de medición de la calidad de un objeto es de 0 a 10, siendo cero lo peor y 10 lo mejor, entonces la variable es cuantitativa discreta.

Sin embargo, si la escala es nominal, por ejemplo: Alto, medio, bajo, entonces la variable es cualitativa y como las categorías tienen un orden natural, no solo es cualitativa, sino que también es ordinal.

b) y d) Tiempo de publicidad

Esta variable aleatoria "cuenta el tiempo", toma valores numéricos con lo cual es cuantitativa y, además, puede tomar cualquier valor dentro del intervalo de definición, todo depende de la precisión del reloj utilizado lo que la califica como variable continua.

Espero que tengas un buen días!

Answer:

14

Step-by-step explanation:

5x = 70

x = 14

Answer:

The answer is option 1.

Step-by-step explanation:

Given that total angles in a quadrilateral is 360°. So in order to find x, you have to substract the remaining angles from 360° :

[tex]5x + 110 + 110 + 70 = 360[/tex]

[tex]5x + 290 = 360[/tex]

[tex]5x = 360 - 290[/tex]

[tex]5x = 70[/tex]

[tex]x = 70 \div 5[/tex]

[tex]x = 14[/tex]

Answer:50%

Step-by-step explanation:

Answer:

The answer is 50%

Step-by-step explanation:

Answer:

I couldn't understand your question, please send once more

Answer: GCF = 3

~~~~~~~~~~~~

Hope this helps!

Answer:

20 days.

Step-by-step explanation:

In this case we must make an inverse proportionality rule, it is inverse because the fewer people there are, the more days must survive. In other words, we know that 2000 people can resist for 15 days, now, if there are no longer 2000 people, but 500 less, that is, 1500 (2000 - 500) how many days can they resist.

people    days

 2000       15

 1500         x

x = 2000 * 15/1500

x = 20

That is, they could last 20 days.

Answer:

14

Step-by-step explanation:

Its pretty simple. You just have to multiply 7 and 2 to get the product of 14. Hopw this helps

Answer:

14 liters every week.

Step-by-step explanation:

There are 7 days in a week.

If he drank 2 liter every day, you could solve this the following ways...

2+2+2+2+2+2+2=14 because 2 liter every day for 7 days

7 x 2  because there are 7 days in a week, and he drank 2 liters a day, so 7 x 2 would work.

7 + 7 would also work.

Your welcome.

I really hope I helped.

Can I plz have brainliest please?

Answer:

50

Step-by-step explanation:

So say the bill is x.

18% of x = 0.18x

0.18x = 9

x = 50

Answer:

it is 50

Step-by-step explanation:

you have to do 9 x 10/18

Answer:

A =12.92 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A = 1/2 ( 7.6) ( 3.4)

A =12.92 cm^2

Answer:

[tex] = 12.92 {cm}^{2} [/tex]

Step-by-step explanation:

[tex]area = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 7.6 \times 3.4 \\ = \frac{25.84}{2} \\ = 12.92 {cm}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: not clear

Step-by-step explanation: