a box contains six green dice, three red dice and three white dice. a die is selected at random from the box. the die's colour is noted and it is not replaced. this experiment is repeated four times. find the probability that a green die is selected fewer than three times.

The surface area of the figure for the given condition is 391.2 cm²

The pentahedron Triangular Prism contains nine different nets. The bases' vertices and edges are connected by means of their three rectangular sides. The rectangular sides of the triangular prism are joined to one another side by side.

Given the triangular prism,

which consist of two triangles and  3 rectangles,

the surface area of the figure is the sum of the area of  triangles and  3 rectangles,

given sides of triangle is 6cm x 6cm x 6cm

area of equilateral triangle = √3/4(a²)

area of equilateral triangle = 6²*(√3/4)

area of equilateral triangle = 15.6 cm²

and dimensions of the rectangle is 6cm x 20 cm

area of rectangle = l x b

area of rectangle = 6*20

area of rectangle = 120 cm²

area of shape = 2(area of triangle) + 3(area of rectangle)

area of shape = 2*15.6 + 3*120

area of shape = 31.2 + 360

area of shape = 391.2 cm²

Hence the area is 391.2 cm².

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Answer:

(5x-7)(5x+7)

Step-by-step explanation:

[tex]25x^2-49\\=(5x)^2-(7)^2\\=(5x-7)(5x+7)[/tex]

Remember that the difference of squares formula is [tex]a^2-b^2=(a-b)(a+b)[/tex].

Answer:

(5x-7) x (5x+7)

Step-by-step explanation:

25x^2- 49

5^2 x 2^2 - 49

5^2 x 2^2 -7^2

(5x)^2 -7^2

(5x-7) x (5x+7)

The coordinates of the orthocenter of AFGH are approximately (1.9, 2.2).

The orthocenter of triangle AFGH can be found by the intersection of the altitudes from vertices A, B, and C. The equations of the altitudes from vertices F and H can be found by finding the slopes of the lines and plugging in the x and y coordinates of the vertices.

The equation of the altitude from vertex G can then be found by finding the slope perpendicular to the first two lines and plugging in the x and y coordinates of vertex G. The point of intersection of these three lines is the orthocenter of triangle AFGH.

The coordinates of the orthocenter of AFGH are approximately (1.9, 2.2).

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The mean of p , g and r is given by the equation M = 12

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of p , g and r be represented as M

Now , the mean of p and g = 13

So , ( p + g ) / 2 = 13

On simplifying the equation , we get

p + g = 26   be equation (1)

And , the mean of g and r = 16

So , ( g + r ) / 2 = 16

On simplifying the equation , we get

g + r = 32   be equation (2)

And , the mean of r and p = 7

So , ( r + p ) / 2 = 7

On simplifying the equation , we get

r + p = 14   be equation (3)

Adding equation (1) , (2) and (3) , we get

2 ( p + g + r ) = 26 + 32 + 14

And , divide both sides of the equation by 2 , we get

p + g + r = 72/2 = 36

Now , the mean of p , g and r is

M = ( p + g + r ) / 3

On simplifying the equation , we get

M = 36/3

M = 12

Hence , the mean is M = 12

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In correlational and experimental study designs, a key requirement for a sample is that population whom the researchers are investigation

A sample is a portion of a larger population that is selected to represent the entire group. In both correlational and experimental study designs, a key requirement for a sample is that it should be representative of the population it is meant to represent.

In a correlational study design, the goal is to examine the relationship between two or more variables. The sample must be representative of the population to ensure that the correlation calculated from the sample is representative of the correlation that exists in the population.

If the sample is not representative, the correlation calculated from the sample may be different from the correlation that exists in the population, leading to incorrect conclusions.

In an experimental study design, the goal is to test a causal relationship between two or more variables.

The sample must be representative of the population to ensure that the results of the experiment are generalizable to the population.

If the sample is not representative, the results of the experiment may not be generalizable to the population, leading to incorrect conclusions.

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Answer:

The unit rate for Scented candles is 1/2(or 4/8) inches per hour.

The unit rate for unscented candles is 1/3(or 3/9) inches per hour

The scented candles burn more/faster per hour.

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

scented rate = 1/8 inch / 1/4 hr = 1/8 * 4/1 = 4/8 = 1/2 inch per hour

unscented rate 1/9 in / 1/3 hr  = 1/3 inch per hour    

scented burns more per hour because   1/2 > 1/3 in

Edited....I had the candles backwards

El número de amigos que reciben 2/7 de la pizza es de 7 personas.

Por cierto dividimos 2 pizzas con 2/7 = 2 : 2/7 = 7 personas

Las comparaciones en matemáticas también pueden denominarse proporciones.

Entonces, ¿qué es una comparación o razón?

La comparación (razón) es una técnica o forma de comparar dos cantidades.

Escribir proporciones o comparaciones se puede escribir como a : b o a/b donde a y b son dos cantidades que tienen las mismas unidades.

A continuación se explicarán ejemplos de aplicación de comparaciones en la vida cotidiana.

Comparaciones en la vida cotidiana

Hay muchas aplicaciones de la comparación en la vida cotidiana. Escribir la escala en un mapa es una aplicación de la comparación.

Luego, cuando vamos a hacer pan suele haber una mezcla de masa de harina de trigo y harina de tapioca.

Por ejemplo, la proporción es de 2:1, lo que significa que para hacer el pan necesitas 2 partes de harina de trigo y 1 parte de harina de tapioca.

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Answer:

[tex]\huge\boxed{\sf Price\ of\ carbon\ filter = \$11.75}[/tex]

Step-by-step explanation:

Given that,

3 water pumps = $26.25

Using unitary method

3/3 water pumps = $26.25/3

From the question,

The price of 1 water pump and one carbon filter equal $20.50.

So,

Price of carbon filter = $20.50 - Price of 1 water pump

Price of carbon filter = $20.50 - $8.75

[tex]\rule[225]{225}{2}[/tex]

Answer:

164.53125%

Step-by-step explanation:

105.3 is 164.53100% of 64

Answer:

Step-by-step explanation:

we solve with a proportion

105.3 : 64 = x : 100

x = 105.3 × 100 ÷ 64

x = 164.53125%

The correct answer is B) an equation of the best-fit line of data can be used to estimate untested values.

The equation of the best-fit line of data can be calculated by determining the slope (m) and the y-intercept (b) of the line. It is calculated by using the linear regression equation: y = mx + b, where m is the slope and b is the y-intercept. The slope is determined by the equation: m = (Σxy)/(Σx2). The y-intercept is determined by the equation: b = (Σy - mΣx)/n. Once these values are determined, it is possible to estimate untested values with the equation of the best-fit line. For example, if we have a graph with data points (2, 3) and (4, 7), the equation of the best-fit line would be y = 2x + 1. This equation can be used to estimate the value of y when x = 6; in this case, y = 11.

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Number of triangles are 24.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

What is the area of the triangle?

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

Given;

Five line segments are drawn in a triangle as shown

Now, to find the total number of triangles we will number each of the enclosed section in the triangle horizontally.

Line segment 1= 1 2 3

Line segment 2= 1 2 3

Line segment 3= 1 2 3

Line segment 4= 1 2 3

by addition

=6+6+6+6

=24

Therefore, the total triangles in figure will be 24.

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Volume of sphere is 288π mm³.

Volume is defined as a capacity occupied by a three-dimensional solid shape. In any shape, it is hard to visualize but can be compared between shapes.

Given,

Radius of sphere r = 6 mm

Volume of sphere

= (4/3)πr³

= (4/3)π×6³

= (4/3)π×6×6×6

= 4π×2×6×6

= 288π mm³

Hence, 288π mm³ is volume of sphere.

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The probability of rolling two sixes is 1/25.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given, the probability of rolling a 6 on a biased dice is 1/5.

Since the probability of rolling a six on the first roll is 1/5, then probability of not rolling a six on first roll is;

P(not 6) = 1 - 1/5

P(not 6) = 4/5

A) Please find attached the completed tree diagram

B) First Roll:

P(6) = 1/5

P(not 6) = 4/5

Second Roll:

Now,

P(6 | 6) = 1/5 × 1/5

= 1/25

P(6 | not 6) = 1/5 × 4/5

= 4/25

So, P(not 6 | 6) = 4/5 × 1/5

= 4/25

P(not 6 | not 6) = 4/5 × 4/5

= 16/25

Therefore, the probability of rolling two sixes is 1/25.

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"Your question is incomplete, probably the complete question/missing part is:"

The probability of rolling a 6 on a biased dice is 1/5

1) complete the tree diagram.

2) Work out the probability of rolling two sixes.

The required probability for the given table are as follow :

a. Probability of someone from US = 0.5089

b. Probability of someone has at least 2 children = 0.4196

c. Probability of someone from US and has one child = 0.125.

Total number of children is equal to 112

Probability = Favourable outcome / ( total number of outcome )

a. Number of children representing someone from US = 57

Probability of someone from US = 57 / 112

                                                      = 0.5089

b. Favourable outcome representing someone has at least 2 children is

= P (2) + P(3)

= ( 18 + 11 )/ 112 + (8 + 10 )/ 112

= (29 + 18) / 112

= 47/112

= 0.4196

c. From US and has one child :

Favourable outcome = 14

Probability of someone from US and has one child

= 14 / 112

= 0.125

Therefore, the probability of the different conditions are :

a. Probability from US = 0.5089

b. Probability of at least 2 children = 0.4196

c. Probability from US and one child = 0.125

The above question is incomplete, the complete question is:

For the table given below answer the following question:

Children         :   0                  1            2           3 or more            Total

From US         :  17                 14         18               8                         57

Outside US     : 15                  19         11               10                        55

Total                :  32                33         28              18                       112

a. What is the probability that someone is from the US?

b. what is the probability that someone has at least 2 children?

c. what is the probability that someone is from the US and has one child?

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3p + 5(2q + p) + 3p - 6q}\\\mathsf{= 3p + 5(2q) + 5(p) + 3p - 6q}}\\\mathsf{= 3p + 10q + 5p + 3p - 6q}\\\large\textbf{COMBINE the LIKE TERMS}\\\mathsf{= (3p + 5p + 3p) + (10q - 6q)}\\\mathsf{= 3p + 5p + 3p \bold{+} 10q - 6q}\\\mathsf{= 8p + 3p + 4q}\\\mathsf{= 11p + 4q}\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{11p + 4q}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

The transformation f(x)↦f(-x) , the graph of f(x) reflects it across the y-axis

Step-by-step explanation:

The statement " data analytics often use samples rather than the full population of transactions." is False. So, option b is correct.

Option "a)" explains how data analytics can be used to test internal controls that are designed to prevent or detect fraud. These controls include processes and procedures that are put in place to ensure the accuracy and reliability of financial information and to detect any irregularities that may indicate fraud.

Option "c)" highlights how data analytics can detect small frauds before they become material. This is because data analytics can identify unusual patterns of behavior that may be indicative of fraud, even if the amounts involved are relatively small.

Option "d)" is incorrect because it states that all of the above options are ways data analytics are useful for detecting fraud. This is not entirely accurate because option "b" states that data analytics often use samples rather than the full population of transactions, which is not necessarily a beneficial aspect for detecting fraud.

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a) The inequality that models this situation is given as follows: 24x ≤ 250.

b) The solution to the inequality is given as follows: x ≤ 10.41.

c) The number of baseballs that can be purchased is of at most 10.

A direct proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

As the cost of each baseball is of $24, the constant is given as follows:

k = 24.

The equation giving the total cost of purchasing x baseballs is given as follows:

y = 24x.

The budget to spend is of $250, hence the inequality is given as follows:

24x ≤ 250.

The solution is given as follows:

x ≤ 250/24

x ≤  10.41.

As the number of baseballs is a countable amount, at most 10 baseballs can be purchased, rounding down the amount.

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Answer:

x=5

y=5

Step-by-step explanation:

y-2=3

3x-2y=5

Let's solve for y in the first equation.

y-2=3

Add 2 to both sides,

y=5

Let's substitute y=5 into the other equation.

3x-2y=5

3x-2*5=5

3x-10=5

Add 10 to both sides,

3x=15

Divide by 5 to both sides,

x=5

Therefore, x and y both equal 5.

The different sides of the showcase are comparable in that the two of them have a greater part of perceptions in the scope of 5 to 9 MPa.

The different sides of the showcase seem to have comparable dispersion designs, with most of perceptions falling inside the 5 to 9 MPa range. This proposes that there might be some hidden element that is making the qualities on the two sides be packed here, conceivably a typical estimation or handling technique.

Nonetheless, without additional data about the information and what it addresses, it is challenging to say for specific what may be driving this likeness. In any case, the comparative conveyance examples of the two arrangements of information are significant and investigating further.

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139.2 cm² is the surface area, in cm², of the figure.

The surface area of a three dimensional shape is the total area of all of the faces. The surface area of a solid object is a measure of the total area that the surface of the object occupies.

here, we have,

The surface area of given figure = 3×Area of rectangle + 2×area of triangle base.

so, we get,

Surface area = 3×6×6+2×15.6

Surface area = 139.2 cm²

Hence, 139.2 cm² is the surface area, in cm², of the figure.

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The solution to the algebraic expression (2x-3)(6x-5) after you combine your like terms is 12x² - 28x + 15

(2x-3)(6x-5)

open parenthesis

12x² - 10x - 18x + 15

collect like terms

12x² - 28x + 15

Hence, 12x² - 28x + 15 is the solution to the algebraic expression (2x-3)(6x-5)

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The statement that is true about the number of hours of daylight is: "the number of hours of daylight varies depending on the latitude of the observer."

Hence, option (a) is the correct choice.

Day length will be roughly 12 hours at latitude 0° (the Equator). The Equator region has a steady 12 hour day light all year.

Day duration can be observed to extend to 24 hours or reduce to zero if latitude increases to 80° (polar circles - north or south) (depending on time of year).

The quantity of daylight received by an observer is determined by their latitude and the season.

The number of hours of daylight changes the greatest near the equator, whereas it varies the least towards higher latitudes.

The number of daylight hours covers the hours between dawn and twilight as well as the hours from sunrise to sunset.

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Answer:

your pattern is multiply by 23 and your missing number is 322

By SSS congruent theorem, triangle DEF is congruent to triangle FGD.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

In triangle DEF and triangle FGD;

⇒ DE ≈ FG

⇒ EF ≈ GD

Now, In In triangle DEF and triangle FGD;

⇒ DF is a common side

⇒ DF ≈ DF

Hence, By SSS congruent theorem, triangle DEF is congruent to triangle FGD.

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The least amount that the company would have to accept as their monthly revenue is A. $43,500.

From the amount that the streaming service is able to charge and the margin of error, we would calculate this as:

The monthly charge - margin of error

= 45 - 1.5

= 43.5 dollars

From here we have to multiply the amount by the people that signed for the service

43.5 * 1000

= A. $43,500

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[tex]\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{11\pi }{6}\\[1em] r=18 \end{cases}\implies s=18\cdot \cfrac{11\pi }{6}\implies s=33\pi \implies s\approx 104~cm[/tex]