WHAT IS THE VOLUME OF THE CUBE

PLEASE SHOW STEP BY STEP HOW TOU GET THE ANSWER

WHAT IS THE VOLUME OF THE CUBE PLEASE SHOW STEP BY STEP HOW TOU GET THE ANSWER

Answers

Answer 1

Answer:

216 \(in^{3}\)

Step-by-step explanation:

To find the volume of a cube, we use the equation V=\(a^{3}{\), where V=volume and a=side length. In your problem, a=6. So, let's replace a in our equation with 6 to solve for volume.

V=\(a^{3}{\)     [ Plug in 6 for a ]

V=\((6)^{3}\)     [ Solve ]

V = 216 \(in^{3}\)

So, the volume of the cube is 216 \(in^{3}\).

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Related Questions

If there are 30 boys and 20 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Answers

Answer:

3 to 2, 6 to 4, 18 to 6, etc.

As long as you multiply 3 and 2 by the same number, you will get a correct answer to this problem.

Step-by-step explanation:

boys to girls

30 to 20

3 to 2

a chain letter starts when a person sends it to 7 others. these people either ignore it or send it to 7 more. if 211 are involved in this chain letter (including the sender), (1) how many sent the letter? (2) how many did not continue the chain?

Answers

There are 22 people who sent the chain letter, and 189 people did not continue the chain.

We know that the chain started with one person who sent it to 7 others, so that makes a total of 8 people in the first round. In the second round, each of those 7 people could either send it to 7 more people or ignore it, so there are two possibilities for each of those 7 people: they either continue the chain or they don't.

Therefore, there are 2⁷ = 128 possible outcomes for the second round.

If we assume that everyone who received the letter in the second round sent it to 7 more people, then there would be 7 x 128 = 896 people in the third round.

Continuing this pattern, we can see that the number of people in each round is given by the formula of combination 8 x 7ⁿ⁻¹, where n is the round number (starting with n = 1 for the first round).

We want to find the round number such that the total number of people in the chain is 211. Setting the formula above equal to 211 and solving for n gives

8 x 7ⁿ⁻¹ = 211

7ⁿ⁻¹ = 26.375

n - 1 = log_7(26.375)

n = 2.78 (rounded to two decimal places)

Since we can't have a fractional round number, we can assume that the chain ended after the second round (since the third round would have too many people). Therefore, the total number of people who sent the letter is

8 + 7(2) = 22

To find the number of people who did not continue the chain, we can subtract the number of people who sent the letter from the total number of people in the chain

211 - 22 = 189

Therefore, 189 people did not continue the chain.

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A researcher says that her analysis shows that the effect of the independent variable on the dependent variable is statistically significant. This means the effect is:

Answers

The statement means that the observed relationship between the independent variable and the dependent variable is "very unlikely to occur by chance."

In statistical analysis, the concept of statistical significance helps determine if the results obtained from a study are reliable and not due to random chance. When an effect is deemed statistically significant, it suggests that the relationship between the independent variable (the variable being manipulated or studied) and the dependent variable (the variable being measured or observed) is likely to exist in the population from which the sample was drawn.

By reaching statistical significance, the researcher can confidently conclude that the observed effect is more than just a random occurrence and has practical implications in the real world, thus lending support to the underlying hypothesis or research question.

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What is the probability of a giraffe that is shorter than 14 feet? Answer choicesare rounded to the nearest whole percent. a.)8% b.)83% c.)17% .

Answers

Answer: It's A

Step-by-step explanation:

Write the rate below in simplest form?
12: 144
A.3:36
B.4:48
C.1:12
D.6:72

Answers

the answer is C. 1:12, since the greatest common factor is 12. 12/12 = 1 and 144/12 = 12, therefore 1:12

Answer:

C. 1:12

Step-by-step explanation:

12 : 144 = 1 : 12 divide both numbers by 12

Correct option is C

SOMEONE HELP ME PLEASE!
¡ALGUIEN QUE ME AYUDE POR FAVOR!

SOMEONE HELP ME PLEASE!ALGUIEN QUE ME AYUDE POR FAVOR!

Answers

1 = 11
2 = 79
3 = 3
4 = -4
5 = 0
6 = 87. Are the awnsers

f(x)=3x^3+5 and g(x)=-5x-3
find f(-3) and g(7)

Answers

Answer:

f(-3) = -76

g(7) = 38

Step-by-step explanation:

f(-3) = (3*-3^2) + 5 = 81 + 5 = 86

g(7) = (-5*7) - 3 = -35 - 3 = -38

Assume the probability of Lukas Podolski scores in a soccer match is 25%.
a) Assuming that Lukas performs independently in different matches, what is the probability that Lukas will score in world cup quarter final match and semifinal match? Use 4 decimal places _______
b) Assume again that Lukas performs independently in different games, what is the probability of Lukas scoring in quarter final OR semi final? Use 4 decimal places _______

Answers

(a) The probability that Lukas Podolski will score in both the World Cup quarter-final and semi-final matches is 0.0625 (or 6.25%).

(b) The probability of Lukas Podolski scoring in either the World Cup quarter-final OR the semi-final match is 0.5 (or 50%).

What is Probability?

Probability is a branch of mathematics in which the chances of experiments occurring are calculated.

a) To find the probability that Lukas Podolski will score in both the World Cup quarter-final and semi-final matches, we multiply the probabilities of him scoring in each match since the events are independent.

Probability of scoring in the quarter-final match = 0.25 (or 25%)

Probability of scoring in the semi-final match = 0.25 (or 25%)

Probability of scoring in both matches = 0.25 * 0.25 = 0.0625

Therefore, the probability that Lukas Podolski will score in both the World Cup quarter-final and semi-final matches is 0.0625 (or 6.25%).

b) To find the probability of Lukas Podolski scoring in either the quarter-final OR the semi-final match, we can use the principle of addition. Since the events are mutually exclusive (he can't score in both matches simultaneously), we can simply add the probabilities of scoring in each match.

Probability of scoring in the quarter-final match = 0.25 (or 25%)

Probability of scoring in the semi-final match = 0.25 (or 25%)

Probability of scoring in either match = 0.25 + 0.25 = 0.5

Therefore, the probability of Lukas Podolski scoring in either the World Cup quarter-final OR the semi-final match is 0.5 (or 50%).

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Jacob has 98 pennies. how many quarters does he have?

Answers

Answer:

If you mean by total of pennies, 3.

If you mean literally then its 0.

Does that even make sense?

1 Quarter - 25

2 quarter - 50

3 quarter - 75

4 quarter - 100.

Jacob has 3 quarters if he has 98 pennies

The polygon circumscribes a circle . what is the perimeter of the polygon ?The perimeter of the polygon is _ cm

The polygon circumscribes a circle . what is the perimeter of the polygon ?The perimeter of the polygon

Answers

The perimeter of the polygon is 76 cm​

Explanation:

Tangents from the same points are of the same lengths.

Using an illustration:

The points are in Magenta and the lengths with same sides have been indicated

Now we can calculate the perimeter of the polygon:

Perimeter = 8cm + 19cm + 19cm + 6cm + 6cm + 5cm + 5cm + 8cm

Perimeter = 76cm

The perimeter of the polygon is 76 cm​

The polygon circumscribes a circle . what is the perimeter of the polygon ?The perimeter of the polygon

Brian has two rectangular sheets of paper.


The length of the larger sheet is 12 times the length of the


smaller sheet.


The width of the larger sheet is 15 times the width of the


smaller sheet.


By what factor is the area of the larger sheet greater than the area of the


smaller sheet?

Answers

The area of the larger sheet is 180 times greater than the area of the smaller sheet.

How to find the area of sheets?

To determine which sheet has a larger area, Let's assume that the length of the smaller sheet of paper is l and the width of the smaller sheet is w. Then, we can express the dimensions of the larger sheet in terms of l and w as follows:

Length of larger sheet = 12l

Width of larger sheet = 15w

The area of the smaller sheet can be calculated as:

Area of smaller sheet = length × width = lw

Similarly, the area of the larger sheet can be calculated as:

Area of larger sheet = length × width = (12l) × (15w) = 180lw

To find the factor by which the area of the larger sheet is greater than the area of the smaller sheet, we can divide the area of the larger sheet by the area of the smaller sheet:

Factor = Area of larger sheet / Area of smaller sheet

Factor = (180lw) / (lw)

Simplifying the expression, we get:

Factor = 180

Therefore, the area of the larger sheet is 180 times greater than the area of the smaller sheet.

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A center-point bending test was performed on a 2 * 4 wood lumber according to ASTM D198 procedure with a span of 4 ft and the 4 in. side is positioned vertically. If the maximum load was 240 kips and the corresponding deflection at the mid-span was 2.4 in., calculate the modulus of rupture and the apparent modulus of elasticity.

Answers

The modulus of rupture (MOR) can be calculated by dividing the maximum load by the section modulus. The section modulus for a rectangular cross-section is (width * height^2)/6.

In this case, the width is 2 inches and the height is 4 inches, so the section modulus is (2 * 4^2)/6 = 5.33 in^3. Therefore, the MOR = 240 kips / 5.33 in^3 = 45 kpsi.

The apparent modulus of elasticity (MOE) can be calculated using the formula MOE = (F * L^3) / (4 * h * d^3 * delta), where F is the maximum load, L is the span length, h is the height of the wood, d is the depth of the wood, and delta is the deflection at mid-span. Plugging in the values given, we get MOE = (240 kips * 4^3) / (4 * 4 * 2^3 * 2.4 in) = 1,333 kpsi. Therefore, the apparent MOE for the 2 * 4 wood lumber is 1,333 kpsi.

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please help i will give 100 points

please help i will give 100 points

Answers

Answer:

x= 3

Step-by-step explanation:

Since triangle is equilateral...

2y = 25x - 15

And....

Here,

2y + 2y + 2y = 180

6y = 180

y = 180/6

= 30

Again,

2y = 25x -15

2*30 + 15 = 25 x

x = 75/25

= 3

Draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure ({N}, {T}, {M})

Answers

A cross-sectional effect diagram, also known as an axial force-shear force-bending moment diagram or simply an internal force diagram, is a graphical representation that shows the distribution of internal forces (axial force, shear force, and bending moment) along the length of a structural member, such as a beam or column.

To draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure, we need to follow these steps:

Step 1: Identify the type of loadingFor this question, the loading conditions are {N}, {T}, {M}. So, the loading types are axial force, shear force, and bending moment.

Step 2: Draw the cross-sectional diagram of the beam. We need to draw the diagram of the cross-section of the beam in the direction of the forces acting on the beam. In this case, it will be a rectangular beam.

Step 3: Draw the effect diagrams After drawing the cross-sectional diagram, we need to draw the effect diagrams for each loading condition.

The effect diagrams are as follows: 1. Axial force diagram (N):In this case, the axial force is positive (+) which means it is a tensile force. 2. Shear force diagram (T):The shear force is negative (-) from x = 0 to x = 1, which means the shear force is acting downward. It is zero at x = 1 and then becomes positive (+) from x = 1 to x = 2, which means the shear force is acting upward. 3. Bending moment diagram (M):The bending moment is zero at x = 0, becomes negative (-) from x = 0 to x = 1, reaches a minimum at x = 1, and then becomes positive (+) from x = 1 to x = 2.

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write an inequality to compare the numbers 7 1/8 and square root of 50.

a. 7 1/8 = square root of 50

b. 7 1/8 (less than or equal to) square root of 50

c. 7 1/8 < square root of 50

d. 7/8 > square root of 50

Answers

Answer:

Latter C.

Step-by-step explanation:

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

Calculate the area of the regular pentagon.

Calculate the area of the regular pentagon.

Answers

The area of the regular pentagon is 252.7m²

How to determine the value

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

's' is the side of the pentagon 'a' is the apothem length.

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

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Which type of error explains the variability in the results between groups: mistakes, random, or systemic

Answers

The type of error that explains the variability in the results between groups is "random error."Explanation:Random error is the variability between the groups' results due to the imprecision of the measuring instrument or technique.

It is caused by minor differences in the experimental conditions that are unpredictable and can not be controlled or accounted for in the experiment. Random error can lead to imprecise results that fluctuate from the main answer, which means that it is not biased towards one particular direction.The other type of error that is commonly known is "systematic error" which is characterized by consistent errors that occur in a specific direction due to the method or instrument used.

Systematic error is due to the inaccuracy of the measuring instrument or incorrect experimental design, and it can affect the accuracy of the main answer. Mistakes or human errors, on the other hand, are due to human error, such as incorrect calculations or transcriptions, and are not part of the sources of errors.

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Which system of equations has no solution? A. 3y = 1 + x y = –2x + 5 B. 4x – 5y = 3 –3 = 4x – 5y C. 5x + 4y = 1 4x – 2y = 4 D. y = –3x + 4 y = –34x + 1

Answers

Answer:

Equation B has no solution

Step-by-step explanation:

The reason it has no solution is because we are getting 2 answers for the same sum

We already have 4x -5y = 3

And also we are still having the same sum as equal to -3

This shows that we can not have a solution to the system

Answer:

Step-by-step explanation:

equation b it has no soulution

Which equation represents a line which is perpendicular to the line y = 3x – 8?

Answers

Your answer would be Y=-1/3x-8

Hello!
The question I need help with is attached... Please help me! I do not understand what I have done wrong for this question but would appreciate the answer please! Thank you do much!♡​

Hello!The question I need help with is attached... Please help me! I do not understand what I have done

Answers

The interest rate is 5%

What is the compound interest?

Compound interest is the interest earned not only on the principal amount of a loan or investment, but also on any accumulated interest that has been added to the principal over time. In other words, it is interest that is earned on both the initial investment and on the interest earned in previous periods.

We know that for the compound interest;

A = P(1 + r/n)^nt

7193.58 = 6500(1 + r)^2

7193.58/6500 = (1 + r)^2

1.1 = (1 + r)^2

ln 1.1 = 2ln 1 + r

ln1.1/2 = ln 1 + r

0.048 = ln 1 + r

1 + r = e^0.048

r = 1.05 - 1

r = 0.05

r = 5%

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1. If f(x) = (3x-2)/(2x+3), then f'(x) =

Answers

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

The population of a village increased from 234 to 275 during one year. Find the percentage increase?

Answers

Answer:

275 is a 17.521% increase of 234.

This is the formula:

(y2 - y1) / y1)*100

y1=start value

y2=end value

The percentage increased population is 17.52 % from 234 to 275 during one year.

What is percentage?

Percentage is defined as ratio expressed as a fraction of 100.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Given that,

The population of a village increased from 234 to 275 during one year

So, the difference of population is equal to increased population

The difference of population = 275 - 234

The difference of population = 41

Now , the percentage increased population = 41 of 234

The percentage increased population = (41/234)100

The percentage increased population = (0.1752)100

The percentage increased population = 17.52 %

Hence, the percentage increased population is 17.52 % from 234 to 275 during one year

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Identify the type of data (qualitative/quantitative) and the level of measurement for the eye color of respondents in a survey. explain your choice.

Answers

The eye color of respondents in a survey is qualitative data at the nominal level of measurement.

The eye color of respondents in a survey can be categorized as qualitative data because it represents a characteristic or attribute rather than a numerical quantity. Qualitative data is descriptive and categorical.

In terms of the level of measurement, the eye color variable can be classified as nominal level data. Nominal data is the lowest level of measurement and simply categorizes observations into different groups without any inherent order or magnitude. In this case, eye colors such as blue, brown, green, hazel, etc. are non-numeric categories without any implied ranking or quantitative relationship.

Nominal data is characterized by the fact that you cannot perform mathematical operations on the categories, and there is no meaningful measure of central tendency or dispersion. Eye color falls into this category since you cannot meaningfully calculate averages or quantify differences between eye colors using mathematical operations.

To summarize, the eye color of respondents in a survey is qualitative data at the nominal level of measurement.

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can anyone please help me with this

can anyone please help me with this

Answers

Answer:

no

Step-by-step explanation:

The correct explanation is A

\(\frac{x^{m} }{a^{n} }\) = \(a^{(m-n)}\)

Thus

\(\frac{9.2}{4}\) × \(\frac{10^{8} }{10^{-3} }\)

= 2.3 × \(10^{(8-(-3))}\)

= 2.3 × \(10^{11}\)

In circle O, BC = 15 and DC = 28. The diagram is not drawn to scale. What is the length of diameter BA? Round the answer to the nearest tenth.
*
Captionless Image
37.3
42.7
48.9
56.2

In circle O, BC = 15 and DC = 28. The diagram is not drawn to scale. What is the length of diameter BA?

Answers

The value of the segment BA for the circle O with secant through C which intersect the circle at points B and A is equal to 52.3 to the nearest tenth.

What are circle theorems

Circle theorems are a set of rules that apply to circles and their constituent parts, such as chords, tangents, secants, and arcs. These rules describe the relationships between the different parts of a circle and can be used to solve problems involving circles.

For the tangent DC and the secant through C which intersect the circle at points B and A;

DC² = BC × BA {secant tangent segments}

28² = 15 × BA

784 = 15(BA)

BA = 784/15

BA = 52.2667

Therefore, the value of the segment BA for the circle O with secant through C which intersect the circle at points B and A is equal to 52.3 to the nearest tenth.

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A jar of sweets contains 5 yellow sweets, 4 red sweets, 8 green sweets, 4 orange sweets and 3 white sweets. Ola chooses a sweet at random. What is the probability that she will pick either a yellow or orange sweet?

Answers

Using the probability concept, it is found that there is a 0.375 = 37.5% probability that she will pick either a yellow or orange sweet.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

There are 5 + 4 + 8 + 4 + 3 = 24 sweets, hence \(T = 24\)Of those, 5 are yellow and 4 are orange, hence \(D = 9\).

The probability that she will pick either a yellow or orange sweet is:

\(p = \frac{D}{T} = \frac{9}{24} = 0.375\)

0.375 = 37.5% probability that she will pick either a yellow or orange sweet.

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Probability to pick yellow or orange sweet is 3 / 8

Given:

Number of yellow sweet = 5

Number of red sweet = 4

Number of green sweet = 8

Number of orange sweet = 4

Number of white sweet = 3

Find:

Probability to pick yellow or orange sweet

Computation:

Total number of sweets = 24 sweets

Probability to pick yellow = 5 / 24

Probability to pick orange = 4 / 24

Probability to pick yellow or orange sweet = 5/24 + 4/24

Probability to pick yellow or orange sweet = 9 / 24

Probability to pick yellow or orange sweet = 3 / 8

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Determine the implied domain of the following function. Express your answer in interval notation.

Determine the implied domain of the following function. Express your answer in interval notation.

Answers

Answer:

(-♾, ♾)

Step-by-step explanation:

A quadratic can accept any real x value. So the domain is All Real Numbers. This in interval notation is

(-♾, ♾)

This is read as negative infinity to positive infinity

The implied domain of g(x) = -2x² + 1 is (-∞, +∞), indicating that the function is defined for all real values of x.

To determine the implied domain of the function g(x) = -2x² + 1, we need to identify the set of all possible values for x that make the function defined and meaningful.

In this case, since the function is a quadratic polynomial, there are no restrictions on the input values of x. The function is defined for all real numbers.

Therefore, the implied domain of the function g(x) = -2x² + 1 is the set of all real numbers, which can be expressed in interval notation as (-∞, +∞).

This interval notation indicates that there are no specific limitations or exclusions on the values of x for the function. It includes all real numbers from negative infinity to positive infinity.

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Una limusina cuesta $ 85 para alquilar por 3 horas más un 7% de impuesto sobre las ventas. Cúal es el costo total
alquilar una limusina por 6 horas?

Answers

Answer:

$181.9

Step-by-step explanation:

Si cuesta 85 dólares por 3 horas, queremos duplicarlo para obtener la cantidad por 6 horas, que es 170 dólares. Esto es antes del impuesto a las ventas. Puede encontrar la cantidad después del impuesto a las ventas multiplicando 170 por 1.07. Hace esto porque el 100 por ciento del costo sería 170 por 1 y el 7 por ciento es .07, por lo que si desea el 107 por ciento del costo, debe hacerlo 170 por 1.07. Esto funciona porque toma el 7 por ciento de 170 y lo agrega al costo total. También puede hacer esto 170 veces .07. Luego suma el producto a 170. 181,9 es la respuesta final.

English- If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.

if 3.142×110 = 345.62, why is the decimal point not infront of the 5?​

Answers

Answer:

It is not infront of the 5 because when mutiplying it goes above a whole number so the . has to move back.

Step-by-step explanation:

Answer:

It has to be in front of the 5 since you have to move the decimal 2 places to the right and it lands beside the 5

Please helppp.there are 3 green, i purple,
and 2 orange markers in a bag
once a marker is selected, it
is not replaced. find the
probability of selecting two
orange markers

Answers

The probability of selecting two orange markers is 2/6 * 1/5 = 1/15.

What is non-replacement event?

Components that have not been altered typically have content that is present within the document, whereas elements that have been replaced typically have content that is present outside of the document.

Given that there are 3 green, 1 purple, and 2 orange markers.

Total number of markers is (3 + 1 + 2) = 6.

The probability of an event is the ratio of the number of outcomes of a favorable event to the total number of outcomes.

The probability that the first marker is orange is 2/6 = 1/3.

After picking the number of markers that left is (6 - 1) = 5.

The number of orange marker that left is 2 - 1 = 1.

The probability that the second marker is orange is 1/5.

The probability of selecting two orange markers is (1/3) × ( 1/5) = 1/15.

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Which ordered pair is a solution of the equation?y + x = 3(x 4) Additional Activities Directions: Using the concept map below, identify the type of interaction that exists in mangrove swamps. Give examples of organisms involved by writing the interaction or organisms in the blank boxes. Do it in your Science Journal? Mangrove Swamp Ecosystem Mutualism Predation oysters attached on mangrovespa help pls need ko na po ngayun Which lesson is most likely learned from each of these myths?Question 5 options:There is no return after death. Death comes to all.Love is not enough to bring a spirit back. Drag tiles to describe each fraction Tiles may be used once, more than once, or not at all. according to the record by em-dat (ofda/cred 2010) flood accounts for 40% of the natural disasters between 1985 and 2009 worldwide (ferreira 2011). How many silver atoms are in 1 mole of silver? What is the solution to the system of equations graft below Complete a trend analysis for sales (round to nearest whole percent and use 2010 as the base year). 2013 2012 2011 2010 Sales $ 620,000 $ 580,000 $ 450,000 $ 600,000 (D) (C) (B) (A) "from this moment, the very firstlings of my heart shall be the firstlings of my hand." explain why this is a significant quotation to the play. [tex] sin ^{2} + cos ^{2} [/tex]explain me how showing trigonometric ratio. Solve -12cos x + 6 = 0 on the interval [0, 2n).OT 5T3' 3T 273' 32427 4T3,T 1176' 6 Sarah is making a pizza the diameter of the pizza is 8 inches what is the circumference of the pizza using 3.14 rounded to the nearest tenth Follow-up research reveals that Piaget ________ preschoolers' ________. underestimated; magical thinking overestimated; animistic beliefs overestimated; abstract thinking underestimated; egocentrism for each value of determine whether it is a solution to 2x - 7 = -23 Sort these statements by identifying whether they are objective or subjective.Independence Day is July 4.ObjectiveEverybody loves the summer.Cold weather is awfullPumpkin-picking is fun!IntroSkiing is a sport.Bears hibernate in winter.Subjective Dong Next, rearrange the expression in part B using the Commutative Property so the terms with the same place value are next to eachother. while screening the effects of various compounds on plant cells, you identify a molecule that severely reduces atp production during photosynthesis, but has no effect on the reduction of NADP+ to NADPH. what is the most likely activity of this molecule in the chloroplast? What is the result of subtracting X^2-2x+3 from 3x^2+x-2 If there is a X link mutation that causes a mutant phenotypein human population, when both Xchromosome carries the mutated X chromosome and having mutatedfemale phenotype frequency is0,49. What is In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2? a. HI:EF b. EF:AD c. AD:AH d. AH:HI e. BC:HI