Which of the following measures of variability can be used to compare two data sets? Select all that apply.3 Answers PLZ FAST ASAP
A: Mean
B:Interquartile range
C.Median
D: Mean Absolute Deviation (MAD)
E: Range

Answer:

Pairs (0, 14) and (10, 0)

The amount of Chemical  B needed is 1.6 g.

This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.

The quantity of Chemical B is plotted against the quantity of  Chemical A.

Chemical B  is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.

Therefore, on the graph, the line passing through the origin of the graph shows that when  1.4 g of Chemical A is used  1.6 g of Chemical B is needed.

Chemical B  is plotted on the vertical axis using the scale of 1  cm to represent 2 units.

To get the amount of Chemical B is  on vertical axis =  2 grams

                                                                                             5 boxes

                                                                                       =0.4 g

Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).

To get the amount of Chemical B is  on vertical axis = amount of Chemical B per box * the number of line (boxes).

To get the amount of Chemical B is  on vertical axis = 0.4 g * 4 lines (boxes)

                                                                                        = 1.6 g

Hence The amount of Chemical  B needed is 1.6 g.

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The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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Answer:

Below

Step-by-step explanation:

Since the center (h,k) is (4,1)   and the circle passes through (4,-4) the radius is 5    ( from y = 1 to -4 ...a distance of 5 )

the equation for a circle is of the form  (x-h)^2 + (y-k)^2 = r^2

  becomes   (x-4)^2 + ( y-1)^2 = 5^2   < ==== graph this equation

radius = 5   then the diameter = 10  then     circumference = pi * d = 10 pi

The differential equation to solve for $I(t)$ is $\frac{dI}{dt} = -k(33-I(t))$. This can be solved by separation of variables, and the solution is $I(t) = 33 + C\exp(-kt)$, where $C$ is a constant of integration.

The rate of change of temperature is inversely proportional to $33-I(t)$, which means that the temperature decreases more slowly as it gets closer to 33 degrees Fahrenheit. This is because the difference between the temperature of the turkey and the temperature of the refrigerator is smaller, so there is less heat transfer.

As the temperature of the turkey approaches 33 degrees, the difference $(33 - I(t))$ becomes smaller. Consequently, the rate of change of temperature also decreases. This behavior aligns with the statement that the temperature decreases more slowly as it gets closer to 33 degrees Fahrenheit.

Physically, this can be understood in terms of heat transfer. The rate of heat transfer between two objects is directly proportional to the temperature difference between them. As the temperature of the turkey approaches the temperature of the refrigerator (33 degrees), the temperature difference decreases, leading to a slower rate of heat transfer. This phenomenon causes the temperature to change less rapidly.

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Answer:

Step-by-step explanation:

Preimage (4, - 7) and image (7, 4).

Rule applied:

Correct choice is A

Answer:

Option A

Step-by-step explanation:

90° counterclockwise rotation about origin rule is

So here

Rotate it

Option A is correct

Step-by-step explanation:

1) To draw triangle ABC, we start by drawing a line segment BC of length 6 cm. Then we draw an angle of 40° at point B, and an angle of 60° at point C. We label the intersection of the two lines as point A. This gives us triangle ABC.

```

C

/ \

/ \

/ \

/ \

/ \

/ \

/ \

/_60° 40°\_

B A

```

2) To find the measure of angle BAC, we can use the fact that the angles in a triangle add up to 180°. Therefore, angle BAC = 180° - 40° - 60° = 80°.

3) To show that ABD is an isosceles triangle, we need to show that AB = AD. Let E be the point where the bisector of angle BAC intersects AB. Then, by the angle bisector theorem, we have:

AB/BE = AC/CE

Substituting the given values, we get:

AB/BE = AC/CE

AB/BE = 6/sin(40°)

AB = 6*sin(80°)/sin(40°)

Similarly, we can use the angle bisector theorem on triangle ACD to get:

AD/BD = AC/BC

AD/BD = 6/sin(60°)

AD = 6*sin(80°)/sin(60°)

Since AB and AD are both equal to 6*sin(80°)/sin(40°), we have shown that ABD is an isosceles triangle.

4) To show that MD is the perpendicular bisector of AB, we need to show that MD is perpendicular to AB and that MD bisects AB.

First, we can show that MD is perpendicular to AB by showing that triangle AMD is a right triangle with DM as its hypotenuse. Since M is the midpoint of AB, we have AM = MB. Also, since ABD is an isosceles triangle, we have AB = AD. Therefore, triangle AMD is isosceles, with AM = AD. Using the fact that the angles in a triangle add up to 180°, we get:

angle AMD = 180° - angle MAD - angle ADM

angle AMD = 180° - angle BAD/2 - angle ABD/2

angle AMD = 180° - 40°/2 - 80°/2

angle AMD = 90°

Therefore, we have shown that MD is perpendicular to AB.

Next, we can show that MD bisects AB by showing that AM = MB = MD. We have already shown that AM = MB. To show that AM = MD, we can use the fact that triangle AMD is isosceles to get:

AM = AD = 6*sin(80°)/sin(60°)

Therefore, we have shown that MD is the perpendicular bisector of AB.

5) Finally, to show that DM = DN, we can use the fact that triangle DNM is a right triangle with DM as its hypotenuse. Since DN is the orthogonal projection of D on AC, we have:

DN = DC*sin(60°) = 3

Using the fact that AD = 6*sin(80°)/sin(60°), we can find the length of AN:

AN = AD*sin(20°) = 6*sin(80°)/(2*sin(60°)*cos(20°)) = 3*sin(80°)/cos(20°)

Using the Pythagorean theorem on triangle AND, we get:

DM^2 = DN^2 + AN^2

DM^2 = 3^2 + (3*sin(80°)/cos(20°))^2

Simplifying, we get:

DM^2 = 9 + 9*(tan(80°))^2

DM^2 = 9 + 9*(cot(10°))^2

DM^2 = 9 + 9*(tan(80°))^2

DM^2 = 9 + 9*(cot(10°))^2

DM^2 = 9 + 9*(1/tan(10°))^2

DM^2= 9 + 9*(1/0.1763)^2

DM^2 = 9 + 228.32

DM^2 = 237.32

DM ≈ 15.4

Similarly, using the Pythagorean theorem on triangle ANC, we get:

DN^2 = AN^2 - AC^2

DN^2 = (3*sin(80°)/cos(20°))^2 - 6^2

DN^2 = 9*(sin(80°)/cos(20°))^2 - 36

DN^2 = 9*(cos(10°)/cos(20°))^2 - 36

Simplifying, we get:

DN^2 = 9*(1/sin(20°))^2 - 36

DN^2 = 9*(csc(20°))^2 - 36

DN^2 = 9*(1.0642)^2 - 36

DN^2 = 3.601

Therefore, we have:

DM^2 - DN^2 = 237.32 - 3.601 = 233.719

Since DM^2 - DN^2 = DM^2 - DM^2 = 0, we have shown that DM = DN.

Answer: see below

Step-by-step explanation:

1. Same shape, size may vary

2. Has corresponding angles congruent (equal)

3. Has corresponding sides in the same ratio

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

Answer:

p=-9

Step-by-step explanation:

11= p-7-3p

you can slove p-3p now which is -2p, then add -7 to both sides.

18=-2p

then divide by -2

p=-9

Answer:

b

Step-by-step explanation:

i took that test a while back.

Overloading in object-oriented programming enables class methods with different parameter lists and return types to perform distinct tasks based on input parameters, improving readability and reducing code complexity.

In the object-oriented model, if class methods have the same name but different parameter lists and/or return types, they are said to be Overloaded.

In object-oriented programming (OOP), overloading refers to the ability of a function or method to be used for a variety of purposes that share the same name but have different input parameters (a parameter is a variable that is used in a method to refer to the data that is passed to it).In object-oriented programming, method overloading allows developers to use the same method name to perform distinct tasks based on the input parameters. The output of the method is determined by the input parameters passed. This enhances the readability of the program and makes it easier to use because it minimizes the number of method names used for distinct tasks.The overloaded method allows the same class method to be used to execute a variety of operations.

It's a great feature for developers because it lets them write fewer lines of code. Overloaded methods are commonly employed when the same task can be completed in multiple ways based on the input parameters.

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For the given rectangular right prism the volume of the composite figure is 444 cubic inches.

What is rectangle?

A rectangle is a four-sided flat shape with straight sides where all interior angles are right angles (90°). It is a type of quadrilateral and can be defined as a parallelogram with four right angles.

To find the volume of the composite figure, we need to find the volume of the rectangular prism and the two square pyramids and then adjust for the addition and subtraction.

The volume of the rectangular prism is:

\(V_{rectangular\ prism\) = length x width x height

\(V_{rectangular\ prism\) = 12 x 6 x 6

\(V_{rectangular\ prism\) = 432 cubic inches

The volume of the first square pyramid that is cut from the prism is:

\(V_{cut\ pyramid\) = 1/3 x base area x height

\(V_{cut\ pyramid\) = 1/3 x \(6^2\) x 3

\(V_{cut\ pyramid\) = 36 cubic inches

Now, we need to subtract the volume of the cut pyramid from the volume of the rectangular prism:

\(V_{adjusted} = V_{rectangular\ prism} - V_{cut\ pyramid\)

\(V_{adjusted\) = 432 - 36

\(V_{adjusted\) = 396 cubic inches

The volume of the second square pyramid that is added to the opposite base is:

\(V_{added\ pyramid\) = 1/3 x base area x height

\(V_{added\ pyramid\) = 1/3 x \(6^2\) x 4

\(V_{added\ pyramid\) = 48 cubic inches

Finally, we need to add the volume of the added pyramid to the adjusted volume of the rectangular prism:

\(V_{composite\ figure} = V_{adjusted} + V_{added\ pyramid\)

\(V_{composite figure} = 396 + 48\)

\(V_{composite figure} = 444\ cubic\ inches\)

Therefore, the volume of the composite figure is 444 cubic inches.

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Answer:

your answer will be 0.0001042

Step-by-step explanation:

hope it helps

have a wonderful day

Answer:

16.483 sit-ups

The r-value indicates a strong negative correlation

Explanation:

The equation y = ax + b relates the number of hours of TV watched per day and the number of sit-ups a person can do. Replacing a = -1.341 and b = 32.234, we can rewrite the equation as:

y = -1.341x + 32.234

Replacing x by 11, we can predict the number of sit-ups that a person who watches 11 hours can do, so:

y = -1.341(11) + 32.234

y = -14.751 + 32.234

y = 17.483

Therefore, a person who watches 11 hours of TV can do 17.483 sit-ups.

On the other hand, the value of r shows the correlation between the variables. This value is a number between -1 and 1.

When it is closer to 0, we can say that there is a weak correlation.

When it is closer to 1, the correlation is positive and strong

When it is closer to -1, the correlation is negative and strong

Since r = -0.896, we can say that there is a strong negative correlation.

So, the answers are:

16.483 sit-ups

The r-value indicates a strong negative correlation

Answer:

Mutual funds, collections of stocks, bonds, and other securities, have less risk than investing in stocks alone because of the risk associated with the ever-changing market.

Step-by-step explanation:

got 100% on edge

The value of the standard error of the mean in each of the following cases are as follows: a) = 1.414213562 = 1.41, b) = 1.41, c) = 1.41 and d) = 1.34.

As standard error (SE) = s × fpc /sqrt (n) and fpc = sqrt [(N-n) / (N-1)] where,

N = population size

n = sample size

then,

a) The population size is infinite (to 2 decimals).

If N = infinity, then fpc = 1.

Thus, SE = 10×1/sqrt (50) = 1.414213562 = 1.41  

b) The population size is N = 50,000 (to 2 decimals).

If N = 50000, then

fpc = sqrt [(50000-50)/(50000-1)] = 0.99950987

Thus, SE = 10*0.99950987/sqrt (50) = 1.413520414 = 1.41  

c) The population size is N = 5000 (to 2 decimals).

If N = 5000, then

fpc = sqrt [(5000-50)/ (5000-1)] = 0.995086951

Thus, SE = 10*0.995086951/sqrt (50) = 1.407265462 = 1.41

d) The population size is N = 500 (to 2 decimals).

If N = 500, then

fpc = sqrt [(500-50)/ (500-1)] = 0.949633407

Thus, SE = 10*0.949633407/sqrt (50) = 1.342984443 = 1.34

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In the given word problem, Nevaeh's age is 7.

Given that,

Nevaeh is older than Kareem.

Their ages are consecutive integers.

The sum of the square of Nevaeh's age and twice Kareem's age is 61.

Assume Nevaeh's age as x.

Since Nevaeh is older than Kareem, Kareem's age would be x-1.

According to the problem,

The sum of the square of Nevaeh's age and twice Kareem's age is 61.

So, we can write the equation as:

x² + 2(x-1) = 61.

Expanding the equation, we get:

x² + 2x - 2 = 61.

Rearranging the terms, we have:

x² + 2x - 63 = 0.

x² + 9x - 7x - 63 = 0

x(x + 9) - 7(x + 9) = 0

(x - 7)(x+9) = 0

x = 7 or x = - 9

Since age is a positive quantity, therefore, proceed x = 7

Therefore, Nevaeh's age is 7.

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Answer:

I think 30

Step-by-step explanation:

I don't know I could be wrong

Answer:

10

Step-by-step explanation:

let your current age be x.

mother's age=48

3(x+6)=48

3x+18=48

3x=30

x=10

One side of the square has a length of 10 cm.

The triangle $ABC$ is a right triangle and it has one leg of length 6 cm and one leg of length 8 cm. Using the Pythagorean theorem, we can find the length of the hypotenuse:

c^2 = a^2 + b^2

c = √(a^2 + b^2)

c = √(6^2 + 8^2)

c = √(36 + 64)

c = √(100)

c = 10

So the hypotenuse of triangle $ABC$ has a length of 10 cm.

The square has one side on the hypotenuse of the triangle $ABC$ and a vertex on each of the two legs of the triangle $ABC$. Since the square is on the hypotenuse of the triangle, one side of the square has the same length as the hypotenuse of the triangle, which is 10 cm.

Therefore, one side of the square has a length of 10 cm.

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Linear inequality of the given graph is given by option (A) and (C) .

(A) y > x /6 +2   ..(1) this line is represented by upper line .

and y ≤ x /4 + 1   ....(2) this line is represented by lower line .

  Let consider a point (2, 3)

Put in equation (1) , we get

  3 > 0.33 +2

  3 > 2.33

which is true so shading will be in lower part of this line .

Put in equation (2) , we get

 3 ≤  0.5 +1

 3 ≤  1.5

which is false so shading will be in opposite direction in upper part of this line.

Hence , there is a common shading area between the lines which is required area .

(b) y <  x /6 +2   ..(1) this line is represented by upper line  and y ≥ x /4 + 1   ....(2) this line is represented by lower line . Let consider a point (2, 3)

Put in equation (1) , we get

  3 < 0.33 +2

  3 < 2.33

which is false so shading will be in opposite direction to the point in upper part of this line .

Put in equation (2) , we get

 3  ≥ 0.5 +1

 3 ≥  1.5

which is true so shading will be in lower part of this line.

Hence , there is no common shading area between the lines .

(C)  y ≥  x /6 +2   ..(1) this line is represented by upper line  and y < x /4 + 1   ....(2) this line is represented by lower line . Let consider a point (2, 3)

Put in equation (1) , we get

  3 ≥  0.33 +2

  3 ≥  2.33

which is true so shading will be in direction to the point in lower part of this line .

Put in equation (2) , we get

 3  <  0.5 +1

 3 <  1.5

which is is false so shading will be in opposite direction to the point in upper part of this line

Hence , there is a common shading area between the lines which is required area .

(D)  y ≤  x /6 +2   ..(1) this line is represented by upper line  and y > x /4 + 1   ....(2) this line is represented by lower line . Let consider a point (2, 3)

Put in equation (1) , we get

  3 ≤ 0.33 +2

  3 ≤ 2.33

which is false so shading will be in opposite direction to the point in upper part of this line .

Put in equation (2) , we get

 3  > 0.5 +1

 3 >  1.5

which is true so shading will be in lower part of this line.

Hence , there is no common shading area between the lines .

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a) The most appropriate statistical test, for testing the random sample mean of two samples is test for two independent means. So, option(vo) is right one.

b) The appropriate hypotheses for this is

\(H_0 : \mu_1 = \mu_2 \)

\(H_a : \mu_1 > \mu_2 \).

We have a random samples survey of Oakland apartments and Shadyside apartments. Claim is that overall mean monthly rent of apartments in Shadyside is higher than in Oakland.

a) We determine the most appropriate test : From the information, we consider a random sample of Shadyside apartments. In this situation, observe that there are two samples of monthly rents in apartments in Shadyside and Oakland cities and also compares the mean rent of apartments in Shadyside and Oakland cities. Therefore, the researcher uses two sample mean test. Hence, the correct option is (vi).

b) Now, Let the sample means for monthly rents in apartments in Shadyside and Oakland cities be \( \mu_1 and \mu_2 \) respectively. So, the appropriate hypotheses, using the appropriate parameter that is null and alternative hypothesis are \(H_0 : \mu_1 = \mu_2 \)

\(H_a : \mu_1 > \mu_2 \). Hence, required value is occured.

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a) Simple events in the sample space: {B}, {GB}, {GGB}, {GGGB}, {GGGG}.

b)Probability of each simple event: {B} = 0.5, {GB} = 0.25, {GGB} = 0.125, {GGGB} = 0.0625, {GGGG} = 0.0625.

c) Probability distribution function for X: P(X=1) = 0.5, P(X=2) = 0.25, P(X=3) = 0.1875, P(X=4) = 0.0625.

d)The graph of the probability distribution function for X would have a bar at X=1 with height 0.5, a bar at X=2 with height 0.25, a bar at X=3 with height 0.1875, and a bar at X=4 with height 0.0625. The graph would have a right-to-left bias.

a) The sample space's simple events are B, GB, GGB, GGGB, and GGGG.

b) The probability of each simple event can be calculated by multiplying the probabilities of having a boy or a girl for each birth until the woman stops having children. For example, the probability of {GB} is 0.5*0.5 = 0.25, since the woman must have a boy on the first birth and a girl on the second birth. The probabilities of the other simple events are: {B} = 0.5, {GGB} = 0.125, {GGGB} = 0.0625, and {GGGG} = 0.0625.

c) The probability distribution function for X can be found by adding up the probabilities of all the simple events that result in X children. For example, P(X=1) = P({B}) = 0.5, P(X=2) = P({GB}) = 0.25, P(X=3) = P({GGB, GGGB}) = 0.125 + 0.0625 = 0.1875, and P(X=4) = P({GGGG}) = 0.0625.

d) The probability distribution function for X can be visualized using a bar graph, where the height of each bar represents the probability of having a certain number of children.

The graph would have a bar at X=1 with height 0.5, a bar at X=2 with height 0.25, a bar at X=3 with height 0.1875, and a bar at X=4 with height 0.0625. The graph would be skewed to the right, since the probability of having fewer children is higher than the probability of having more children.

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Crime statistics can indeed be misleading, especially when drawing conclusions about the criminal behavior of specific class, age, or ethnic groups. There are several potential problems that can arise:

Underreporting and Unreported Crimes: Crime statistics rely on reported incidents. However, many crimes go unreported due to various reasons such as fear of reprisal, lack of trust in law enforcement, or cultural factors. This can result in a distorted representation of crime rates within certain groups

Bias in Law Enforcement: Bias in law enforcement practices, including profiling or over-policing certain communities, can lead to higher arrest rates among specific groups. This can create an inflated perception of criminality within those groups in the statistics, even if the actual criminal behavior is not significantly different.

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Answer:

A.

Step-by-step explanation:

2.8 x 10 -5mm

Answer:

Step-by-step explanation:

Simplify the numerator first

Since they have the same square root that's root 5 we can subtract them directly

That's

So we have

Reduce the expression with √5

We have the final answer as

Hope this helps you

The total price of 2 bags of apples and 3 bags of oranges can be calculated by adding 2 times the price of a bag of apples to 3 times the price of a bag of oranges.

To determine the total price of 2 bags of apples and 3 bags of oranges, you need to know the price per bag of apples and the price per bag of oranges. Let's assume the price per bag of apples is $A and the price per bag of oranges is $O.

The total price of 2 bags of apples would be 2 * A, and the total price of 3 bags of oranges would be 3 * O. To find the overall total price, you can simply add these two amounts together:

Total price = (2 * A) + (3 * O)

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Answer:

purple shape= 1824 inches squared

For the green rhombus:

Answer: 3 ft^2

Explanation:

you can add a line HA to split the rhombus into two triangles

Area of each triangle

= (2 x 1.5) / 2

= 1.5 ft^2

As there are two triangles, so you can just add 1.5 and 1.5 ft^2 together, and the ans is 3 ft^2

1. The  equation z⁵ = w has one complex solution, given by z ≈ 1.3797\(e^{(2i)\)

2. The modulus of the fifth roots of w is \(5^{(1/5)\) ≈ 1.3797.

3. The argument of the fifth root of w that is closest to the positive real axis is 2°.

1. The equation \(z^5\) = w can be written as \(z^5 = 5e^{(10)\).

In this case, r = 5 and θ = 10°. So, we can rewrite the equation as

\(z^5 = 5e^{(10)\).

Since z is a complex number, it can be expressed as z = \(re^{(\theta i)\), where r is the modulus and θ is the argument.

Now, we can substitute z = \(re^{(\theta i)\),

\((re^{(\theta i))}^5 = 5e^{(10)}\\r^5 e^{(5\theta i)} = 5e^{(10)\)

Comparing the real and imaginary parts, we get:

r⁵ = 5      -----(1)

5θ = 10°    -----(2)

From equation (2), we can solve for θ:

θ = 2°

Now, substitute this value of θ back into equation (1):

r⁵ = 5

Taking the fifth root of both sides, we get:

r = \(5^{(1/5)\) ≈ 1.3797

Therefore, the equation z⁵ = w has one complex solution, given by z ≈ 1.3797\(e^{(2i)\).

2. The fifth roots of w all have the same modulus. The modulus is given by the fifth root of the modulus of w.

In this case, the modulus of w is 5.

Therefore, the modulus of the fifth roots of w is \(5^{(1/5)\) ≈ 1.3797.

3. The argument of the fifth root of w that is closest to the positive real axis is 2°.

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The  number of significant digits to report in the answer is always the least number of significant figures that can be found in the question.

The term significant figures refers to the non zero digits in a number . It is those numbers that can be assigned a value in any string of digits. In mathematics, we often carry out operations such as addition, subtraction, division and multiplication.

The  number of significant digits to report in the answer is always the least number of significant figures that can be found in the question.

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Answer:

18

Step-by-step explanation:

Alright so here you have to work backwards. the volume of a cylinder is pi*r^2*h.

Your equation: 486 pi = pi*r^2*6

You know the height is 6 feet, so you can get rid of the 6 feet hanging off of your equation by dividing both sides by 6:

81 pi = pi*r^2

Now you notice that both sides have pi. You can eliminate it by dividing both sides by pi:

81 = r^2

To isolate the r, radius, you have to take the square root of both sides, since a square root is the inverse operation of squaring. You get:

9 = r

Now that you have the radius, you can find the diameter by multiplying the radius by 2, because a diameter = 2 * the radius:

18 = d

Hope this helps!