Imagine a world where every bag of skittles ever made contains exactly 100 pieces of candy. The colors for skittles are the colors of the rainbow: red, orange, yellow, green, blue, and purple. The latest data analysis on bags of skittles has told us the following: About 20 percent of them have an equal number of candies of each color. About 40 percent of them have a 2-1-1-3-1-1 ratio of the colors red, orange, yellow, green, blue, and purple. The remaining 40 percent of them have only red candies. What is the average distribution of colors in a bag of skittles

Answers

Answer 1

As per the given information, we can conclude that the average distribution of colors in a bag of Skittles is:

- 20% of bags have an equal number of candies of each color. So, each color will have 100/6 = 16.67 (approx. 17) pieces of candy.

- 40% of bags have a 2-1-1-3-1-1 ratio of colors. Using this ratio, we can find out the number of pieces for each color:

- Red: 2/8 * 100 = 25

- Orange: 1/8 * 100 = 12.5 (approx. 13)

- Yellow: 1/8 * 100 = 12.5 (approx. 13)

- Green: 3/8 * 100 = 37.5 (approx. 38)

- Blue: 1/8 * 100 = 12.5 (approx. 13)

- Purple: 1/8 * 100 = 12.5 (approx. 13)

- 40% of bags have only red candies, which means the remaining colors have 0 pieces.

Therefore, the average distribution of colors in a bag of Skittles can be calculated as:

- Red: 40% * 100 = 40 pieces

- Orange: (20% * 17) + (40% * 13) = 4.4 + 5.2 = 9.6 (approx. 10)

- Yellow: (20% * 17) + (40% * 13) = 4.4 + 5.2 = 9.6 (approx. 10)

- Green: (20% * 17) + (40% * 38) = 4.4 + 15.2 = 19.6 (approx. 20)

- Blue: (20% * 17) + (40% * 13) = 4.4 + 5.2 = 9.6 (approx. 10)

- Purple: (20% * 17) + (40% * 13) = 4.4 + 5.2 = 9.6 (approx. 10)

Thus, the average distribution of colors in a bag of Skittles is 40 pieces of red, 10 pieces each of orange, yellow, blue, and purple, and 20 pieces of green.

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Related Questions

list 10 Objects that are vertical and horizontal and are found in the classroom ​

Answers

Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.

In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:

Vertical objects in a classroom:

1. Door                     6. Clock

2. Cabinet               7. Electrical outlets

3. Bookshelf            8. Light switches

4. Whiteboard         9. Window blinds

5. Flagpole             10. Bulletin board

Horizontal objects in a classroom:

1. Desks                  6. Keyboard trays

2. Chairs                 7. Carpet tiles

3. Tables                 8. Ceiling tiles

4. Countertops       9. Whiteboard markers

5. Shelves              10. Paper trays

These are just a few examples of vertical and horizontal objects that can be found in a classroom.

It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.

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Tony needs one gallon of orange juice to make punch for a party. Gallons of orange juice cost $3.99 each. Quarts of orange juice
cost $1.25 each. Pints of orange juice cost $0.65 each. Cups of orange juice cost $0.20 each. Which of these is the best buy for a
gallon?
A-the cups
B-the pints
C-the quarts
D-the gallon

Answers

Answer

C because 2 quarts make's one gallon

Step-by-step explanation:

What is 3x-7 hdjdhdvdhddjdbbddhdhfhfbfhfh

Answers

Answer:

-21

Step-by-step explanation:

i searched it up

Bruce has been offered a position selling bungee seat belts to sports car manufacturers. He was given a choice of receiving a monthly salary of $500 plus a bonus of 25% of his monthly sales or a $2,000 monthly salary with a 5% bonus on sales. How much would Bruce have to sell to make the same amount of money from each?

Answers

Answer:

$7500

Step-by-step explanation:

Let x = amount of monthly sales.

Choice A:

"monthly salary of $500 plus a bonus of 25% of his monthly sales"

monthly salary = 0.25x + 500

Choice B:

"$2,000 monthly salary with a 5% bonus on sales"

monthly salary = 0.05x + 2000

We set the total monthly salaries equal and solve for x.

0.25x + 500 = 0.05x + 2000

0.2x = 1500

x = 1500/0.2

x = 7500

Answer: $7500

Nicholas is making cakes. Each cake uses 3 cups of flour. He plans to use less than 60 cups of flour for cakes so that he has enough left to make brownies.
He has already used 6 cups of flour for cakes.

How many more cakes can Nicholas make?

Select from the drop-down menu to correctly complete the statement. Nicholas can make Choose... more cakes. A. More than 22
B. Fewer than 18
C. more than 18
D. fewer than 22​

Answers

Answer:

Nicholas will be able to getd. fewer than 18

Nicholas can make fewer than 18 cakes. Option B is correct.

Given that,
Nicholas is making cakes. Each cake uses 3 cups of flour. He plans to use less than 60 cups of flour for cakes so that he has enough left to make brownies. He has already used 6 cups of flour for cakes.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Amount of flour left = 60 - 6 = 54 cups of flour
3 cups of flour are required to make a cake,
Now,
The number of cakes that can  be made with remaining flour = 54 / 3 = 18 cakes

Thus, Nicholas can make fewer than 18 cakes. Option B is correct.

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Jevon Noda's home has a market value of $72,000, the rate of assessment is 30%, and the tax rate is 85.
mills. Find the a) assessed value, b) tax rate as a decimal, and c) real estate tax.

Answers

The required a) assessed value = $21600,
                    b) tax rate = 0.0855,
                    c) real estate tax = $1836.

What is cost price?

Cost price is that price for buyer which he pays to seller for an object or product.

a) assessed value = 72000 x 30/100
 =  $21600
b) tax rate = 85.5/1000
    =  0.0855
c) real estate tax = 0.855 x 21600
   =  $ 1836

Thus, the required values of a) assessed value, b) tax rate as a decimal, and c) real estate tax is  $21600, 0.085 and $1836 respectively.

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What is the value of n - 7 when n = 14?
21
2
7
9

Answers

Answer:

C) 7

Step-by-step explanation:

Plug in 14 for n in the equation.

n - 7

14 - 7

Subtract: 14 - 7 = 7

C) 7 is your answer.

~

books cost 50¢ and pamphlets 15¢ at the book sale. if mr. jones spent $90 and purchased 15 more pamphlets than he did books, how many pamphlets did he buy ?

Answers

Mr. Jones bought approximately 13 pamphlets.

In this problem, we have two types of items: books and pamphlets. Books cost 50¢ and pamphlets cost 15¢ at the book sale.

Let's use variables to represent the quantities we don't know. Let's say Mr. Jones bought x books and y pamphlets.

We are given two pieces of information:
1. Mr. Jones spent $90 on his purchases.
2. He bought 15 more pamphlets than books.

Now, let's set up the equations based on the given information.

First, let's consider the cost equation. The total cost of the books and pamphlets should equal $90.


The cost of x books is 50¢ * x, and the cost of y pamphlets is 15¢ * y. So, the equation becomes:
50x + 15y = 90

Next, let's consider the second piece of information. Mr. Jones bought 15 more pamphlets than books, which means y = x + 15.

Now, we have a system of two equations:
50x + 15y = 90
y = x + 15

To solve this system, we can use substitution or elimination method. Let's use substitution:

Substitute the value of y from the second equation into the first equation:
50x + 15(x + 15) = 90

Simplify the equation:
50x + 15x + 225 = 90
65x + 225 = 90

Subtract 225 from both sides:
65x = 90 - 225
65x = -135

Divide both sides by 65:
x = -135 / 65
x ≈ -2.08

Since we cannot have a negative number of books, we know that x must be a positive whole number. So, let's round x to the nearest whole number:
x ≈ -2

Now, substitute this value of x back into the second equation to find y:
y = x + 15
y ≈ -2 + 15
y ≈ 13

Therefore, Mr. Jones bought approximately 13 pamphlets.

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1. Use Gauss-Seidel method to find the solution of the following equations = X1 + X1X2 = 10 x1 + x2 = 6 With the following estimates (a) x1(0) = 1 and x20 1 (b) x1(0= 1 and x2O) = 2 (c) Continue the iterations until | 4x4(k) | and | Axz(K)| are less than 0.001.

Answers

The iterations should be continued  until |4x4(k)| and |Axz(k)| are less than 0.001.

To solve the system of equations using the Gauss-Seidel method, we start with initial estimates and iteratively update the values until convergence is achieved. Let's go through the steps using the given equations and initial estimates:

Given equations:

x1 + x1x2 = 10

x1 + x2 = 6

Initial estimates:

(a) x1(0) = 1 and x2(0) = 1

(b) x1(0) = 1 and x2(0) = 2

Let's use the initial estimates from case (a):

Iteration 1:

Using equation 1: x1(1) = 10 - x1(0)x2(0) = 10 - 1 * 1 = 9

Using equation 2: x2(1) = 6 - x1(1) = 6 - 9 = -3

Iteration 2:

Using equation 1: x1(2) = 10 - x1(1)x2(1) = 10 - 9 * (-3) = 37

Using equation 2: x2(2) = 6 - x1(2) = 6 - 37 = -31

Iteration 3:

Using equation 1: x1(3) = 10 - x1(2)x2(2) = 10 - 37 * (-31) = 1187

Using equation 2: x2(3) = 6 - x1(3) = 6 - 1187 = -1181

Iteration 4:

Using equation 1: x1(4) = 10 - x1(3)x2(3) = 10 - 1187 * (-1181) = 1405277

Using equation 2: x2(4) = 6 - x1(4) = 6 - 1405277 = -1405271

Continue the iterations until |4x4(k)| and |Axz(k)| are less than 0.001.

Since we haven't reached convergence yet, we need to continue the iterations. However, it's worth noting that the values are growing rapidly, indicating that the initial estimates are not suitable for convergence. It's recommended to use different initial estimates or try a different method to solve the system of equations.

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A random sample of 121 bottles of cologne showed an average content of 4 ounces. it is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. refer to exhibit 7-1. the point estimate of the mean content of the bottles is

Answers

The point estimate of the mean content of the bottles is 4.

How to illustrate the point estimate?

It should be noted that the mean of a set of numbers that was given regarding an information.

It should be noted that the point estimate simply means the single value estimate of a parameter. In this case, the showed an average content of 4 ounces. Therefore, the point estimate of the mean content of the bottles is 4.

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\( \mathrm{m}_{1} \) and \( \mathrm{m}_{2} \) is \( 120 \mathrm{lbs} \) and 210 Ibs respectively. What is \( r_{2} \) if \( r_{1} \) \( =1.8 \mathrm{~m} \) ? \( 3.15 \mathrm{~m} \) \( 1.25 \mathrm{~m}

Answers

The value of \( r_{2} \) is approximately 1.028 m. The moment or torque is calculated by multiplying the force applied by the distance from the point of rotation.

To find the value of \( r_{2} \), we need to use the concept of moments or torques in a system. The moment or torque is calculated by multiplying the force applied by the distance from the point of rotation.

In this case, if we assume that \( r_{1} \) and \( r_{2} \) are the distances of masses \( m_{1} \) and \( m_{2} \) from the point of rotation respectively, then the torques exerted by \( m_{1} \) and \( m_{2} \) should be equal since the system is in equilibrium.

Using the equation for torque:

Torque = Force × Distance

The torque exerted by \( m_{1} \) is given by:

\( \text{Torque}_{1} = m_{1} \cdot g \cdot r_{1} \)

where \( g \) is the acceleration due to gravity.

The torque exerted by \( m_{2} \) is given by:

\( \text{Torque}_{2} = m_{2} \cdot g \cdot r_{2} \)

Since the system is in equilibrium, \( \text{Torque}_{1} = \text{Torque}_{2} \), we can equate the two equations:

\( m_{1} \cdot g \cdot r_{1} = m_{2} \cdot g \cdot r_{2} \)

Now, let's substitute the given values into the equation and solve for \( r_{2} \):

\( 120 \, \text{lbs} \cdot 9.8 \, \text{m/s}^{2} \cdot 1.8 \, \text{m} = 210 \, \text{lbs} \cdot 9.8 \, \text{m/s}^{2} \cdot r_{2} \)

Simplifying the equation:

\( 2116.8 \, \text{N} \cdot \text{m} = 2058 \, \text{N} \cdot r_{2} \)

Dividing both sides of the equation by 2058 N:

\( r_{2} = \frac{2116.8 \, \text{N} \cdot \text{m}}{2058 \, \text{N}} \)

\( r_{2} \approx 1.028 \, \text{m} \)

Therefore, the value of \( r_{2} \) is approximately 1.028 m.

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helpp me plss! geometry, how to find x. i kinda need step by step for better understanding, if possible, too pleaseee

helpp me plss! geometry, how to find x. i kinda need step by step for better understanding, if possible,
helpp me plss! geometry, how to find x. i kinda need step by step for better understanding, if possible,
helpp me plss! geometry, how to find x. i kinda need step by step for better understanding, if possible,

Answers

Answer:

Step-by-step explanation:

Aimee packs ice cream into an ice cream cone. She then puts a perfect hemisphere of ice cream on top of the cone that has a volume of 4 in.3 The diameter of the ice cream cone is equal to its height. What is the total volume of ice cream in and on top of the cone? Use the relationship between the formulas for the volumes of cones and spheres to help solve this problem. Show your work and explain your reasoning.

Answers

Answer:To help read it step by step until you understand trust me you will get it!

Step-by-step explanation:

The total volume of the ice cream in and on top of the cone is (16/3)πd³.

What is a cone?

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is 1/3 πr²h.

We have,

Volume of the hemisphere = 4 in³

The volume of ice cream.

= Volume of the hemisphere + Volume of the cone

= 4 + (1/3)π(d/2)²h

[ height = diameter ]

= 4 + (1/3) x π x d²/4 x d

= 4 + (1/3) x π x d³/4

= 4 + (4/3)πd³

= (16/3)πd³

Thus,

The volume of the ice cream is (16/3)πd³.

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Point A is located at (-2, 4). After it is transformed, point A' is located at (2, 4). What could the transformation be?

A. reflection in the y-axis

B. A translation 4 units to the right

C. A rotation of 90° around the origin

D. A transiation 4 units up

Answers

A. reflection in the y-axis

china and germany specialize in the production of silk and automobiles respectively. they are considered the best at their specializations. assume that china trades silk with germany in exchange for automobiles. which perspective is illustrated by this form of trade?-absolute advantage-comparative advantage-new trade theory-porter's model

Answers

The perspective illustrated by the form of trade where China trades silk with Germany in exchange for automobiles is comparative advantage.

Comparative advantage is an economic concept that states that countries will benefit from trade if they specialize in producing goods and services that they are relatively more efficient at producing, and then trade with other countries for goods and services they are relatively less efficient at producing.

In this scenario, China has a comparative advantage in producing silk, and Germany has a comparative advantage in producing automobiles. By specializing in these goods and exchanging them, both countries can benefit from trade and produce a greater quantity of goods and services than they could have if they were trying to produce everything themselves.

The concept of comparative advantage was first introduced by economist David Ricardo in the early 19th century, and it remains an important principle in international trade theory.

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Amad collected 42 plates in February for a project he plans to make. He had collected a total of 91 plates by the end of March. Which equation can be used to find the number of plates Amad collected in March? A. 42 * p = 91 b. P - 91 = 42 c. 91 / p = 42 d. P + 42 = 91

Answers

Answer:

Option D: P + 42 = 91

Step-by-step explanation:

Plates collected in February = 42

Total Plates collected = 91

Plates in February + Plates in March = total plates

42 + P = 91 or

P + 42 = 91

What is the sign of a^{72}\cdot \left(\dfrac{-3}{7}\right)a
72
⋅(
7
−3

)a, start superscript, 72, end superscript, dot, left parenthesis, start fraction, minus, 3, divided by, 7, end fraction, right parenthesis when aaa is a negative number?

Answers

Answer:

Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.

The product is positive since \(a^{(72)}\) is positive (without a question control), the division is negative, and 'a' is negative.

What is the sign of right parenthesis when aaa is a negative number?

Let's analyze the expression step by step:

\(a^{72}:\) This term talks to a raised to the control of 72.

left(dfrac{-3}{7}right): This term talks to -3/7, a division with a negative respect.

a: This term talks to the variable "a".

To select the sign of the expression, we have to consider the person parts:

\(a^{72}\) can be a positive number since any positive base raised to an without-a-question control comes around in a positive respect.

left(dfrac{-3}{7}right) may be a negative division.

a may be a negative number concurring with the address.

By and by, let's put it all together:

a^{72} cdot left(dfrac{-3}{7}right) cdot a

Since a^{72} is positive, left(dfrac{-3}{7}right) is negative, and "a" is negative, the extraordinary product will be positive:

Positive number\((a^{72})\) × Negative number left(dfrac{-3}{7}right) × Negative number (a) = Positive number.

In this way, the expression will result in positive respect when "a" may be a negative number.

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the average 1 bedroom apartment in freeburg is $295 a month with a standard deviation of $25 60% or more of all 1 bedroom apartments would tent for what amount

Answers

To determine the amount that 60% or more of all 1 bedroom apartments in Freeburg would rent for, we can use the concept of standard deviations.

Given that the average rent for a 1 bedroom apartment in Freeburg is $295 and the standard deviation is $25, we can determine the rent threshold for 60% or more of all apartments.

To find the threshold, we need to calculate the Z-score corresponding to the desired percentile. The Z-score measures how many standard deviations a data point is from the mean. The Z-score formula is given by (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

To find the Z-score for the 60th percentile, we look up the corresponding value in the Z-table. The Z-table provides the area under the normal distribution curve up to a certain Z-score. In this case, we want to find the Z-score that corresponds to an area of 0.60.

Assuming a normal distribution, a Z-score of approximately 0.253 corresponds to the 60th percentile.

Using the formula (Z-score * standard deviation) + mean, we can calculate the rent threshold: (0.253 * $25) + $295 = $301.325.

Therefore, 60% or more of all 1 bedroom apartments in Freeburg would rent for approximately $301.325 or higher.

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find the equation of the line that passes trougth the points (6, 3), (9, 15) in slope intercept form

Answers

\(y=4x-21\)

Explanation

Step 1

find the slope

the slope is given by:

\(\begin{gathered} \text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}\)

Let

P1(6,3)

P2(9,15)

replacing.

\(\begin{gathered} \text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ \text{slope}=\frac{15-3}{9-6}=\frac{12}{3}=4 \\ \text{slope}=4 \end{gathered}\)

Step 2

using

slope=4

P1(6,3)

find the equation

\(\begin{gathered} y-y_1=m(x-x_1) \\ \text{replacing} \\ y-3=4(x-6) \\ y-3=4x-24 \\ \text{add 3 in both sides} \\ y-3+3=4x-24+3 \\ y=4x-21 \end{gathered}\)

I hope this helps you

Here is a set of data showing the test scores for US History class:


56, 88, 70, 72, 90, 85, 99, 65, 66, 54, 74, 85, 91, 92, 72, 88, 97, 62, 88 Create a stem and leaf plot to show this data. Hint: Decide how many stems you will need.


can somebody help me ?

Answers

Hi! I'd be happy to help you create a stem and leaf plot using the provided set of data for US History class test scores.

Step 1: Arrange the data in ascending order.


54, 56, 62, 65, 66, 70, 72, 72, 74, 85, 85, 88, 88, 88, 90, 91, 92, 97, 99

Step 2: Determine the range of the data.


The data ranges from 50s to 90s, so we will need 5 stems: 5, 6, 7, 8, and 9.

Step 3: Create the stem and leaf plot using the stems and corresponding leaves (the units digits of the data).

5 | 4 6
6 | 2 5 6
7 | 0 2 2 4
8 | 5 5 8 8 8
9 | 0 1 2 7 9

Here is the completed stem and leaf plot for the US History class test scores. The stems represent the tens digits (50s, 60s, 70s, 80s, 90s), and the leaves represent the units digits of the scores in each range.

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Please help me solve this ASAP please!

Please help me solve this ASAP please!

Answers

(x + 9)/2 = 3x

 

Multiply both sides by 2 since the left is divided by 2.

 

x + 9 = 6x

     9 = 5x

      x = 9/5 or 1 4/5

Find the apothem of a regular pentagon with a side length of 6

Answers

The apothem of a regular pentagon with a side length of 6 is approximately 4.37614 units.

How do you determine the apothem of a polygon with six sides?

Given the side length of a regular hexagon, we may use one of these formulas to get its apothem. Consider a normal hexagon with 7 inches of side length as an example.

We can use the following formula to determine the apothem of a regular pentagon with six sides:

apothem=(side length)/(2*tan(pi/number of sides))

Five sides make up a normal pentagon, and pi is about 3.14159. When these values and the 6 side length are entered into the formula, we obtain:

apothem = (6) / (2 * tan(pi / 5))

apothem = (6) / (2 * tan(3.14159 / 5))

apothem = (6) / (2 * 0.68819)

apothem = 4.37614

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2x + y = 7 3x -2y = -7 solve by substitution​

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(1, 5)

Equation Form:

x = 1, y = 5

Brainliest Please!!

2x + y = 7 3x -2y = -7 solve by substitution

The solution for the given equations: x = 1 , y = 5.

What is substitution method?

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

Given, equations

2x + y = 7          -------(a)

3x -2y = -7          -------(b)

Taking equation (a)

2x + y =7

y = 7 - 2x        ------(c)

Substituting value of y in equation (b) from equation (c)

3x - 2(7 - 2x) = -7

3x - 14 + 4x = -7

7x = 7

x = 1

Putting value of x in equation (c)

y = 7 - 2 (1)

y = 5

Hence, x = 1 and y = 5 is the solution for the given equations 2x + y = 7 and 3x -2y = -7.

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Carol measured a straw and wrote down how long it was in inches. pete multiplied carol's straw length by and cut a straw to be that many inches long. joe multiplied carol's straw length by and cut a straw to be that many inches long. which straw belongs to whom?

Answers

Answer:

pete

Step-by-step explanation:

i think its pete???

what is square of 2x-3 help me​

Answers

Answer:

4x² - 12x + 9

Step-by-step explanation:

Use the foil method.

(2x - 3) (2x - 3)

= 4x²- 6x - 6x + 9

= 4x² - 12x + 9

Answer:

\(Square \ of \ (2x - 3) = 4x^2 - 12x + 9\)

Step-by-step explanation:

\((a +b)^2 = a^2 + b^2 + 2ab\)

  \((2x + (- 3))^2 = (2x)^2 + ( -3 )^2 + ( 2\times 2x \times - 3)\\\\\)

                    \(= 4x^2 + 9 + ( -12x)\\\\=4x^2 - 12 x + 9\)

The canvas of a painting has an area of 64 ft2. What length of frame is needed for the border of the painting?

Answers

Answer:

8

Step-by-step explanation:

Assuming, the canvas has the shape of a square. By the square area formula we can derive its side:

\(S=l^{2}\\64=l^{2}\\l=\sqrt{64}\\ l=8\: ft\)

Then Each side of the painting measures 8 feet, the length of frame must have 8 feet long, and the width is decided by the framer.

Answer:

The answer is C: 32 ft

Step-by-step explanation:

If you take the square root of the area of 64 ft ^2, you get 8. then it asks what is the length needed for the frame as in the entire frame. So you just have to multiply 8 by 4 which is the number of sides. Also, I got this right on the edg quiz.

Write your answer as a fraction in simplest form

Write your answer as a fraction in simplest form

Answers

Answer:

-147/100 or mixed number -1 47/100

Step-by-step explanation:

Answer:

-1 47/100 or -147/100

Step-by-step explanation:

Simplify the top which gives you -21/10 and change the sign of -9/14 to a positive and then remove parentheses. Calculate the bottom fractions which is 10/7. Rewrite the fraction then simplify to -147/100

Which is indicative of an inverse relationship between X and Y?
Answer
a. A negative F statistic
b. A negative p -value for the correlation coefficient.
c. A negative correlation coefficient.
d. Either a negative F statistic or a negative p -value.

Answers

The indicative factor of an inverse relationship between X and Y is a negative correlation coefficient (option c).

A correlation coefficient measures the strength and direction of the linear relationship between two variables. If the correlation coefficient is negative, it indicates an inverse relationship between the two variables. This means that as one variable increases, the other variable decreases.

On the other hand, option a and d are incorrect because the F statistic is used in ANOVA to test the overall significance of the regression model and it does not provide information about the direction of the relationship between two variables. Similarly, a negative p-value for the correlation coefficient (option b) does not necessarily indicate an inverse relationship. A negative p-value only indicates the probability of obtaining a correlation coefficient as extreme as the observed value or more extreme under the null hypothesis of no correlation.

Therefore, option c - a negative correlation coefficient - is the only indicative factor of an inverse relationship between X and Y.

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If a cylinder has a height of 19 cm and a diameter of 60 cms calculate how much liquid this cylinder can hold

Answers

Answer:

53721.23

Step-by-step explanation:

V=πr^2h

v = 3.14(30)^2(19)

v = 53721.23

Answer:

a cylinder can hold a liquid of  53,721 cm³

Step-by-step explanation:

volume  of a cylinder = π r² h

vol = π * (60/2)² * 19

vol = 53,721 cm³

Given the points A(-2, 0), B(6, 16), C(1, 4), D(5, 4), E(2,2)2
​,2
​)), and F(32,−4232
​,−42
​), find the position vector equal to the following vectors.
AB⃗
AB

Answers

This indicates that vector 2AB has a length of 165.

Given the points A(-2, 0), B(6, 16), C(1, 4), D(5, 4), and E, let's determine the length of the vector 2AB. To begin, we must determine the distance that separates points A and B. The distance formula is as follows: Equation for distance: We can calculate d as [(x2 - x1)2 + (y2 - y1)2] using the distance formula: Spot = [(6 - (- 2))2 + (16 - 0)2] = [(6 + 2)2 + (16)2] = [(8)2 + (16)2] = [(64 + 256) = 320 = 8] Now, we can deduct the directions of point A from guide B toward decide the vector Stomach muscle:

To find 2AB, simply multiply each part of AB by 2: AB = (6 - (-2)i + (16 - 0)j = 8i + 16j 2AB = 2(8i + 16j) = 16i + 32j. Last but not least, we must ascertain the magnitude of 2AB. The extent recipe is as per the following: Size formula: Using the magnitude formula, we get: ||v|| = (v12 + v22). ||2AB|| = (162 + 322) = (256 + 1024) = (1280 + 165). This indicates that vector 2AB has a length of 165.

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