What is the probability of selecting an orange candy

Answers

Answer 1

Answer:

how many colors are there and how many of each color?

Step-by-step explanation:

Answer 2

Probability of an event is the measurement of its chance of occurrence.

The probability of selecting an orange candy depends on how many candies are there. If its the only candy, and at least one candy must be chosen, then its probability is 1 or say in percent it is 100%

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered random experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

How to convert percent to probability?

Percent counts the number compared to 100 whereas probability counts it compare to 1.

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:

For each 1, there are a/100 parts.

Thus, 50% = 50/100 = 0.50 (in probability)

The probability of selecting an orange candy depends on how many candies are there.

If its the only candy, and at least one candy must be chosen, then its probability is 1 or say in percent it is 100% because then n(E) = 1 and n(S) = 1 where

E is event of selecting one orange candy from only 1 candy availablen(E) = count of ways E can be done = 1n(S) = number of ways 1 candy can be selected  from only 1 candy available

Thus, the probability of selecting an orange candy depends on how many candies are there. If its the only candy, and at least one candy must be chosen, then its probability is 1 or say in percent it is 100%

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Related Questions

define a scheme procedure, named (heap-insert f x h), which adds element x to heap h using the first-order relation f to determine which element belongs at the root of each (sub)tree.

Answers

The scheme procedure "heap-insert" adds an element x to a heap h using the first-order relation f to determine the root element in each subtree.

The "heap-insert" procedure can be defined as follows in Scheme:

(define (heap-insert f x h)

 (cond

   ((null? h) (list x))

   ((f x (car h)) (cons x h))

   (else (cons (car h) (heap-insert f x (cdr h))))))

This procedure takes three arguments: f, x, and h. The first argument f is a first-order relation that determines the ordering of elements in the heap. The second argument x is the element to be inserted into the heap. The third argument h is the existing heap.

The procedure first checks if the heap h is empty. If it is, it simply creates a new heap with x as the only element. If the heap is not empty, it compares x with the root element (car h) using the relation f. If f determines that x should be the new root element, it adds x to the heap by consing x with h. Otherwise, it recursively calls the heap-insert procedure on the remaining elements (cdr h) until it finds the appropriate position to insert x.

In this way, the "heap-insert" procedure ensures that the new element x is inserted into the heap h while maintaining the heap property defined by the relation f.

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A rectangular prism has a volume of 900 cubic units. The prism has a length of 25 units and a width of 12 units. Which equation could be used to find h, the height of the prism?

Answers

Answer:

52 cubic units

Step-by-step explanation:

got it right on edg

Answer:

37h 900

Step-by-step explanation:

help a girl out? please ​

Answers

Answer:

21/20

Step-by-step explanation:

Please help I’m having a hard time :(

Answers

Answer:

i think you're right- you seem to have all numbers squared correctly, also every negative value squared becomes a positive number, which means that your answers are correct.. what is your issue?

Step-by-step explanation:

The price of n tickets to a concert is 8n + 9 dollars. What is the cost in dollars for 7 tickets to the concert

Answers

Answer: 65

Step-by-step explanation:

8nn+7 is your given expression. Plug in 7 for n, the number of tickets: 8(7)+9=56+9=65

Decide whether the composite functions, fog and g • f, are equal to x. f(x) = *25, g(x) = 2x - 5 2 O No, no O Yes, yes Yes, no O No, yes

Answers

The composite functions fog and g • f are not equal to x. The function fog simplifies to 4x² - 20x + 25, while g • f simplifies to 45. Therefore, neither composite function equals x.

To determine whether the composite functions fog and g • f are equal to x, we need to evaluate each expression separately and compare the results.

1. fog (or f(g(x))):

f(g(x)) = f(2x - 5)

To compute f(2x - 5), we substitute (2x - 5) into the function f(x) = x²:

f(2x - 5) = (2x - 5)²

Expanding this expression, we get:

f(2x - 5) = 4x² - 20x + 25

Therefore, fog is not equal to x since f(2x - 5) simplifies to 4x² - 20x + 25, not x.

2. g • f (or g(f(x))):

g(f(x)) = g(25)

To compute g(25), we substitute 25 into the function g(x) = 2x - 5:

g(25) = 2(25) - 5

g(25) = 50 - 5

g(25) = 45

Therefore, g • f is not equal to x since g(25) evaluates to 45, not x.

In conclusion, neither fog nor g • f is equal to x. The composite functions do not simplify to x; fog simplifies to 4x²- 20x + 25, and g • f simplifies to 45.

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The center is (3,-2), and a point in the circle is (23, 19)

Answers

Answer:

Circumference is about 182.21

Step-by-step explanation:

Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is 29. Plug 29 into the formula 2(pi)r to find the Circumference. The answer is 182.21

The equation of the circle is [tex]\rm(x-3)^2+(y+2)^2=29^2[/tex].

What is the equation of circle?

The equation of the circle is given by;

[tex]\rm (x-h)^2+(y-k)^2=r^2[/tex]

Where r is the radius and h and k are the centre of the circel.

The radius of the circle is;

[tex]r=\sqrt{(23-3)^2+(19-(-2))^2} \\\\r=\sqrt{(20)^2+(21)^2} \\\\r=\sqrt{400+441}\\\\r =\sqrt{841}\\\\r=29[/tex]

The equation of the circle is;

[tex]\rm (x-h)^2+(y-k)^2=r^2\\\\\rm (x-3)^2+(y-(-2))^2=29^2\\\\ (x-3)^2+(y+2)^2=29^2[/tex]

Hence, the equation of the circle is [tex]\rm(x-3)^2+(y+2)^2=29^2[/tex].

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What is the solution to the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n? (1 point)

Answers

Answer:

n= 1

Got it right on my test \( ̄︶ ̄*\))

The water used by the 12 students during the experiment was poured from a beaker after the water was poured 1/4 gallon of water was left in the beaker What was the total number of fluid ounces of water in the beaker before the water was poured by the 12 students

Answers

Answer:

128 fluid ounces

Step-by-step explanation:

We were told that:

During the experiment was poured from a beaker after the water was poured 1/4 gallon of water was left in the beaker

Hence, this means that the total gallon of water in the beaker is 1 gallon

Convert 1 gallon to fluid ounces

1 gallon =128 fluid ounces

Therefore, the total number of fluid ounces of water in the beaker before the water was poured by the 12 students is 128 fluid ounces.

I’m sorry for the spam questions but I need help

Answers

Answer:

x = 30

Step-by-step explanation:

2x + x = 90

3x = 90

x = 30

8. The 2% solution of tetracaine hydrochloride is already isotonic. How many milliliters of a 0.9% solution of . sodium chloride should be used in compounding the prescription? Tobramycin 0.5% Tetracaine hydrochloride Sol. 2% 15 mL Sodium chloride qs Purified water ad 30 mL Make isoton, sol. Sig. for the eye

Answers

To make the 2% solution of tetracaine hydrochloride isotonic, a 0.9% solution of sodium chloride should be used.

The amount of the 0.9% sodium chloride solution needed can be calculated by setting up a proportion based on the concentration percentages.

Let's assume x represents the volume of the 0.9% sodium chloride solution needed in milliliters.

Since the 0.9% solution is isotonic, it means that the concentrations of tetracaine hydrochloride and sodium chloride should be equal. Therefore, the proportion can be set up as follows:

(0.9 / 100) = (2 / 100) * (x / 30)

Simplifying the proportion, we have:

0.009 = 0.02 * (x / 30)

To solve for x, we can multiply both sides of the equation by 30 and divide by 0.02:

x = (0.009 * 30) / 0.02

x ≈ 13.5 mL

Therefore, approximately 13.5 milliliters of the 0.9% sodium chloride solution should be used in compounding the prescription to make the 2% tetracaine hydrochloride solution isotonic.

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What is the value of "w" ?

Answers

Answer:

w = [tex]\sqrt{147}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

w² + 7² = 14²

w² + 49 = 196 ( subtract 49 from both sides )

w² = 147 ( take the square root of both sides )

w = [tex]\sqrt{147}[/tex]

Evaluate the expression when b=4 and x=-2 .

b-4x

Answers

Answer:

12

Step-by-step explanation:

b-4x

Plug in 4 as b and -2 as x

= (4)-4(-2)

Multiply 4 and 2

= 4-(-8)

Two negatives make a positive

= 4+8

= 12

I hope this helps!

Yes, the answer above me is correct.

The proportion of supermarket customers who do not buy store-brand products is to be estimated. Suppose 500 customers are selected from the roughly 20,000 customers who shop at the stores citywide. The sample proportion of supermarket customers who do not buy store-brand products equals 33.5%. Which value(s) can be labeled as statistic(s)?

Answers

Options :

A.

33.5%

B.

20,000 and 33.5%

C.

500 and 20,000

D.

20,000

Answer:

A.) 33.5%

Step-by-step explanation:

A statistic value is simply a numerical statistical estimate or value which is obtained from the sample data or value. Here the statistic is the statistical value which is obtained the sample of 500 customers selected from the about 20000 population value 500 itself is the sample size while 33.5% is the sample. Proportion of supermarket customers who do not buy store-brand products.

20,000 = population size ;

500 = sample. Size

33.5% =. Statistic

HELP ASAP, due today.

Answers

Answer:

(A) B h(x)= -2x-5.5

(B) The y intercept is (0,-5.5)

(C) The rate of change is -2

(D) The x intercept is (-2.75,0)

Which of the following describes the square root of 41. 5,6 6,7 20,21 40,42

Answers

Answer:

6,7

Step-by-step explanation:

the squre root of 41 is 6.403

1 point
Finish the similarity statement. (Note: your answer will be the 3 letters of
the other triangle. You must place them in the correct order and use
CAPITAL letters!) APQR-4
R
4 in
6 in
VA
8 in
4 in
3 in
2 in

Answers

YOUR ANSWER IS ANGLE BAC

helppppppppppppppppp​

Answers

Answer:

32.2-32.61

Step-by-step explanation:

Question 3 of 10
Which of the following are exterior angles? Check all that apply.
6
DA. 26
B. 24
C. 23
OD. 22
OE. Z1
O F. 25

Answers

Answer:

I believe the answer to be 5 and 4

The exterior angles of the given triangle are angles 4 and 5

What is triangle?

A triangle is a polygon with three sides, angles and vertices.

Given that, a triangle, with angles, 1, 2, 3, 4, 5 we need to find the exterior angles,

An exterior angle of a polygon is the angle that lies outsides of the polygon,

Here, we can see, that only two angles 4 and 5 lies outsides of the triangles

Therefore, the exterior angles are 4 and 5

Hence, the exterior angles of the given triangle are angles 4 and 5

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Please help I’ll give brainliest

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

as with simple linear regression, we desire the residuals to (select all that apply)

Answers

In simple linear regression, we desire the residuals to have certain characteristics. Specifically, we want the residuals to be:

Random: The residuals should not follow a specific pattern or exhibit any systematic behavior. Random residuals indicate that the model captures the underlying relationship between the variables adequately.

1. Normally distributed: The residuals should follow a normal distribution. This assumption allows for the use of statistical inference and hypothesis testing techniques based on normality.

2. Zero mean: The average of the residuals should be close to zero. A zero mean indicates that, on average, the model is not biased and accurately represents the data.

3. Homoscedastic: The residuals should have constant variance across all levels of the independent variable. Homoscedasticity ensures that the model's performance is consistent throughout the range of values.

By satisfying these criteria, we can ensure that the model is valid, reliable, and provides accurate predictions.

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Find m∠P. explanation is optional

Answers

Answer is 60
The angle that is marked with “120” is equal to the one that’s on the opposite corner.
And to find angle P ur gonna need to find 180-120 cuz they’re supplementary angles. (Meaning that they’re equal to 180)

This is confusing can you help? NO LINKS!!!

Answers

Answer:

huh?

Step-by-step explanation:

did you forget a pic?

Answer:

whatdo u need help with love?

Step-by-step explanation:

PLEASE SOMEONE HELLPPP i actually need it

Answers

Can you repost this I can’t really tell what the questions say

Does the equation 3(2x−1)+5=6(x+1) have one, none, or an infinite amount of solutions?

Answers

Answer: No solutions

Step-by-step explanation: If you solve the problem all the way, you get 0 = 4 which is not valid so there is simply no solution

The given equation 3(2x−1)+5=6(x+1) has no solution. Option B is correct.

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,
Given equation ⇒

⇒= 3(2x−1)+5=6(x+1)

Simplify the above expression,
⇒ 6x - 3 + 5 = 6x + 1
⇒    2 ≠ 1

Thus, the given equation has no solution.

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please help

If 2500 square feet of grass supplies enough oxygen for a
family of four, how much grass is needed to supply oxygen for a family
of five?

Answers

Answer:

3125

Step-by-step explanation:

first, find the unit rate.

2500/4=625

625= amount of oxygen needed to supply a family of one(or just one single person)

625*5=3125

***with these problems, always try to find the unit rate first which is the amount of something per one unit. it'll be helpful to solve the questions following it.

PLEASE HELP ME!!!! In each diagram AB is tangent to C at B. Find the value of x.​

Answers

Answer is 9

Step by step explanation
As CB is radius CB=3, CA=3+7=10
X^2=(7+3)^2-3^2=100-9=81
X=9

approximate the area under the curve graphed below from x = 2 x=2 to x = 5 x=5 using a left endpoint approximation with 3 subdivisions.

Answers

The approximate area under the curve from x = 2 to x = 5, using a left endpoint approximation with 3 subdivisions, is 13.5 square units.

To approximate the area under the curve, we divide the interval from x = 2 to x = 5 into three equal subdivisions, each with a width of (5 - 2) / 3 = 1. The left endpoint approximation involves using the leftmost point of each subdivision to approximate the height of the curve.

In this case, we evaluate the function at x = 2, x = 3, and x = 4, and use these values as the heights of the rectangles. The width of each rectangle is 1, so the areas of the rectangles are calculated as follows:

Rectangle 1: Height = f(2) = 2, Area = 1 * 2 = 2 square units.

Rectangle 2: Height = f(3) = 4, Area = 1 * 4 = 4 square units.

Rectangle 3: Height = f(4) = 7, Area = 1 * 7 = 7 square units.

Finally, we add up the areas of the three rectangles to obtain the approximate area under the curve: 2 + 4 + 7 = 13 square units. Therefore, the approximate area under the curve from x = 2 to x = 5 using a left endpoint approximation with 3 subdivisions is 13.5 square units.

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Consider the circular annulus (a plane figure consisting of the area between a pair of concentric circles) specified by the range: 1 1 cases. b) Find the potential that satisfies the following boundary conditions 1 u (1,0) = sin? (0) ), u (2,0) = 0. ) = + (1 - cos (20),

Answers

The potential that satisfies the given boundary conditions in part (a) and (b) is: [tex]\[u(r, \theta) = \sin(\theta)\][/tex] and [tex]\[u(r, \theta) = \sin(\theta)\][/tex] respectively.

Consider the circular annulus (a plane figure consisting of the area between a pair of concentric circles) specified by the range:

[tex]$1 \leq r \leq 2$.[/tex]

a) Find the potential that satisfies the following boundary conditions:

[tex]\[\begin{aligned}u(1,0) &= \sin(\theta) \\u(2,0) &= 0 \\u(\theta, 1) &= 1 + (1 - \cos(2\theta))\end{aligned}\][/tex]

b) Find the potential that satisfies the following boundary conditions:

[tex]\[\begin{aligned}u(1,0) &= \sin(\theta) \\u(2,0) &= 0 \\u(\theta, 1) &= 1 + (1 - \cos(20\theta))\end{aligned}\][/tex]

To solve this problem, we can use separation of variables and assume a solution of the form:

[tex]\[u(r, \theta) = R(r)\Theta(\theta)\][/tex]

Plugging this into Laplace's equation [tex]$\nabla^2u = 0$[/tex] and separating variables, we get:

[tex]\[\frac{1}{R}\frac{d}{dr}\left(r\frac{dR}{dr}\right) + \frac{1}{\Theta}\frac{d^2\Theta}{d\theta^2} = 0\][/tex]

Solving the radial equation gives us two solutions:

[tex]\[R(r) = A\ln(r) + B\quad \text{and} \quadR(r) = C\frac{1}{r}\][/tex]

For the angular equation, we have:

[tex]\[\Theta''(\theta) + \lambda\Theta(\theta) = 0\][/tex]

The general solution to this equation is given by:

[tex]\[\Theta(\theta) = D\cos(\sqrt{\lambda}\theta) + E\sin(\sqrt{\lambda}\theta)\][/tex]

To satisfy the boundary conditions, we can impose the following restrictions on [tex]$\lambda$[/tex] and choose appropriate constants:

For part (a)

[tex]\[\begin{aligned}R(1) &= 0 \implies B = -A\ln(1) = 0 \implies B = 0 \\R(2) &= 0 \implies A\ln(2) + B = 0 \implies A\ln(2) = 0 \implies A = 0 \\\Theta(0) &= \sin(0) \implies D = 0 \\\Theta(0) &= \sin(0) \implies E = 1\end{aligned}\][/tex]

Therefore, the potential that satisfies the given boundary conditions in part (a) is:

[tex]\[u(r, \theta) = \sin(\theta)\][/tex]

For part (b)

[tex]\[\begin{aligned}R(1) &= 0 \implies B = -A\ln(1) = 0 \implies B = 0 \\R(2) &= 0 \implies A\ln(2) + B = 0 \implies A\ln(2) = 0 \implies A = 0 \\\Theta(0) &= \sin(0) \implies D = 0 \\\Theta(0) &= \sin(0) \implies E = 1\end{aligned}\][/tex]

Therefore, the potential that satisfies the given boundary conditions in part (b) is:

[tex]\[u(r, \theta) = \sin(\theta)\][/tex]

Please note that in both parts (a) and (b), the radial solution does not contribute to the potential due to the boundary conditions at r=1 and r=2. Thus, the solution is purely dependent on the angular part.

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What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?

Answers

Subtract 4.5 from each side so that there’s only y=7.6 left.

To solve the equation y - 4.5 = 12.2 we have to add 4.5 on both sides of the equation.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is y - 4.5 = 12.2

y minus four point five equal to twelve point two.

In the equation y is the variable and minus is the operator in the equation.

To solve the equation we have to isolate the variable y.

To isolate the variable y we have to add 4.5 on both sides of the equation

y-4.5+4.5=12.2+4.5

y=16.7

Hence, to solve the equation y - 4.5 = 12.2 we have to add 4.5 on both sides of the equation.

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Hi guys this isnt about math but it needs to be said if you get a comment answering your question telling you a link they have has the answers DO NOT PRESS IT! Those people are either sex traffickers and trying to get your IP address or trying to get your personal information. Stay safe PLZ HELP IM DOING A TGA I NEED HELP 50 POINTS PLZ HELP NO FAKE ANSWERSOpinion: Emoticons Arent Ruining Language. 5. What evidence does the author use to support the reasons? walker suggests that most of the time, the system operates in a chaotic and arbitrary manner. The Earth's asthenosphere is a structural layer A. that is made of the crust and the uppermost part of the mantle. B. that is contained completely within the crust. C. that is contained completely within the upper mantle. D. that is made of the mantle and the uppermost part of the crust. This native of Houston, Texas, served as the Secretary of the Treasury (1985-1988)under Ronald Reagan, Secretary of state (1989-1992) under George H.W. 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An increase in income will lead to a rightward shift of the demand curve of normal product X, which increases the price Think of a team that you have been on. Reflect on the meetings/interactions/decisions that this team has made. Based on this team, answer the following questions:Where has your team experienced groupthink? Explain the situation.Of the 8 symptoms of groupthink identified in the online lecture video in week 3.1, which were present in your group? Which of these is an example of qualitative data? A how many books your classmates read this year B. your classmates' favorite books C. how much a book costs at the store D. how many pages your favorite book has Excerpt from Invisible Man by Ralph EllisonRead the passage and then select which two statements best describe a central idea in the passage?It goes a long way back, some twenty years. All my life I had been looking for something, and everywhere I turned someone tried to tell me what it was. I accepted their answers too, though they were often in contradiction and even self-contradictory. I was naive. I was looking for myself and asking everyone except myself questions which I, and only I, could answer. It took me a long time and much painful boomeranging of my expectations to achieve a realization everyone else appears to have been born with: That I am nobody but myself. But first I had to discover that I am an invisible man!And yet I am no freak of nature, nor of history. I was in the cards, other things having been equal (or unequal) eighty-five years ago. I am not ashamed of my grandparents for having been slaves. I am only ashamed of myself for having at one time been ashamed. About eighty-five years ago they were told that they were free, united with others of our country in everything pertaining to the common good, and, in everything social, separate like the fingers of the hand. And they believed it. They exulted in it. They stayed in their place, worked hard, and brought up my father to do the same. But my grandfather is the one. He was an odd old guy, my grandfather, and I am told I take after him. It was he who caused the trouble. On his deathbed he called my father to him and said, "Son, after I'm gone I want you to keep up the good fight. I never told you, but our life is a war and I have been a traitor all my born days, a spy in the enemy's country ever since I give up my gun back in the Reconstruction. Live with your head in the lion's mouth. I want you to overcome 'em with yeses, undermine 'em with grins, agree 'em to death and destruction, let 'em swoller you till they vomit or bust wide open." They thought the old man had gone out of his mind. He had been the meekest of men. The younger children were rushed from the room, the shades drawn and the flame of the lamp turned so low that it sputtered on the wick like the old man's breathing. "Learn it to the younguns," he whispered fiercely; then he died.But my folks were more alarmed over his last words than over his dying. It was as though he had not died at all, his words caused so much anxiety. I was warned emphatically to forget what he had said and, indeed, this is the first time it has been mentioned outside the family circle. It had a tremendous effect upon me, however. I could never be sure of what he meant. Grandfather had been a quiet old man who never made any trouble, yet on his deathbed he had called himself a traitor and a spy, and he had spoken of his meekness as a dangerous activity. It became a constant puzzle which lay unanswered in the back of my mind. And whenever things went well for me I remembered my grandfather and felt guilty and uncomfortable. It was as though I was carrying out his advice in spite of myself. And to make it worse, everyone loved me for it. I was praised by the most lily-white men of the town. I was considered an example of desirable conductjust as my grandfather had been. And what puzzled me was that the old man had defined it as treachery. When I was praised for my conduct I felt a guilt that in some way I was doing something that was really against the wishes of the white folks, that if they had understood they would have desired me to act just the opposite, that I should have been sulky and mean, and that that really would have been what they wanted, even though they were fooled and thought they wanted me to act as I did. It made me afraid that some day they would look upon me as a traitor and I would be lost. Still I was more afraid to act any other way because they didn't like that at all. The old man's words were like a curse.Which two statements best describe a central idea in the passage?Group of answer choicesthe importance of following the rules in order to fit into societythe barbaric nature of slaverythe struggle to find ones identitythe emptiness left behind by the loss of a loved onethe effects of the Civil War on the lives of African Americansthe complicated nature of race relations in the United States what is 7 8/9 written as a decimal true or false enthalpy is defined as the change in heat at constant pressure In 2021, Southwestern Corporation completed the treasury stock transactions listed below. February 2: Reacquired 60,000 shares at $11.00. March 17: Sold 10,000 shares at $13.50. May 17: Sold 15,000 shares at $7.50. Southwestern had issued 100,000 shares of its $1 par common stock for $10 several months ago. Required: Prepare the journal entries to record the above transactions, using the cost method. Tyrone is working with two other students to build a border around the schools triangular garden. Each student brought in one side of the border, but they all used different units to measure the side lengths. The first side is 312 inches long, the second side is 20 feet long, and the third side is 12 yards long. If the measurements need to be in feet, will the three border pieces make a right triangle?Convert the third side into feet using a proportion. What strategies should writers use to help organize their ideas for an informational essay?Select all that apply.A. Make an idea map.B. Make an outline.C. Create a research plan.D. Create a thesis statement.