A clown made purple and green balloon animals at a party. He kept track of the requests.


What is the probability that a randomly selected balloon animal is green and is shaped like a dog?

Answers

Answer 1

The probability that a randomly selected balloon animal is green and shaped like a dog is 0.231.

What is the probability?

The probability is found using the data table given below:

Purple and giraffe = 3; Purple and dog =  3; Green and giraffe = 4; Green and dog = 3

Out of the total number of balloon animals made, the number of green dog balloon animals is 3.

The probability of randomly selecting a green dog balloon animal is found using the formula:

Probability = (number of green dog balloon animals) / (total number of balloon animals)

Probability = 3 / (3 + 3 + 4 + 3) = 3/13

Probability = 0.231

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A Clown Made Purple And Green Balloon Animals At A Party. He Kept Track Of The Requests. What Is The

Related Questions

Help me pls i have to finish my homework i have more questions to post too

Help me pls i have to finish my homework i have more questions to post too

Answers

Answer:

17) 19

19) 8

Step-by-step explanation:

17)

(6 +6² -4)÷2

(6 +36 -4)÷2

(38)÷2

19

19)

3³ ÷3 - 1

27 ÷3 -1

9 -1

8

The army-mccarthy hearings resulted in a singular victory for mccarthyism. true or false?

Answers

False. The Army-McCarthy hearings did not result in a singular victory for McCarthyism.

The Army-McCarthy hearings were a series of hearings held in 1954 to investigate alleged communist infiltration in the U.S. Army. The hearings were televised and exposed Senator Joseph McCarthy's aggressive and unfounded accusations. During the hearings, McCarthy's credibility was severely damaged, and public opinion turned against him. The Army-McCarthy hearings marked a turning point in McCarthyism, as it was the first time McCarthy's tactics were publicly challenged and discredited. Ultimately, McCarthy was censured by the Senate, leading to the decline of his influence and the end of the McCarthy era. Therefore, the hearings did not result in a victory for McCarthyism but rather contributed to its downfall.

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Question:
1. Find the minimum or maximum value of this function by completing the square.
f(x) = x2 + 8x + 6

Answers

The minimum is (-4, -10) and the maximum is infinite.

-5b greater than or less than(sign)20

Answers

It depends on what the variable b equals.

pls help need it plsssssssssss

pls help need it plsssssssssss

Answers

Answer:

a. r² = 0.8555148135 so...

r = 0.9249... or 0.92

b. a correlation coefficient of 0.92 indicates a strong positive association between the two data sets

pls help need it plsssssssssss

laura is drawing a rectangle. the width will be 3 centimeters, and the area will be at least 18 square centimeters. let x represent the length of the rectangle. which inequality describes the problem?

Answers

The inequality that describes the problem is 3x ≥ 18.

This means that the length of the rectangle (x) must be greater than or equal to 6 centimeters in order to ensure that the area of the rectangle is at least 18 square centimeters.

To calculate this, we need to rearrange the equation to x ≥ 6. This is done by dividing both sides of the equation by 3, which gives us the result of x ≥ 6.

To demonstrate this, we can assume that the length of the rectangle is 7 centimeters (x = 7). Plugging this value into the equation 3x ≥ 18 gives us 3(7) ≥ 18, which simplifies to 21 ≥ 18. Since this is true, we know that the length of the rectangle (7 centimeters) satisfies the inequality 3x ≥ 18.

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determine whether or not the distribution is a probability distribution and select the reason(s) why or why not. x 1 2 3 4 p(x) 0.42 0.34 0.18 0.06

Answers

The given distribution satisfies both conditions for a probability distribution, we can conclude that it is a probability distribution.

To determine whether the given distribution is a probability distribution, we need to check if the sum of all probabilities is equal to 1 and if all probabilities are non-negative.

Let's calculate the sum of all probabilities:

Sum of probabilities = 0.42 + 0.34 + 0.18 + 0.06 = 1

The sum of all probabilities is equal to 1, which satisfies the first condition for a probability distribution.

Now, let's check if all probabilities are non-negative:

All probabilities are greater than or equal to 0, which satisfies the second condition for a probability distribution.

Therefore, since the given distribution satisfies both conditions for a probability distribution, we can conclude that it is a probability distribution.

In summary, the distribution is a probability distribution.

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the basketball team score 82 points from 2 point and 3 point baskets. they made 38 baskets all together. let A represent the number of two-point baskets and let B represent the number of three point baskets.

use the system of a linear equations to represent the solution then solve the system using substitution right the solution to the system as an ordered pair ( a, b)

the solution is (? , ?)

*needed by 8:00 PM*​

Answers

Answer:

a = 32

b =  6

Step-by-step explanation:

Givens

a = number of 2 point baskets

b = number of 3 point baskets.

a + b = 38

2a + 3b = 82

Solution

a + b = 38                         (1)

2a + 3b = 82                     (2)

Multiply (1) by 2 and put the result under (2)

2a + 3b = 82

2a + 2b = 76                         Subtract

b = 6

a + b = 38

a + 6 = 38                             Subtract  6 from both sides

a + 6 - 6 = 38 - 6

a = 32

You may need to use the appropriate appendix table or technology to answer this question. The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 n2 = 30 x1 = 22.8 x2 = 20.1 s1 = 2.2 s2 = 4.6 (a) What is the point estimate of the difference between the two population means? (Use x1 − x2. ) 2.7 (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the difference between the two population means? (Use x1 − x2. Round your answers to one decimal place.)

Answers

a). The difference between the two population means is estimated at a location to be 2.7.

b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.

c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).

d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

What is standard deviations?

The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.

Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample

\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).

With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.

We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).

The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the

average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).

Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).

The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).

As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

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Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row. Find a number to represent that​ player's movements for those 5 turns.
NEXT
A football team loses 8 yards on each of 4 consecutive plays. Find the total change in yards from where the team started.
The total change is
nothing yards. plsssssssssssssssssssssssssssss help. their i raised the points'

Answers

Answer:

I think that it would be -40

Step-by-step explanation:

I think this because they had to go back 40 spaces because 8 x 5 = 40.

The required number is 40 which represents that player's movements for those 5 turns.

Given that,
Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row.
To determine the number to represent that​ player's movements for those 5 turns.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
For every turn, he has back 8 spaces
To the number of spaces back in 5 turns,

Total spaces back = 5 * 8
                           =  40

Thus, the required number is 40 which represents that player's movements for those 5 turns.

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plzzzzzzzzzz helppppp​

plzzzzzzzzzz helppppp

Answers

Answer:

i cant see it

Step-by-step explanation:

Answer:

Domain: [-6,8]

Range: [-7, 8]

Step-by-step explanation:

My answer is written in interval notation.

Domain:

The domain is all the possible x values the function has. if you look at the graph, the x values do not pass -6 when going left, and it also does not pass 8 when going right. filled in circles means that point is included, which is why I used brackets instead of parenthesis.

Range:

The range is all the possible y values the equation can have. If you look at the graph, the graph does not have a point that goes below -7, or above 8. filled in circles means that point is included, which is why I used brackets instead of parenthesis.

*make sure to put the lower number first, which is why I put the negative numbers then the positive ones.

a + b and 26 (grater then ,less then,or equal to)

Answers

Answer:

grater than

Step-by-step explanation:

PLEASE ANSWER - BRAINLY IF 2 ANSWERS - THANKS ON PROFILE TOO - 5 STAR RATING!

PLEASE ANSWER - BRAINLY IF 2 ANSWERS - THANKS ON PROFILE TOO - 5 STAR RATING!

Answers

Answer:

b

Step-by-step explanation:

For each of the figures write an absolute value equation that has the following solution set.

For each of the figures write an absolute value equation that has the following solution set.

Answers

Absolute Value Equation for a Horizontal Line Passing Through Two Points -1/2 and 3/2.

The solution set given as a straight horizontal line passing through the points -1/2 and 3/2 can be represented as:

| x - 1 | = 1/2

The absolute value function | x - 1 | gives the distance between x and 1 on the number line.Since the given solution set is a straight horizontal line passing through -1/2 and 3/2, the midpoint of the two points would be 1.The distance between the midpoint (1) and one of the points (-1/2 or 3/2) would be 1/2.Therefore, the equation | x - 1 | = 1/2 represents the set of all values of x that are at a distance of 1/2 units away from the midpoint 1, which is the straight horizontal line passing through -1/2 and 3/2.

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Imagine, you conducted regression and get the coefficients for those three factors in Fama-French model. How would you set up a hypothesis test to test the reliability of those coefficients? Please list your detailed steps.

Answers

To test the reliability of the coefficients obtained from the Fama-French model, you can use a hypothesis test.

Then are the detailed  way to set up a  thesis test   Step 1 Define the null and indispensable  suppositions   The null  thesis( H0) is that the measure of a particular factor is equal to zero, while the indispensable  thesis( Ha) is that the measure isn't equal to zero.   H0 βi =  0  Ha βi ≠ 0   where βi is the measure of the factor in the Fama- French model.  

Step 2 Determine the significance  position   The significance  position is the probability of rejecting the null  thesis when it's actually true. It's  generally set at0.05 or0.01.   Step 3 Calculate the test statistic   The test statistic is a measure of how far the sample estimate of the measure is from the  hypothecated value of zero, relative to the standard error of the estimate. In the case of the Fama- French model, the t- test can be used to calculate the test statistic as follows   t =  βi/ SE( βi)   where SE( βi) is the standard error of the estimate of the ith measure.

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In the equation y = $7.20x + $790, "y" represents Select one: A. variable costs/unit. B. total fixed costs. C. total costs. D. none of the above

Answers

In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.

The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.

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A fruit company recently released a new applesauce. By the end of its first​ year, profits on this product amounted to $37,000. The anticipated profit for the end of the fourth year is $68,200. After the first​ year, the ratio of change in time to change in profit is constant. Let x be years and P be profit in dollars. a. Write a linear function​ P(x) that expresses profit as a function of time. ​P(x)=

Answers

Answer:

P(x) = 35,900 + 2,800(x-1)

Step-by-step explanation:

P(x)

P(1) = $35,900

P(4) = $44,300

Difference in profits

P(4) - P(1)

= P(3)

= $44,300 - $35,900

= $8,400

Rate of change per year = $8,400 / 3

= $2,800 per year

The linear equation

P(x) = 35,900 + 2,800(x-1)

Where

x = number of years

Mrs. Singh bought 9 folders and 9 notebooks. the cost of each folder was $2.50. each notebook cost $4.00 Write two equivalent expressions and then find the total cost.

Answers

a) Two equivalent expressions to model the purchase made by Mrs. Singh, who bought 9 folders and 9 notebooks at the cost of each folder $2.50 and each notebook $4.00 respectively, are:

2.50x4.00y.

b) The total cost of the purchase by Mrs. Singh is $58.50.

What are algebraic expressions?

Algebraic expressions involve the combination of variables, numbers, constants, and values using mathematical operands (addition, subtraction, division, and multiplication).

The unit cost of folders = $2.50

The unit cost of notebooks = $4.00

The number of folders bought = 9

The number of notebooks bought = 9

Let the number of folders bought = x

Let the number of notebooks bought = y

Expressions of the Costs:

Folders: 2.50x

Notebooks: 4.00y

Total Costs:

Folders: 2.50x = $22.50 ($2.50 x 9)

Notebooks: 4.00y = $36.00 ($4 x 9)

Total costs = $58.50

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TIMED! Please Help!!!!!

TIMED! Please Help!!!!!

Answers

it’s C im pretty sure tho

Match the following definition with the correct statistical term: Inferential procedure that determines whether or not there is convincing enough evidence to allow us to conclude that our sample was not drawn from a population with a given parameter Alpha level Hypothesis testing D vilve Sampling distrubution Question 2 Research question; Do more than half of all New York residents commute to work in a car? What type of hypothevis test should be conducted to address this research question? singlemean sineje proportion Difference in two mems Difterence in two proportions Simple Inear iegiession slope

Answers

1)The correct match for the given definition is Hypothesis testing.  2)A one-sample proportion test is appropriate to address this question.

1)The correct match for the definition is:

Inferential procedure that determines whether or not there is convincing enough evidence to allow us to conclude that our sample was not drawn from a population with a given parameter: Hypothesis testing

2)The appropriate type of hypothesis test to address the research question "Do more than half of all New York residents commute to work in a car?" is a hypothesis test for a proportion, specifically a one-sample proportion test.

In this case, the null hypothesis (H0) would be that the proportion of New York residents who commute to work in a car is equal to or less than 0.5 (50%). The alternative hypothesis (Ha) would be that the proportion is greater than 0.5.

Therefore, the appropriate choice is "Difference in two proportions" since we are comparing a single proportion (the proportion of New York residents who commute to work in a car) to a specific value (more than half, i.e., 0.5).

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Sandra paid $85 for a dress that was on sale for 50% off. What was the original price of the dress?

Answers

Answer:

170$

Step-by-step explanation:

A wall of a building is 30 inches wide.Sixteen inches is concrete,10 inches is brick, and 4 inches is limestone . What fraction of the wall is limestone

Answers

Answer:

\(Fraction = \frac{2}{15}\)

Step-by-step explanation:

Given

Wall = 30 inches

Concrete = 16 inches

Brick = 10 inches

Limestone = 4 inches

Required

Fraction of the wall that is limestone

The fraction of limestone is calculated as follows;

\(Fraction = \frac{Size\ of\ limestone}{Size\ of\ wall}\)

Substitute 4 for size of limestone and 30 for size of size of wall

The formula becomes

\(Fraction = \frac{4}{30}\)

Divide numerator and denominator by 2

\(Fraction = \frac{4/2}{30/2}\)

\(Fraction = \frac{2}{15}\)

The fraction can not be further simplified; hence, the fraction of limestone is \(\frac{2}{15}\)

Answer:

2/15

Step-by-step explanation:

Fractions can be found by dividing the part by the whole.

part/whole

In this problem, the part is the limestone portion of the wall and the whole is the total width of the wall.

limestone/total

16 inches are concrete, 10 inches are brick and 4 inches are limestone. The total width is 30 inches.

limestone = 4

total = 30

4/30

This fraction can be simplified. Both the numerator and denominator can be evenly divided by 2.

(4/2) / (30/2)

2/ (30/2)

2/15

This fraction cannot be simplified further, therefore it is our answer.

2/15 of the wall is limestone.

What is finite geometry?Please, Can you write what it is? It's easy to understand.

Answers

Given

Finite Geometry

Find

Definition

Explanation

A finite geometry is a geometric system that has only finite number of points.

For example

It has 4 points and 6 lines.

Final Answer

A finite geometry is a geometric system that has only finite number of points.

What is finite geometry?Please, Can you write what it is? It's easy to understand.

Explain please I’m stuck

Explain please Im stuck

Answers

FYI - the length of the mid-segment of a trapezoid is equal to half the sum of the lengths of its bases.

the equation:

18 + 6x - 12 = 2(2x + 10)

18 + 6x - 12 = 4x + 20

6 + 6x = 4x + 20

6x = 4x + 14

2x = 14

x = 7

Why is this a right triangle? A) Two angles are acute. B) One angle measures exactly 90°. C) All three angles are less than 90°. D) All three sides are of equal length.

Answers

Answer:

B)

Step-by-step explanation:

The main feature in a right triangle is that it has a right angle (90°)

Hope this helps

SOME PLSSS HELP MEEE NOW PLS

SHOW STEPS PLS

SOME PLSSS HELP MEEE NOW PLSSHOW STEPS PLS

Answers

Answer:

  82/99

Step-by-step explanation:

1. Notice the length of the repeating pattern.

  the pattern is 82 repeating, a 2-digit pattern

2. Notice where the repeating pattern starts, relative to the decimal point.

  the repeating starts at the decimal point

3. If the repeating starts at the decimal point, use a pattern of repeating 9s of the same length as the denominator of the fraction

  2 nines are the denominator: 82/99

4. Reduce the fraction if possible

  this fraction cannot be reduced

As a simplified fraction, 0.828282... = 82/99

_____

Comment on more complicated cases

If the repeat does not start at the decimal point, or if the number contains an integer part, then the numerator of the fraction is found in a slightly different way. Let n be the number of repeating digits of the number x. The fraction is then ...

  (10^n·x -x)/(10^n -1)

Example:

  1.2345345345...        a number with a 3-digit repeat not starting at the decimal point

  (1234.5345... -1.2345...)/(1000 -1) = 1233.3/999  = 4111/3330

The multiplication by 10^n aligns the repeating parts so they cancel when you do the subtraction.

Select the correct graph of the equation.

Select the correct graph of the equation.

Answers

Answer:

A

Step-by-step explanation:

The -2 indicates that y would be -2; because A is the only option with that being true, we can eliminate all other potential options rather quickly.

I believe this is 3/5x-2 but please take pictures with all information in view so we can provide better answers!

How to expand (x+3)( x-2), using the F.O.I.L method?

Answers

Foil:

x•x = x^2
x•-2= -2x
3•x= 3x
3•2= 6

Therefore:

X^2-2x+3x+6 is almost your answer, but add liked terms:

X^2+1x+6 is your answer

Answer:

x^2+x-6

Step-by-step explanation:

If you follow the picture in the respective order of FOIL you should get this answer.

How to expand (x+3)( x-2), using the F.O.I.L method?

Write the number in 2 equivalent forms as a fraction, decimal, or percent.


3/3


What is the equivalent decimal

Answers

I understand that you want an explanation of how to write a number in two equivalent forms as a fraction, decimal, or percent, and you'd like to know the equivalent decimal.

Let's use the number 3/4 as an example:
1. Convert the fraction to a decimal: To convert a fraction to a decimal, simply divide the numerator (top number) by the denominator (bottom number). 3 ÷ 4 = 0.75
2. Convert the fraction to a percent: To convert a fraction to a percent, divide the numerator by the denominator and then multiply the result by 100. (3 ÷ 4) × 100 = 75%
So, the number 3/4 can be written in two equivalent forms: as a decimal (0.75) and as a percent (75%). The equivalent decimal for the given fraction 3/4 is 0.75.

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PLEASE HELP WILL MARK BRAINLY

A one-year subscription to a monthly magazine costs $14.50. The regular newsstand price is $2.10 per issue. How much is saved per issue by paying the subscription price?
(Total cost divided by 12 months)-price per issue = $ saved

Answers

Answer:

14?

Step-by-step explanation:

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What will be the key difference in the energy of the particles in iron at 250 K and 500 K? Please don't joke Sheryl Hansen started a business on May 1, 20--. Analyze the following transactions for the first month of business using T accounts. Label each T account with the title of the account affected and then place the transaction letter and the dollar amount on the debit or credit side. a. Invested cash in the business, $3,100. b. Bought equipment for cash, $500. c. Bought equipment on account, $800. d. Paid cash on account for equipment purchased in transaction (c), $300. e. Withdrew cash for personal use, $700. In union terms, a direct strike occurs: a. when an organized body of workers withholds its labor to force the employer to comply with its demands. b. when union members and their supporters refuse to buy products from a company being struck. c. when workers who have no particular grievance of their own and who may or may not have the same employer decide to strike in support of others. d. when people refuse to patronize companies that handle products of struck companies. A supermarket offers a delivery service. If a customer pays $9 per month, each delivery costs just $2. Write an equation that shows how the total cost for a month, y, depends on the number of deliveries, x. Do not include dollar signs in the equation. Find the length of a rectangular prism with a volume of 5 3/8, a width of 1/3, and a height of 3. which of the following is any tangible item such as a chart, diagram, report, or program file? 4) Calculate the number of spas and solar heaters that should be sold count that will yiled the maximum revenue R(x, y) = - 12 + 160x + 115y - 5x^ - 3y^ - 5xy How did the case of Leo Frank lead to an increase in racial inequality in the South? A. Southern leaders like the Bourbon Triumvirate began to call for an increase of voting rights for immigrants. B. Southern leaders like Tom Watson began an anti-Semitic campaign against Jewish businesses.C. Southern leaders like Henry Grady encouraged poor Southerners to increase Jim Crow laws.D. Southern leaders like the Bourbon Triumvirate proposed the convict lease system. Do you guys think this is necessary? For a mascot? Just read the rules pages 4-6 which type of cannabis startup has the most advantage over the others due to the familiarity of pestle conditions What did Nixon's visit to China prove to the US?A. If you can deal with one communist nation, others will likely join inB. The Soviet Union was close to falling apart and communism would leave Eastern EuropeC. Most communist nations actually practice capitalism and have free electionsD. The communist world was not a single entity, and had many different positions Which of the following is the goal of an argumentative essay? Egocentrism, animism, and artificialism are characteristic of which of Jean Piagets stages of cognitive development?(A) Sensorimotor(B) Preoperational (C) Postformal(D) Concrete operations (E) Formal operations How did the Dred Scott decision affect free African Americans?They were granted citizenship, but enslaved Americans were not.Both enslaved and free African Americans were declared citizens.Just like enslaved African Americans, free African Americans were denied citizenship. What is the slope of this graph?O53o3O-3 Can anyone help me? Please?? Students who sat where you sit 75 years ago who overcame a Depression and won a world war; who fought for civil rights and put a man on the moon.What does the word overcame mean?prevailedneglectedcreatedwitnessed I will mark you as brainly Find inertia tensor () of the block shown in Fig. 6 aboutpoint P. Assume that axes passing through P are Parallel to the oneat point G. Use the following: = + m(T r A mi hermana le gusta mucho (that) _chico.O A. aquelO B. eseO C. esteO D. esa A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 4.20. A sample of 37 honors students is taken and is found to have a mean GPA equal to 4.30. The population standard deviation is assumed to equal 0.40. The parameter to be tested is __________.