A group of 185 incoming first-year students at a university were surveyed randomly in order to determine the factor that influenced their decision to choose to attend the university.

The results of the survey are as shown below.
soccer team: 25
available degree programs: 55
affordability: 65
location: 40
Determine the population, the sample, and the conclusion of the survey.
A.
Population: all of the students at the university
Sample: a group of 185 incoming first-year students
Conclusion: The reason for the majority of the students to choose the university was affordability.
B.
Population: all of the first-year students at the university
Sample: a group of 185 incoming first-year students
Conclusion: The reason for the majority of the students to choose the university was soccer team.
C.
Population: all the first-year students at the university
Sample: a group of 185 incoming first-year female students
Conclusion: The reason for the majority of the students to choose the university was affordability.
D.
Population: all the first-year students at the university
Sample: a group of 185 incoming first-year students
Conclusion: The reason for the majority of the students to choose the university was affordability.

Answers

Answer 1

Answer: D. Population: all the first-year students at the university

Sample: a group of 185 incoming first-year students

Conclusion: The reason for the majority of the students to choose the university was affordability.

Answer 2

Answer:

D. Population: all the first-year students at the university

Sample: a group of 185 incoming first-year students

Conclusion: The reason for the majority of the students to choose the university was affordability..


Related Questions

What is the domain of H(t)?

Answers

The domain of the given function H (t) is 0 ≤ t ≤ 40.

What is the domain of a function?

The collection of all the values for which a function is defined is known as the domain of that function.

We are given that the height of a model rocket, H (t) is a function of time since it was launched, t.

From the graph, we can see that the value of t is represented on the x- axis is ranging from 0 to 40.

Hence, the domain of the given function H (t) is 0 ≤ t ≤ 40.

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PLEASE HELP ME WITH GEOMETRY 4 QUESTIONS FOR 20 POINTS
Please help i dont understand your help helps me alot
Thank you so so much <3

Answers

Answer:

14

Step-by-step explanation:

6/9 = x+2/24

Cross multiply to expand

9( x + 2) = 24x 6

9x + 18 = 144

Subract 18 from both sides

9x = 126 Divide both sides by 9

X = 14

10/ 2x-9 = 20/9

Cross multiply

20( 2x - 9) = 10 x 9

40x - 180 = 90

Add 180 to both sides

40x = 270

Divide both sides by 40

X = 6.75

Scale question

Convert 240miles to inches

240 x 63, 660 = 15,206,400

Ratio is 3:15,206,400

Reduce to lowest term by divide both sides by 3

Scale is 1: 5068800

Which of these could be the area of Circle B? b. About 300 in2
c. About 900 in2
d. About 2,700 in2

Answers

The area of Circle B could be about 300 in², about 900 in², or about 2,700 in² depending on its radius.

To determine which one is correct, you would need to know the radius or diameter of the circle.

Use the formula for the area of a circle, which is

A = πr²,

where A is the area and

r is the radius.

If you have the radius, plug it into the formula and calculate the area.

Compare the calculated area to the options provided (300 in², 900 in², or 2,700 in²)

to determine which one is closest to the area of Circle B.

Without more information about Circle B's radius or diameter, it is impossible to determine the exact area from the

options given.

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Please, I just need some help. I will pick brainiest! Thanks :)

The resistance of an electric stove burner element is 11 ohms. What current flows through this

element when it runs off a 220 volt line?

Answers

The current flows through the element with resistance of an electric stove burner element is 11 ohms when it runs off a 220 volt line is equals to the 20 Ampere.

The resistance of an electric stove burner element is, R = 11 ohms.

The magnitude or amount of potential

difference in a line that is voltage V

= 220 V.

We have to determine the value current flows through this element.

According to ohm's law : If all physical conditions and temperature remain constant, the voltage across a conductor is proportional to the current flowing through it. The expression is, V = I x R

here, I-> the amount of current

V--> potential difference

R--> resistance

The current value flowing through the element is written by I = V/R

=> I = 220 V/11 ohms

=> I = 20 A

Hence, the required current value is 20 A.

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Landon invested $110 in an account paying an interest rate of 4. 1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 5 years?

Answers

The amount in the account after 5 years would be $137.

Continuous compound interest is a method of calculating the interest earned on a principal amount that is continuously reinvested

We can use the formula for continuous compound interest:

A = Pe^(rt)

where:

A = final amount

P = principal amount

e = Euler's number (approximately 2.71828)

r = annual interest rate (as a decimal)

t = time in years

In this case, we have:

P = $110

r = 0.041 (4.1% expressed as a decimal)

t = 5 years

Substituting these values into the formula, we get:

A = 110e^(0.0415)

A ≈ $136.69

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8) Decide whether \( X \) and \( Y \) are good candidates for linear regression in the scatterplot given.

Answers

It is not possible to determine the relationship between the two variables based on this scatterplot.

The scatterplot below does not show a good candidate for linear regression because the points do not follow a clear pattern. There is no consistent trend that shows a correlation between the X and Y variables. Therefore, it is not possible to determine the relationship between the two variables based on this scatterplot.The linear regression is a statistical technique that enables the analysis of relationships between two or more continuous variables. The method attempts to find the line of best fit, which represents the overall relationship between the two variables. A scatterplot, which is a graphical display of a dataset, can be used to determine whether two variables are good candidates for linear regression.In order for two variables to be a good candidate for linear regression, they must have a strong positive or negative correlation. In other words, the points on the scatterplot must follow a clear pattern that shows a linear relationship between the X and Y variables. If there is no clear pattern or the points are randomly scattered, then it is not possible to determine the relationship between the two variables based on a linear regression model.

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6x + 5 = 5x + 8 + 2x
Is x = 3 a solution? Explain.

Answers

x = 3 is not a solution. This is because the numbers on each side after substitution are not equal. To start, we have to replace each x with 3. This leaves us with 18 + 5 = 15 + 8 + 4. Once we simplify, we get 23 = 27. Since 23 ≠ 27, x = 3 is not a solution.

the alvin secretarial service procures temporary office personnel for major corporations. they have found that 50% of their invoices are paid within ten working days. a random sample of 12 invoices is checked. what is the probability that exactly 5 of the invoices will be paid within ten working days? round your answer to four decimal places.

Answers

The probability that exactly 5 of the invoices will be paid within ten working days is 19.34% or 0.1934.

This is a binomial distribution problem, with n = 12 (the sample size) and p = 0.5 (the probability of success, which is an invoice being paid within ten working days). We want to find the probability that exactly 5 of the invoices will be paid within ten working days.

Using the binomial probability formula, the probability of exactly 5 invoices being paid within ten working days is:

P(X = 5) = (12 choose 5) * (0.5)^5 * (1-0.5)^(12-5) = 0.1934

Where (12 choose 5) is the binomial coefficient, which represents the number of ways to choose 5 invoices from a sample of 12.

Therefore, the correct answer is 0.1934 rounded to four decimal places.

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Pls answerrrrr
with simple working

Answers

Answer:

-137

Step-by-step explanation:

23, 15, 7, -1, -9,-17...........

    -8  -8   -8  -8.....

∴ -8n+23

if n = 20

-8(20)+23=-137

Answer:

-137

Step-by-step explanation:

The pattern is -8 every term so

15 + (-8(20-1)) = -137

its pretty much multiplying the rate by what term you want. you subtract the 1 because you started with the first term.

Properties of trapezoids UC^(9) Quadrilateral HIJK is an isosceles trapezoid, HJ=7z-94, and IK=2z+76. What is the value of z ?

Answers

The value of z can be determined by solving the equation 7z-94 = 2z+76, which yields z=35.

To determine the value of z in the given equation, it is necessary to solve the equation 7z-94 = 2z+76. Begin by subtracting 2z from both sides of the equation, which yields 7z-2z-94 = 76. Simplifying this yields 5z-94 = 76. To solve for z, add 94 to both sides of the equation, which yields 5z = 170. Dividing both sides by 5 yields z = 34. Since the equation is not asking for an exact value, it can be rounded to the nearest whole number, which is 35. Therefore, the value of z is 35.

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Grant was making banners from cardboard as a picture to celebrate Parker‘s high school graduation. How many square inches of cardboard will Grant need for each banner that he makes?

5in
4in
8in
10in

Answers

For the standard size banner with a 1-inch margin, Grant would need approximately 1596 square inches of cardboard to make one banner.

Define the term area?

The amount of cardboard needed to make a banner depends on the size of the banner. If we know the dimensions of the banner, we can calculate the area of cardboard needed.

Assuming that the banner is a rectangle, let's say its width is w inches and its height is h inches.

Then, the area of the banner can be calculated as:

Area = width x height

Area = w x h

To find out how many square inches of cardboard are needed, we need to add a margin to the dimensions of the banner to account for the thickness of the cardboard. Let's say the margin is m inches.

Then, the width of the cardboard needed is (w + 2m) inches, and the height of the cardboard needed is (h + 2m) inches.

The area of the cardboard needed can be calculated as:

Area of cardboard = (width of cardboard) x (height of cardboard)

Area of cardboard = (w + 2m) x (h + 2m)

So, the total area of cardboard needed for one banner is:

Total area of cardboard = Area of cardboard + Area of margin

Total area of cardboard = (w + 2m) x (h + 2m) + 4m(w + h + 2m)

if we assume that the banner is 2 feet wide (24 inches) and 4 feet long (48 inches), and we add a margin of 1 inch on each side, then we can calculate the total area of cardboard needed as follows:

Total area of cardboard = (24 + 2) x (48 + 2) + 4(1)(24 + 48 + 2)

Total area of cardboard = 26 x 50 + 4(74)

Total area of cardboard = 1300 + 296

Total area of cardboard = 1596 square inches

So, for this standard size banner with a 1-inch margin, Grant would need approximately 1596 square inches of cardboard to make one banner.

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During the data preparation activities, you have identified small amount of missing numerical data. What would you do? A. I would exclude all observations with missing data. B. I would replace the missing values with the average value of that specific variable. C. Without hesitation I would exclude all variables with missing data. D. None of the above is true.

Answers

Option B is the correct answer.

The correct answer to the given question is Option B, which is "I would replace the missing values with the average value of that specific variable."What are Data Preparation activities?Data preparation activities consist of operations that change the quality, consistency, or completeness of data. These are performed to improve the data's accuracy and, as a result, the resulting insights.When it comes to numerical data, there are certain techniques you can use to deal with missing data. There are many ways to deal with missing numerical data, but one of the simplest is to use the mean or median value of the dataset to replace the missing values. This method is also known as mean imputation.Therefore, if during the data preparation activities, you have identified a small amount of missing numerical data, you should replace the missing values with the average value of that specific variable. Therefore, Option B is the correct answer. The other options such as excluding all observations with missing data, excluding all variables with missing data, and none of the above is true are not accurate.

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An item is regularly priced at $70. Shen bought it on sale for 20% off the regular price. How much did Shen pay?

Answers

An item is regularly priced at 70. Shen bought it on sale for 20% off the regular price. Shen paid 56 for the item on sale.

To determine how much Shen paid for the item on sale, follow these steps:

Find the discount amount

Subtract the discount amount from the regular price.

Calculate the discount amount.

Discount amount = Regular price × Discount percentage

Discount amount = 70 × 20%

Discount amount = 70 × 0.20

Discount amount = 14

Calculate the sale price.

Sale price = Regular price - Discount amount

Sale price = 70 - 14

Sale price = 56

Shen paid 56 for the item on sale.

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Which equation represents exponential growth?

Answers

Answer:

Option C) is the correct answer.

Find sin(cos^-1(1/2)) and tan (sec^-1(x/3))

Answers

√3/2  and √3x / x.

The value of sin (cos-1 (1/2)) and tan (sec-1 (x/3)) are:Sin (cos-1 (1/2)):In the trigonometry section, the cosine inverse (or arccosine) is used to find the angle whose cosine value is equal to a given number.The cosine inverse (or arccosine) of a number is the angle whose cosine is equal to that number (cos-1). Therefore, cos-1 (1/2) represents the angle that has a cosine of 1/2.The sine is the ratio of the length of the opposite side to the length of the hypotenuse of a right triangle.Sin (cos-1 (1/2)) = sqrt (1 - cos2 (cos-1 (1/2)))Since cos (cos-1 (1/2)) = 1/2, we can substitute it.Sin (cos-1 (1/2)) = sqrt (1 - (1/2)2) = sqrt (3/4) = √3/2Tan (sec-1 (x/3)):The secant inverse (or arcsecant) is used to find the angle whose secant value is equal to a given number.The secant inverse (or arcsecant) of a number is the angle whose secant is equal to that number (sec-1). Therefore, sec-1 (x/3) represents the angle that has a secant of x/3.The tangent is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle.Tan (sec-1 (x/3)) = sqrt (sec2 (sec-1 (x/3)))Since sec (sec-1 (x/3)) = 3/x, we can substitute it.Tan (sec-1 (x/3)) = sqrt (3/x) = √3 /√x = (√3 /√x) × (√x /√x) = √3x / xTherefore, sin (cos-1 (1/2)) = √3/2 and tan (sec-1 (x/3)) = √3x / x.

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What single decimal multiplier would you use to increase by 5% followed by a 15% increase?

Answers

Answer:

(1.2075)

Step-by-step explanation:

Lets assume we are increasing a price on a $100 item to help visualize the steps.

The two steps of 5% and then 15% can each be expressed as:

5%:  (1+0.05)  [The 1 represents the fact that the final cost is full price (1) plus 5%(0.05)]

15%  (1+0.15)   [Same explanation, but now with 0.15 for 15%]

We can apply these factors individually:

Assume a base of $100:

5% increase would make it $105  [$100*(1.05)=$105]

15% increase:  On top of the 5%, we would go to:  $105*(1.15) = $120.75

Or we can use a single multiplier.

If we look at the steps from above, we see that the algebra consisted of taking the origianl price ($100) and multiplying it twice:  once with (1+0.05) and once with (1+1.15).  Write this in the form of an equation:

  ($100)*(1+0.05)*(1+0.15) = $120.75

Let's multiply (1+0.05)*(1+0.15)

                       = (1.2075)

We can use this single factor (multiplier) to find the correct/same value as before:

              (1.2075)($100) = $120.75

I don’t understand can you help me please

Answers

-3(12) = (x-6/-3)
-36 = x-6 / -3
108 = x - 6
114 = x

Olivia ate at the same restaurant three times. Each visit, she ordered a sandwich and left a $2. 25 tip. She spent a total of $39. What is an equation that represents this situation, if c represents the cost of a salad?

Answers

Each visit, Olivia ordered a sandwich and left a $2. 25 tip. She spent a total of $39. Therefore, an equation that represents this situation, if c represents the cost of a salad is  4(x+2.25) = 39.

Equation:

An equation is a formula that expresses that two expressions are equal by joining them with the equal sign =.The word comparison and its cognates in other languages ​​may have subtly different meanings; for example, in French, an equation is defined to contain one or more variables, and in English any well-formed formula composed of two expressions linked by equal signs is an equation.

According to the Question:

Let the cost of each salad = c

Therefore we can write

    4(x+2.25) = 39

or, x+ 2.5 = 39

or, x = 39 − 2.5

or, x = 39 − 2.5

or, x = 26.5

Therefore, The equation that represents this situation, if c represents the cost of a salad is 4(x+2.25) = 39.

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El perímetro del triangulo es 42 dm. Al determinar la medida de sus lados, obtiene que el valor de x es:

Answers

The perimeter of the triangle present in above figure is 42 dm. Then the value of x is equals to the 9 dm and all three sides of triangle are 9 dm, 11 dm and 22 dm.

We have a triangle present in above figure. The perimeter is the length of the boundaries of a shape. A triangle is a type of polygon with three sides. In other words, it is a closed two dimensional shape having three straight sides. So, perimeter of a triangle = sum of all three sides. Here, perimeter of triangle = 42 dm

Now, first side length of triangle= (3x - 5 ) dm

Second side length = (x + 2) dm

Third side length = x dm

Now, using perimeter formula for triangle,

=> 3x - 5 + x + x + 2 = 42

=> 5x = 42 + 5 - 2 = 45

=> x = 45/5 = 9

3x - 5 = 22 dm

x + 2 = 11 dm

So, sides of triangle are 9 dm, 11 dm and 22 dm.

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Complete question :

The perimeter of the triangle is 42 dm. By determining the measure of its sides, he obtains that the value of x is _? see the above figure

PLEASE HELLP MY WITH THIS An experiment consists of randomly drawing a card and recording its suit, then rolling a die and recording whether it is even or odd. The following tree diagram represents some of the possible outcomes. A 2-column tree diagram: Card & Die. The card column shows Heart, Diamond, & Club, each of which branches to even & odd in the Die column.What needs to be done to complete the tree diagram?

Answers

Add "Spade" to the Card column, with branches to "Even" and "Odd" in the Die column. Thus, option 3 is correct.

What is the probability?

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο cοmplete the tree diagram, we need tο add the missing branch fοr the spades suit in the card cοlumn.

Here is the cοmpleted tree diagram:

We have added the missing branch fοr the spades suit, which alsο branches intο even and οdd fοr the die rοll. We have alsο filled in the οutcοmes fοr each branch οf the tree, which include the pοssible values fοr the card (2, 3, 4, 5, 6, οr 1 fοr Ace) and the die rοll (even οr οdd).

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Find the length of MN. Round to the nearest tenth of a foot.

Answers

The length of MN is equal to: 32.2 ft.

What is Pythagorean theorem?

In Mathematics, Pythagorean's theorem is modeled by the following mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the length of sides of a right-angled triangle.

In order to determine the length of MN in right-angled triangle LNM, we would have to apply Pythagorean's theorem.

LN² + MN² = LM²

16² + MN² = 36²

256 + MN² = 1,296

MN² = 1,296 - 256

MN² = 1,040

MN = √1,040

MN = 32.2 ft.

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You run a trail at 7 mph and walk back at 3 mph. If your total time is 2 hours, your round-trip distance is how many miles?

Answers

The answer is 6.3 miles RT

7. Find the x-intercept of the line having
the equation 2x - 5y = 8.

A. -5/2
B. 4
C. -4
D. -2/5
E. 2/5

Answers

Answer:

E

Step-by-step explanation:

My answer

[tex] \frac{2}{5} [/tex]

make a mathematical expression of the dimension

Answers

The expression of the dimensions are 3w - 2 by w

How to determine the expression of the dimensions

From the question, we have the following parameters that can be used in our computation:

The length of a rectangle is 2 less than 3 times as long as the width

Using the following variable definitions, we have

l = the length of the rectanglew = the width of the rectangle

Based on the given information, we can express the length (l) in terms of the width (w):

l = 3w - 2

Hence, the dimensions are 3w - 2 by w

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What is 5 to the fourth power?

Answers

The correct response, based on the facts provided, is 625.

What does a math power mean?

When a base number is raised to an exponent in mathematics, the exponent represents how many times the base number has been multiplied, and the base amount is the factor that is multiplied by itself.

What do you call 5 to the power of?

In mathematics and mathematics, the fifth power, or subsolid, of a number, n, is obtained by multiplying five occurrences of n around each other:[tex]n⁵ = n × n × n × n × n.[/tex]The fourth power of a number or the squares of a number of times its cube can also be used to create fifth powers.

5 to the fourth power (also written as 5⁴) is:

[tex]5 × 5 × 5 × 5 = 625[/tex]

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I need help with this question

Answers

The value of cos C is 3/5

What is trigonometric ratio?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

In a right angle triangle, the longest side is called the hypotenuse and the other two sides are called opposite and adjacent. The line facing the acute angle( tetha) is the opposite. The ratio of the sides with the acute angle are called trigonometric ratio.

sin(tetha) = opp/ hyp

cos( tetha) = adj/ hyp

tan(tetha) = opp/adj

In the triangle, using angle C,

opposite = 4

adjascent = 3 and hypotenuse = 5

cos (C) = 3/5

therefore the value of cos (C) = 3/5

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A grounds committee of a housing community plans to build a basketball court in an empty rectangular field

Answers

The mathematical equation f(w) = w² - 6w provides a representation of the remaining surface area, measured in square meters, of the field following the construction of the basketball court.

The rectangular field has an area of length x width, which can be expressed as (2w)(w) = 2w² square meters.

The basketball court has an area of length x width, which can be expressed as (w)(w+6) = w² + 6w square meters.

To find the remaining area of the field after the basketball court is built, we need to subtract the area of the basketball court from the area of the rectangular field.

So the function f(w) representing the remaining area, in square meters, is:

f(w) = 2w² - (w² + 6w)

f(w) = 2w² - w² - 6w

f(w) = w² - 6w

Therefore, the function f(w) = w² - 6w represents the area, in square meters, remaining of the field once the basketball court is built.

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Complete question:

A grounds committee of a housing community plans to build a basketball court in an empty rectangular field.

1. The rectangular field-has a width of 2w meters and a length that is 13 meters longer than its width.

2. The basketball court has a width of w meters and a length that is 6 meters longer than its width.

Which function, f(w), represents the area, in square meters, remaining of the field once the basketball court is built?

decrease 72 in the ratio 4:3​

Answers

Answer:

4+3=7

4/7*72/1=288/7=41.1

3/7*72/1=216/7=30.9

41.1:30.9=4:3

What is the volume of a cylinder with a height of 2 feet and a radius of 6 feet?

Use 3.14 for pi.

please help me use this for a study guide i have a test tomorrow!!

Answers

The volume of a cylinder is πr²h.

Given, that H = 2 ft and R = 6 Feet.

So V = πr²h = 3.14 x 6 x 6 x 2

                   = 3.14 * 72

                   = 226.08 ft³

Answer:

The volume of the cylinder is 226.08 feet^3

Step-by-step explanation:

The volume of a 3-d shape with sides straight up is

BaseArea × height.

For a cylinder the base is a circle. Area of a circle is pi•r^2

So the Volume of your cylinder is:

V = pi•r^2 • h

Fill in the info given.

V = 3.14 • 6^2 • 2

= 226.08

The units for volume are cubed, that is, 3rd power.

So 226.08 cubed ft

or 226.08 ft^3

Hope this helps!

An investor buys stock in a company and in the 12 months after she invests the value of the stock decreases by 30%. By what amount will the value of the stock need to go up from there in order that the price of the stock will be equal to what investor first paid for it?

Answers

The value of the stock needs to go up by 42.86% to be equal to what the investor first paid for it.

Let's say the investor initially paid $100 for the stock. A 30% decrease in the value of the stock would mean it is now worth $70. To bring the value of the stock back up to $100, it needs to increase by $30, which is 42.86% of the current value ($30/$70).

Therefore, the value of the stock needs to go up by 42.86% from its current value for the investor to break even.

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MLK had a specific strategy that he employedin working towards achieving civil rights. Whatwas it? 7Write a Two-Column ProofGiven: m 8-125-m/3-55Prove: pr3/45/67/82 Rewrite active voice to passive voice1.I clean my room every day. 2.My sister is making a tasty cake now3.Tom bought a nice present yesterday. 4.Ben repaired my computer yesterday. 5.You have made a lot of mistakes. 1. Let g(x)=3x+4cos(1/2 x)a. What is the linear approximation to g(x) around x=0.b. Using the linear approximation, approximate 3(0.2) +4cos(0.1).2. A particle moves in such a way that at times t Please help really needed Which of the following developments is the most direct effect of the interstate highway plan depicted in the image?A.) The United States sending financial and supply aid to countries fighting against communist threats to their democraciesB.) The growth of the military-industrial complex to deter threats from potential enemies to the United States and the spread of democracyC.) The increased size of the federal government through the creation of federal programs designed to help alleviate the conditions of povertyD.) The United States continuing their interventionist foreign policy rather than returning to isolationism Americans were unhappy with President Hoover during the Great Depressionbecause instead of government assistance to help the economy recover, hebelieved that:OA. the situation was temporary and would correct itself.OB. foreign governments should aid the American people.OC. individuals, private companies, and charities should do it.OD. the states should take care of their own people.SUBMIT Please help answer the linked question In the U.S., 16% of the population is Rh-, due to a homozygous recessive pair of alleles. From this datadetermine:a. the frequency of the recessive alleleb. the frequency of the dominant allelec. the percentage of homozygous dominants and heterozygotes in the population What are the similarities and differences in nonprofit and for-profit agencies? Provide an example of each. Some Japanese Americans found opportunities in the military as part of the:OA. Navajo code talkers.B. Red Cross.OC. Tuskegee Airmen.D. 442nd Regimental Combat Team.SUBMIT Economic Systems: Communism Versus CapitalismThis activity is important because an economic system describes how a particular society distributes its resources to produce goods and services. A central issue of economics is how to fulfill an unlimited demand for goods and services in a world with a limited supply of resources. Different economic systems attempt to resolve this central issue in numerous ways.The goal of this exercise is to demonstrate your understanding of the fundamental differences of communism and capitalism, two of the basic economic systems found in the world today, and how they address the distribution of resources.Match each statement with the correct aspect of the economic system for both capitalism and communism.Profits - CommunismProduct Availability - CommunismBusiness Ownership - CapitalismCompetition - CapitalismCompetition - CommunismPrice - CapitalismProfits - CapitalismEmployment Options - CommunismPrice - CommunismProduct Availability - CapitalismEmployment Options - CapitalismBusiness Ownership - CommunismMatch each of the options above to the items below.When Suzanna Kogan was a teenager, she worked at the state-owned bread factory where everyone in her family worked. - 8. Employment Options- CapitalismWhen John Wakoski was a teenager, he worked at his uncles famous artisan pottery shop on the weekends.- 11. Employment Options- CommunismSince bread production and sales are the same each month, the factory managers can ignore competition from other bread companies.- 5. Competition- CommunismJack Sampson works in a highly competitive industry. He has to make sure he knows the trends of his market so he always offers good value and retains his competitive advantage.- 4. Competition- CapitalismAll of the money earned beyond the cost of running the shoe manufacturing business goes to the government.Selena Franka chose to give all the money earned beyond the cost of running her footwear company to charity.Since sweater selection is so limited, Penny has a difficult time finding one to purchase that makes her stand out from the crowd.When Janet goes to the mall to buy shorts for summer, she becomes frustrated when she cant decide which ones to buy due to so many different choices.Relative to peoples income, the price for gasoline is quite high, so those who own cars are very conscientious about using them.Each time there is a risk that the oil supply will decrease, or the supply does in fact decrease, gasoline prices skyrocket.Mike receives notice from the government regarding where he is assigned to work.Sara completes her college application to start her studies in Accounting.The first 4 are answered, unsure if correct but please match the rest. Suppose we haveX1,,Xn ~ N(,2) with density,f(x)=\frac{1}{\sigma{\sqrt{2\pi}}}e^{\frac{-(x-\mu)^{2}}{2\sigma^{2}}}x\epsilon(-\propto,\propto)1) DoesS^{2}attain CRLB (Cramer-Rao Lower Bound) for\sigma^{^{2}}?2) Would the MLE for\sigma^{^{2}},\widehat{\sigma ^{2}}=\frac{1}{n}\sum_{i=1}^{n}(X_{i}-\bar{X})^{2}, be the UMVUE if attained by CRLB?Please show how you derived your answers.Unbiased estimator for\sigma^{^{2}},S^{2}=\frac{1}{n-1} \sum_{i=1}^{n}(X_{i}-\bar{X})^{2}, has varianceVar(S^{2})=\frac{2\sigma^{4}}{n-1} How might "bad evidence" factor into Jay's testimony? A quantity of gas occupied a volume of 0. 3m cube at a pressure of 300KN/m square and a temperature of 20 degree Celsius the gas compressed isothermally to a pressure of of 800KN/m square and then expanded adiabatically to it's initial volume (d) If 48.0 g of NaCl react with 19.0 g of HSO4, what mass of Na2SO4 will be produced? after one frog's heart has been stimulated, an extract of fluid from that heart can make a second frog's heart beat faster. what conclusion did otto loewi draw from these results? a. transmission at synapses is a chemical event b .the sympathetic and parasympathetic nervous systems are antagonistic. c. transmission at heart muscle synapses is electrical. d. hormones facilitate the actions of the nervous system. D. Complete this conversation with forms of the verb TRAER. Traigo, Traes, Trae, Traemos, Trais, Traen Roque: ____________________ (yo) un pastel? Lidia: Qu buena idea! (T) ________________ el pastel. Gracias! Roque: S, y Emilio __________________ (l) sndwiches como siempre. Lidia: Vamos a comer muy bien! Why are unbiased estimators preferred over biased estimators?A. Unbiased estimators behave with reliable results, where as biased estimators are inconsistent. B. Unbiased estimators require a greater sample size which gives greater accuracy over biased estimators. C. Unbiased estimators retain original distribution of the same, where as biased estimators follow a normal distributionD. Unbiased estimators follow the normal distribution, where as biased estimators follow original distribution Answer this question please