one and two fourths plus three and three fourths
a
two and one fourth
b
four and one fourth
c
five and one fourth
d
six and one fourth

Answers

Answer 1

Answer:

c

Step-by-step explanation:

im smart

Answer 2

Answer:

its c

Step-by-step explanation:

one plus three, then three plus 2 of fourths carry over the one to the 4 and it becomes 5 and 1 fourth


Related Questions

Answer for ten points!

Answers

Answer:

Step-by-step explanation:

The radius of a circle is measured to be (10.6±0.6)m. Calculate each of the following and give the uncertainty in each value. (a) the area of the circle m
2
±m
2
(b) the circumference of the circle m±m

Answers

(a) The area of the circle is approximately  352.77 m² ± 39.77 m².

(b) The circumference of the circle is approximately 66.77 m ± 3.77 m.

To calculate the area and circumference of the circle and their uncertainties, we'll use the following formulas: (a) Area of a circle: A = πr²

(b) Circumference of a circle: C = 2πr

Given: Radius (r) = 10.6 ± 0.6 m

(a) Area of the Circle:

To calculate the area, we'll substitute the given value of the radius into the formula and calculate the area.

A = πr²

  = π(10.6 m)²

  = π(112.36 m²)

  ≈ 352.77 m² (rounded to two decimal places)

To determine the uncertainty in the area, we'll use the formula for propagated uncertainty:

Uncertainty in A = |(∂A/∂r)| × Uncertainty in r

Where (∂A/∂r) is the partial derivative of A with respect to r.

∂A/∂r = 2πr

Substituting the values:

Uncertainty in A = |(2πr)| × Uncertainty in r

                       = |(2π × 10.6 m)| × 0.6 m

                       = 39.77 m² (rounded to two decimal places)

Therefore, the area of the circle is approximately 352.77 m² ± 39.77 m².

(b) Circumference of the Circle: To calculate the circumference, we'll substitute the given value of the radius into the formula and calculate the circumference.

C = 2πr

  = 2π(10.6 m)

  ≈ 66.77 m (rounded to two decimal places)

To determine the uncertainty in the circumference, we'll again use the formula for propagated uncertainty:

Uncertainty in C = |(∂C/∂r)| × Uncertainty in r

Where (∂C/∂r) is the partial derivative of C with respect to r.

∂C/∂r = 2π

Substituting the values:

Uncertainty in C = |2π| × Uncertainty in r

                      = 2π × 0.6 m

                      ≈ 3.77 m (rounded to two decimal places)

Therefore, the circumference of the circle is approximately 66.77 m ± 3.77 m.

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find the hypotenuse: c =

find the hypotenuse: c =

Answers

The answer is 1.5 that is because

what is the main difference between the dot product and the cross product? how does orthogonality relate to both results?

Answers

The dot product is a scalar quantity that represents the projection of one vector onto another, and can be used to calculate the angle between two vectors.

The cross product is a vector quantity that represents the magnitude and direction of the orthogonal projection of one vector onto another. Orthogonality is related to both results in that the dot product of two orthogonal vectors is zero, while the cross product of two parallel vectors is also zero. In addition to that, the cross product of two non-zero vectors results in a third vector that is orthogonal to both.

The dot product is a scalar product that calculates the projection of one vector onto another. The cross product is a vector product that calculates the orthogonal component of one vector with respect to another.

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please solve for x!!!

please solve for x!!!

Answers

Answer:

2x+156=4x+192

192-156=-4x+2x

36=-2x

x=-18

Step-by-step explanation:

There are three plants that manufacture the boots, two distribution centers, and five warehouses. We need to ship the boots to the warehouses at a minimum cost satisfying the constraints outlined in the spreadsheet. Namely, each plant can only produce so much product, the amount of boots passing through the distribution centers has to remain constant

Answers

The problem can be modeled as a linear programming problem. We need to minimize the total cost of shipping the boots, which can be represented as a linear combination of the shipment quantities.

Thus, the objective function to be minimized can be written as:

Minimize Z = 4x11 + 5x12 + 7x13 + 6

32 + y33 ≤ 40 (capacity limit at warehouse 3)

y41 + y42 + y43 ≤ 30 (capacity limit at warehouse 4)

y51 + y52 + y53 ≤ 45 (capacity limit at warehouse 5)

xij, yjk ≥ 0 (non-negativity constraint)

Thus, the complete linear programming problem can be formulated as:

Minimize Z = 4x11 + 5x12 + 7x13 + 6x21 + 4x22 + 5x23 + 4y11 + 3y12 + 6y13 + 5y21 + 5y22 + 4y23 + 6y31 + 7y32 + 5y33 + 4y41 + 6y42 + 5y43 + 5y51 + 4y52 + 6y53

Subject to:

x11 + x12 + x13 ≤ 60

x21 + x22 + x23 ≤ 90

x11 + x21 = y11 + y21 + y31 + y41 + y51

x12 + x22 = y12 + y22 + y32 + y42 + y52

x13 + x23 = y13 + y23 + y33 + y43 + y53

y11 + y12 + y13 ≤ 35

y21 + y22 + y23 ≤ 50

y31 + y32 + y33 ≤ 40

y41 + y42 + y43 ≤ 30

y51 + y52 + y53 ≤ 45

xij, yjk ≥ 0

Solving this linear programming problem using a suitable solver will provide us with the optimal values of xij and yjk, which will help us in determining the minimum cost required for shipping the boots while satisfying all the constraints.

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If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x)

A) 2x-3
B)3x-3
C)4x+1
D)2x-1

Answers

Answer:

C.

Step-by-step explanation:

If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x)A) 2x-3B)3x-3C)4x+1D)2x-1

Find the area of the trapezoid. Leave your answer in simplest radical form.

Find the area of the trapezoid. Leave your answer in simplest radical form.

Answers

The area of the trapezoid is 140√3 square inches, in simplest radical form.

To find the area of a trapezoid, we can use the formula:

Area = (1/2) * (a + b) * h,

where "a" and "b" are the lengths of the parallel sides and "h" is the height of the trapezoid.

In this case, the lengths of the parallel sides are 20 + 6 = 26 inches and 14 inches, and the height of the trapezoid is not given. However, we can find the height by using the given angle of 60 degrees.

To find the height, we can draw a perpendicular line from one of the parallel sides to the other, forming a right triangle. The given angle of 60 degrees is opposite the side with length 14 inches. Using trigonometry, we can determine the height:

height = 14 * sin(60) = 14 * (√3/2) = 7√3 inches.

Now we can substitute the values into the area formula:

Area = (1/2) * (26 + 14) * (7√3)

= (1/2) * 40 * (7√3)

= 20 * (7√3)

= 140√3 square inches.

Therefore, the area of the trapezoid is 140√3 square inches, in simplest radical form.

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If the population standard deviation of a sample increases without other changes, what is most likely to happen to the confidence interval?

Answers

If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to widen.

This is because the standard deviation is a measure of the spread of the data, so if it increases, the data points are more spread out from the mean. As a result, the range of values that could reasonably contain the true population parameter (i.e., the confidence interval) needs to be wider to account for the increased variability in the sample.
If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to become wider.
When standard deviation increases, it indicates more variability in the data. As a result, the confidence interval, which is a range of values that estimates the true population parameter with a certain level of confidence, needs to be wider to account for the increased variability. This ensures that the true population parameter is still captured within the interval with the same level of confidence.

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.When developing groups, there will almost always be disagreements and conflicts as members work to develop a common understanding. This stage of group development is called○ forming.○ norming.○ performing.○ storming.○ adjourning.

Answers

The stage of group development that is characterized by disagreements and conflicts is called storming. During this stage, group members may have different ideas and opinions about how to approach tasks and goals, and they may struggle to find a common understanding.

Conflict can arise as individuals compete for leadership roles or try to assert their ideas over others. However, this stage is important for groups to progress towards their goals as it allows for open communication and the airing of different perspectives. Eventually, through negotiation and compromise, groups move on to the norming stage where a common understanding is established and roles are defined. From there, groups move on to performing, where they are able to work together effectively towards their goals.

Finally, the adjourning stage is where the group disbands after reaching their goals or completing their tasks.

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two of the interior angles of a triangle are 45.5 degrees and 14.6 degrees. what is the third interior angle of the triangle?

Answers

The third interior angle of the triangle is 119.9 degrees

Triangle is a closed polygon consist of three sides, three angle or three segment.

Triangle has three angle which if we sum all of those three angle it will be 180 degrees.

Triangle can be divided into several type :

1.  Equilateral triangle which all of the angle is equal ( 180 degrees / 3 = 60 degrees each )

2. Isosceles triangle which have two equal angle, and the third angle is different

3. Scalene triangle which all of the angle is different

From the question, we have data :

1. First Angle is 45.5 degrees

2. Second Angle is 14.6 degrees

For the Third angle, we just simply subtract 180 degrees with the first and second angle. So it will be :

Third Angle = 180 degrees - ( 45.5 degrees + 14.6 degrees )

                    = 180 degrees - 60.1 degrees

                    = 119.9 degrees

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What is happening in the graph shown below?
Distance (meters)
09
A
N
0
1
Motion of an Object
2
3 4 5
Time (seconds)
7 8
OA. The object moves away from the origin at a speed of 3 m/s, stands still 6 m away from the origin for 3 seconds, then moves
toward the origin at a speed of 2 m/s.
OB. The object moves toward the origin at a speed of 6 m/s, stands still 6 m away from the origin for 3 seconds, then moves away
from the origin at a speed of 8 m/s.
OC. The object moves toward the origin at a speed of 3 m/s, stands still 6 m away from the origin for 3 seconds, then moves away
from the origin at a speed of 2 m/s.

Answers

A statement which correctly describes the graph shown below is: A. The object moves away from the origin at a speed of 3 m/s, stands still 6 m away from the origin for 3 seconds, then moves toward the origin at a speed of 2 m/s.

What is a position vs time graph?

In Mathematics, a position vs time graph can be defined as a type of graph that is used to graphically represent the distance traveled by an object from its starting position with respect to the time when it is started moving.

Generally speaking, the position or distance traveled by a physical object in a position vs time graph is always plotted on the y-coordinate while time is always plotted on the x-coordinate (x-axis).

In this scenario, the speed of the object from the origin can be calculated as follows:

Speed = distance/time

Speed = 6/2

Speed = 3 m/s.

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What is happening in the graph shown below?Distance (meters)09AN01Motion of an Object23 4 5Time (seconds)7

Kathy ell ome pie at a bakery he cut each pie into 6 piece to ell individually he ell 5/6 of a pie each hour How many whole pie did Kathy ell in 36 hour?

Answers

Step-by-step explanation:

she sell 5piece out of 6 per hour

for 36 hour, she sell:

5 × 36 = 180piece of pie

one pie is cut to 6 piece

180/6 = 30pie

A cup has some coins in it.

The cup tips over and 1 coin falls out. What is the probability of a penny falling out?

A cup has some coins in it.The cup tips over and 1 coin falls out. What is the probability of a penny

Answers

The probability of a penny falling out is,

⇒ 3 / 11

We have to given that;

A cup has some coins in it.

And, The cup tips over and 1 coin falls out.

Here, By given table;

Total number of coins are,

⇒ 3 + 5 + 2 + 1

And, Number of penny coins are,

⇒ 3

Hence, The probability of a penny falling out is,

⇒ P = number of penny / total number of coins

⇒ P = 3 / 11

So, The probability of a penny falling out is,

⇒ 3 / 11

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Find the diagonal of a square whose sides are of the given measure.

Given = 7√3

Answers

Step-by-step explanation:

Use the Pythagorean theorem: a^2 + b^2 = c^2. In this case, sides a and b are each 7sqrt(3), and c is the diagonal of the square.

a^2 + b^2 = c^2

(7sqrt3)^2 + (7sqrt3)^2 = c^2

294 = c^2

c = sqrt(294) = 7sqrt(6)

How do you find the maximum number?

Answers

To find the maximum number in a list of numbers, we go through the whole list of numbers and compare each values.

We know that the maximum number is nothing but a number having the largest value in the data set.

To find the maximum number in a list of numbers, we go through the whole list of numbers and compare each values.

The maximum number in the list is the largest value found when all values have been compared.

For example, in the list of numbers 23, 98, 76, 90, 17, 71

the maximum number is 98

Therefore, the maximum number in the list is the largest value found when all values have been compared.

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There are 12 cans of corn in a case. Each can of corn is 10 ounces. If a case of corn costs $10. 68, what is the unit price per can of corn? a. $0. 09 b. $0. 11 c. $0. 89 d. $1. 07 Please select the best answer from the choices provided A B C D.

Answers

A case of corn containing 12 cans costs $10.68. Dividing the total cost by the number of cans gives a unit price of $0.89 per can. Therefore, the correct answer is c. $0.89.



To find the unit price per can of corn, divide the total cost of the case by the number of cans in the case.

The case of corn costs $10.68, and there are 12 cans in the case. Therefore, the unit price per can can be calculated as:

Unit price per can = Total cost of the case / Number of cans in the case

Unit price per can = $10.68 / 12

To simplify the calculation, let's divide the numerator and denominator by 12:

Unit price per can = $0.89

So, the unit price per can of corn is $0.89.

The correct answer is c. $0.89.

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∠A and \angle B∠B are complementary angles. If m\angle A=(2x+10)^{\circ}∠A=(2x+10)
and m\angle B=(3x+15)^{\circ}∠B=(3x+15)
, then find the measure of \angle B∠B.

Answers

Answer:

Step-by-step explanation:

A and \angle BB are complementary angles. If m\angle A=(2x+10)^{\circ}A=(2x+10) and m\angle B=(3x+15)^{\circ}B=(3x+15)

62 less than j i need to know this answer immediately please

Answers

Answer:

62>j

Step-by-step explanation:

mrk me brainliest plz

Find the new coordinates for the image under the given dilation. Rhombus WXYZ with vertices W(1, 0), X (4,-1), Y(5,-4), and Z(2, -3): k = 3. W' (.) x' (,) X' Y'(,) Z' ( ​

Find the new coordinates for the image under the given dilation. Rhombus WXYZ with vertices W(1, 0),

Answers

the new coordinates of the rhombus W'X'Y'Z' after a dilation with scale factor k=3 are: \(W'(3,0), X'(12,-3), Y'(15,-12), Z'(6,-9)\)

What are the coordinates?

To find the new coordinates of the image after dilation, we need to multiply the coordinates of each vertex by the scale factor k = 3.

Let's start with vertex W(1,0):

Multiply the x-coordinate by  \(3: 1 *\times 3 = 3\)

Multiply the y-coordinate by \(3: 0 \times 3 = 0\)

So the new coordinates of W' are \((3,0).\)

Next, let's look at vertex X(4,-1):

Multiply the x-coordinate by \(3: 4 \times 3 = 12\)

Multiply the y-coordinate by \(3: -1 \times 3 = -3\)

So the new coordinates of X' are \((12,-3).\)

Now for vertex Y(5,-4):

Multiply the x-coordinate by \(3: 5 \times 3 = 15\)

Multiply the y-coordinate by \(3: -4 \times3 = -12\)

So the new coordinates of Y' are  \((15,-12).\)

Finally, let's consider vertex Z(2,-3):

Multiply the x-coordinate by  \(3: 2 \times 3 = 6\)

Multiply the y-coordinate by  \(3: -3 \times3 = -9\)

So the new coordinates of Z' are \((6,-9)\)  .

Therefore, the new coordinates of the rhombus  \(W'X'Y'Z'\) after a dilation with scale factor k=3 are:

\(W'(3,0)\)

\(X'(12,-3)\)

\(Y'(15,-12)\)

\(Z'(6,-9)\)

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Danika live 5 block from her chool. If he walk to and from chool 5 day each week how many block doe he walk in one week?

Answers

Danika walks 50 blocks in one week.

Multiplication is a mathematical operation that embodies the fundamental concept of repeated addition of the same integer. The multiplied numbers are known as the factors, and the outcome of the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to make repetitive adding of the same number easier. It is used for combining groups of identical size.

As per the data given,

We have,

Danika lives at 5 blocks from her school.

As Danika walks 5 blocks to and from school, making her round trip

So, total distance covered by Danika will be: 5 blocks + 5 blocks = 10 blocks.

As Danika walks to and from school 5 days a week,

Hence, she walks 10 blocks * 5 days = 50 blocks in one week.

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A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring.
Select one:
True
False

Answers

This statement is true

A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring. Probability is the measure of the likelihood of a random event happening, and it is expressed as a number between 0 and 1, with 0 implying that the event would never occur and 1 implying that it is certain to happen.

The probability of an event happening is referred to as its likelihood. Probability can be expressed as a fraction, percentage, or decimal, and it is a vital tool in statistics. It is frequently utilized in mathematics to estimate real-world situations that involve random variables such as coin flips, weather patterns, stock market trends, and even sporting events.

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PLSS HELP I need answers

PLSS HELP I need answers

Answers

Answer:

4.66666666667 to be exact

Step-by-step explanation:

divide 3 into 14

-NULL

Brainliest will be appreciated thank you!

Criticize the following in terms of the rules for definition by genus and difference. After identifying the difficulty (or difficulties), state the rule (or rules) that are being violated. If the definition is either too narrow or too broad, explain why.

12. A raincoat is an outer garment of plastic that repels water.

13. A hazard is anything that is dangerous.

—Safety with Beef Cattle, U.S. Occupational Safety and Health Administration, 1976

14. To sneeze [is] to emit wind audibly by the nose.

—Samuel Johnson, Dictionary, 1814

15. A bore is a person who talks when you want him to listen.

—Ambrose Bierce, 1906

Answers

In the given definitions, there are several difficulties and violations of the rules for definition by genus and difference. These include ambiguity, lack of specificity, and the inclusion of irrelevant information.

The rules being violated include the requirement for clear and concise definitions, inclusion of essential characteristics, and avoiding irrelevant or subjective statements.

12. The definition of a raincoat as an outer garment of plastic that repels water is too broad. It lacks specificity regarding the material and construction of the raincoat, as not all raincoats are made of plastic. Additionally, the use of "outer garment" is subjective and does not provide a clear distinction from other types of clothing.

13. The definition of a hazard as anything that is dangerous is too broad and subjective. It fails to provide a specific category or characteristics that define what qualifies as a hazard. The definition should include specific criteria or conditions that identify a hazard, such as the potential to cause harm or risk to safety.

14. The definition of sneezing as emitting wind audibly by the nose is too narrow and lacks clarity. It excludes other aspects of sneezing, such as the involuntary reflex and the expulsion of air through the mouth. The definition should encompass the essential characteristics of sneezing, including the reflexive nature and expulsion of air to clear the nasal passages.

15. The definition of a bore as a person who talks when you want him to listen is subjective and relies on personal preference. It does not provide objective criteria or essential characteristics to define a bore. A more appropriate definition would focus on the tendency to dominate conversations or disregard the interest or input of others.

In conclusion, these definitions violate the rules for definition by genus and difference by lacking specificity, including irrelevant information, and relying on subjective or ambiguous criteria. Clear and concise definitions should be based on essential characteristics and avoid personal opinions or subjective judgments.

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i’ll give brainliest

ill give brainliest

Answers

It’s A because x=2.5-8 which is equal to -5.5

harry is making packs containing chocolate frogs and fizzing whizzbees. He has a pile of 63 chocolate frogs and a pile of 54 fizzing whizzbees. The packs all must be identical.

what is the greatest number of packs that can be made?

in this case, what are the contents of each pack?

Answers

A) To find the greatest number of packs that can be made, we need to find the greatest common divisor (GCD) of 63 and 54. One way to do this is to use the Euclidean algorithm:

63 = 1 * 54 + 9

54 = 6 * 9 + 0

Since the remainder is 0, the GCD of 63 and 54 is 9. Therefore, the greatest number of identical packs that can be made is 9.

B) To determine the contents of each pack, we need to divide the number of chocolate frogs and fizzing whizzbees by the number of packs:

Chocolate frogs per pack = 63 / 9 = 7

Fizzing whizzbees per pack = 54 / 9 = 6

Therefore, each pack contains 7 chocolate frogs and 6 fizzing whizzbees.

\(5\frac{2}{3}+ 4\frac{1}{3}\)

Answers

Answer:

The answer is 10.

Step-by-step explanation:

1) Add the whole numbers first.

\(9 + \frac{2}{3} + \frac{1}{3} \)

2) Join the denominators.

\(9 + \frac{2 + 1}{3} \)

3) Simplify.

\(9 + 1\)

4) Simplify.

\(10\)

hence, the answer is 10.

Answer:

10

Step-by-step explanation:

\(5\frac{2}{3} +4\frac{1}{3}\)

Add the whole numbers and fractional parts of the mixed numbers separately

\((5+4)+(\frac{2}{3} +\frac{1}{3} )\)

Add the numbers

\(9+(\frac{2}{3}+\frac{1}{3} )\)

9 + 1 = 10

What is the value of the bisecting angle, x, marked on this square?

What is the value of the bisecting angle, x, marked on this square?

Answers

The four corners of a square are 90 degrees.

They are evenly split by the diagonal lines, so each corner is now two 45 degree angles.

The lines form triangles, which have 3 angles that need to equal 180 degrees.

Two of the angles are 45, so 45 + 45 = 90 degrees.

X = 180 -90 = 90 degrees.

Answer:

90 degrees

By 90 * 4 is 360

Step-by-step explanation:

imagine you have a dataset at the individual level that reports how much tv an individual watches per week. you want to combine this with a dataset (also at the individual level) that reports how much each individual sleeps per week. what command in stata would be the most useful

Answers

The command in Stata would be the most useful is reg when  you want to combine this with a dataset that reports how much each individual sleeps per week.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.

For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.

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A survey asked subjects whether they are a member of an environmental group and whether they would be very willing to pay higher prices to protect the environment. The results are shown in the table below. For a randomly selected​ adult, find the probabilities specified in parts​ (a) through​ (d).

Pay Higher Prices (GRNPRICE)

Yes No Total

Environmental Yes 31 63 94

Group Member No 88 931 1019

(GRNGROUP) Total 119 994 1113

a. Estimate the probability of being a member of an environmental group.

​P(GRNGROUP)=

Estimate the probability of being willing to pay higher prices to protect the environment.

​P(GRNPRICE)=

b. Estimate the probability of being both a member of an environmental group and very willing to pay higher prices to protect the environment.

​P(GRNGROUP and GRNPRICE)=

c. Given the probabilities in​ (a), calculate the probability in​ (b) if the variables were independent.

​P(GRNGROUP and GRNPRICE)=

d. Estimate the probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment. Do this directly using the counts in the table.

P(GRNGROUP or GRNPRICE)=

Estimate the probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment. Do this by applying the appropriate probability rule to the estimated probabilities found in​ (a) and​ (b).

​P(GRNGROUP or GRNPRICE)=

Answers

The probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment is approximately 0.201 or 20.1%.

a. Estimation of the probability of being a member of an environmental group:The probability of being a member of an environmental group can be estimated by calculating the fraction of the total number of people surveyed that are members of an environmental group.P(GRNGROUP) = Total number of people in environmental group/ Total number of people surveyed= 119/1113=0.1069The probability of being a member of an environmental group is approximately 0.107 or 10.7%.b. Estimation of the probability of being willing to pay higher prices to protect the environment:The probability of being willing to pay higher prices to protect the environment can be estimated by calculating the fraction of the total number of people surveyed that are very willing to pay higher prices to protect the environment.P(GRNPRICE) = Total number of people who are very willing to pay higher prices/ Total number of people surveyed= 31+88/1113= 0.106The probability of being very willing to pay higher prices to protect the environment is approximately 0.106 or 10.6%.c. Calculation of the probability of being both a member of an environmental group and very willing to pay higher prices to protect the environment, given the variables are independent:In this case, if the variables are independent, then the joint probability can be calculated by multiplying the two probabilities together.P(GRNGROUP and GRNPRICE) = P(GRNGROUP) x P(GRNPRICE)=0.1069 x 0.106=0.011The probability of being both a member of an environmental group and very willing to pay higher prices to protect the environment is approximately 0.011 or 1.1%.d. Estimation of the probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment directly using the counts in the table:The probability of a person being a member of an environmental group or very willing to pay higher prices to protect the environment can be estimated by calculating the fraction of the total number of people surveyed that fall into either of these two categories.P(GRNGROUP or GRNPRICE) = (Total number of people in environmental group + Total number of people who are very willing to pay higher prices - Number of people in both categories) / Total number of people surveyed= (119 + 31 + 88)/1113= 0.134The probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment is approximately 0.134 or 13.4%.e. Estimation of the probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment by applying the appropriate probability rule to the estimated probabilities found in (a) and (b):P(GRNGROUP or GRNPRICE) = P(GRNGROUP) + P(GRNPRICE) - P(GRNGROUP and GRNPRICE)= 0.1069 + 0.106 - 0.011= 0.201The probability that a person is a member of an environmental group or very willing to pay higher prices to protect the environment is approximately 0.201 or 20.1%.

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