In a classic prisoner's dilemma game with money for prizes, players who cooperate with each other both earn good prizes. If, however, your opposing player cooperates but you do not (the term used is defect), you receive an even bigger payout and your opponent receives nothing. If you cooperate but your opposing player defects, he or she receives that bigger payout and you receive nothing. If you both defect, you each get a small prize. Because of this, most players of such games choose to defect, knowing that if they cooperate but their partners don't, they won't win anything. The strategies of U.S. and Chinese students were compared. The researchers hypothesized that those from the market economy (United States) would cooperate less (i.e., would defect more often) than would those from the nonmarket economy (China). Defect Cooperate China 31 36 United States 41 14 What is/are the variable(s) in this study and, if appropriate, what are the levels of any variables you identified?

As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.

Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:

s + (r + 75) = (s + r) + 75

The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.

Let's take an example to illustrate this:

Suppose s = 10 and r = 20.

Using the original expression:

s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105

Using the expression with regrouped terms:

(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105

As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

For more questions on expressions

https://brainly.com/question/30715930

#SPJ8

Answer:

1.8574 hours

Step-by-step explanation:

Solve for t.

Take the natural log of both sides.

\( 3000 = 75000e^{-1.733t} \)

\( 1 = 25e^{-1.733t} \)

\( \dfrac{1}{25} = e^{-1.733t} \)

\( \ln \dfrac{1}{25} = \ln (e^{-1.733t}) \)

\( -3.218875 = -1.733t \)

\( t = 1.8574\)

Answer:

Step-by-step explanation:

The relation between time, speed, and distance can be used to write equations for the speeds in each direction.

Let p and w represent the speeds of the plane and the wind, respectively. The speed with the wind is ...

  speed = distance/time

  p +w = 1071/7 = 153

The speed against the wind is ...

  p -w = 1071/9 = 119

The plane's speed can be found by adding these two equations:

  (p +w) +(p -w) + (153) +(119)

  2p = 272

  p = 136 . . . . . divide by 2

The wind speed can be found from either equation:

  w = p -119 = 136 -119 = 17

The speed of the plane in still air is 136 miles per hour; the speed of the wind is 17 miles per hour.

The solution is Option A.

The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the coordinate of the triangle be represented as A

Now , the coordinate A = A ( -4 , 1 )

Now , the coordinate of the triangle after translation is A' ( 0 , -3 )

when there is a translation of the coordinate A by 4 units to the right , we get

A to 4 units right = A ( -4 + 4 , 1 )

The new coordinate of A = A ( 0 ,  1 )

Now , A to 4 units down , we get

The coordinate of A' = A' ( 0 , 1 - 4 )

The coordinate of A' = A' ( 0 , -3 )

Hence , the translated coordinate is A' ( 0 , -3 )

To learn more about translation click :

https://brainly.com/question/19007400

#SPJ1

Using proportions, it is found that you would expected the white counter to be chosen 128 times.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

From the table, the proportion of the white counter is given as follows:

p = 32/(32 + 18) = 32/50 = 0.64.

Hence, out of 200 trials, the number of trials in which the white counter is expected to be chosen is given by:

0.64 x 200 = 128 times.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer: x = 11

Step-by-step explanation:

       We can solve for x by isolating the variable with inverse operations.

    Given:

2(x - 5) + 7 = x + 8

    Distirbute:

2x - 10 + 7 = x + 8

    Combine like terms:

2x - 3 = x + 8

    Add 3 and subtract x from both sides of the equation:

x = 11

The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively

Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class

The given parameters that will help us to get the percentage are

Mean height of the class = 152 cm

Mean height of the boys = 158 cm

The standard deviation of the boys = 5 cm

Mean height of the girls = 148 cm

Standard deviation of the girls = 4 cm

(1) The percentage of boys in the class is

Total mean height = 158 +148 = 306

Percentage = 158/306 * 100 = 51.6%

Then the  percentages 51.6/100 * 152 = 78%

(2) The total standard deviation of all the students

Boys + girls = 5+4 = 9 cm

Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively

Lean more about percentages on https://brainly.com/question/29306119

#SPJ1

Answer:

f(-3)=-2,5

f(-1)=-1,5

f(3)=¾

Answer:

-5/2

3/2

3/4

Step-by-step explanation:

Answer: We can set up the following pair of simultaneous equations:

a + c = 6.70 (equation 1) (the total amount of money they have is ₹6.70)

a = c + 1.70 (equation 2) (Alan has ₹1.70 more than Conner)

We can substitute equation 2 into equation 1 to eliminate a:

(c + 1.70) + c = 6.70

Simplifying and solving for c:

2c + 1.70 = 6.70

2c = 5.00

c = 2.50

So Connor has ₹2.50.

We can substitute this value into equation 2 to find the value of a:

a = c + 1.70

a = 2.50 + 1.70

a = 4.20

Therefore, Alan has ₹4.20.

You need 6 cups red and 10 cups yellow.

Answer: 126

Step-by-step explanation: this is the distributive property so you multiply the number outside the parentheses times the numbers inside the parentheses

Answer:

Maura is the one who runs faster.

Step-by-step explanation:

Maura: 1.25 / 5 = .25 miles a minute

Ava: 0.83 / 3 = .276 or .28

Answer:

Maura runs faster

Step-by-step explanation:

Pls give brainliest im almost lvled up. :) Thx

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

For more questions on Value .

https://brainly.com/question/843074

#SPJ8

Consider the continuous random variable x that has a uniform distribution over the interval from 40 to 44. The variance of 'x' is approximately C: 1.155.

The variance of a continuous uniform distribution over the interval [a, b] is determined by the formula given as follows:

Var(x) = (b-a)^2 / 12

For the given distribution, a = 40 and b = 44, so the variance is calculated by putting these values into the above formula:

Var(x) = (44 - 40)^2 / 12 = 1.155

Therefore, the variance of 'x' is approximately 1.155

You can learn more about variance at

https://brainly.com/question/28426562

#SPJ4

Answer:

Minimum--> 250

Q1--> 255

Q2--> (Median): 307

Q3--> 433

Maximum-->507

Step-by-step explanation:

To find the five-number summary of this data set, we need to determine the minimum value, maximum value, and three quartiles (Q1, Q2, Q3) which divide the data into four equal parts.

First, we need to sort the data set in ascending order:

{ 250, 253, 255, 267, 307, 425, 433, 435, 507 }

Minimum: 250

Maximum: 507

To find the quartiles, we need to find the median of the entire data set (Q2) and then the medians of the two halves of the data set, which will give us Q1 and Q3.

Q2 (Median): The median of the entire data set can be found by averaging the two middle numbers.

Q1: The median of the lower half of the data set is 255, which is the middle value of { 250, 253, 255, 267, 307 }. Therefore, Q1 = 255.

Q3: The median of the upper half of the data set is 433, which is the middle value of { 425, 433, 435, 507 }. Therefore, Q3 = 433.

The amount of milk Deshaun drinks in 9 days is 2.25 L or 2250 milliliters

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of milk Deshaun drinks in 9 days = A

Let the amount of milk Deshaun drinks in a day = 0.25 L

Now , the equation will be

The amount of milk Deshaun drinks in 9 days = 9 x amount of milk Deshaun drinks in a day

Amount of milk Deshaun drinks in 9 days = 9 x 0.25

                                                                     = 2.25 L

Now , 1 Liter = 1000 milliliters

So , Amount of milk Deshaun drinks in 9 days = 2.25 L

                                                                             = 2.25 x 1000 milliliters

                                                                             = 2250 milliliters

Therefore , the value of A = 2250 milliliters

Hence ,

The amount of milk Deshaun drinks in 9 days is 2.25 L or 2250 milliliters

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ1

Answer:

i have an idea what it is but i dont really know sorry

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

15/7 is about 2.14 which is less than 3

Answer:181.5

Step-by-step explanation:

5.5*5.5*6

multiply by six because there are six side

Hii :))

\( \tt \: 5 - 13 - ( - 4) \\ = \tt- 8 - ( - 4) \\ = \tt - 8 + 4 \\ = \boxed{\tt - 4}\)

__________________

\(\overbrace{ \underbrace{ \sf \: \infty \: Carry \: on \: Learning \: \infty }}\)

ᴛʜᴇᴇxᴛʀᴀᴛᴇʀᴇꜱᴛʀɪᴀʟ

\(\boxed{\underline{\bf \: ANSWER}}\)

\( \sf \: 5 - 13 - ( - 4) \\ = \sf 5 - 13 + 4 \\ = \sf - 8 + 4 \\ = \underline{ \bf \: 4}\)

__________________

Hope it helps.

RainbowSalt2222

Answer:

20720

Step-by-step explanation:

-3x^2y +4x

-3(-4)^2*2 + 4(-4)

= 12^4 -16

20736 - 16

= 20720

I hope this helped!

Answer:

When x = -4 and y = 2, -3x^(2y) + 4x is -784.

Step-by-step explanation:

-3x^(2y) + 4x

Substitute given variables.

-3(-4)^(2(2)) + 4(-4)

Multiply 2 and 2.

-3(-4)^4 + 4(-4)

Multiply -3 and -4.

Raise -4 to the 4th power.

-3(256) + 4(-4)
Multiply -3 and 256.

-768 + 4(-4)

Multiply 4 and -4

-768 + (-16)

Add -768 and -16.

-784

The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.

To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.

AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5

BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4

AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)

Now, let's check if AB^2 + BC^2 = AC^2:

AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41

AC^2 = (2sqrt(10))^2 = 4(10) = 40

Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.

For more such questions on Pythagorean theorem:

https://brainly.com/question/28981380

#SPJ8

The circumference of a circle with a radius of 14 feet is 88 feet.

Every point in the surface of a circle, which is a circular, two-dimensional object, is evenly separated from the centre. All lines that cross the circle join together to produce the line of reflected symmetry. Each angle has axis of symmetry around the centre, in addition. Monitoring a linear interpolation in a surface while keeping a fixed distance from some other point will result in the closed shape of a circle. The English term circle derives from the Greek word curriculum provides students, which also means hoop or ring.

When we find the circumference, we obtain:

The  circumference( C) of a circle is 2πr.

C=2πr

⇒C=2×\(\frac{22}{7}\)×14=88 feet.

To know more about Circle visit:

https://brainly.com/question/29142813

#SPJ1

Answer:

Without seeing the table I can't answer the question

Step-by-step explanation:

But if you take the number of Peaches and subtrqact the number of oranges will have your answer.

Answer:

74°F

Step-by-step explanation:

In order to find the average of a certain amount of numbers, you add those numbers together and divide by how many numbers there are. In this case, you would reverse that method to find the last number. We know that there were four readings, and we have three of them and the average. Multiply the average (84.75) by the number of readings (4), and you get the sum of all the readings (339). Then you subtract each of the readings that you already know to isolate the last reading. 339 - 112 (first reading) = 227, 227 - 68 (second reading) = 159, and 159 - 85 (fourth reading) = 74. Therefore, the third reading must be 74.

Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!