in the actual trust game used by experimentalists, the entrepreneur can split the $30 in any way she wishes (not just decide between keeping all of it and keeping half of it). briefly argue whether the research finding below can be explained by (i) a distributional model of social preferences and/or (ii) intentions-based preferences. (to get full credit, your answer must include explicit consideration of both of these models.) entrepreneurs are often more generous in the trust game (if they get the money) than in a dictator game in which they are asked to split $30.

Making r the subject of formula in this equation A = V²/r gives r = V²/A.

In Mathematics and Science, the centripetal acceleration of a physical object (body) can be calculated by using the following mathematical expression:

A = V²/r

Where:

In this exercise, you are required to make radius (r) the subject of formula. Therefore, by making radius (r) the subject of formula, we have the following:

Radius, r = V²/A

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Answer:

Step-by-step explanation:

3:3:2 = 3x +2x +3x = 8x

112 = 8x

x = 14

alex = 3x = 3(14) = 42

sara = alex = 42

henry = 2x = 28

Answer:

\(y = \frac{2}{3}x - \frac{4}{3} \)

Step-by-step explanation:

first find the slope using the above points then use the slope formula to calculate the slope

\(m = \frac{y2 - y1}{x2 - x1} \\ \frac{2 - - 4}{5 - - 4} = \frac{2 + 4}{5 + 4} = \frac{6}{9} = \frac{2}{3} \)

substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b

\(y = mx + b \\ 2 = \frac{2}{3} (5) + b \\ 2 = \frac{10}{3} + b \\ 2 - \frac{10}{3} = b \\ \frac{6}{3} - \frac{10}{3} = b \\ b = - \frac{4}{3} \)

substitute the slope and the value for b into the equation to get the answer

\(y = \frac{2}{3} x - \frac{4}{3} \)

Answer:

A measure of central tendency (measure of center) is a value that attempts to describe a set of data by identifying the central position of the data set (as representative of a "typical" value in the set). We are familiar with measures of central tendency called the mean, median and mode.

Step-by-step explanation:

Some facts/properties are:

1. There are three measures of the “center” of the data. They are the mode, median, and mean. Any of the values can be referred to as the “average.” The mode is the data value that occurs the most frequently in the data

2. And to find the measure of center:

The two most widely used measures of the “center” of the data are the mean (average) and the median. To calculate the mean weight of 50 people, add the 50 weights together and divide by 50 . To find the median weight of the 50 people, order the data and find the number that splits the data into two equal parts.

3. The four measures of center are mean, median, mode, and midrange. ... Example: The median of 1, 3, 5, 5, 5, 7, and 29 is 5 (the number in the middle). Mode – The mode is the number that repeats most often in a data set. It's seldom used in statistics as a reliable measure of center.

I hope this helps     :)

Answer:

6x+3=5x-8

6x-5x= -8-3(match the like terms)

x= -11

The percent of those that have a dog also have a cat is 55%.

Let's denote the event of having a dog as D and the event of having a cat as C.

We are given:

P(D) = 0.65 (probability of having a dog)

P(C) = 0.24 (probability of having a cat)

P(C|D) = 0.55 (probability of having a cat given that one has a dog)

We want to find P(C|D), the probability of having a cat given that one has a dog.

Using Bayes' theorem, we have:

P(C|D) = (P(D|C) * P(C)) / P(D)

We can calculate P(D|C) as follows:

P(D|C) = P(D and C) / P(C)

We know that P(D and C) = P(C) * P(D|C) (probability of having both a cat and a dog)

Substituting the values, we get:

P(D|C) = (P(C) * P(D|C)) / P(C)

Simplifying, we have:

P(D|C) = P(D|C)

Therefore, the percent of those that have a dog also have a cat is 55%.

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Answer:

425

Step-by-step explanation:

72%of425 is 306

Answer:

306/x = 72/100

72x= 306 x 100

72x = 30600

X = 425

Step-by-step explanation:

The answer of  the given question is (a)  The product of two orthogonally diagonalizable matrices may not be orthogonally diagonalizable. , (b) The square of an orthogonally diagonalizable matrix is always orthogonally diagonalizable.

(a) The product of two orthogonally diagonalizable matrices may not be orthogonally diagonalizable. For example, consider the matrices:
a = [1 0; 0 -1]  and  b = [0 1; 1 0]
Both a and b are orthogonally diagonalizable (by themselves), since they are already diagonal matrices. However, their product ab is not diagonalizable, since
ab = [0 1; 0 -1]
which has only one distinct eigenvalue and thus cannot be diagonalized by any orthogonal matrix.
(b) The square of an orthogonally diagonalizable matrix is always orthogonally diagonalizable. To see why, let A be an n × n matrix that is orthogonally diagonalizable, so that A = QDQ^T, where Q is an orthogonal matrix and D is a diagonal matrix. Then we have
A² = (QDQ^T)(QDQ^T) = QD(Q^TQ)DQ^T = QDDQ^T
since Q is orthogonal and thus Q^TQ = I. Therefore, A² is also orthogonally diagonalizable, with the same orthogonal matrix Q and the diagonal matrix D².

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False, the population mean will always not be the same as the mean of all possible that can be computed from samples of size 15.

The mean of all possible samples of size 15 (also known as the sampling distribution mean) will be centered around the population mean, but it may not necessarily be exactly the same as the population mean. The sampling distribution mean can be thought of as an estimate of the population mean, and its accuracy will depend on factors such as the sample size and the variability of the population. However, as the sample size increases, the sampling distribution mean will become a better and more accurate estimate of the population mean.

In statistics, a sample is a subset of a population that is used to estimate or infer information about the population. The mean of a sample is the average of the observations in the sample, and the population mean is the average of all the observations in the entire population.

The mean of all possible samples of a fixed size, taken from a population, is called the sampling distribution mean. The sampling distribution mean is a theoretical concept and is not based on any specific sample. It is the distribution of all possible sample means that could be obtained from the population.

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Answer:

see explanation

Step-by-step explanation:

note that (sinx)² = sin²x

4sin²x - 2 = 0 ( add 2 to both sides )

4sin²x = 2 ( divide both sides by 4 )

sin²x = \(\frac{2}{4}\) = \(\frac{1}{2}\) ( take square root of both sides )

sinx = ± \(\sqrt{\frac{1}{2} }\) = ± \(\frac{1}{\sqrt{2} }\)

sinx = \(\frac{1}{\sqrt{2} }\) ( sinx > 0 , then x is in 1st/2nd quadrants )

x = \(\frac{\pi }{4}\) , π - \(\frac{\pi }{4}\) = \(\frac{3\pi }{4}\)

sinx = - \(\frac{1}{\sqrt{2} }\) ( sinx < 0 , then x is in 3rd/4th quadrants )

x = π + \(\frac{\pi }{4}\) = \(\frac{5\pi }{4}\) , 2π - \(\frac{\pi }{4}\) = \(\frac{7\pi }{4}\)

solutions are

\(\frac{\pi }{4}\) , \(\frac{3\pi }{4}\) , \(\frac{5\pi }{4}\) , \(\frac{7\pi }{4}\) in the interval [ 0, 2π )

Answer:

<GBF

Step-by-step explanation:

Supplementary angles add up to = 180 degrees. Usually, they are side by side in transversals such as this one. The angle supplementary to <GBH is <GBF or <FBG.

Hope this helps!

Answer:

y=7

Step-by-step explanation:

look at 3 on x axis and find y value (the point of the line)

Answer:

y=7

Step-by-step explanation:

there can you give me the crown button please

Answer:

The amount of water the tank can hold is about 4421.12 cubic feet.

Step-by-step explanation:

Given,

To Find: The Volume of the cylindrical Tank

The volume of the cylinder is given by the formula,

\(V=\pi r^{2} h\)

where r is the radius (half the diameter), and h is the height.

So first we need to find the radius by the formula

\(r=\frac{d}{2}\)

\(r=\frac{16}{2}\)

\(r=8\)

Now we can find the volume by,

\(V=( 3.14)(8)^{2} (22)\\V=4421.12ft^{3}\)

The maximum amount of water the tank can hold is about 4421.12 cubic feet.

An exponential regression equation for this set of data is \(y = 18400(0.872)^x\).

The value of the car, to the nearest cent, after 11 years is $4078.49.

Based on the table representing the value of a car over time that was purchased for 18400 dollars, we would calculate the value of a and b in order to write the exponential equation as follows;

\(f(x) = a(b)^x\)

18,400 = a(b)⁰

a = 18,400

Next, we would determine value of b as follows;

16,049 = 18,400(b)¹

16,049 = 18,400b

b = 16,049/18,400

b = 0.8722 ≈ 0.872

Therefore, the required exponential equation is given by;

\(y = 18400(0.872)^x\)

When x = 11 years, the value of the car, to the nearest cent can be calculated as follows;

\(y = 18400(0.872)^{11}\)

y = $4078.49

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If a rock needs to weigh 2,000 lb in order not to be shifted by waves, the volume of this basalt rock is equal to 0.625 in³.

In Science, the density of a chemical substance such as lead can be calculated by using this formula:

Density = M/V

Where:

Making volume the subject of formula, we have the following:

Volume = Mass/Density

Volume = 2,000/3,200

Volume = 0.625 in³.

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Answer:

m<ABC=81°

m<FEC=90°

Step-by-step explanation:

M<ABC=40°30’x2=80°60’=81°

m<FEC=90°

Answer:

x = ±9

Step-by-step explanation:

x² - 55 = 26

   +55   + 55

     x² = 81

     x = √81

     x = ± 9

Answer:

x = 9, -9

Step-by-step explanation:

x^2 - 55 = 26

x^2 = 81.

Now, you might think that x = 9, but don't be fooled. -9 squared is also equal to 81.

So, x = 9, -9

The yield of stock at yesterday's closing price is 3.43%.

Annual dividend is the profit of the stock which is divided among the shareholders, both common and preferred shareholders annually.

Given,

Annual dividend = $1.20

Today's closing price = $34.50

Net change = -$0.50

Let x be yesterday's closing price.

Net change = Today's closing price - yesterday's closing price

⇒ -0.50 = 34.50 - x

⇒ x = 34.50 + 0.50

⇒ x = 35

Yield = \(\frac{Annual dividend}{Price}\) × 100

         = \(\frac{1.2}{35}\) × 100

         = 3.4286 % ≈ 3.43 %

Hence the stock's yield at yesterday's closing price of preferred stock is 3.43 %.

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Answer:

a. $250

b. 50x + 200

Step-by-step explanation:

a. For the first month, you have to account for the cost to start which is $200, and the adition of the $50 for each month.

b. the 200 is only a one time fee so you add it on to months(x)

Answer:

a. 250$

b. 200+50x

Step-by-step explanation:

#1 What is the total cost to use the cell phone plan for one month?

GIVEN:

Startup price=$200

Charge per month=50$

SOLVE:

The total cost for one month will be the startup price+ charging price for one month.

200+50=250$

#2 What is the total cost for x months?

The total cost for x months will be the startup price+charging price for x months.

200+50x

Hope this helps!! :)

Please let me know if you have any questions

Answer:

B.

Step-by-step explanation:

THe base fee is $10, and the you pay $0.04 for every text

SO the equation should be $10 + $0.04n

"The customer yields $780 per year in profits for this retailer."

Customer lifetime value (CLV) is a prediction of the total value a customer will bring to a business over their entire relationship with the company. Retailer profits refer to the financial gain a retailer makes after subtracting all costs, including the cost of goods sold, operating expenses, and taxes, from the revenue generated by their retail sales.

The customer spends $250 a week, so the retailer profits:

If the shopper visits the store every week for a year, the retailer profits:

If this shopper remains loyal for a 10-year lifespan, the retailer profits:

This is the CLV  without considering inflation or any other factors. To consider inflation, we can apply the 8% annual interest rate to calculate the present value of the future profits. The present value of $7,800 over 10 years with an 8% interest rate is approximately $5,100 (the exact value will depend on the method used to calculate the present value).

This question should be provided as:

Assume that a customer shops at a local grocery store spending an average of ​$250 a​ week, resulting in a retailer profit of ​$15 each week from this customer. Assuming the shopper visits the store all 52 weeks of the​ year, calculate the customer lifetime value if this shopper remains loyal over a​ 10-year life span. Also assume a 8 percent annual interest rate and no initial cost to acquire the customer.

The customer yields ​$_____ per year in profits for this retailer.

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Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:

\(GDP = 11(1.0220)^{t}\)

We can also see that the exponential model formula given by: governs this formula.

\(GDP = 11(1.0220)^{t\)

Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.

The value of b in this instance is provided by:

b = 1.022

And when we calculated r as the growth rate, we obtained:

1.022 = 1 + r

r = 1.022 - 1

r = 0.022

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

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From the inequality graph, the solution to the inequalities is: (4, -2/3)

There are different tyes of inequalities such as:

Greater than

Less than

Greater than or equal to

Less than or equal to

Now, the inequalities are given as:

y < (1/3)x - 2

x < 4

Thus, the solution to the given inequalities will be gotten by plotting a graph of both and the point of intersection will be the soilution which in the attached graph we see it as (4, -2/3)

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Answer:it will be 20 inches long at the end of 5 weeks

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

i got it wrong and it showed me the real answer

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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The image of (4, -7) after a reflection over the line y = x is (-7, 4) because the transformarion rule for y = x is (x, y) → (y, x)

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The point is (4, -7)

The line of reflection is y = x

As the line y = x is passing through the origin.

The transformarion rule for y = x is:

(x, y) → (y, x)

(4, -7) → (-7, 4)

Thus, the image of (4, -7) after a reflection over the line y = x is (-7, 4) because the transformarion rule for y = x is (x, y) → (y, x)

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Answer:

Seven dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

If u got two negative number such as (-6)+(-7) your answer will be positive 13.

If u got one negative number and one positive number like (-10)-(5) the answer will be negative like -5