Tversky and Kahneman23 asked a group of subjects to carry out the following task. They are told that: Linda is 31, single, outspoken, and very bright. She majored in philosophy in college. As a student, she was deeply concerned with racial discrimination and other social issues, and participated in anti-nuclear demonstrations. The subjects are then asked to rank the likelihood of various alternatives, such as:
(1) Linda is active in the feminist movement.
(2) Linda is a bank teller.
(3) Linda is a bank teller and active in the feminist movement. Tversky and Kahneman found that between 85 and 90 percent of the subjects rated alternative (1) most likely, but alternative (3) more likely than alternative (2). Is it? They call this phenomenon the conjunction fallacy, and note that it appears to be unaffected by prior training in probability or statistics.
Explain why this is a fallacy. Can you give a possible explanation for the subjects’ choices?

Step-by-step explanation:

Given

Slope (m) = 2/3

y - intercept ( c ) = 5

Now

Writing in slope intercept form

y = mx + c

y = 2/3 x + 5

Hope it will help :)❤

According to the information, the maximum infection rate is:  k * 2500 * (5000 - 2500) = 6250k = 40

To address this problem, we can use the law of the infection rate, which states that the infection rate is directly proportional to the product of the number of people infected and the number of people not infected. Therefore, we can write:

where "k" is a constant of proportionality. Since we want to find the number of people infected that produces the maximum infection rate, we can consider the infection rate as a function of the variable "x" representing the number of people infected. Therefore, we can write:

To find the value of "x" that maximizes the infection rate, we can derive this function and set the derivative equal to zero:

This implies that 5000 - 2x = 0, and therefore:

Therefore, the number of infected people that produces the maximum daily rate of infection is 2,500.

However, we must verify that this result is consistent with the information given in the problem. We know that when there are 1,000 people infected, the flu spreads at the rate of 40 new cases per day. Therefore, if we add 1,500 more infected people (for a total of 2,500), the infection rate would be:

If the infection rate is 40 new cases per day, we have:

which implies that:

Therefore, the maximum infection rate is:

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Answer:

Step-by-step explanation:

To factorise

3x² - 6x

3x² - 6x

[Taking common term out]

= (3x × x) - (3x × 2)

= 3x ( x - 2)

Hence, factorised answer of 3x² - 6x is 3x (x-2) (Ans)

D 231 = 46w can be used to solve for w, the number of white eggs used last week.

Answer:

The sample size is n=22 and the test statistic is t=2.446. P-value = (Round to three decimal places as needed.) Use technology to find the P-value for the hypothesis

Step-by-step explanation:

id.k im sorry :(

Answer:

Parent function:

f(x) = √x

Add a number to the value of the function, such as k:

f(x) = (√x) + k

If k is positive, the function moves up. If k is negative, the function moves down.

Answer:

B

Step-by-step explanation:

Answer:

B) 2957.30 people per square mile

I don't need brainly btw

The nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

The percentage decrease theory suggests that a decrease in the price of a product or service will lead to an increase in demand for that product or service.

This theory is based on the idea that consumers are more likely to buy a product or service if its price is lower. This theory can be applied to both new and existing products or services.

For example, a retailer may decide to decrease the price of a product in order to attract more customers and increase sales. Similarly, a company may choose to reduce the cost of a service in order to make it more attractive to potential customers.

This question is using the percentage decrease theory. According to this theory,

you can calculate the percentage decrease by subtracting the current value from the original value and then dividing by the original value.

Step 1: Subtract the current number of wild tigers (3200) from the original number of wild tigers (20 years ago).

Original - Current = Change

120,000 - 3200 = 116,800

Step 2: Divide the change (116,800) by the original number of wild tigers (120,000)

Change / Original = Percentage Change

116,800 / 120,000 = 97%

Step 3: Multiply the percentage change (97%) by the original number of wild tigers (120,000)

Percentage Change x Original = Estimated Original

97% x 120,000 = 116,400

Therefore, to the nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

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Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

Answer:

y = 10.5x - 8.25

Step-by-step explanation:

m = (44.25 - 12.75)/(5 - 2) = 10.5

y = mx + b

y = 10.5x + b

12.75 = 10.5 × 2 + b

b = -8.25

y = 10.5x - 8.25

Answer:

hope it helps

Step-by-step explanation:

please mark me as brainliest thank you

Answer:

26/3

Step-by-step explanation:

\(5\frac{1}{2} +3\frac{1}{6} \\\\\mathrm{Add\:whole\:numbers}\:5+3:\quad 8\\\\\mathrm{Combine\:fractions}\:\frac{1}{2}+\frac{1}{6}:\quad \frac{2}{3}\\\\=8\frac{2}{3}\\\\=\frac{26}{3}\)

1. The quadratic function for the Area in terms of x: A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is 0.

3. The maximum cross-sectional area is square inches 0.

To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.

1. Write a quadratic function for the area in terms of x:

The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is:

To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.

3. The maximum cross-sectional area is square inches:

Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.

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Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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Answer: Cosec(A) = 3.64

Step-by-step explanation:

Ok, tenemos un triangulo rectángulo.

Sabemos que B = 90° y que  

tg(C) = 3.5

entonces:

Atg(Tg(C)) = C = Atg(3.5) = 74.05°.

Nosotros también sabemos que la suma de todos los ángulos interiores de un triangulo es igual que 180°

entonces:

A + B + C = 180°

A + 90° + 74.05° = 180°

A = 180° - 90° - 74.05° = 15.95°

Entonces Cosec(A) = Cosec(15.95°) = 1/sin(15.95°) = 3.64

Answer:

y-intercept: -5

Slope: 4

Equation: y = 4x - 5

Step-by-step explanation:

✔️ y-intercept (b):

When x = 0, y = -5. Therefore, the y-intercept (b) = -5. It is the point at which the y-axis cut across by the line. At this point, x is always zero.

✔️Slope using two points (0, -5) and (1, -1):

\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - (-5)}{1 - 0} = \frac{4}{1} = 4 \)

Slope (m) = 4

✔️Equation in slope-intercept form y = mx + b:

Substitute m = 4, and b = -5 into y = mx + b

y = 4(x) + (-5)

y = 4x - 5

Answer:

y = 1/5x - 6.4

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope will be 1/5

Then, plug the slope and the point into the equation y = mx + b to find b

y = mx + b

-7 = 1/5(-3) + b

-7 = -0.6 + b

-6.4 = b

Then, plug this and the slope into the equation

y = 1/5x - 6.4 will be the equation

When the double cone is sliced at the apex by a plane parallel to the base of the cone, the resulting degenerate conic is a point.

A degenerate conic is a conic that does not have the usual geometric properties of its non-degenerate counterpart. 

It is formed by slicing a cone with a plane in a way that produces a special type of conic section.

This is because the plane cuts through both halves of the cone, resulting in the two halves becoming one point at the apex of the cone. The other degenerate conics that can be formed by slicing a double cone with a plane are:

If the plane intersects both halves of the cone, but does not pass through the apex, the resulting degenerate conic is a pair of intersecting lines.

If the plane intersects only one half of the cone, the resulting degenerate conic is a single line.

If the plane intersects both halves of the cone, passing through the apex, the resulting degenerate conic is a single line.

If the plane is parallel to one of the generating lines of the cone, the resulting degenerate conic is a parabola.

If the plane intersects both halves of the cone, but at an angle that is not parallel to the base or perpendicular to a generating line, the resulting degenerate conic is a hyperbola.

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36 π ft² or approximately 113.10 ft²

1) Since the formula for the area of a circle is

A = πr²

2) Then let's plug that into the formula:

A = πr²

A = π6²

A =36 π ft²

3) So the answer is 36 π ft² or approximately 113.10 ft²

Answer:

sorry I tried But Don't Know The Answer

Given:

A pound of chocolate costs 7 dollars.

To find:

The equation represents the total cost c for buying p pounds of chocolate.

Solution:

It is given that a pound of chocolate costs 7 dollars. So,

Since the cost of p pounds of chocolate is c. So,

Thus, the answer is c = 7p.

Answer:

D. 314 yds

Step-by-step explanation:

Given:

Diameter = 100 yds

Required;

Circumference of the circle

Solution:

Circumference of circle = πd

Plug in the value

Circumference = π × 100

= 314 yds (nearest whole number)

Answer:

Step-by-step explanation:

There is only one real number x that satisfies x^3 = 2. This is because the cube of any negative number is negative, and the cube of any positive number is positive. Since 2 is positive, there are no negative real numbers that could satisfy the equation. Therefore, the only possible solution is a positive real number. By using a calculator or other methods, we can find that x is approximately 1.259921.

It is worth noting that there are two complex solutions to this equation, but the question specifically asks for real solutions.

The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

3715219

Step-by-step explanation:

1917291 + 1816191 = 3733482

3733482 - 18263 = 3715219

a. The interval of time between eruptions if the previous eruption lasted 4 minutes is 86.51 minutes.

b. The residual for this cycle is 2.07 minutes.

c. The interval of time between eruptions lasted for 2.07 minutes than the regression line equation predicted.

d. The slope of the regression line means that the interval of time between eruptions increases by 13.29 minutes for every additional minute of the previous eruption.

e. No, the value of the y-intercept doesn't have meaning in the context of the problem.

Based on the information provided above, the relationship between the duration of the previous eruption (x in minutes) and the interval of time between eruptions (y in minutes) is modeled by this regression line equation:

ÿ = 33.35 + 13.29x

Part a.

When x = 4 minutes, the value of is given by:

ÿ = 33.35 + 13.29(4)

ÿ = 86.51 minutes.

Part b.

The residual for the given cycle can be calculated as follows;

Residual = y - ÿ

Residual = 62 - (33.35 + 13.29(2))

Residual = 62 - 59.93

Residual = 2.07 minutes.

Part c.

Based on the calculation above, we can logically deduce that the interval of time between eruptions lasted for 2.07 minutes than the equation of regression line predicted.

Part d.

The slope of the regression line is equal to 13.29 and it implies that the interval of time between eruptions increases by 13.29 minutes for every additional minute of the previous eruption.

Part e.

In the context of the problem, we can logically deduce that the value of the y-intercept doesn't have any meaning because the duration of the previous eruption cannot be equal to 0 minutes.

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Answer:

375

Step-by-step explanation:

Based on the given conditions, formulate: 53 +2x = 803

Rearrange variables to the left side of the equation:

2x = 803 - 53

Calculate the sum or difference:

2x = 750

Divide both sides of the equation by the coefficient of variable:

x = 750/2

Cross out the common factor: x = 375

Answer: 26 years old

Step-by-step explanation:

Since Scott is four more than double the age of Todd, start by taking away four from Scott's age.

56-4=52

Then take half of that because that would be double of Todd's age

52/2=26

Todd is 26 years old.