one recipe for pancakes says to use 1 1/2 cups of mix to make 7 pancakes. How much mix is needed to make 35 pancakes

According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

At one classroom for economics and another for other topics, they dumped 122 stamped envelopes with addresses and $20 bills inside each.

Let the money returned = R

economics classes = E

other classes = O

a). The following gives the probability statement for the overall percentage of the money returned: 100.P (R)

b). The probability statement that the percentage of money recovered from economics classes is 100.P(R|E)

c). The probability statement that displays the percentage of money returned from the other classes is 100.P(R|O).

d). No, because P(R) is not equal to P(R|E), the money returned is not independent of the classes.

e).  According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.

The complete question is:

Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 122 stamped, addressed envelopes with $20 cash in two different classrooms (one economics, one not) on the George Washington campus. Of these, 42% were returned overall. From the economics class 51% of the envelopes were returned. From the other class 36% were returned.

From

the business, psychology, and history classes 31% were returned.

Let: R = money returned; E = economics classes; O = other classes

a. Write a probability statement for the overall percent of money returned.

b. Write a probability statement for the percent of money returned out of the economics classes.

c. Write a probability statement for the percent of money returned out of the other classes.

d. Is money being returned independent of the class? Justify your answer numerically and explain it.

e. Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.

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Answer:

\(-3b^4/ a^6\)

Step-by-step explanation:

Answer

I don’t know the answer but the explanation helps

Step-by-step explanation:

A polynomial is said to be in its standard form, if it is expressed in such a way that the term with the highest degree is placed first, followed by the term which has the next highest degree, and so on. For example: \(14 x4 - 5x3 - 11x2 - 11x + 8.

Answer:Yeah this answer is tricky

Step-by-step explanation: but

(14 x4 - 5x3 - 11x2 - 11x + 8. thats the equation.

Answer:

A

Step-by-step explanation:

We would like to find the value of x.

Since the triangle is isosceles, the drawn altitude bisects the base of length 8. This means that the big triangle is split into two congruent triangles with base 4 and height 5.

Notice that by definition, as well, the altitude of 5 is perpendicular to the base of length 8. So, we have two right triangles, each with legs of 4 and 5 and hypotenuse x.

We apply the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, we have:

4² + 5² = x²

16 + 25 = x²

41 = x²

x = √41

The answer is thus A.

~ an aesthetics lover

Answer:

The correct answer is d. Integration.

The process of finding general antiderivatives is called integration. Integration is the reverse process of differentiation, and it involves finding an antiderivative or a primitive function for a given function.

When we differentiate a function, we find its derivative, which represents the rate of change of the function. Integration, on the other hand, allows us to "undo" the process of differentiation and find the original function that would give rise to a given derivative.

The general antiderivative of a function f(x) is denoted as ∫f(x) dx, and it represents a family of functions that differ by a constant. The constant of integration is introduced because the derivative of a constant is zero, and different functions in the family may differ by a constant term.

Integration is a fundamental concept in calculus and has wide applications in various fields such as physics, engineering, economics, and more. It enables us to solve problems involving areas, volumes, motion, accumulation, and many other real-world phenomena.

Therefore, the correct answer is d. Integration.

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As discussed above, the process of finding general antiderivatives is called integration.

Therefore, option D is correct.

The process of finding general antiderivatives is called integration.

An antiderivative is defined as a function that has a derivative equal to the function that it is associated with. The method of finding antiderivatives is called integration. It is the reverse process of finding derivatives.

An antiderivative is also referred to as an indefinite integral.In general, it is possible to express any function as an antiderivative of another function plus a constant.

When a function has more than one antiderivative, it is said to have multiple antiderivatives. In order to express such a function, a constant of integration is added to each antiderivative.

Let's check the provided options:

a. L'Hopital Rule:

L'Hopital's rule is a mathematical method used to evaluate limits of indeterminate forms. This rule has nothing to do with the process of finding general antiderivatives.

Therefore, option A is incorrect.

b. Euler's Theorem:

Euler's theorem is a formula that relates complex exponentials and trigonometric functions. This theorem has nothing to do with the process of finding general antiderivatives.

Therefore, option B is incorrect.

c. Differentiation:

Differentiation is the process of finding the derivative of a function. This is the reverse process of integration.

Therefore, option C is incorrect.

d. Integration:

As discussed above, the process of finding general antiderivatives is called integration.

Therefore, option D is correct.

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The proportional equation that represents the relationship in the table is given as follows:

d = km

In which k is the number of miles he drives per minute(the ratio of the values in the table).

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the constant of proportionality is the number of miles he travels in a minute, which is the ratio of the distances in the table. Hence the equation is given by:

d = km.

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The fraction that we have would give us the result  6/5.

If we talk about a fraction then what we mean is a part of a whole. As such we can be able to find the LCM of the fractions that we have. The meaning of the term LCM is lowest common multiple. In this case, we would need to obtain the lowest common multiple of the fractions that we have so that we can be able to give the common denominator that we are looking for.

As such we have that;

the LCM of 5 and 10 is 10 and thus we would have the LCM as 10.

Therefore;

2/5 + 8/10

= 4 + 8/10

= 12/10

= 6/5

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Answer:

1.

x=# of purple marbles

y=# of yellow marbles

y=3x

y+x=164

3x+x=164

4x=164

x=41

There are 41 purple marbles and 41*3=123 yellow marbles.

2.

L=large fries

H=hamburger

H=1.15+L

2H+L= 8.60

2.3+2L+L=8.60

2.3+3L=8.60

3L=6.3

L=2.1

A large fries costs $2,1 while a Hamburger costs 1.15+2.1=$3.25.

Answer: B.

Step-by-step explanation:

Answer:

(-5,-15)

Step-by-step explanation:

Answer:

(-5,-15)

Step-by-step explanation:

3x=2x-5

-2x  -2x

x=-5

y=3(-5)

y=-15

The solution that satisfies the linear inequality in two variables 2x - 3y < 6 is: B. (2, -7)

To check if a solution satisfies the inequality, we can substitute the values of x and y into the inequality and see if the resulting statement is true. If it is true, then the solution satisfies the inequality.

A. (6,1)

In this case, if we substitute x = 6 and y = 1 into the inequality, we get:

2(6) - 3(1) < 6

12 - 3 < 6

9 < 6

This is not a true statement, so solution A does not satisfy the inequality.

If we check the other solutions, we find that only solution B satisfies the inequality:

2x - 3y < 6

2(2) - 3(-7) < 6

4 + 21 < 6

25 < 6

This is not a true statement, so solution B does not satisfy the inequality.

2x - 3y < 6

2(1) - 3(5) < 6

2 - 15 < 6

-13 < 6

This is a true statement, so solution C satisfies the inequality.

2x - 3y < 6

2(5) - 3(1) < 6

10 - 3 < 6

7 < 6

This is not a true statement, so solution D does not satisfy the inequality.

Therefore, the only solution that satisfies the linear inequality 2x - 3y < 6 is: B. (2, -7)

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The graph of the given points form the rectangle is attached below.

Graph:

The graph is defined as the pictorial representation or a diagram that represents data or values in an organized manner.

Given,

The points are (2, 1),(2, 5), (7, 1), and (7, 5).

Here we need to plot the graph and we have to identify whether it will form the rectangle.

First, we have to do the following in order to solve it,

Therefore, the resulting graph is attached below.

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Answer:

where is the graph

Step-by-step explanation:

Answer:

e This die appears to be fair because the proportion of sixes fluctuates greatly.

Step-by-step explanation:

For a fair die, we would expect the proportion of sixes to be approximately 1/6 = 0.167. Because the observed proportion is not the same as 0.167, we have reason to suspect that the die is not fair.

Solution

From the diagram shown, it means that the lines are inclined to each other, hence forming an angle

Answer = Inclined

The lateral surface area of the cone is:

A = 84.3 in²

We know that for a cone of height H and a radius R, the lateral surface area is given by the formula:

A = pi*R*( √(H² + R²))

Where pi = 3.14

Here the height is 12 inches, and the diameter is 4.4 inches, then the radius is:

R = 4.4i/2 = 2.2 in

Then the lateral surface area is:

A = 3.14*2.2in*( √((12in)² + (2.2in)²))

A = 84.3 in²

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Answer:

$8.60

Step-by-step explanation:

Let x = the tip

80 - x = 9(5.85 + 1.25) + 5(1.50)

80 -x = 63.90 + 7.5

80 - x = 71.40  Subtract 80 from both sides

-x = -8.60  Divide both sides by -1

x = 8.60

Answer:

Step-by-step explanation:

x + y = 25

2x - y = 6           Solve for y in this the second equation. Add y to both sides

2x  = 6 + y         The ys on the left cancel. Subtract 6 from both sides.

2x - 6 = y

Put this value of y into the first equation

x + y = 25

x + 2x - 6 = 25      Combine on the left

3x - 6 = 25           Add 6 to both sides.

3x = 25 + 6           Combine the right

3x = 31                   Divide by 3

x = 31 / 3            

x = 10.333333

x + y = 25

10.33333 + y = 25  Subtract 10.33333

y = 25 - 10.333333

y = 14.666666

x + y = 25

10.33333 + 14.66666

25 approximately.

2x - y = 6

2*10.33333 - 14.66666

20.66666 - 14.66666

6

You should note that those numbers are repeating decimals

2x - 6 = y

Answer:

The length is 5 meters and the width is 3 meters.

Step-by-step explanation:

The dimensions of the rectangle are 5 meters by 3 meters.

Let's say the length of the rectangle is l and the width is w. We are given that w = l - 2 and lw = 15.

We can substitute the first equation into the second equation to get:

l(l - 2) = 15

This simplifies to:

\(l^2\) - 2l - 15 = 0

We can factor this equation to get:

(l + 3)(l - 5) = 0

This means that either l = -3 or l = 5.

Since the length of a rectangle cannot be negative, we know that l = 5.

Substituting this value back into the equation w = l - 2, we get:

w = 5 - 2 = 3

Therefore, the dimensions of the rectangle are 5 meters by 3 meters.

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A system of inequalities that models the number of 2R prints and 3R prints Grace had for her scrapbook include the following;

x + y ≥ 5

3x + 5y ≤ 2000

In order to write a system of inequalities to describe this situation, we would assign variables to the number of 2R prints and the number of 3R prints respectively, and then translate the word problem into a linear equation as follows:

Since Grace printed not less than 60 photos on 2R and 3R and each 2R print costs P3 and a 3R print costs P5 and she spent a maximum of P200 for her printing needs, a system of inequalities that models the situation is given by;

x + y ≥ 5

3x + 5y ≤ 2000

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Missing information:

Write a system of inequalities to model this situation

Answer:

4/15

Step-by-step explanation:

Add up the unshaded part

1/3 +2/5

Get a common denominator

1/3 *5/5 + 2/5 *3/3

5/15 + 6/15

11/15

Subtract this from 1 for the entire circle

15/15 -11/15

4/15

4/15 is shaded

Answer:

answer is

\( \frac{4}{15} \)

Step-by-step explanation:

explanation is in the picture!

Answer:

y = 95°

Step-by-step explanation:

Linear pair of angles add up to 180°

120° + x = 180° [Linear pair of angles]

=> x = 180° - 120°

=> x = 60°

Sum of all angles of a triangle is 180°.

So, 25° + 60° + y = 180°

=> 85° + y = 180°

=> y = 180° - 85°

=> y = 95°

Answer:

x + 120 = 180

x = 180 - 120

× = 60

by angel sum property

25 + x + y = 180

25 + 60 + y = 180

85 + y = 180

y = 180 - 85

y = 95°

Answer: search it up

Step-by-step explanation:

Answer:

if we are simplifying, the answer is 6x⁴y²

Answer:

6x⁴y²

Step-by-step explanation:

2x³ × 3xy²

multiply 2x³ by 3xy²

= 6x⁴y²

Answer:

16,384

Step-by-step explanation:

The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.

The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:

Let's denote:

C = Annual cash need ($5,000)

T = Transportation cost per visit ($5)

r = Annual interest rate (5%)

To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.

Calculate the optimal order quantity (Q) using the EOQ formula:

Q = √((2 * C * T) / r)

Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.

The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.

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Answer:

Based on the given double box-and-whisker plot, we can see that the median growth of Type A corn seedlings is higher than the median growth of Type B corn seedlings. The median for Type A is approximately 5.4 inches, while the median for Type B is approximately 4.8 inches.

We can also compare the interquartile ranges (IQR) of each type of corn seedling. The IQR for Type A ranges from approximately 4.9 inches to 6.0 inches, while the IQR for Type B ranges from approximately 4.3 inches to 5.2 inches. This means that the middle 50% of growth measurements for Type A fall within a narrower range than for Type B, which indicates greater consistency in growth.

Therefore, based on the information provided by the double box-and-whisker plot, Type A corn seedlings appear to grow taller on average and with greater consistency compared to Type B corn seedlings. However, it's important to note that this conclusion is based solely on the limited sample data presented in the plot, and other factors could influence the actual growth rates of these corn seedlings in real life.

A) True. The source term in a partial differential equation (PDE) represents a forcing function or external input to the system being modeled.

A) True. The source term in a partial differential equation (PDE) represents a forcing function or external input to the system being modeled. In the finite element method (FEM), the PDE is discretized into a set of algebraic equations, and the source term appears in each of these equations.

Specifically, for each algebraic equation resulting from the discretization of the PDE, the source term contributes to the coefficient of the dependent variable on the left-hand side of the equation, and it is taken to the right-hand side of the equation. The resulting coefficient and right-hand side term are then used to construct the corresponding row of the global coefficient matrix and the right-hand side vector, respectively.

Therefore, the source term affects all algebraic equations in the finite element method and is an essential component of the mathematical model. Changing the source term will affect the solution obtained from the ANSYS solver and can result in a different physical behavior of the system being modeled.

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The volume of the cylinder is approximately 1413.7 cubic centimeters.

The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height or length of the cylinder.

Since the base of the cylinder has a diameter of 9cm, the radius is half of that, or r = 4.5cm.

The length of the cylinder is given as 20cm.

Therefore, the volume of the cylinder is:

V = πr²h

= π(4.5)²(20)

= 1413.72 cubic centimeters (rounded to 1 decimal place)

Thus, the volume of the cylinder is approximately 1413.7 cubic centimeters.

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Complete question:

Calculate the volume of this cylinder. give your answer to 1 decimal place. Base is 9cm. Length is 20cm.

The volume of cuboid with dimensions 9cm × 4cm × 5cm is 180 cm³

We know that the formula for the volume of the cuboid is:

V = l × w × h

where, V is the volume of the cuboid

l is the length of the cuboid

w is the  width of the cuboid

and h is the height of the cuboid

Here, the length of the cuboid is l = 9 cm,

the width of the cuboid is w = 4 cm

and the height of the cuboid is h = 5 cm

Using above formula,

V = l × w × h

V = 9 × 4 × 5

V = 180 cubic cm

Therefore, the required volume is 180 cubic centimeters

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Answer:

$54

Step-by-step explanation:

First, we calculate the amount she paid for each pen.

$255/5 = $51

She paid $51 for each pen.

She made a profit of $3 per pen, so she sold each pen for $51 + $3 = $54

Answer: $54