Simplify the expression. 53 + 7(2 +3) - 52

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:

a b e f h

Step-by-step explanation:

Answer:

\(x=-1\)

\(y=5\)

Step-by-step explanation:

\(\begin{pmatrix}x&y\\ \:-1&4\end{pmatrix}\begin{pmatrix}2&5\\ \:4&1\end{pmatrix}=\begin{pmatrix}18&0\\ \:14&-1\end{pmatrix}\)

\(\begin{pmatrix}x&y\\ -1&4\end{pmatrix}\begin{pmatrix}2&5\\ 4&1\end{pmatrix}\)

\(=\begin{pmatrix}x\times \:2+y\times \:4&5x+y\\ 14&-1\end{pmatrix}\)

\(=\begin{pmatrix}18&0\\ 14&-1\end{pmatrix}\)

\(\begin{bmatrix}x\times \:2+y\times \:4=18\\ 5x+y=0\end{bmatrix}\)

\(x=-1\)

\(y=5\)

OAmalOHopeO

Answer:

(x-6)²+(y+3)²=17²

Step-by-step explanation:

The equation of a circle with center (a,b) and radius r is given by the formula:

(x - a)² + (y - b)² = r²

In this case, the center of the circle is (6,-3), and it passes through the point (-9,5). To find the radius of the circle, we need to calculate the distance between the center and the point on the circle. Using the distance formula, we get:

r = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-9 - 6)² + (5 - (-3))²]

= √[225 + 64]

= √289

= 17

So, the radius of the circle is 17. Now we can plug in the values for the center and radius into the equation of a circle:

(x - 6)² + (y + 3)² = 17²

Answer:

148 feet

Step-by-step explanation:

Perimeter = Length + Length + Width + Width

542 feet = Length + Length + 123 feet + 123 feet

2 Lengths = 542 feet - 123 feet - 123 feet = 296

1 Length = \(296\ feet\div2=148\ feet\)

The length of the yard is 148 feet.

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Company: Amazon, 8 Steps in the Business Model: Define the value proposition. What value does Amazon offer its customers? Amazon offers a convenient and affordable way to shop for a wide variety of products.

Identify the target market. Who are Amazon's customers? Amazon's target market is people who want to buy products online.

Determine the revenue streams. How does Amazon make money? Amazon makes money through product sales, advertising, and subscription fees.

Assess the cost structure. What are Amazon's costs? Amazon's costs include salaries, rent, and marketing.

Develop a marketing plan. How will Amazon reach its target market? Amazon's marketing plan includes online advertising, search engine optimization, and social media marketing.

Create a sales strategy. How will Amazon sell its products? Amazon's sales strategy includes a focus on customer service and convenience.

Build a team. What skills and experience does Amazon need to build a successful business? Amazon needs a team with a variety of skills, including product development, marketing, and sales.

Continuously improve. How will Amazon ensure that its business model is successful? Amazon will continuously improve its business model by listening to customer feedback and adapting to changes in the market.

The 8 steps in the business model are essential for any company that wants to be successful. By following these steps, companies can ensure that they are offering a valuable product or service to the right customers, and that they are able to make money.

In the case of Amazon, the company has clearly defined its value proposition, target market, and revenue streams.

Amazon's marketing plan is also effective, and the company has built a team with the skills and experience necessary to be successful. Finally, Amazon is committed to continuous improvement, which is why the company has been so successful over the years.

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Answer:

A. Average Rate of Change

Step-by-step explanation:

If from total of 28 students, 12 has clock, 16 have calculator and 4 do not have these items, then the number of students that have clock and a calculator are (b) 4.

The total number of students are 28 students,

The number of students who has a clock is = 12 students,

The number of students who has a calculator is = 16 students,

The number of students who do not have any of these is = 4 students,

Let the number of students who has-both clock and calculator be = x,

So, the number of students having only clock are = 12-x,

the number of students having only calculator are = 16-x,

The equation for total students is written as :

⇒ 12-x + x + 16-x + 4 = 28,

⇒ 32 - x = 28,

⇒ x = 32 - 28,

⇒ x = 4,

Therefore, 4 students have a clock and calculator, Option(b) is correct.

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The compression technique that encodes the digital value of an analog sample based on the change from the previous sample is known as Differential Pulse Code Modulation (DPCM).

In this technique, the digital value of the current sample is predicted by using the value of the previous sample. The difference between the predicted value and the actual value of the sample is then encoded and transmitted or stored. By only transmitting the difference between the predicted and actual values, DPCM can achieve a higher compression ratio than other compression techniques that rely on transmitting the absolute value of each sample. DPCM is commonly used in applications such as speech and audio compression, where small differences between consecutive samples can be accurately predicted and transmitted with minimal loss of quality. Overall, DPCM is a powerful compression technique that is widely used in various industries to efficiently encode and store analog signals in a digital format.

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Answer:

just use the line on the graph :D

Step-by-step explanation:

f(6) =2

the maximum is 7

hope this helps!

The graph of the given system of inequalities is a linear graph, and the solution set is the region below the line y = -3x - 2 and above the line y = -3x + 8. Since the lines are not parallel, the solution set will be a line segment.

The graph and solution set of the given system of inequalities are:

Option a. Linear graph; solution set is a line segment.

Step-by-step explanation: The given system of inequalities is:y < -3x - 2 ……….. (1)

y > -3x + 8 ……….. (2)

Let's draw the graphs of the given inequalities: Graph of y < -3x - 2:First, draw the line y = -3x - 2:Mark a point at (0, -2).

Slope of the line is -3, i.e. it falls 3 units for each 1 unit it runs. Move 1 unit to the right and 3 units down from (0, -2) and mark another point. Connect both points to draw a straight line. Since y is less than -3x - 2, the solution set will lie below the line and will not include the line itself. Graph of y > -3x + 8:First, draw the line y = -3x + 8:Mark a point at (0, 8).Slope of the line is -3, i.e. it falls 3 units for each 1 unit it runs. Move 1 unit to the right and 3 units down from (0, 8) and mark another point. Connect both points to draw a straight line. Since y is greater than -3x + 8, the solution set will lie above the line and will not include the line itself. Therefore, the graph of the given system of inequalities is a linear graph, and the solution set is the region below the line y = -3x - 2 and above the line y = -3x + 8.

Since the lines are not parallel, the solution set will be a line segment.

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The given system of inequalities is: y < -3x - 2y > -3x + 8. The graph and the solution set of this system of inequalities is a. Linear graph; solution set is a line segment.

Graph of the system of inequalities: The graph represents the lines y = -3x - 2 and y = -3x + 8.

It is a linear graph.

Both the lines are of the same slope, i.e., -3.

The line y = -3x - 2 is the lower line, and the line y = -3x + 8 is the upper line.

The region below the line y = -3x - 2 and above the line y = -3x + 8 is the feasible region.

The points in this region satisfy the given system of inequalities.

Hence, the solution set of this system of inequalities is a trapezoidal region.

The correct option is: a. Linear graph; solution set is a line segment.

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Main Answer: To achieve the maximum yield, the apple orchard should plant 100 additional trees per acre, resulting in a total of 146 trees per acre.

Supporting Question and Answer:

How does the total yield of apples per acre change as more trees are planted?

The total yield of apples per acre changes as more trees are planted. Initially, as more trees are added, the total yield increases because there are more trees producing apples. However, each additional tree planted per acre results in a decrease in the average number of apples yielded by each tree. Therefore, there is a trade-off between the total number of trees and the average yield per tree. At some point, adding more trees will start to decrease the total yield due to the diminishing average yield per tree. To determine the optimal number of trees per acre for maximum yield, we need to find the balance between adding more trees and maintaining a satisfactory average yield per tree.

Body of the Solution:To solve this optimization problem, let's follow the steps you provided:

1.Define the variables: Let's define the variable "x" as the number of additional trees planted per acre.

2.Write the objective function: The objective is to maximize the total yield of apples per acre. Since each tree yields fewer apples as more trees are planted, we need to consider the trade-off. The total yield can be calculated as follows:

Total yield = (46 + x) × (392 - x)

3.Determine the domain for the objective function: In this case, we should consider realistic constraints. The number of trees cannot be negative, and we assume a reasonable upper limit. Let's say we want to consider up to 100 additional trees. Thus, the domain for the objective function is: 0 ≤ x ≤ 100.

4.List any constraint equations/inequalities: The only constraint in this problem is the domain constraint mentioned above: 0 ≤ x ≤ 100.

5.Find the optimal solution and interpret it in the context of this situation: To find the optimal solution, we need to maximize the objective function within the given domain. We can either graph the objective function and find its maximum value or use calculus to find the critical points.

Taking the derivative of the objective function with respect to x and setting it equal to zero, we can find the critical point:

d/dx [(46 + x) × (392 - x)] = 0

(392 - x) - (46 + x) = 0

392 - x - 46 - x = 0

346 - 2x = 0

2x = 346

x = 346/2

x = 173

The critical point is x = 173, which means planting an additional 173 trees per acre would result in maximum yield.

However, we need to ensure this critical point falls within the domain constraints. Since 0 ≤ x ≤ 100, the optimal solution is x = 100, which represents planting an additional 100 trees per acre for maximum yield.

Therefore, to achieve the maximum yield, the apple orchard should plant 100 additional trees per acre, resulting in a total of 146 trees per acre.

Final Answer: Hence, to achieve the maximum yield, the apple orchard should plant 100 additional trees per acre, resulting in a total of 146 trees per acre.

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To achieve the maximum yield, the apple orchard should plant 100 additional trees per acre, resulting in a total of 146 trees per acre.

The total yield of apples per acre changes as more trees are planted. Initially, as more trees are added, the total yield increases because there are more trees producing apples. However, each additional tree planted per acre results in a decrease in the average number of apples yielded by each tree. Therefore, there is a trade-off between the total number of trees and the average yield per tree. At some point, adding more trees will start to decrease the total yield due to the diminishing average yield per tree. To determine the optimal number of trees per acre for maximum yield, we need to find the balance between adding more trees and maintaining a satisfactory average yield per tree.

To solve this optimization problem, let's follow the steps you provided:

1. Define the variables: Let's define the variable "x" as the number of additional trees planted per acre.

2.Write the objective function: The objective is to maximize the total yield of apples per acre. Since each tree yields fewer apples as more trees are planted, we need to consider the trade-off. The total yield can be calculated as follows:

Total yield = (46 + x) × (392 - x)

3. Determine the domain for the objective function: In this case, we should consider realistic constraints. The number of trees cannot be negative, and we assume a reasonable upper limit. Let's say we want to consider up to 100 additional trees. Thus, the domain for the objective function is: 0 ≤ x ≤ 100.

4.List any constraint equations/inequalities: The only constraint in this problem is the domain constraint mentioned above: 0 ≤ x ≤ 100.

5.Find the optimal solution and interpret it in the context of this situation: To find the optimal solution, we need to maximize the objective function within the given domain. We can either graph the objective function and find its maximum value or use calculus to find the critical points.

Taking the derivative of the objective function with respect to x and setting it equal to zero, we can find the critical point:

d/dx [(46 + x) × (392 - x)] = 0

(392 - x) - (46 + x) = 0

392 - x - 46 - x = 0

346 - 2x = 0

2x = 346

x = 346/2

x = 173

The critical point is x = 173, which means planting an additional 173 trees per acre would result in maximum yield.

However, we need to ensure this critical point falls within the domain constraints. Since 0 ≤ x ≤ 100, the optimal solution is x = 100, which represents planting an additional 100 trees per acre for maximum yield.

Therefore, to achieve the maximum yield, the apple orchard should plant 100 additional trees per acre, resulting in a total of 146 trees per acre.

Hence, to achieve the maximum yield, the apple orchard should plant 100 additional trees per acre, resulting in a total of 146 trees per acre.

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a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Answer:

2.62500

Step-by-step explanation:

just use a calculator

The value of the expression mn/6 + 10 at m = 7 and n = 6 is 17.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as follows,

mn/6 + 10

Its value can be found at m = 7 and n = 6 as follows,

mn/6 + 10

= (7 × 6)/6 + 10

= 7 + 10

= 17

Hence, the value of the given expression at  m = 7 and n = 6 is 17.

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Answer: 0.06 repeated, I'm sorry if it's wrong! I used a calculator.

Step-by-step explanation:

Calculating 2 divided by 5 / 6 should give you the answer 0.06666666666.

Answer:

both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.

please mark as brainliest

Answer:

Sure ur answer is option 2

Step-by-step explanation:

Hope my answer helped :)

To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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Given the provided coordinates of the points, The shape that is formed is a parallelogram because the slopes of the opposite sides are same.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

slope between (1,1) and (4,4),

m1 = 4-1/4-1 =3/3 =1

slope between (4,-2) and (7,1),

m2= 1+2/7-4 = 3/3 =1

m1=m2

similarly, slope between (1,1) and (4,-2),

m3= -2-1/4-1 = -3/3 =-1

slope between (7,1) and (4,4)

m4= 1-4/7-4 = -3/3 =-1

m3=m4

So, slopes of opposite sides are same that means they are parallel, The shape is parallelogram.

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Answer:

X-3, not sure. Try that.

Answer:

\(3(x - 1)\)

Step-by-step explanation:

Thinked number = x

take away = -1

\(x - 1\)

multiply it by 3

\(3(x - 1)\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

20 inches and 4.2 calameders

The given equation is \(18x^3 + 15x^2 - x - 2 = 0\) and the zero of f(x) is given as 33. The solution set of the given equation \(18x^3 + 15x^2 - x - 2 = 0\) is {-2/3, 1/3, -1}.

Given equation is \(18x^3 + 15x^2 - x - 2 = 0\).

The zero of f(x) is given as 33, it means one of the factors of the given equation is \((x - 33)\).

So, we need to divide the given equation by \((x - 33)\) using synthetic division.

Then, we get the new polynomial, which is \(18x^2 + 621x + 67\). By solving the new equation \(18x^2+ 621x + 67 = 0\), we get the other two roots as -2/3 and 1/3.

Therefore, the solution set of the given equation \(18x^3 + 15x^2 - x - 2 = 0\) is {-2/3, 1/3, -1}.Note: Here, we can also solve the given equation using the Rational Root Theorem.

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The only odd integer among the choices is 5mn.

To determine which expression is an odd integer,

we need to know that the sum of an even integer and an odd integer is always odd, and the product of an even integer and an odd integer is always even.

A: 3m + 4n = 2m + m + 4n is even

since it's the sum of two even integers.

B: 5mn is odd since it's the product of an odd and an even integer.

C: (m + 3n)² = m² + 6mn + 9n² is odd since it's the sum of two odd integers and an even integer.

D: m³n² = m * m² * n² is even since it's the product of an even integer and two odd integers.

E: 5m + 6n = 2(2m + 3n) + m is odd since it's the sum of two even integers and an odd integer.

Therefore, the only odd integer among the choices is 5mn.

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Answer:

okay

Step-by-step explanation:

my name is faith hill

Answer:

True

Step-by-step explanation:

If answered this question before

It takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

It takes 100 seconds (20 * 5) for the entire caravan to receive service at the first toll booth.

Assuming that the cars line up at the second toll booth right after receiving service at the first toll booth, the time it takes for the entire caravan to line up before the second toll booth depends on the speed of the cars.

Since the speed of the cars is 10 kilometers per second, in the 100 seconds it takes for the entire caravan to receive service at the first toll booth, the entire caravan travels a distance of 1000 kilometers (100 * 10).

Since the distance between the first and second toll booths is 400 km, it takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

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It takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

It takes 100 seconds (20 * 5) for the entire caravan to receive service at the first toll booth.

Assuming that the cars line up at the second toll booth right after receiving service at the first toll booth, the time it takes for the entire caravan to line up before the second toll booth depends on the speed of the cars.

Since the speed of the cars is 10 kilometers per second, in the 100 seconds it takes for the entire caravan to receive service at the first toll booth, the entire caravan travels a distance of 1000 kilometers (100 * 10).

Since the distance between the first and second toll booths is 400 km, it takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

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Answer:

Y = 2/5x - 11

Step-by-step explanation:

Answer:

5 points per game

Step-by-step explanation:

35/7 = 5

The unit rate for the points scored in the seven basketball game is 5 point per game.

Given, that 35 points were scored in seven basketball game.

For unit rate of points apply unitary method.

Total points scored in seven games = 35

Apply unitary method,

7 Games ⇒ 35 points

Divide by 7 on both sides,

1 game ⇒ 5 points.

Thus unit rate of points scored per game is 5 points.

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