a) What is the correct postfix expression of the given infix expression below (with single digit numbers)? (2+4*(3-9)*(8/6)) a. 2439-*86/" + O b. 2439-+*86/* O c. 2439-**86/+ O d. 2439-*+86/* b) Consider implementing heaps by using arrays, which one of the following array represents a heap? O a. [30,26,12,23,10,8] O b. (18,12,13,10,11,16] Oc. (30,26,12,13,10,18] O d. [8,12,13,14,11,16] c) Which of the following is wrong, after each iteration of quick sorting? O a. Elements in one specific (e.g. right) portion are larger than the selected pivot. O b. The selected pivot is already in the right position in the final sorting order. Oc. Elements in one specific (e.g. left) portion are smaller than the selected pivot. O d. None of the other answers d) Which of the following is used for time complexity analysis of algorithms? O a Counting the total number of all instructions O b. Counting the total number of key instructions None of the other answers O d. Measuring the actual time to run key instructions

The expected value of the sampling distribution of p is 0.9.

A sampling distribution is a statistical probability distribution derived from a larger number of samples gathered from a certain population. The sampling distribution of a given population is the distribution of frequencies of a range of possible outcomes for a population statistic.

The sample size multiplied by the population mean yields the expected value of the sample total.

The anticipated value is calculated in statistics and probability analysis by multiplying each conceivable outcome by the likelihood that each outcome will occur and then adding all of those values.

In this case, the the proportion of people who order coffee with their dinner is 0.9. This is the expected value.

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The expressions -(3x - 7 - 1/2) and 7.5 - 3x are equivalent

From the question, we have the following parameters that can be used in our computation:

-(3x - 7 - 1/2) and 7.5 - 3x

Open the brackets

So, we have the following representation

-3x + 7 + 1/2 and 7.5 - 3x

Evaluate the like terms

-3x + 7.5 and 7.5 - 3x

The above expressions are the same

Hence, -3x + 7.5 and 7.5 - 3x are equivalent

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Answer:

Attach the picture of the graph

Step-by-step explanation:

Answer:

You can solve this problem using substitution.

c = 5c ÷ (b-a)

c = 5c ÷ (3-2)

c = 5c ÷ (1)

c = 5c

c = 0

There is no way that 5 of something can equal 1 of something.

Answer:

$250

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

Answer:0=4x^2+12x+9

Step-by-step explanation:

The standard form of the quadratic equation is y = 4x² + 12x + 9. Then the correct option is D. And the value of a, b, and c will be 4, 12, and 9.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

The equation is given below.

y = (2x + 3)²

Simplify the equation, then we have

y = 4x² + 12x + 9

Then the correct option is D.

Compare the equation with standard equation, then we have

a = 4

b = 12

c = 9

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\(\displaystyle\\Answer:\ y=\frac{7}{16}x^2 -\frac{7}{4}x-\frac{5}{4}\)

Step-by-step explanation:

The vertex is also the symmetry point of the parabola. The formula for finding the x-coordinate of the parabola: x = -b/2a  (2,-3)

Hence,

\(\displaystyle\\2=\frac{-b}{2a} \\\)

Multiply both parts of the equation by -2a:

\(\displaystyle\\-4a=b\ \ \ \ \ (1)\)

\(y=ax^2+bx+c\ \ \ \ \ -\ \ \ \ \ the\ quadratic\ equation\\\\Thus,\)

You can make a system of equations on two points belonging to the quadratic equation:

\(-3=a(2)^2+b(2)+c\\4=a(6)^2+b(6)+c\\\\-3=4a+2b+c\ \ \ \ (2)\\4=36a+6b+c\ \ \ \ (3)\\\\\)

Substitute (1) into equations (2) and (3):

\(-3=4a+2(-4a)+c\\4=36a+6(-4a)+c\\\\-3=4a-8a+c\\4=36a-24a+c\\\\-3=-4a+c\ \ \ \ (4)\\4=12a+c \ \ \ \ (5)\\\\\\\)

Subtract equation (4) from equation (5):

\(7=16a\)

Divide both parts of the equation by 16:

\(\displaystyle\\\frac{7}{16} =a\ \ \ \ (6)\)

Substitute (6) into equations (1):

\(\displaystyle\\-4(\frac{7}{16} )=b\\\\-\frac{4*7}{4*4}=b\\\\-\frac{7}{4}=b\)

Substitute values a and b into equation (2):

\(\displaystyle-3=4(\frac{7}{16})+2(-\frac{7}{4})+c\\\\ -3=\frac{7}{4} -\frac{14}{4}+c\\\\ -3=-\frac{7}{4}+c \\\\-3+\frac{7}{4}=-\frac{7}{4}+c+\frac{7}{4} \\\\ \frac{-3*4+7}{4} =c\\\\\frac{-12+7}{4}=c\\\\ -\frac{5}{4}=c\)

Thus,

\(\displaystyle\\y=\frac{7}{16}x^2 -\frac{7}{4}x-\frac{5}{4}\)

Answer:

40

Step-by-step explanation:

4•10(10 answers at 4 people)

The number of ways you can select n elements from N elements by using factorial (!) when n=2 and N=10 is 45.

Factorial is a crucial mathematical operation that is used to determine the number of possible arrangements or the ordered set of numbers. Daniel Bernoulli is credited with discovering the factorial function's well-known interpolating feature. Numerous mathematical ideas, including probability, permutations and combinations, sequences and series, etc., use the factorial concept. A factorial function, in essence, multiplies a number by each number below it until it equals 1. For instance, the factorial of 3 is equal to 6 and reflects the multiplication of the integers 3, 2, and 1.

Now,

The number of ways you can select n elements from N elements when n=2 and N=10 is \(\frac{N!}{n!(N-n)!}\)

=\(\frac{10!}{2!(8)!}\)

=\(\frac{10 \times 9 \times \times 8!}{8! \times 2 !}\)

=45

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Answer:

Step-by-step explanation:

there ya go

Answer:

B) 13

Step-by-step explanation:

1. The given statement "A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process" is True

2. The given statement "Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory" is True

1) Negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process.

Noise refers to any external or internal element that disrupts communication. Communication is the exchange of messages between two or more people, so noise in communication refers to anything that interferes with the exchange of messages.

2)Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory.

Herzberg's two-factor theory, also known as the motivation-hygiene theory, identifies the two types of factors that affect job satisfaction:

hygiene factors and motivating factors.

Employee motivation and pay satisfaction are examples of motivating factors that contribute to job satisfaction.

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Answer:

3 more balloons she has popped in the second game.

Step-by-step explanation:

Given that,

Total no. of balloons = 18

Amy popped 2/3 the first game and 5/6 the second game.

Balloons popped in first game = \(\dfrac{2}{3}\times 18=12\ \text{balloons}\)

Balloons popped in second game = \(\dfrac{5}{6}\times 18=15\ \text{balloons}\)

Difference of balloons popped in first and second game,

= 15-12

= 3 balloons

Hence, 3 more balloons she has popped in the second game.

Answer:

6 days

Step-by-step explanation:

shirley earned 50 dollars before farah started saving

50-15

60-30

70-45

80-60

90-85

100-100

6 days

In 10 days Farah and Shirley will have the same amount of money

A linear equation is an alzebraic expression which has highest degree of one and contains only one variable.

In the given question farah saved 15$/day and Shirley saved 10$/day

Shirley started 5 days earlier so in 5 days she will save 10 x 5 = 50$

let assume days to be x.

So,

   10x + 50 = 15x

   5x = 50

    x = 10 .

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The domain of the function f is {a, 6, c, d}, and the range of the function f is {2, 3, 4, 5}. The function f(b) is not defined because b is not in the domain of the function. However, f(d) is 5.

In this case, the domain of the function f is determined by the elements in the set A, which are {a, b, c, d}. In this case, the range of the function f is determined by the second elements in each ordered pair of the function f, which are {2, 3, 4, 5}.

Since the element b is not included in the domain of the function f, f(b) is not defined. It means there is no corresponding output value for the input b in the function f.

However, the element d is in the domain of the function f, and its corresponding output value is 5. Therefore, f(d) is equal to 5.

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The equation for a circle with a radius of r and center at (h, k) is given by \((x - h)^2 + (y - k)^2 = r^2\).The correct answer is option B.

In this equation, (x, y) represents any point on the circle's circumference. The center of the circle is denoted by (h, k), which specifies the horizontal and vertical positions of the center point.

The radius, r, represents the distance from the center to any point on the circle's circumference.

This equation is derived from the Pythagorean theorem. By considering a right triangle formed between the center of the circle, a point on the circumference, and the x or y-axis, we can determine the relationship between the coordinates (x, y), the center (h, k), and the radius r.

The lengths of the triangle's sides are (x - h) for the horizontal distance, (y - k) for the vertical distance, and r for the hypotenuse, which is the radius.

By squaring both sides of the equation, we eliminate the square root operation, resulting in the standard form of the equation for a circle.

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Answer:

8 inches

Step-by-step explanation:

The area of a circle is:

A = π\(r^{2}\)

We know the area is 16π

16π = π\(r^{2}\)

16 = \(r^{2}\)

Taking the square root of both sides.

4 = r

The diameter is 2 times the radius.

D = 2r.

D = 2(4) = 8 inches

Answer:

pi r *2 = 16 pi

r*2=16

r= squre root of 16 = 4

diameter = 2r = 8 units

Each box needs to have a minimum space of 576 cubic inches to hold the toy.

What is a cuboid?

A cuboid is a three-dimensional solid shape that has six rectangular faces, where each face meets at right angles with adjacent faces.

To calculate the space required for each box to hold a toy that is 8 inches tall by 12 inches wide and 6 inches deep, we need to calculate the volume of the toy.

The volume of the toy can be calculated as:

Volume = height x width x depth

Volume = 8 inches x 12 inches x 6 inches

Volume = 576 cubic inches

Therefore, each box needs to have a minimum space of 576 cubic inches to hold the toy.

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In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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A record's key field is the field whose contents make the record unique among all records in a file.

In computer science and database management, a record's key field, also known as a primary key, is a unique identifier that is used to distinguish one record from another in a database. A key field can be a single field or a combination of fields that uniquely identify a record.

For example, in a database of employee records, the social security number or employee ID number may be used as the key field to identify each employee record. This key field must be unique for each record in the database, and it is typically indexed to allow for faster searching and sorting of records.

The key field plays a crucial role in ensuring data integrity and consistency in a database. It is used to enforce data constraints and relationships between tables, and it is often used as a reference by other tables in a database.

In summary, a record's key field is an important component of a database that uniquely identifies each record and allows for efficient management and organization of data.

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However, in our case, we found that the marginal pdf f1(x) is ∞, which means it does not exist. Therefore, X and Y are not independent.

a. To find the marginal pdf of f1(x) of X, we need to integrate the joint pdf f(x, y) with respect to y while considering the limits of integration:

f1(x) = ∫[from y = 0 to y = ∞] f(x, y) dy

Given f(x, y) = 15xy^2, the integral becomes:

f1(x) = ∫[from y = 0 to y = ∞] 15xy^2 dy

Integrating with respect to y, we get:

f1(x) = 15x ∫[from y = 0 to y = ∞] y^2 dy

= 15x [y^3/3] evaluated from y = 0 to y = ∞

= 15x (∞^3/3) - 15x (0^3/3)

= ∞ - 0

= ∞

Since the integral evaluates to ∞, the marginal pdf f1(x) of X is not a proper probability density function.

b. To find the conditional pdf f2(y|x), we use the following formula:

f2(y|x) = f(x, y) / f1(x)

Given f(x, y) = 15xy^2 (from the joint pdf) and f1(x) = ∞ (from the previous result), the conditional pdf becomes:

f2(y|x) = (15xy^2) / ∞

= 0

Therefore, the conditional pdf f2(y|x) is 0, indicating that the random variable Y does not have any distribution given X.

c. To find P(Y > 1/3 | X = x) for any 1/3 < x < 1, we need to integrate the joint pdf f(x, y) with the given condition:

P(Y > 1/3 | X = x) = ∫[from y = 1/3 to y = ∞] f(x, y) dy / f1(x)

Given f(x, y) = 15xy^2 and f1(x) = ∞ (from the previous result), we have:

P(Y > 1/3 | X = x) = ∫[from y = 1/3 to y = ∞] 15xy^2 dy / ∞

Since the numerator is a definite integral while the denominator is ∞, the probability becomes indeterminate.

d. X and Y are not independent. One way to justify this is by checking if the joint pdf factorizes into the product of the marginal pdfs:

If X and Y were independent, we would have:

f(x, y) = f1(x) * f2(y)

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Answer:

2.83 units diagonally

2 units horizontally and 2 units vertically

Step-by-step explanation:

x position difference      -2-(-4)=2

y position difference       7-5=2

2 units horizontally and 2 units vertically on a graph

2^2+2^2=8

sq rt 8=2.83 units

The correct force equilibrium equation along the y direction is ∑Fy = Cy + 450sin40° - 300 = 0.

The force equilibrium equation is used to find the unknown forces or force components that keep an object stationary, i.e. in equilibrium.

A force is defined as the push or pull on an object that results from its interaction with another object. The force equilibrium equation is based on the principle that for an object to be in equilibrium, the sum of all the forces acting on it must be equal to zero.

This equation is a vector equation that can be resolved into its x and y components. The correct force equilibrium equation along the y direction is ∑Fy = Cy + 450sin40° - 300 = 0.

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Answer:

B (4,2)

Step-by-step explanation:

This coordinate pair would make the relation not a function because there would be two X values that are the same.

Answer:

B

Step-by-step explanation:

Answer:

57°

Step-by-step explanation:

Angles EGB and EHD are corresponding angles of two parallel lines cut by a transversal; therefore, they are congruent.

m<EGB = m<EHD = 57°

Answer:

1. Quadrant IV

2.Quandrant III

3.Quadrant II

4.Quadrant I

Step-by-step explanation:

Answer:

the value of x that makes ACDE~AFGH is 27

Answer: (x+2)² + (y-2)²= 25

Step-by-step explanation:

remember that the standard equation of a circle is (x-a)²+(y-b)²=r²

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.