Preconditions, add effects, and delete effects of 4 operators in Blocks World are given next. This is a standard domain used at international planning competitions. All parameters of all operators are blocks. The following table is to be used in answering questions 1, 2, and 3.
Operator Preconditions Add effects Delete effects
Pick(x) empty-hand, ontable(x), clear(x) holding(x) empty-hand, ontable(x), clear(x)
Putdown(x) holding(x) ontable(x), clear(x), empty-hand holding(x)
Stack(x,y) holding(x), clear(y) on(x,y), clear(x), empty-hand holding(x), clear(y)
Unstack(x,y) clear(x), on(x,y), empty-hand holding(x), clear(y) clear(x), on(x,y), empty-hand
(Question 1) How many actions can be derived from these operators if there are n blockc?
(Question 2) What is the maximum number of actions applicable in a state in forward direction if there are n blocks? What will be true in that state?
(Question 3) If there are 5 blocks denoted by A', B', C', D', and E', and holding(A') is true in a state, mention any 10 facts that are guaranteed to be false in that state.
The following 7 examples are to be used for answering questions 4 and 5. These are examples of books that a reader chose to read and chose not to read. The value of WNPL tells if the book author won Nobel Prize in Literature or not. The value of WBP tells if the book author won Booker Prize or not. Assume that the examples are denoted by e1, e2, e3, e4, e5, e6, and e7 from top to bottom.
WNPL WBP Type Page count Chosen-for-reading
No No Prose <= 300 No
Yes No Prose > 300 No
Yes Yes Poetry > 300 Yes
No No Poetry <= 300 Yes
Yes Yes Prose > 300 No
Yes No Poetry > 300 Yes
Yes Yes Prose <= 300 Yes
(Question 4) Mention 5 purely-conjunctive hypotheses consistent with the first 3 examples. If 5 such hypotheses do not exist, mention that with an explanation.
(Question 5) What is the largest subset of the given examples such that a purely-conjunctive hypothesis consistent with all examples in this subset exists?

Answer: 3(x+4)<-12 and x+4<4

Step-by-step explanation:

3|x+4| - 5 < 7

The two inequalities which is used to find the solution to this absolute value inequality 3 |x + 4| - 5 < 7 are;

⇒ x - 4 < 4

And, x - 4 > - 4

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ 3 |x - 4| - 5 < 7

Now,

Since, The inequality is,

⇒ 3 |x - 4| - 5 < 7

Solve as;

⇒ 3 |x - 4| - 5 + 5 < 7 + 5

⇒ 3 |x - 4| < 12

⇒ |x - 4| < 4

This gives two solution as;

⇒ x - 4 < 4

And, x - 4 > - 4

Thus, The two solutions are;

⇒ x - 4 < 4

And, x - 4 > - 4

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Step-by-step explanation:

-3p+6p is 3p

-3 + 6 = 3

So when you simplify the equation you get 3p

Answer:

(2,7)

Step-by-step explanation:

When you reflect something across the X-axis, the y coordinate changes sign.

The transformation of the functions is (d) translation of 34 units left and 27 units down

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

The function of y

Where, we have

y = (eˣ ⁺ ³⁴) - 27

The parent function of the above equation is

y = eˣ

So, we have the following transformation rule

(x, y) = (x + 34, y - 27)

This means that the transformation of the functions is (d) translation of 34 units left and 27 units down

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Answer:

180(.30)=54, 180-54=126, 126(0.075)=9.45+126=135.45

Step-by-step explanation:

The total is $135.45.

Answer:$135.45

Step-by-step explanation:

180X .30 = 54 dollars off

180-54 =126 so the board on sales costs $126

Adding the tax

126x.075 = 9.45 is the tax due

126+9.45 = 135.45

Poles are usually standing vertical, thus at right angle with the ground. The length of tree touching the top of pole is given by: Option D: 17 feet.

A right angled triangle is a triangle having one of its angle with measure of 90 degrees.

The slant side(leaning side) of that triangle is called Hypotenuse and it is the longest side in that triangle.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

\(|AC|^2 = |AB|^2 + |BC|^2\)

Where |AB| = length of line segment AB.

We can use the fact that the pole is standing vertical, the tree is leaning on it, so there is right angled triangle formation, and thus, we can use Pythagoras theorem.

Consider the graph attached below.

The tree is AC, The pole is AB and the distance of pole's bottom from the bottom of the tree is denoted by length of BC

We're already given that:

Pole length = |AB| = 15 feet

Distance between bottom of pole to bottom of tree = |BC| = 8 feet

The length of tree is |AC| = x feet (assume)

Then, by the Pythagoras theorem, we get:

\(x^2 = 15^2 + 8^2\\\\x = \sqrt{225 + 64} \text{\: (We took positive root since length is a non negative quantity)}\\\\x =\sqrt{289} = 17 \: \rm feet\)

Thus, length of AC = |AC| = 17 feet.

Thus,

The length of tree touching the top of pole is given by: Option D: 17 feet.

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Answer:

The answer above is wrong.  12.7
15² = 8² + h²
225 = 64 + h²

225 - 64 = h²
161 = h²

√161 ≈ 12.69

Step-by-step explanation:

The best way to solve this problem is to imagine the situation as follows: Suppose that each position (first, second and third) is a numbered box. (first is box number one, and so on).

Now, imagine that each student is a ball that is numbered from 1 up to 11.

The situation translates to calculate in how many different ways we can put a ball in each box, without putting 2 balls in each box. We have the following

To solve this, we will use the multiplication principle. This principle relays on multiplying the number of possibilites for each box. Consider the case in which we will fill the box number 1. We can choose any of the numbers, so we have 11 posibilites. Now, suppose that we chose one number for box 1, and now we want to fill box 2. Then, we will have 10 possibilites only, since we already picked one. In the same manner, to fill the third box we have 9 possibilities. So the total number of possibilites is the product of this three numbers. That is

Answer:

Ekta and Preyal

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

every output has a different input so the answer would be one

Answer:

A function is a specific type of relation in which each input value has one and only one output value. An input is the independent value, and the output value is the dependent value, as it depends on the value of the input.

Answer:

y=2

Step-by-step explanation:

5y-6=(2y*9)-32

5y-6=18y-32

32-6=18y-5y

26=13y

26/13=13y/13

2=y

y=2 [Answer]

Please rate and mark me the brainiest!!

Hey there!

Let's solve your equation step-by-step.

\(\fbox{5y−6=2y(9)−32}\)

Step 1: Simplify both sides of the equation.

\(\fbox{5y−6=2y(9)−32}\)

\(\fbox{5y+−6=18y+−32}\)

\(\fbox{5y−6=18y−32}\)

Step 2: Subtract 18y from both sides.

\(\fbox{5y−6−18y=18y−32−18y}\)

\(\fbox{−13y−6=−32}\)

Step 3: Add 6 to both sides.

\(\fbox{−13y−6+6=−32+6}\)

\(\fbox{−13y=−26}\)

Step 4: Divide both sides by -13.

\(\fbox{−13y/−13 = −26/−13}\)

\(\fbox{y=2}\)

Answer:

\(\fbox{y=\fbox{2}}\)

Answer:

The value of x

Step-by-step explanation:

Is -3 i think soooooo

The relationship between the number of pounds of fertilizer A (x) and the number of pounds of fertilizer B (y) can be represented by the equation 0.6x + 0.4y = 240. By solving this equation, the gardener can determine the combination of fertilizer A and fertilizer B that will yield a total of 240 pounds of filler materials.

Let's consider the amount of filler material in each type of fertilizer. Fertilizer A contains 60% filler materials, which means that 60% of its weight is filler material. Similarly, fertilizer B contains 40% filler materials, so 40% of its weight is filler material.

To find the relationship between the amounts of fertilizer A (x) and fertilizer B (y) in terms of the total filler material, we multiply the weight of each type of fertilizer by its respective filler material percentage. Thus, the weight of filler materials contributed by fertilizer A is 0.6x, and the weight contributed by fertilizer B is 0.4y.

According to the given information, the total weight of filler materials is 240 pounds. Therefore, we can form the equation 0.6x + 0.4y = 240, which represents the relationship between the pounds of fertilizer A and fertilizer B in terms of the total filler materials.

By solving this equation, the gardener can determine the specific combination of fertilizer A and fertilizer B that will result in a total of 240 pounds of filler materials.

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To find the probability distribution for Y, the number of errors detected by the auditor, we can use the binomial distribution formula. The binomial distribution is used when there are only two possible outcomes, success or failure, and each trial is independent.

In this case, the probability of success (detecting an error) is 5% or 0.05, and the probability of failure (not detecting an error) is 1 - 0.05 = 0.95.

a. To find the probability distribution for Y, we can use the formula for the binomial distribution:

P(Y = y) = (nCk) * p^k * (1-p)^(n-k)

where n is the number of trials (3 in this case), k is the number of successes (errors detected), p is the probability of success (0.05), and (nCk) is the combination formula.

For y = 0:
P(Y = 0) = (3C0) * (0.05)^0 * (0.95)^(3-0) = (1) * (1) * (0.95)^3 = 0.857375

For y = 1:
P(Y = 1) = (3C1) * (0.05)^1 * (0.95)^(3-1) = (3) * (0.05) * (0.95)^2 = 0.135375

For y = 2:
P(Y = 2) = (3C2) * (0.05)^2 * (0.95)^(3-2) = (3) * (0.05)^2 * (0.95)^1 = 0.007125

For y = 3:
P(Y = 3) = (3C3) * (0.05)^3 * (0.95)^(3-3) = (1) * (0.05)^3 * (0.95)^0 = 0.000125

So the probability distribution for Y is:
Y = 0 with probability 0.857375
Y = 1 with probability 0.135375
Y = 2 with probability 0.007125
Y = 3 with probability 0.000125

b. To construct a probability histogram for p(y), you can create a bar graph where the x-axis represents the number of errors detected (Y) and the y-axis represents the probability (P(Y = y)). Each bar will have a height corresponding to the probability.

c. To find the probability that the auditor will detect more than one error, we need to calculate the sum of the probabilities for Y = 2 and Y = 3:

P(Y > 1) = P(Y = 2) + P(Y = 3) = 0.007125 + 0.000125 = 0.00725

Therefore, the probability that the auditor will detect more than one error is 0.00725.

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Answer:

1. k + 2 (or other way around, it doesn't matter)

2. PY or P×Y

3. 10 - z

Step-by-step explanation:

1. You are adding here, so you add the two terms together.

2. If we had the amount of rulers and how much they cost, we could multiply to find these. Since we don't, we just leave the two variables to be multiplied.

3. It is asking the difference between two numbers, meaning that you need to subtract. With these types of problems, you always use the first number that appears in the problem to start the expression. For instance, if it had listed z first, then you would have done z - 10.

1000 hours in day can be converted in to by a formula dividing the the 1000 hours by 24 is 41.66 days.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

As 1 Hour is equal to 0.0416666666667 Days, you must multiply 1000 by 0.041666666666667 to convert hours to days. The outcome is as follows:

1000 hr × 0.041666666666667 = 41.667 d

1000 hr = 41.667 d

We come to the conclusion that one thousand thousand hours is equal to 41.7667 days:

41.667 days are equivalent to 1000 hours.

Hence, using the conversion method above, you can figure out how many days there are in 1000 hours.

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Answer:

X=20

Step-by-step explanation:

Verticals angles have same degree.

3x=x+40

x=20

Answer:

The value of \(x\) would be 20°.

Step-by-step explanation:

Since vertical angles are equivalent, and ∠SRT and ∠VRW are vertical angles, you can create the equation \(3x = x + 40\) to solve for \(x\). \(3x = x+40\) ⇒ \(2x = 40\) ⇒ \(x=20\)°, so that would be the correct answer.

Answer:

500 would be the answer of this question but it is also the standard form of this question

Answer:

180-45=135

Step-by-step explanation:

The unknown angle can be found by subtracting 180-45=135. ABC measures 180 because it is a straight angel and ABC meausres 45.

The sampling method used by the employment agency to determine the employment rate in the city is stratified random sampling.

The correct answer choice is option D.

Simple random sampling involves the researcher randomly selecting a subset of participants from a population.

Stratified random sampling is a method of sampling that involves the researcher dividing a population into smaller subgroups known as strata.

Purposive sampling as the name implies refers to a sampling techniques in which units are selected because they have characteristics that you need in your sample.

Convenience sampling involves a researcher using respondents who are “convenient” for him.

Complete question:

An employment agency wants to examine the employment rate in a city. The employment agency divides the population into the following subgroups: age, gender, graduates, nongraduates, and discipline of graduation. The employment agency then indiscriminately selects sample members from each of these subgroups. This is an example of

a. purposive sampling.

b. simple random sampling.

c. convenience sampling.

d. stratified random sampling.

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The median of the following set of numbers  (18, 26, 29, 18, 44) is 26. The correct option to this question is option A

To find median of the following sequence (18, 26, 29, 18, 44) we will arrange them in ascending order

                            18 , 18 , 26 , 29 , 44   . . . . . .  . . . .(1)

Since the number of terms is odd we will apply the formula

                     Median  = \(\frac{(n+1)}{2} th\) term . . . . . . .(2)

       Here n = number of terms

As per question the n = 5

Therefore putting in equation 2 we get

                      Median = \(\frac{(5+1)}{2} th\) term

                      Median = \(\frac{6}{2} th \\\)  term

                      Median = 3 term

Hence the third term from the sequence ( shown in 1 ) we get the median that is 26

Hence the median of the following set of numbers (18, 26, 29, 18, 44) is 26 .

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The median is:

26

Explanation:

First, we will arrange the numbers from least to greatest.

18, 26, 29, 18, 44

Rearrange

18, 18, 26, 29, 44.

Now, the median is the number in the middle, which is 26.

All humans are considered to be consumers. A consumer is an organism that obtains its energy and nutrients by feeding on other organisms.

As humans, we consume food to provide our bodies with the energy and nutrients necessary for survival. Whether we eat meat, plants, or a combination of both, we are still consumers. In the case of herbivores, they consume only plant matter, but they are still considered consumers because they are obtaining their energy and nutrients from other living organisms (plants). Therefore, regardless of our dietary choices, all humans are classified as consumers in ecological terms.

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The possibilities to complete a 5-row garden, Brad would need 40 columns.

To determine the number of columns needed for a 5-row garden, we can use the concept of proportional reasoning. We know that the number of rows and columns must be in proportion to maintain a grid-like pattern.

Given that 8 rows require 25 columns and 10 rows require 20 columns, we can set up a proportion to find the number of columns needed for 5 rows:

8 rows / 25 columns = 5 rows / x columns

Cross-multiplying, we get:

8x = 25 * 5

8x = 125

Dividing both sides by 8:

x = 125 / 8

x ≈ 15.625

Since we are dealing with whole numbers of columns, we round up to the nearest whole number. Therefore, to complete a 5-row garden, Brad would need 16 columns.

To complete a 5-row garden, Brad would need 40 columns.

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We need to solve the next system of equations by using elimination:

1) x + 4y = 10

2) x -+7y = 16

Subtract both equations:

x + 4y = 10

-

( x - 7y = 16)

------------------------

x-x + (4y-7y) = 10-16

0 -3y = -6

Solve for y

-3y = -6

Divide both sides by -3

-3y/ -3 = -6/-3

Then:

y = 2

Now, replace this y-value on the first equation:

1) x + 4y = 10

x + 4(2) = 10

x + 8 = 10

Solve the equation for x:

Subtract both sides by 8

x + 8 -8 = 10 -8

x = 2

Therefore, x =2 and y =2

Answer:

x = 5

Step-by-step explanation:

Step 1:

2 (5x + 2) = 54

Step 2:

10x + 4 = 54

Step 3:

10x = 50

Answer:

x = 5

Hope This Helps :)

Answer:

x = 5

Step-by-step explanation:

2(5x+2)=54 (distribute)

10x+4=54 (subtract the 4 on both sides)

     -4   -4

10x = 50 (divide 10 on both sides)

10      10

x = 5

Answer:

6 units

Step-by-step explanation:

you have to divide 36 by 6

Answer:

Step-by-step explanation:

1u(36in/6u)=6in

Answer:

Booker:  $103.50 profit

Finley:  $34.50 profit

Step-by-step explanation:

b = # of candles Booker sold

f = # of candles Finley sold

1)  b = 3f

2) f = b - 12    substitute b=3f into this equation to get an expression all in terms of f, then solve for f

f = 3f - 12

-2f = -12

f = -12/2 = 6    now plug this into either equation and solve for b

b = 3(6) = 18

Booker:  18 candles x $5.75 profit/candle = $103.50 profit

Finley:  6 candles x $5.75 profit/candle = $34.50 profit

Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.

To determine the number of days it would take two computers to print personalized letters, the formula to use is given as follows:

1/Total Work = 1/Work of Computer A + 1/Work of Computer B

= 1/TimeTaken

In this question, Computer A takes 8 days to do the job, and Computer B takes 5 days to do the job.

Therefore, 1/Total Work = 1/8 + 1/5 = 0.25

Therefore, the total work would be equal to 1/0.25, which is equal to 4 days.

Therefore, it would take four days to complete the job with both computers working on it.

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For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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Answer: 2^2 * 3^3

Step-by-step explanation: In this problem, you are only transferring each factor into an exponent. Since there are two factors of two and three factors of three, the answer would be two squared multiplied by three cubed.