solve the equation
1/8 + c = 4/5

Answer: \(\frac{3}{8}\)

Step-by-step explanation:

     To find our answer, we will divide the wanted outcomes by the total outcomes.

          \(\displaystyle \frac{\text{wanted outcomes}}{\text{total outcomes}} =\frac{\text{less than ten days}}{\text{total flower types}}=\frac{3\;\text{types of flowers}}{8\;\text{different flowers}} =\frac{3}{8}\)

The inference engine in an expert system will use both forward and backward chaining as needed to manipulate the rules and make decisions based on the available data and the desired outcome.

To address your question concisely:
The component of an expert system that uses forward and backward chaining to manipulate a series of rules is called the Inference Engine.
An expert system is composed of three primary components: the Knowledge Base, the Inference Engine, and the User Interface.

The Knowledge Base contains the domain-specific facts and rules that the system relies on to solve problems.

The User Interface facilitates communication between the user and the system.
The Inference Engine is responsible for reasoning and drawing conclusions based on the knowledge stored in the Knowledge Base.

It applies logical techniques such as forward and backward chaining to manipulate and evaluate rules.
In forward chaining, the Inference Engine begins with the available data and applies rules to deduce new information or conclusions.

This approach is data-driven, as it starts with facts and moves towards conclusions.
In backward chaining, the Inference Engine starts with a goal or hypothesis and works backward to find supporting evidence or facts.

This approach is goal-driven, as it begins with a desired conclusion and looks for rules that can lead to it.
By employing both forward and backward chaining, the Inference Engine is able to effectively analyze and manipulate rules to provide accurate and reliable solutions to problems within the domain of the expert system.

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By using both forward and backward chaining, the inference engine can efficiently evaluate complex sets of rules and make accurate decisions based on the available data.

The inference engine component of an expert system uses forward and backward chaining to manipulate a series of rules. Forward chaining involves starting with initial data and applying rules to draw a conclusion, while backward chaining involves starting with a goal and working backward to find the necessary data and rules to reach that goal.

By using both forward and backward chaining, the inference engine can efficiently evaluate complex sets of rules and make accurate decisions based on the available data.

The component of an expert system that uses forward and backward chaining to manipulate a series of rules is called the "inference engine". The inference engine applies logical reasoning to deduce new information based on the provided facts and rules in the knowledge base, ultimately assisting in problem-solving and decision-making processes.

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The work done in propelling the lunar module from the surface of the moon to a height of 40 miles is 3,571,607,996 Joules.

This can be calculated as follows:

Weight of the lunar module on the surface of the Earth = 12 tons
converting weight to mass = weight/acceleration due to gravity
mass = 12 x 1000 / 9.81
mass = 1,224.6 kg

The force required to lift the module off the surface of the moon is equal to its weight, which is given by the formula:
force = mass x acceleration due to gravity
force = 1,224.6 x 1.62
force = 1,982.8 N

Calculating the total distance traveled:
distance = 1,737.1 + 64.37
distance = 1,801.47 km

Calculating the work done:
work = force x distance
work = 1,982.8 x 1,801,470
work = 3,571,607,996 J

Therefore, the work done in propelling the lunar module from the surface of the moon to a height of 40 miles is 3,571,607,996 Joules.

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Answer:

a) 3x(y-3)

b) (x-2)(X+2)

Step-by-step explanation:

See the steps below:) You can also use the app photo math, you take a picture and it will give you the answer and explain the steps:)

The following is the expected value of a number of books a student buys at the next book fair is 2.404 books.

The random variable b's expected value is then calculated as follows:

E(X) = 1 x 0.285 + 2 x 0.333 + 3 x 0.168 + 4 x 0.136 + 5 x 0.063 + 6 x 0.015 E(X)  = 2.404 books.

Thus, the expected value of discrete probability distribution is 2.404 books.

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The graph for the question is attached.

.Therefore, the probability that a randomly chosen vehicle is traveling at a legal speed is 0.0475 or 0.00024 rounded to two decimal places.

(a) The probability that a randomly chosen vehicle is traveling at a legal speed is 0.00024.A highway has a speed limit of 100 km/h, and the speeds of vehicles are usually distributed, with a mean of 115 km/h and a standard deviation of 9 km/h.

In other words, the distribution is as follows:X ∼ N(115, 9).P(X ≤ 100) is the probability that a randomly selected vehicle is traveling at a legal speed, where X represents the speed of a randomly selected vehicle.Let Z = (X - µ)/σ be the standardized value of X.Then,  Z =\((100 - 115)/9 = - 1.67\).The probability of Z is - 1.67 is given by P(Z ≤ - 1.67).Using the standard normal distribution table,\(P(Z ≤ - 1.67) = 0.0475\). The probability that a randomly chosen vehicle is traveling at a legal speed is 0.0475

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Answer:

y=2x-8

Step-by-step explanation:

y=Mx+k

Plug in(3,-2)(6,4)

3m+k=-2

6m+k=4

First function multiply by 2,we got:

6m+2k=-4

6m+k=4

k=-8

Y=Mx-8

Plug in any points that is in the question, I use(6,4)

4=6m-8

m=2

Y=2x-8

Answer:

y = 2x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3, - 2) and (x₂, y₂ ) = (6, 4)

m = \(\frac{4+2}{6-3}\) = \(\frac{6}{3}\) = 2, then

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (6, 4 ), then

4 = 12 + c ⇒ c = 4 - 12 = - 8

y = 2x - 8 ← equation of line

Step-by-step explanation:

0.33 is the correct price of 1 water

Answer:

A single water bottle costs, on average, $1.45. The total cost of bottled water sold in the United States is $11.8 billion dollars and the global annual cost is $60 billion. There are an average of 167 water bottles per person used each year in the United States.On average, a 20-ounce bottle of water costs approximately $1.50. When translating this into gallons, water costs approximately $9.60 per gallon on average when consumed in bottled water form.

Step-by-step explanation:

The value of p(0 ≤ z ≤ 1.37) is approximately 0.41 (rounded to 2 decimal places).

What is Probability ?

Probability is a branch of mathematics that deals with the study of the likelihood or chance of an event occurring. It is the measure of the likelihood that a particular event or set of events will occur.

To find the value of p(0 ≤ z ≤ 1.37) using Appendix C-1, we need to locate the row containing 0.1 in the far-left column and the column containing 0.37 in the top row.

Starting with the row containing 0.1 in the far-left column, we can locate the value closest to 1.3 in the row, which is 1.37. Moving along the row to the right, we can find the corresponding value of the cumulative distribution function (CDF) for this value of z, which is 0.9147.

Next, we need to find the column containing 0.37 in the top row. The closest value in the column is 0.3707. Moving down the column to the row containing the CDF value we just found, we can read off the value of the CDF for z = 0, which is 0.5000.

To find the value of p(0 ≤ z ≤ 1.37), we subtract the CDF value for z = 0 from the CDF value for z = 1.37:

p(0 ≤ z ≤ 1.37) = 0.9147 - 0.5000 = 0.4147

Therefore, the value of p(0 ≤ z ≤ 1.37) is approximately 0.41 (rounded to 2 decimal places).

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Answer: the real answer for this will be p=3/2 and s=5

Step-by-step explanation: here

2p=3

2p/2=3b/2 divide both sides by 2

P=3/2

3/2 for p in s=5

S=5

S=5

Answer P=3/2 and s= 5

Got it

Hey there!

“Evaluate 2ps for p=3 and s=5”

• Side note: If p = 3 then SUBSTITUTE where “p” is at in the equation; if s = 5 then SUBSTITUTE where “s” is at in the equation!

• New equation: 2(3)(5)

2(3)(5)

2(3) = 6

6(5) = 30

Answer: A. 30 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Part A:What is the probability of getting a red jellybean on the first draw?

Given information: Red jellybeans = 12  Yellow jellybeans = 8  Green jellybeans = 4   Total jellybeans = 24                           The probability of getting a red jellybean on the first draw is:

Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5

Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%

Part B: Let's say you did get a red jellybean on the first draw.

What is the probability that you will then get a green on the second draw?

Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%

Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?

Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:

Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174

Thus, the answer would be the same as Part B.

Part D: What is the conditional probability of the dependent event "red then green?"

Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2

Probability of the second jellybean being green given that the first jellybean is red is 4/23

Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23  Decimal: P(1st Red and 2nd Green )=2/23  Percent: P(1st Red and 2nd Green )=8.70%

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Antonio started watching the movie at 5:17pm

If the movie ended at 7:00pm, and we know that the movie was 1 hour and 43 minutes long, we can then subtract 1 hour and 43 minutes from 7:00pm to find out what time Antonio started the movie.

To subtract 1 hour and 43 minutes from 7:00pm:

= 19:00 - 1:43

= 17:17

As a 24-hour mode, when we convert 17:17 to 12 hours, this gives us 5:17pm.

Note: The movie ended at 7:00pm

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According to the reaction, the value of A is 143.

The given nuclear fission reaction is as follows:

235/92 U + 1/0 n → 90/36 Kr + A/56 Ba + 3 1/0 n

In this reaction, 235/92 U (Uranium-235) and 1/0 n (neutron) are the reactants, and 90/36 Kr (Krypton-90), A/56 Ba (Barium) and 3 1/0 n (neutrons) are the products.

The mass number (A) is the sum of the number of protons and neutrons in the nucleus of an atom. As the mass is conserved during any chemical or nuclear reaction, the mass number of the reactants must be equal to the mass number of the products.

Therefore, we can write the mass number balance equation for the given nuclear fission reaction as:

235 + 1 = 90 + A + (3 × 1)

Simplifying the above equation, we get:

236 = 90 + A + 3

A = 236 - 90 - 3

A = 143

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If a map f:X→Y between connected CW complexes induces isomorphisms f∗:πn(X)→πn(Y) for all n, then f is a homotopy equivalence. In case f

is the inclusion of a subcomplex X↪Y , the conclusion is stronger: X is a deformation retract of Y.

A fairly generic notion called isomorphism can be found in many branches of mathematics. The word is derived from the Greek words morphosis, which means "to form" or "to shape," and iso, which means "equal." An isomorphism is a bijective morphism in formal terms. An isomorphism, as used informally, is a map that maintains sets and relationships between elements.

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Answer:

The equation of the line passes through (3, -2) and parallel to the given line:

The equation of the line passes through (3, -2) and perpendicular to the given line:

Step-by-step explanation:

Given the points on the graph line

(2, -1)

(1, -4)

Finding the slope between (2, -1) and (1, -4)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)\)

\(m=\frac{-4-\left(-1\right)}{1-2}\)

\(m=3\)

Equation of the line passes through (3, -2) and parallel to the given line.

We know that parallel lines have the same slope.

so the equation of the line parallel to the given line = 3

Thus, using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (3, -2)

\(y - (-2) = 3(x-3)\)

\(y+2 = 3x-9\)

\(y = 3x-9-2\)

\(y = 3x-11\)

Therefore, the equation of the line passes through (3, -2) and parallel to the given line:

\(y = 3x-11\)

The equation of the line passes through (3, -2) and perpendicular to the given line

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = 3

perpendicular slope = – 1/m = -1/3 = -1/3

Therefore, substituting the values of perpendicular slope = -1/3 and the point (3, -2) in the point-slope form of the line equation

\(y-\left(-2\right)=-\frac{1}{3}\left(x-3\right)\)

\(y+2=-\frac{1}{3}\left(x-3\right)\)

subtract 2 from both sides

\(y+2-2=-\frac{1}{3}\left(x-3\right)-2\)

\(y=-\frac{1}{3}x-1\)

Therefore, the equation of the line passes through (3, -2) and perpendicular to the given line:

\(y=-\frac{1}{3}x-1\)

Conclusion:

The equation of the line passes through (3, -2) and parallel to the given line:

The equation of the line passes through (3, -2) and perpendicular to the given line:

The monthly payment amount is $217.42 and the finance charge is $413.02.

The payment amount and finance charge can be found by using the formula below

Payment amount formula: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)

Finance charge formula: Finance charge = Total payment - Loan amount

Where P = Loan amount

R = Interest rate per period

N = Number of periods

Given that a loan is made for $4800 with an APR of 12% and payments made monthly for 24 months

Therefore,P = $4800R = 12% / 12 = 1% per month

N = 24

Using the Payment amount formula above: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)

PMT = ($4800 x 0.01 x (1 + 0.01)^24) / ((1 + 0.01)^24 - 1)

PMT = $217.42

Hence, the monthly payment amount is $217.42 (rounded to two decimal places).

Using the finance charge formula above: Finance charge = Total payment - Loan amount

Total payment = Payment amount x Number of periods

Total payment = $217.42 x 24 = $5213.02

Finance charge = $5213.02 - $4800

Finance charge = $413.02

Hence, the finance charge is $413.02 (rounded to two decimal places).

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The amount of water dispensed, y, as a function of the number of minutes, x for Marty's new energy-saving showerhead is y = 1.5x.

Here's the equation of the amount of water dispensed, y, as a function of the number of minutes, x for Marty's new energy-saving shower head:

y = 1.5x

In Marty's house, a standard showerhead dispenses 7 gallons of water per minute. But after Marty changed his showerhead to an energy-saving one, the new showerhead dispenses 1.5 gallons per minute.

Therefore, the function that describes the amount of water dispensed by the energy-saving showerhead is given by:

y = 1.5x where x represents the number of minutes for which the showerhead is used.

Thus, in 1 minute, the energy-saving showerhead will dispense 1.5 gallons of water and in 10 minutes, it will dispense

1.5 x 10 = 15 gallons of water.

Therefore, the amount of water dispensed by the showerhead depends directly on the number of minutes it is used. This relationship is linear since the amount of water dispensed per minute is constant.

In general, the function can be represented as:

y = kx where k is the rate of water flow per minute.

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Answer:

Step-by-step explanation:

90-degree rotation

Let me explain, you see point B? Yeah, okay. 90 degrees is a right angle, so you see how the replica blue B is on the line a right angle from it?

That's how you figure that out, if the point is on a line 90 degrees from it it's a 90-degree rotation

If you remain confused please don't hesitate to ask :))

the given equation has no solution.

Why it is and what does equation mean?

The given equation is -10z = -10z - 8.

Adding 10z to both sides, we get:

-10z + 10z = -10z + (-10z) - 8

Simplifying the left-hand side, we get:

0 = -8

This is a contradiction since 0 cannot be equal to -8. Therefore, the given equation has no solution.

In mathematics, an equation is a statement of equality between two mathematical expressions. The expressions on both sides of the equation are composed of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

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Answer:

-w+41

Step-by-step explanation:

5(w+4)-3(2w-7)

5w+20-6w+21

-w+41

Answer: 6√6

Multiply the numbers outside of the square root and then multiply the numbers inside of the square root.

:)

Step-by-step explanation:

(2√2)(3√3)

= 2×3 (√2×√3)

= 6√6

We can say with 90% confidence that the true standard deviation of the monthly cost of these leases falls between $279.49 and $1688.26.

To find the 90% confidence interval for the true standard deviation of the monthly cost of these leases, we need to use the chi-square distribution. First, we need to calculate the sample standard deviation of the monthly cost, which is $31.48. Then, we can use the formula:

CI = [(n-1)*s^2/chi2(a/2,n-1), (n-1)*s^2/chi2(1-a/2,n-1)]

where CI is the confidence interval, n is the sample size (which is 6 in this case), s is the sample standard deviation, chi2(a/2,n-1) is the chi-square value for the lower tail probability of a/2 with n-1 degrees of freedom, and chi2(1-a/2,n-1) is the chi-square value for the upper tail probability of 1-a/2 with n-1 degrees of freedom.

For a 90% confidence interval, a/2 = 0.05, so we need to find the chi-square values for the lower and upper tail probabilities of 0.05/2 = 0.025 and 1-0.025 = 0.975, respectively, with 5 degrees of freedom (n-1).

Using a chi-square table or calculator, we find that chi2(0.025,5) = 11.07 and chi2(0.975,5) = 0.83. Substituting these values into the formula, we get:

CI = [(6-1)*31.48^2/11.07, (6-1)*31.48^2/0.83] = [$279.49, $1688.26]

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Answer:

-3x+12 = -3(x-4)

-2(x+9) = −2x−18

Step-by-step explanation:

Answer:

4 and -9

Step-by-step explanation:

-3x+12=0

subtract 12 from both sides

-3x=-12

divide both sides by -3

x=4

-2(x+9)

distribute the -2 throughout

-2x-18=0

add 18 to both sides

-2x=18

divide both sides by -2

x= -9

Answer:

y+2=1/2(x+3)

Why?

Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3)

In order for a researcher to generalize about a population using data from a sample, it is best to employ the principles of statistical inference. Statistical inference allows researchers to draw conclusions about a larger population based on the characteristics and findings of a smaller sample.

By employing appropriate sampling techniques, ensuring sample representativeness, and utilizing statistical analysis, researchers can make valid inferences and generalize their findings to the larger population. When researchers aim to generalize about a population using data from a sample, they need to employ statistical inference techniques. Statistical inference involves using sample data to make conclusions or inferences about a larger population. It allows researchers to bridge the gap between the sample and the population by utilizing appropriate sampling techniques and statistical analysis. To begin with, researchers must use proper sampling methods to ensure that the sample is representative of the population of interest. Random sampling, where every individual in the population has an equal chance of being included in the sample, is often preferred. This helps minimize bias and increases the likelihood that the sample accurately represents the population's characteristics. Additionally, researchers need to employ statistical analysis techniques to draw valid conclusions. They can use descriptive statistics to summarize the characteristics of the sample and inferential statistics to make inferences about the population based on the sample data. Techniques such as hypothesis testing and confidence intervals allow researchers to quantify the uncertainty associated with their findings and assess the generalizability of their results. By combining appropriate sampling methods and statistical analysis techniques, researchers can make reliable generalizations about a population based on their sample data. It is crucial to acknowledge the limitations and assumptions of statistical inference and consider factors such as sample size, variability, and potential sources of bias to ensure the accuracy and validity of the generalizations made.

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Answer:

Step-by-step explanation:

28.3

Answer: I think it's 6m^2

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

80.05/8 friends

=10.00625

=$10

The correct answer is OD. Although the word "then" appears in the statement, it is not used as a logical connective. So the statement is not compound.

The statement "If Laura sells her quota, then Marie will be happy" is a single declarative sentence. It consists of a conditional clause ("If Laura sells her quota") and a consequent clause ("then Marie will be happy"). However, these two clauses are not independent statements that can stand alone. Instead, they are connected in a cause-and-effect relationship. The word "then" in this context is not functioning as a logical connective, but rather as an indicator of the consequent clause.

A compound statement is formed by combining two or more independent statements using logical connectives such as "and," "or," or "if...then." In the given statement, there is no logical connective joining two independent statements.

Therefore, the statement is not compound.

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Triangle AED and triangle BEC have equal areas. The length of AE can be represented as 14 - x (since AC = 14). AE is equal to 10.

To find the length of AE, we can use the fact that triangle AED and triangle BEC have equal areas. Since the areas of two triangles with the same height are proportional to their base lengths, we can set up the following proportion:

Area of triangle AED / Area of triangle BEC = AE / EC

Let's denote EC as x (the length of EC). Then, the length of AE can be represented as 14 - x (since AC = 14).

Now, let's look at the given information about the lengths of the sides of the quadrilateral:

AB = 9

CD = 12

AC = 14

We can use the given information to find the lengths of the other sides of the quadrilateral:

BC = AC - AB = 14 - 9 = 5

AD = AC - CD = 14 - 12 = 2

Next, we can calculate the areas of triangle AED and triangle BEC using the lengths of their sides:

Area of triangle AED = (1/2) * AD * AE

Area of triangle BEC = (1/2) * BC * EC

Since the areas of the two triangles are equal, we can set up the following equation:

(1/2) * AD * AE = (1/2) * BC * EC

Plugging in the values we know:

(1/2) * 2 * (14 - x) = (1/2) * 5 * x

Simplifying the equation:

14 - x = (5/2) * x

Multiplying both sides by 2 to clear the fraction:

28 - 2x = 5x

Adding 2x to both sides:

28 = 7x

Dividing both sides by 7:

x = 4

Therefore, the length of EC is 4.

Since AE = AC - EC, we can calculate AE:

AE = 14 - EC = 14 - 4 = 10

So, AE is equal to 10.

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The complete question is:<Convex quadrilateral ABCD has AB = 9 and CD = 12. Diagonals AC and BD intersect at E, AC = 14 and triangle AED and triangle BEC have equal areas. What is AE?>