Given the points (2,4),(-2,6),(1,3), and (0,3), categorize the domain and range.
Domain
Range
No Answers Chosen
ING
1
Possible answers:
2
3
All real numbers
-2
0
4
6
2
3
4

The probability of choosing a 5 and then a 6 is 1/49

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

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

Answer:

200 kilometers

Step-by-step explanation:

since the driver goes 50 kilometers at a constant rate for 4 hours, you multiply it by 4, and you get 200.

An easy way to multiply these numbers is to multiply the 4 and 5, which equals 20, then add the extra zero from the 50.

Answer: so the total of her percentage will be $28.21

Step-by-step explanation:you have to go like

120.54%

55.99

65.00

1,050,00

and you will find your answer.

An expert system differs from conventional systems in that it incorporates knowledge and expertise in a specific domain to make intelligent decisions or provide recommendations.

Conventional systems are typically rule-based or algorithmic, where predefined rules or instructions are followed to process data or perform tasks. These systems are designed to handle specific functions but lack the ability to mimic human expertise or reasoning.

On the other hand, an expert system utilizes artificial intelligence (AI) techniques, such as knowledge representation, inference engines, and learning algorithms, to capture and apply human expertise in a particular domain. It relies on a knowledge base, which contains expert knowledge and rules, and an inference engine, which uses logical reasoning to draw conclusions or provide recommendations based on the given input.

The key distinction of an expert system lies in its ability to handle complex, knowledge-intensive tasks that would typically require human expertise. By emulating the decision-making processes of human experts, expert systems can analyze complex data, diagnose problems, offer solutions, and provide expert-level advice.

Expert systems have applications in various fields, including medicine, finance, engineering, and customer support. They enable organizations to leverage and preserve expert knowledge, enhance decision-making processes, and improve overall efficiency and accuracy.

In summary, expert systems differ from conventional systems by incorporating AI techniques to emulate human expertise, allowing them to handle complex tasks and provide intelligent recommendations. This makes expert systems particularly valuable in domains where expert knowledge is critical for decision-making and problem-solving.

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An expert system differs from conventional systems in terms of their knowledge base, reasoning and inference capabilities, adaptability, and domain-specificity.

An expert system is a computer program that mimics the decision-making ability of a human expert in a specific domain. It uses a knowledge base, which contains facts and rules, and an inference engine to provide intelligent solutions to complex problems. Expert systems are designed to handle complex and uncertain situations by using reasoning and inference techniques.

On the other hand, conventional systems are traditional computer programs that follow a predefined set of instructions to perform specific tasks. They do not possess the ability to learn or adapt like expert systems.

The main differences between expert systems and conventional systems are:

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48 plastic bandages should a small kit have

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that the ratio of fabric bandages to plastic bandages in each kit is 3 to 9

A small kit has 16 fabric bandages then we have to find the number of plastic bags.

Let x be the number of plastic bags for 16 fabric bandages.

3/9=16/x

Apply cross multiplication

3x=16×9

3x=144

Divide both sides by 3

x=48.

Hence, 48 plastic bandages should a small kit have

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Answer:

its pretty complicated

Step-by-step explanation:

Answer:

m + (m+4) + (m-2) = 20 or 3m + 2 = 20

Step-by-step explanation:

Answer:

There are 24 girls.

Step-by-step explanation:

56 total students divided into 7 parts (4 parts boys and 3 parts girls) is 8.

8 times 3(ratio of girls) is equal to 24.

Answer:

I think 24 if i'm not wrong

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

60 minutes can be broken down into 4 quarters of time - 15 minutes

Step-by-step explanation:

An quarter of an hour is 15 mins. 60÷15 =4 so there are 4 quarters in an hour.

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

Standard deviation is defined as the square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

The table shows the number of goals made by two hockey players.

Player A:

2, 3, 1, 3, 2, 2, 1, 3, 6

Using  a statistics calculator, we have:

Mean = 2.56

S.D. = 1.51

Player B:

1, 4, 5, 1, 2, 4, 5, 5, 11

S.D. = 3.03

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

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The decibel values for −140 db, −3 db, 20 db, 42 db is 0.00000000000001, 0.501, 100 and 158.49.

Decibels (dB) is a unit of measurement used to express the ratio of two values in terms of power or amplitude. In other words, it is a logarithmic unit of measurement that compares the magnitude of two signals, with one serving as a reference. The decibel scale is logarithmic because the human perception of sound and signal strength is also logarithmic.

To convert decibels to numbers, we use the following formula:

Number = 10^(dB/10)

Calculating it for different values,

For -140dB, 10^(-140/10) = 10^(-14) = 0.00000000000001

For -3 dB, 10^(-3/10) = 0.501

For -20 dB, 10^(20/10) = 100

For -42dB, 10^(42/10) = 158.49

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a) The series (+1) + 22/ns is absolutely convergent, and

b)  The series (-1)n / ln(n) is also convergent.

(a) The given series is (+1) + 22/ns.

To determine if this series is absolutely convergent, conditionally convergent, or divergent, we need to examine the behavior of the absolute values of the terms. In this case, the series of absolute values is 1 + 22/ns.

When we take the limit as n approaches infinity, we can see that the term 22/ns approaches zero, and the term 1 remains constant. Therefore, the series of absolute values simplifies to 1, which is a convergent series.

Since the series of absolute values converges, the original series (+1) + 22/ns is absolutely convergent.

(b) The given series is (-1)n / ln(n), where n starts from 2.

Similarly, we need to analyze the behavior of the series of absolute values: |(-1)n / ln(n)|.

The absolute value of (-1)n is always 1, so we are left with |1 / ln(n)|. To determine the convergence or divergence of this series, we can use the limit comparison test.

Let's consider the series 1 / ln(n). Taking the limit as n approaches infinity, we have:

lim(n→∞) (1 / ln(n)) = 0.

Since the limit is zero, the series 1 / ln(n) converges. Now, we compare the original series |(-1)n / ln(n)| with 1 / ln(n).

Using the limit comparison test, we have:

lim(n→∞) (|(-1)n / ln(n)| / (1 / ln(n))) = lim(n→∞) |(-1)n| = 1.

Since the limit is a nonzero constant, the series |(-1)n / ln(n)| behaves in the same way as the series 1 / ln(n). Therefore, both series have the same convergence behavior.

Since the series 1 / ln(n) converges, the original series (-1)n / ln(n) is also convergent.

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Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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The answer is thus, "The volume of the parallelepiped with the given edges I - 3j + k, 2j - k, I + j - 3k is 18√51 cubic units.

To find the volume of the parallelepiped with the given edges, we need to use scalar triple product.The formula of scalar triple product is;[a, b, c]

= a.(b x c)Where a, b and c are the given vectors and x represents the cross product.So, the cross product of two vectors can be determined by calculating the determinant of the matrix formed by placing i, j and k as the first row and the two vectors as the second and third rows. Then applying the rule 'First term positive, second term negative, third term positive'.Thus, we have, I - 3j + k x 2j - k

= -5i + k - 6jI - 3j + k x I + j - 3k

= -2i - 4j - 4k2j - k x I + j - 3k

= -7i - k - jThe volume of the parallelepiped is given by: V

= |a.(b x c)|Where, a

= I - 3j + k, b

= 2j - k, c

= I + j - 3k|b x c|

= |(-7i - k - j)|

= √(7^2 + 1^2 + 1^2)

= √51Then, a.(b x c)

= (-5i + k - 6j).(-√51)

= 5√51 + 6√51 + (-k.(-7i - k - j))

= 11√51 + k.(7i + j - k) = 11√51 + (7i + j - k).k|a.(b x c)|

= |11√51 + (7i + j - k).k|As the magnitude of k lies between 0 and 1, the maximum value of k is 1. Therefore,|a.(b x c)|

= |11√51 + (7i + j - k)|

= 11√51 + 7 + 1

= 18√51 Therefore, the volume of the parallelepiped with the given edges I - 3j + k, 2j - k, I + j - 3k is 18√51 cubic units.The answer is thus, "The volume of the parallelepiped with the given edges I - 3j + k, 2j - k, I + j - 3k is 18√51 cubic units.

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Answer:

The answer is 7,878,684,378

LOL

Step-by-step explanation:

Answer:

in five hours you will travel 153.75 miles

Hello!

What does this problem want:

==> how far will the car have traveled in 5 hours

What we must find ==> how many miles does the car travel in an hour

  \(\text{Rate}=\frac{61.5 \text{ miles}}{2 \text{ hours}} =30.75\text{ miles per hour}\)

Therefore: the car will travel in 5 hours

   5 * 30.75 = 153.75 miles

Hope that helps!

When all the values in a data set are written in order from least to greatest, the value that is in the middle, with an equal number of values below it and equal number of values above it is called the median.

Also, the median is at the 50th percentile, hence why there are an equal number of values above and below it.

Hope this helps!

Answer:

\(\displaystyle 1 = \frac{cos∠A}{cos∠B}\)

Step-by-step explanation:

\(\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ\)

Since this is a 45°-45°-90° triangle, you will have two IDENTICAL legs and the hypotenuse is the value of the leg multiplied by the square root of 2:

\(\displaystyle x\sqrt{2} = HYPOTENUSE \\ x = LEGS \\ \\ 4,242640687 ≈ 3\sqrt{2} \\ \\ \frac{3}{4,242640687} ≈ cos∠B \\ \frac{3}{4,242640687} ≈ cos∠A \\ \\ \frac{\frac{3}{4,242640687}}{\frac{3}{4,242640687}} = 1\)

I am joyous to assist you anytime.

The value of expression cos A / cos B is,

⇒ cos A / cos B = 1

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle ABC is shown in figure.

Now., We know that;

cos A = Base / Hypotenuse

cos A = 3 / 4.24

And, cos B = 3 / 4.24

Thus, The value of expression cos A / cos B is,

⇒ cos A / cos B = (3/4.24) / (3/4.24)

⇒ cos A / cos B = 1

So, The value of expression cos A / cos B is,

⇒ cos A / cos B = 1

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According to above figure, we can conclude that :

Part A:

Since Juanita had at first $25

Since she earns $11 per hour

Then her total earning in x hours is

Since she needs at least $58 to buy new shoes

At least means greater than or equal, then the inequality should be

Part B:

Let us solve it by subtracting 25 from each side

Divide each side by 11

Then the answer is the 3rd choice

Step-by-step explanation:

the formular we're to use is the point slope formula

SLOPE = -3

and x1= -5 y1 = -6

HENCE

Y - Y1 = M (X- X1)

y-(-6) = -3( x--5)

y+ 6 = -3 (x+5 )

y+6 = -3x -15

y= -3x-15-6

y= -3x -21

Answer:

− 2 < x < 1

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

In ths case the answer is very simple .

We must analyze the options to find the solution.

All equations, except the last one, have a y-intercept term.

Therefore, the d equation would represent a linear proportional equation.

The answer is:

d) y = 2/5 x

Answer:(7,3)

Step-by-step explanation:

Answer:

8.1g, mg->g is divide by 1000 :)

0.0764 is the probability that the scores differ by 5 or more points in either direction

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

According to the information, the mean and standard deviation of "X" are:

μ(X) = 24

σ (X) = 2

We have to find the probability the scores differ by 5 or more points on either direction.

Consider X₁ and X₂ as the random variable, which showing the scores of Leon and Fred.

D = X₁ - X₂

According to the information the two scores are independent

The mean of μ(D) = 0

The standard deviation σ(D) = 2.828

Let's standardize D = -5

z = [x - μ(D)] /  σ(D)

z = - 1.77

Let's standardize D = 5

z = [x - μ(D)] /  σ(D)

z = 1.77

Using a table of typical normal probabilities as a guide:

= P (D ≤ -5) or P (D ≥ 5)

= P (z ≤ -1.77) + P (z ≥ 1.77)

= P (z ≥ 1.77) + P (z ≥ 1.77)

= 2P (z ≥ 1.77)
= 2(1 - P (z ≤ 1.77))

= 2 (1 - 0.9618)

= 0.0764

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If you are trying to find the cost of the basket ball, it is $8.15.

Step 1: Find 20% of 10.95- which is 2.19- and subtract 2.19 from 10.95-which is 8.76.

Step 2: Find 7% of 8.76-which is 0.6132- and subtract 0.6132 from 8.76-which is 8.1468

Step 3: Round to the nearest hundredth, which gives you 8.15.

Thus, $8.15 is your answer.

ANSWER :

∠D = y = 65 and ∠F = x = 45

Step-by-step explanation:

Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study.

The experimental design is the framework of any scientific experiment that outlines the different steps that will be used to conduct the research. In psychology, experiments typically involve comparing two or more groups of participants that have been assigned to different experimental conditions.Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study. If participants were allowed to choose their own group, there is a high likelihood of self-selection bias.

This is a type of bias that occurs when participants are allowed to choose their own groups. In most cases, the participants choose groups that they feel are more beneficial to them. This means that the results of the experiment may be biased towards the preferences of the participants. Random allocation of participants to different groups ensures that any differences between the groups are not due to differences in the participants' characteristics and are due to the independent variable.

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