(a) All strings over {0,1} containing both 00 and 010 as substrings. (b) All strings that contain at least one of the strings ab, ba, or bbb.

Answers

Answer 1

(a) NFA for strings over {0,1} containing both 00 and 010 as substrings:

q0 --0--> q1 --0--> q2 --1--> q1 --0--> q3 --1--> q4

(b) NFA for strings containing at least one of the strings ab, ba, or bbb:

q0 --a--> q1 --b--> q2

|      |      |

+--b---+      +--a---+

  |               |

  +-------b-------+

(a) To construct an NFA that accepts all strings over {0,1} containing both "00" and "010" as substrings, we can use the following diagram:

     0        1

→ q0 ──► q1 ──► q2 ◄─

      ▲              │

      │   0       1  │

      └───► q3 ──► q4

In this NFA:

- q0 is the initial state.

- q2 is the accepting state.

- q1 and q3 are nondeterministic states.

The transitions are as follows:

- From q0, upon reading a 0, we move to q1.

- From q1, upon reading a 0, we move to q2.

- From q2, upon reading a 1, we move back to q1 (nondeterministic transition).

- From q1, upon reading a 0, we move to q3.

- From q3, upon reading a 1, we move to q4.

(b) To construct an NFA that accepts all strings containing at least one of the strings "ab", "ba", or "bbb", we can use the following diagram:

    a         b

→ q0 ──► q1 ──► q2 ◄─

      ▲              │

      │   a       b  │

      └───► q3 ──► q4

         ▲   ▲

         │   │

         a   b

         │   │

         └───┘

In this NFA:

- q0 is the initial state.

- q2 and q4 are accepting states.

- q1, q3, and q4 are nondeterministic states.

The transitions are as follows:

- From q0, upon reading an 'a', we move to q1.

- From q1, upon reading a 'b', we move to q2.

- From q1, upon reading an 'a', we move to q3.

- From q3, upon reading a 'b', we move to q4.

- From q0, upon reading a 'b', we move to q4.

- From q3, upon reading an 'a', we move back to q3 (nondeterministic transition).

- From q4, upon reading a 'b', we stay in q4 (nondeterministic transition).

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The complete question is:

Construct an NFA to accept each of the following languages. Make sure that your machine contains at least one nondeterministic state.

(a) Construct an NFA to accept all strings over {0, 1} containing both "00" and "010" as substrings.

(b) Construct an NFA to accept all strings that contain at least one of the strings "ab," "ba," or "bbb."


Related Questions

Two opponents Playing chess start out with 32 pieces on the chess board . Each person loses an equal amount of pieces over 15 minutes . By this time , only 20 piece remain . How many pieces did each person lose ?

Answers

Answer:

Each individual lost 6 pieces

Step-by-step explanation:

Initially, there were 32 pieces

After a while, 20 was left

The number of pieces lost will be 32-20 = 12 pieces

We are told that equal number of pieces were lost

So the number of pieces lost per individual will be:

12/2 = 6 pieces

Can I get some help please

Can I get some help please

Answers

Answer:

The three gallon container is the better buy. See below.

Step-by-step explanation:

8 pints

2 pints = 1 quart.

8 pints = 4 quarts.

4 quarts = 22.64   Divide by 4

1 quart = 5.66

3 gallons.

1 gallon = 4 quarts

3 gallons = 12 quarts.

The cost of 1 quart = 54.48/12 = 4.54

a flight of stairs in a 10 storey building has 15 steps. what is the total number of steps from the 1st floor to the 6th floor?

Answers

The total number of steps from the 1st floor to the 6th floor in a 10-story building with 15 steps in a flight of stairs is 60.

In a 10-story building, a flight of stairs has 15 steps.

What is the total number of steps from the 1st floor to the 6th floor.

The total number of steps from the 1st floor to the 6th floor in a 10-story building with 15 steps in a flight of stairs is as follows:

Take into consideration the following:

Given that a flight of stairs in a 10-story building has 15 steps, therefore a total number of steps on 10th floor would be;N1 = 10 * 15N1 = 150.

Similarly, the total number of steps on the 6th floor would be;

N2 = 6 * 15N2 = 90

Finally, the total number of steps from the 1st floor to the 6th floor will be;

Total number of steps = N1 – N2

Total number of steps = 150 – 90

Total number of steps = 60

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During the current year, merchandise is sold for $102,100 cash and $504,900 on account. The cost of the merchandise sold is $437,000. What is the amount of the grossprofit?

Answers

The gross profit is computed by adding the income and subtracting the costs. In this problem we have:

• incomes: $102,100 + $504,900,

,

• costs: $437,000.

Gross profit = $102,100 + $504,900 - $437,000 = $170,000

Answer: $170,000

Which measure of center is the sum of a data set divided by the number of values it contains?
Select the correct response:
O sample mean
O standard mean
O mode
O median

Answers

The measure of center that is the sum of a data set divided by the number of values it contains is called sample mean.

Sample mean is calculated by adding up all the values in the sample and then dividing the sum by the number of values in the sample. It is a measure of central tendency, which describes a typical value of the dataset. It is also known as the arithmetic mean or simply the mean.

The mean can be used to summarize data sets for comparison. It is useful in inferential statistics to estimate the population mean from the sample data. It is an important measure that is frequently used in many areas such as research, business, and finance.

In summary, the measure of center that is the sum of a data set divided by the number of values it contains is sample mean, and it is calculated by adding up all the values in the sample and then dividing the sum by the number of values in the sample.

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what is the value of x?

what is the value of x?

Answers

Answer:

El valor de X será el resultado obtenido luego de despejar todas las incógnitas de una ecuación. La X en una ecuación significa que es una incógnita y su valor es variable (depende de cada ecuación). Una ecuación es una igualdad entre dos expresiones matemáticas que contiene al menos una incógnita o variable (una X).

Step-by-step explanation:

la x no tiene valor puede valer lo que sea solo depende de cual sea la ecuacion

80% of math class passed the final exam. There was 30 students in her class. How many students passed the exam

Answers

Answer:

24.

Step-by-step explanation:

State the domain and range of the following function. {(2,3), (7,9), (4,-7), (6,2), (3,-5)} a. Domain: {-7, -5, 2, 3, 7}; range: {2, 4, 6, 9} b. Domain: {2, 2, 3, 4, 7}; range: {-7, -5, 2, 9, 3} c. Domain: {2, 3, 4, 6, 7}; range: {-7, -5, 2, 3, 9} d. Domain: {-7, -5, 2, 3, 9}; range: {2, 3, 4, 6, 7}.

Answers

The correct option is C as it consists exact domain and range that we need.

What is domain and range?

The domain of a function f(x) is that the set of all values that the function is outlined, and also the range of the operate is that the set of all values that f takes.

The set of all attainable values that qualify as inputs to a operate is thought because the domain of the operate, or it also can be outlined because the entire set of values attainable for freelance variables. .

Main body:

the given function :

{(2,3), (7,9), (4,-7), (6,2), (3,-5)}

domain = (2,7,4,6,3)

range = (3,9,-7,2,-5)

Hence the correct option is C.

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Suppose that earthquakes occur in a certain region of California, in accordance with a Poisson process, at a rate of seven per year. What is the probability of no earthquakes in one year? What is the probability that in exactly three of the next eight years no earthquakes will occur?

Answers

The probability of no earthquakes occurring in one year is approximately 0.000911881965. The probability that exactly three out of the next eight years will have no earthquakes , we can apply the binomial distribution.

The probability of no earthquakes occurring in one year in the given region of California, which follows a Poisson process with a rate of seven earthquakes per year, can be calculated using the Poisson distribution formula. The Poisson distribution describes the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence. In this case, the average rate is seven earthquakes per year. To calculate the probability of zero earthquakes in one year, we can use the formula:

P(X = 0) = e^(-λ) * (λ^0) / 0!

where λ is the average rate of occurrence. Substituting λ = 7 into the formula, we get:

\(P(X = 0) = e^{(-7)} (7^0) / 0!\)

The exponential term \(e^{(-7)\)evaluates to approximately 0.000911881965, and 0! is equal to 1. Therefore, the probability of no earthquakes occurring in one year is approximately 0.000911881965.

To find the probability that exactly three out of the next eight years will have no earthquakes, we can apply the binomial distribution. The binomial distribution describes the probability of a certain number of successes (no earthquakes) in a fixed number of independent trials (eight years) with a constant probability of success (the probability of no earthquakes in one year). In this case, the probability of no earthquakes in one year is the value we calculated earlier: approximately 0.000911881965. The formula for the binomial distribution is:

\(P(X = k) = C(n, k) p^k (1 - p)^{(n - k)\)

where P(X = k) is the probability of exactly k successes, C(n, k) is the number of combinations of n trials taken k at a time, p is the probability of success, and n is the total number of trials. Substituting k = 3, n = 8, and p = 0.000911881965 into the formula, we can calculate the probability.

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Find the surface area of the cylinder. Round your answer to the nearest tenth.

Find the surface area of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

87.9\(m^2\)

Step-by-step explanation:

Surface area of a cylinder: 2*π*r*h + 2*π*\(r^2\)

π = 3.14

r = 2mm

h = 5mm

A = 2*π*r*h + 2*π*\(r^2\)

2*3.14*2*5 + 2*3.14*\(2^2\)(4)

62.8 + 25.12

87.92\(m^2\) rounded to the nearest tenth is 87.9\(m^2\)

Hope this helps!

equivalent to 6+12x?

Answers

Answer:

Step-by-step explanation:

6 + 12x

6 ( 1 + 2x )

2+ (-3)^2 - (-1)

please explain! :3

Answers

Answer:

12

Step-by-step explanation:

Hello!

First of all you have to understand the order of operations.

PEMDAS

Parenthesis, Exponent, Multiplication/Divison, Addition, Subtraction.

From this you can see that we first have to deal with the exponent, then multiplication, then the addition.

So we get 2+9-(-1)

The 9 is from -3^2

2+9+1

11+1

12.

Hope this helps!

The area of a rectangular yard is 5,063 square feet and its length is 61 feet. What is its width? Explain or show your reasoning.

Answers

Area=length*width
Width=area/length
Width=5063/61
Width= 83 feet

What is ""statistical conclusion validity""? what was the main threat to statistical conclusion validity discussed in class?

Answers

Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.

The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.

Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.

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x + 2y < -2
How do I graph this

Answers

Answer:

Put

\(x < - 2 - 2y\)

Then put some of value to y and get x then we can graph it

x + 2y &lt; -2How do I graph this

MULTIPLE CHOICE !! HELP

MULTIPLE CHOICE !! HELP

Answers

Answer:

Its D

Step-by-step explanation:

MULTIPLE CHOICE !! HELP

Ey, Lemme drive the bus

Answers

Bet. Here’s the keys...

can i get some help? :') I dont know what im doing

can i get some help? :') I dont know what im doing

Answers

The chart I've attached is very helpful for these types of problems!

A 270 degree rotation clockwise is (-y, x).

X = 3

Y = -2

V' = (2, 3)

Hope this helps! :)

can i get some help? :') I dont know what im doing

Evaluate the integral. (Use C for the constant of integration.)
Integral (x − 7)sin(πx) dx

Answers

The integral of (x-7)sin(πx) dx is -(x-7)(1/π)cos(πx) + (1/π)sin(πx) + C.

To evaluate the integral, we can use integration by parts:

Let u = x - 7 and dv = sin(πx) dx
Then du = dx and v = -(1/π)cos(πx)

Using the integration by parts formula, we get:

∫(x − 7)sin(πx) dx = -[(x-7)(1/π)cos(πx)] - ∫-1/π × cos(πx) dx + C

Simplifying, we get:

∫(x − 7)sin(πx) dx = -(x-7)(1/π)cos(πx) + (1/π)sin(πx) + C

Therefore, the integral of (x-7)sin(πx) dx is -(x-7)(1/π)cos(πx) + (1/π)sin(πx) + C.

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please help thanks

___________________________________

please help thanks___________________________________

Answers

Answer:

c that is the answer because I took the quiz and it was right hope this helped if I'm wrong sorry

5!, called 5 _______ is the product of all positive integers from _______ down through _______. by definition, 0!_______.

Answers

Answer:

120

Step-by-step explanation:

5!, called 5 factorial is the product of all positive intergers from 5 down though 1. by definition, 0! is 0.

Factorials are basically the number times itself-1 the 2 the 3 until it times it by itself-(itself-1). n!=n*(n-1)*n(n-2).....*n-(n-1).

For example 2!=2*1=2 and 6!=6*5*4*3*2*1=720

keep in mind that I am not an expert so the blanks I filled in might be wrong and the explanation might have errors

5!, called "5 factorial," is the product of all positive integers from 5 down through 1. By definition, 0! is equal to 1.

Factorial is a mathematical operation denoted by an exclamation mark (!). It represents the product of all positive integers from a given number down to 1. In the case of 5!, it is calculated as 5 × 4 × 3 × 2 × 1, resulting in the value of 120.

The exclamation mark notation allows us to represent the factorial of a number concisely. For example, 5! represents the factorial of 5. It is important to note that 0! is defined to be equal to 1. This is a special case in factorial calculations. While it may seem counterintuitive, it is defined this way to maintain consistency and enable certain mathematical calculations and formulas.

Therefore, 5! is the product of all positive integers from 5 down through 1, equaling 120, and 0! is defined to be 1.

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Consider two firms, both "technology-driven." One is newer and smaller but growing rapidly (a biotech company for example) and the other is older, larger, and more established (an integrated pharmaceutical company for example.) Do you expect their capital budgeting processes to be different? In what ways? What similarities do you expect to see?

Answers

The capital budgeting processes of a newer, smaller, and rapidly growing technology-driven firm, such as a biotech company, and an older, larger, and more established technology-driven firm, such as an integrated pharmaceutical company, are likely to have some differences and similarities.

Differences in the capital budgeting processes may include:
1. Risk assessment: The newer, smaller firm may face higher risks due to its limited track record and smaller scale. Therefore, their capital budgeting process may involve more rigorous risk assessment, such as conducting detailed market analysis and assessing the feasibility of the projects. The established firm, on the other hand, may have a more established reputation and financial stability, which could result in a relatively lower level of risk assessment.
2. Flexibility: The newer firm may need to be more flexible in its capital budgeting process to adapt to the rapidly changing market conditions and technology advancements. They may prioritize short-term returns and invest in projects that can generate revenue quickly. The older firm, being more established, may have a longer-term perspective and may be willing to invest in projects with longer payback periods or higher risk levels.
3. Resource availability: The older, larger firm may have access to more resources, such as a larger pool of funds, established partnerships, and a wider range of financing options. This may enable them to undertake larger-scale projects or acquire other companies. The smaller firm may have limited resources and may need to rely more on external financing or strategic partnerships.

Despite these differences, there are also some similarities in the capital budgeting processes of both firms:
1. Evaluation of investment opportunities: Both firms would need to evaluate the potential returns and risks associated with investment opportunities. This evaluation may involve analyzing cash flows, discounting future cash flows to determine their present value, and comparing different investment options using metrics like Net Present Value (NPV) or Internal Rate of Return (IRR).
2. Cost of capital: Both firms would consider the cost of capital, which is the rate of return required by investors to fund the investments. They would evaluate projects based on whether the expected returns are higher than the cost of capital, ensuring that the projects generate value for the shareholders.
3. Decision-making process: Both firms would follow a decision-making process involving various stakeholders, such as management, finance departments, and possibly board members or external advisors. They would consider factors like strategic alignment, competitive advantages, and alignment with the firm's long-term goals.

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U7L2 Cool Down
The measure of the arc from B to A not passing through C is 26 degrees.

1. What is the measure of angle BOA ?
2. What is the measure of angle BDA?
3. What is the measure of angle BCA ?
degrees
degrees
degrees

Answers

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

What is the Inscribed Angle Theorems?

Based on the inscribed angle theorem, the following relationships are established:

Inscribed angle = 2(measure of intersected arc)Central angle = measure of intersected arc

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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Ben believe the orioles will win only 40% of their games this year if they play 160 games how many games does Ben predict they will win (use equivalent ratios)

Answers

The number of games Ben predict Orioles will win this year is 64 games

How to find percentage?

Percentage of games Ben believe the orioles will win = 40%Number of games Orioles played = 160

Number of games Ben predict they will win = 40% of 160

= 40/100 × 160

= 0.4 × 160

= 64

Therefore, the total number of games Ben predict they will win is 64 games

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Mrs. White graded 85% of her class papers. If there are 60 papers in all, how
many has she graded?

Answers

Answer:

MRS. White graded 51 papers.

Step-by-step explanation:

85/100= 0.85

0.85 x 60 = 51

She has graded 51 papers!

A monkey is swinging from a tree. On the first swing, she passes through an arc of 20m. With each swing, she passes through an arc 4/5 of the previous swing. What is the total distance the monkey has traveled when she completes her 10th swing?

Answers

The total distance that the monkey has traveled when she completes her 10th swing is of:

89.26 m.

How to obtain the total distance?

With each swing, she passes through an arc 4/5 of the previous swing, hence the distance is modeled by a geometric sequence with common ratio of q = 4/5 = 0.8.

On the first swing, she passes through an arc of 20m, hence the first term of the geometric sequence is of 20.

The sum of the first n terms of a geometric sequence is given by the equation presented as follows:

\(S_n = a_1\frac{(r^n - 1)}{r - 1}\)

The parameters for this problem are given as follows:

\(n = 10, a_1 = 20, r = 0.8\)

Hence the total distance the monkey has traveled when she completes her 10th swing is calculated as follows:

Distance = 20 x (0.8^10 - 1)/(0.8 - 1) = 89.26 m.

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Answer:

89

Step-by-step explanation:

khan

Help me :) I need to find the value of x and find the m

Help me :) I need to find the value of x and find the m

Answers

x=9
DBC= 54°


The given angle is 90°, so we can add the other two given equations to equal 90.

7x-9+4x=90
1) Combine like terms
11x-9=90
2) Add 9 to both sides
11x=99
3) Divide 11 on both sides
x=9

Now to find the angle:
7x-9
1) Plug 9 in for x (which is what we just solved for)
7(9)-9
2) multiply
63-9
3) subtract
54

m= 54°

An oatmeal cookie calls for 1/2 cup of butter to make 6 dozen cookies. Hilda needs to make 15 dozen cookies for the bake sale. How many cups of butter will she need

Answers

1) Given that an oatmeal cookie has these proportions, let's set a pair of ratios to get that:

\(undefined\)

Which number line model represents the expression -4+7.5?
Choose 1 answer:

Which number line model represents the expression -4+7.5?Choose 1 answer:

Answers

Answer:

The answer is number line C

Answer: B

I hope this helps.

The perimeter of a rectangular lawn i 50 meter. It' 16 meter long how wide i it?

Answers

The width of the rectangle is 9 meter.

Now, According to the question:

The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.

Now, Solving the problem:

Perimeter of rectangle is 50 meter sq.

Length of the rectangle(L) is 16 meter.

We have to find the width (W) of the rectangle.

We know that,

Perimeter of rectangle is = 2 (L + W)

50 = 2(16 + W)

50 = 32 + 2W

2W = 50 - 32

2W = 18

W = 18/2

W = 9

Hence, The width of the rectangle is 9 meter.

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