1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lina2011 [118]
3 years ago
10

We defined the operation of concatenation for sets of strings on p. 10, AB = { XY | X ∈ A and y ∈ B}Are the regular sets closed

under concatenation? That is, if A and B are regular sets, is AB guaranteed to be a regular set? Prove or show a counterexample.
Mathematics
1 answer:
lakkis [162]3 years ago
3 0

Answer and Explanation:

Solution: The operation of concatenation for a set of string on p. and the set is

     AB = {XY | X ∈ A and y ∈ B}.

We need to satisfy all these following properties to find out the standard set is closed under concatenation.

1- Union of two standard sets also belongs to the classic collection. For example, A and B are regular. AUB also belongs to a regular group.

2- Compliment of two standards set A and B are A’ and B’ also belonging to the standard set.

3- Intersection of two standards set A and B is A∩B is also a regular set member.

4- The difference between two regular sets is also standard. For example, the difference between A and B is A-B is also a standard set.

The closure of the regular set is also standard, and the concatenation of traditional sets is regular.

You might be interested in
What numbers are multiples<br> of 9 and factors of 36?
Serga [27]

Answer:

9,18, and 36

Step-by-step explanation:

9*4=36 and 9*1=9

18*2=36 and 9*2=18

36*1=36 and 9*4=36

5 0
2 years ago
Read 2 more answers
HELPPPP FIND THE AREA
GuDViN [60]

you can just split the figure in 2 separate figures and them add the areas:

area rec. 1:

3m×3m= 9m²

area rec. 2:

3m× (2m+3m)

= 3m×5m

=15m²

total area:

9m²+15m²= 24m²

5 0
2 years ago
Read 2 more answers
a banana contains 105 calories.last week,brendan and lea ate a total of 14 bananas.how many calories does this represent?
Crank
Well if they ate a total of 14 bananas and each banana is 105 calories, that means that you have to multiply 105 calories by 14 bananas. The answer is 1470 calories.
8 0
2 years ago
Read 2 more answers
PLEASE HELP WITH GEOMETRY WILL GIVE BRAINLIEST
sammy [17]

Answer:

Option D

Step-by-step explanation:

In the first three options we can evaluate the values of x with the help of Sine Rule for all the triangles

The Rule says

\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}

Where a , b and c are the sides opposite to the angles A, B and C of any ΔABC.

Hence , in order to determine unknown values of sides or angles , we need any 3 values from all 3 sides and 3 angles in a triangle. First Three options give us three values but the last option gives only 2.

Example

in first option we can apply Sine Rule as

\frac{\sin 84}{x}=\frac{\sin 63}{3}

\frac{0.994}{x}=\frac{0.891}{3}

x=\frac{0.991 \times 3}{0.891}

x=\frac{2.973}{0.891}

x=3.336

8 0
3 years ago
1. A report from the Secretary of Health and Human Services stated that 70% of single-vehicle traffic fatalities that occur at n
Nuetrik [128]

Using the binomial distribution, it is found that there is a 0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

For each fatality, there are only two possible outcomes, either it involved an intoxicated driver, or it did not. The probability of a fatality involving an intoxicated driver is independent of any other fatality, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 70% of fatalities involve an intoxicated driver, hence p = 0.7.
  • A sample of 15 fatalities is taken, hence n = 15.

The probability is:

P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

Hence

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 10) = C_{15,10}.(0.7)^{10}.(0.3)^{5} = 0.2061

P(X = 11) = C_{15,11}.(0.7)^{11}.(0.3)^{4} = 0.2186

P(X = 12) = C_{15,12}.(0.7)^{12}.(0.3)^{3} = 0.1700

P(X = 13) = C_{15,13}.(0.7)^{13}.(0.3)^{2} = 0.0916

P(X = 14) = C_{15,14}.(0.7)^{14}.(0.3)^{1} = 0.0305

P(X = 15) = C_{15,15}.(0.7)^{15}.(0.3)^{0} = 0.0047

Then:

P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.2061 + 0.2186 + 0.1700 + 0.0916 + 0.0305 + 0.0047 = 0.7215

0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

A similar problem is given at brainly.com/question/24863377

5 0
2 years ago
Other questions:
  • In the diagram, bisects ABC. Find mABD and mDBC
    10·1 answer
  • In a basketball game, the two teams scored a total of 210 points. The home team won by 20 points. How many points did the home t
    15·2 answers
  • Given the following triangle, if b = 9 and B = 15°, find a.
    12·1 answer
  • If 2 × 2 + 2 + 2 = 25, what is the value of ?
    6·1 answer
  • Which is equivalent to 1/4x <br><br> A.1/8x+1/8x<br> B.1/8x+1/8<br> C.1/8+1/8<br> D.1/2x+1/2x
    6·1 answer
  • Based on data in the two way table which statement is true
    12·2 answers
  • A community center is expanding the size
    15·1 answer
  • The aggregate annual rainfall at a given location is modeled as a random variable, resulting in a sequence of random variables {
    14·1 answer
  • Jamal and Brianna each bought 3 oranges. They sliced each orange into 6 pieces. How many oranges slices did Jamal Brianna have a
    6·1 answer
  • You finish
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!