Answer:
2 1/3
Step-by-step explanation:
Write a regular expression for each of the following sets of binary strings. Use only the basic operations.
all binary strings except empty string
begins with 1 and ends with a 1
ends with 00
contains at least three 1s
Regular expressions for the given sets of binary strings: 1. All binary strings except empty string: `1+0*` 2. Begins with 1 and ends with 1: `1(0|1)*1` 3. Ends with 00: `(0|1)*(00)` 4. Contains at least three 1s: `(0*10*){3,}`
The regular expressions for the given sets of binary strings are as follows:
1. All binary strings except the empty string:
- Regular expression: `1+0*`
- Explanation: The regular expression `1+0*` matches any binary string that starts with one or more 1s, followed by zero or more 0s. This ensures that the empty string is not included.
2. Binary strings that begin with 1 and end with a 1:
- Regular expression: `1(0|1)*1`
- Explanation: The regular expression `1(0|1)*1` matches any binary string that starts with 1, followed by zero or more occurrences of either 0 or 1, and ends with 1.
3. Binary strings that end with 00:
- Regular expression: `(0|1)*(00)`
- Explanation: The regular expression `(0|1)*(00)` matches any binary string that contains zero or more occurrences of either 0 or 1, followed by 00 at the end.
4. Binary strings that contain at least three 1s:
- Regular expression: `(0*10*){3,}`
- Explanation: The regular expression `(0*10*){3,}` matches any binary string that contains three or more occurrences of the pattern 0*10*, where 0* matches zero or more 0s and 1 matches a single 1.
These regular expressions provide a clear and concise way to match the specified sets of binary strings using basic operations such as concatenation, alternation, and repetition. It's important to note that there may be other valid regular expressions that can also match the given sets of strings.
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After it rained, Albert and his friends saw some worms crawling across the sidewalk. This graph shows the length of the worms.
If you lined up all the worms end to end, how long would the line be?
Write your answer as a fraction, Mixed number, or whole number
Answer:
the worm line would be 4 inches long
cans someone please help me
Answer:
8 x 16 = 128 (area of rectangle)
Area of triangle:
16 - 12 = 4
6 x 4 = 24
24 divided by 2 = 12 (area of triangle)
Now lets add both areas:
128 + 12 = 140 ft2 is your answer.
adam is 4 times as old as Ben. Adam is also 12 years older then Ben. How old is Ben?
Answer:
maybe 48
Step-by-step explanation:
it says adam is 12 yrs older so mutiply that by 4
Answer:
3
Step-by-step explanation:
since it says Adam is 4 times older than Ben if you divide 12 by 4 you get 3
PLEASE HELP WILL GIVE BRAINLIEST! Solve |3x – 1| = |x+1| by graphing.
it wold be (0,1) and (2,3)
Answer:
Step-by-step explanation:
z = −b + m a, for a mmmmmmmmmmmmmmmmmmmmmmmmmmm
i'll really appreciate some help! thank you! ln(4x-9)=-5
Answer:
Step-by-step explanation:
The answer is x= 7/2
decimal form 3.5
A scientist is going to measure the amount of rain we get today. Look at the table and pick the best answer that describes it. X (hours) 2 6 00 y (rain) 02 6 9 12 a Nonlinear b Ос Nonproportional Proportional Rational Od INTL 2
A scientist is going to measure the amount of rain we get today. Look at the table and pick the best answer that describes it. X (hours) 2 6 00 y (rain) 02 6 9 12 a Nonlinear b Ос Nonproportional Proportional Rational Od INTL 2
The continuous random variable X has a probability density function (pdf) given by f(x) Şi- & for 0 < x < 2 lo otherwise Part(a) Find the median of X, correct to 2 decimal places. 0.59 Part(b) Find P(X >>). Give your answer as a decimal, correct to 2 decimal places. 0.56 Part(c) Two independent observations of X are taken. Find the probability correct to 2 decimal places that one is less than and the other is greater than 2. The order in which we take observations matters. 0.25 Part(d) Find Var(X), correct to 2 decimal places. 0.22 Part(e) Find E(X), correct to 2 decimal places. 0.75 Part(f) Find the value of q such that P(X
The median of X is 1; P(X > 2) = 0; P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0; Var(X) is approximately 0.33; E(X) is 1 and the value of q such that P(X < q) = 0.95 is 1.9.
(a) To find the median of X, we need to find the value of x for which the cumulative distribution function (CDF) equals 0.5.
Since the PDF is given as f(x) = 1/2 for 0 < x < 2 and 0 otherwise, the CDF is the integral of the PDF from 0 to x.
For 0 < x < 2, the CDF is:
F(x) = ∫(0 to x) f(t) dt = ∫(0 to x) 1/2 dt = (1/2) * (t) | (0 to x) = (1/2) * x
Setting (1/2) * x = 0.5 and solving for x:
(1/2) * x = 0.5; x = 1
Therefore, the median of X is 1.
(b) To find P(X > x), we need to calculate the integral of the PDF from x to infinity.
For x > 2, the PDF is 0, so P(X > x) = 0.
Therefore, P(X > 2) = 0.
(c) To find the probability that one observation is less than 2 and the other is greater than 2, we need to consider the possibilities of the first observation being less than 2 and the second observation being greater than 2, and vice versa.
P(one observation < 2 and the other > 2) = P(X < 2 and X > 2)
Since X follows a continuous uniform distribution from 0 to 2, the probability of X being exactly 2 is 0.
Therefore, P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0.
(d) The variance of X can be calculated using the formula:
Var(X) = E(X²) - [E(X)]²
To find E(X²), we need to calculate the integral of x² * f(x) from 0 to 2:
E(X²) = ∫(0 to 2) x² * (1/2) dx = (1/2) * (x³/3) | (0 to 2) = (1/2) * (8/3) = 4/3
To find E(X), we need to calculate the integral of x * f(x) from 0 to 2:
E(X) = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1
Now we can calculate the variance:
Var(X) = E(X²) - [E(X)]² = 4/3 - (1)² = 4/3 - 1 = 1/3 ≈ 0.33
Therefore, Var(X) is approximately 0.33.
(e) The expected value of X, E(X), is given by:
E(X) = ∫(0 to 2) x * f(x) dx = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1
Therefore, E(X) is 1.
(f) The value of q such that P(X < q) = 0.95 can be found by solving the following equation:
∫(0 to q) f(x) dx = 0.95
Since the PDF is constant at 1/2 for 0 < x < 2, we have:
(1/2) * (x) | (0 to q) = 0.95
(1/2) * q = 0.95
q = 0.95 * 2 = 1.9
Therefore, the value of q such that P(X < q) = 0.95 is 1.9.
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write -2.55 as a mixed number
Answer: 2.55 as a mixed number is 51/20
Let an = 5n/4n + 1 Determine whether {an) is convergent. convergent divergent
To determine whether the sequence {an} = 5n/4n + 1 is convergent or divergent, we can analyze its behavior as n approaches infinity.
First, let's rewrite the expression for the nth term of the sequence:
an = 5n / (4n + 1)
As n approaches infinity, the denominator 4n + 1 becomes dominant compared to the numerator 5n. Therefore, we can simplify the expression by neglecting the term 5n:
an ≈ n / (4n + 1)
Now, we can consider the limit of the sequence as n approaches infinity:
lim(n→∞) n / (4n + 1)
To evaluate this limit, we can divide both the numerator and denominator by n:
lim(n→∞) (1 / 4 + 1/n)
As n approaches infinity, the term 1/n approaches zero, leaving us with:
lim(n→∞) 1 / 4 = 1/4
Since the limit of the sequence is a finite value (1/4), we can conclude that the sequence {an} = 5n/4n + 1 is convergent.
In other words, as n gets larger and larger, the terms of the sequence {an} get closer and closer to the limit of 1/4. This indicates that the sequence approaches a fixed value and does not exhibit wild oscillations or diverge to infinity. Therefore, we can say that the sequence is convergent.
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Write an equation that can be solved using multiplication and has a solution of x=12
Answer:3x4=x
Step-by-step explanation:
an angle measures 2.8 radians and the initial ray of the angle points in the 3-o'clock direction. a circle with a radius 2.6 cm long is centered at the angle's vertex. the terminal point is how many radii to the right of the circle's center? radii the terminal point is how many cm to the right of the circle's center? cm
Therefore, the terminal point is 0.26 radii to the right of the circle's center and 0.67 cm to the right of the circle's center.
The angle in question has an initial ray pointing in the 3-o'clock direction and measures 2.8 radians. It is centered at the vertex of a circle with a radius of 2.6 cm. To calculate the number of radii and the number of cm the terminal point is to the right of the circle's center, we need to use the formula for arc length. Arc length is equal to the circumference of the circle multiplied by the central angle's measurement, divided by 2π.
So, the arc length of this angle is equal to 2.6 cm times 2.8 radians divided by 2π, or\(2.6 x 2.8 / 6.28 = 0.67 cm.\) The terminal point is 0.67 cm to the right of the circle's center, which is equal to \(0.67/2.6 = 0.26 radii.\)
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The volume of a prism is 1,224 cubic units. The width is 24 units and the length is 6 units. Which equation can help you to find the h, height of the prism? *
0 points
1224 = 144h
1224 = 30h
1224 = 72h
1224 = 15h
What is the best estimate for the sim of 3/8 and 1/12
The best estimate for the sum of the given fractions is; ¹¹/₂₄
What is the sum of both fractions?
We want to find the sum of the fractions 3/8 and 1/12.
This is expressed as;
³/₈ + ¹/₁₂
Factorizing 1/24 out, we will have;
¹/₂₄(9 + 2)
⇒ 11(¹/₂₄)
⇒ ¹¹/₂₄
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Find the square root of the following decimal numbers.
(b) 0.0016
The square root of the decimal number is √0.0016 = 0.04
How to find the square root of the decimal number?Here we can find the square root of the decimal number:
N = 0.0016
Notice that we can write this number as:
0.0016 = 16*10⁻⁴
Now we can take the square root of that, so we will get:
√(16*10⁻⁴)
We can distribute the square root to get:
√16*√10⁻⁴
These two are easy, we will get:
√16*√10⁻⁴ = 4*10⁻² = 0.04
That is the square root.
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\text{claim amounts, $x$, follow a gamma distribution with mean 6 and variance 12.} \text{calculate }\,\pr[x\le4]\text{.}
The probability that a claim amount is less than or equal to 4, given that it follows a gamma distribution with a mean of 6 and variance of 12, can be calculated using the cumulative distribution function (CDF) of the gamma distribution.
The gamma distribution is a continuous probability distribution with two parameters: shape parameter (k) and scale parameter (θ). In this case, we are given the mean and variance of the gamma distribution, which can be related to the shape and scale parameters as follows:
Mean (μ) = kθ
Variance (σ²) = kθ²
From the given information, we have μ = 6 and σ² = 12. To find the parameters k and θ, we solve the above equations simultaneously:
6 = kθ
12 = kθ²
Dividing the second equation by the first equation, we get:
2 = θ
Substituting this value back into the first equation, we find:
6 = k * 2
k = 3
So, the parameters for the gamma distribution are k = 3 and θ = 2.
Now, we can use the CDF of the gamma distribution to calculate the probability that a claim amount is less than or equal to 4:
P(x ≤ 4) = CDF(4; k, θ)
By evaluating this expression using the values of k and θ we obtained, we can find the desired probability.
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please help with problem 22
I am writing this because the app says the answer is to short :)))
Answer:
Step-by-step explanation:
-2x+3y
ANSWER FAST
Identify the exterior angles for the triangle shown. Sort
the angles as examples and non-examples of exterior
angles.
Answer:
exterior angles 1 and 3 I hope it will help you please follow me
Answer:
Examples- 1, 3
Non Examples- 2, 4
Answers from edge hope you all have a good have! :)
two vacationers walk out on a horizontal pier as shown in the diagram below. as they approach the end of the pier, their gravitational potential energy will
The gravitational potential energy of the vacationers will decrease as they approach the end of the pier.
How we get the gravitational potential energy?As the vacationers approach the end of the pier, their gravitational potential energy will decrease.
Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. It depends on the height of the object and the acceleration due to gravity.
In this scenario, as the vacationers walk out on the horizontal pier, their height above the ground remains constant. Since the height does not change, the gravitational potential energy also remains constant.
However, as they approach the end of the pier, their distance from the center of the Earth decreases. As a result, the gravitational potential energy decreases because it is directly proportional to the distance from the center of the Earth.
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Cycle city charges an initial price of $15 plus $0.75 per hour for bike rentals, which is represented by the expression 15 + 0.75h
The variable H represents The cost per hour? Or the number of hours?
The constant 15 represents the initial rental price or the number of hours?
The variable term 0.75h represents, the hourly rental amount or the number of hours?
Answer: kindly check explanation
Step-by-step explanation:
Given the following :
Charge for bike rental :
initial price = $15
Additional charge = $0.75 per hour
Expression to model the above :
15 + 0.75h
The variable H represents The cost per hour? Or the number of hours?
The variable h in the expression is the number of hours,
Since the additional charge rate is $0.75 per hour, $0.75 for each hour of bike rental
The constant 15 represents the initial rental price or the number of hours?
$15 represents the initial price being paid to rent a bike
The variable term 0.75h represents, the hourly rental amount or the number of hours?
Multiply the amount charged per hour by the number of hours gives us the total additional amount charged for the number of hours biked
The expression that can be used to solve the question will be H = 15 + 0.75h.
The expression to solve the question will be H = 15 + 0.75h.
where,
H = cost per hour.15 = the initial rental price 0.75h = the hourly rentalTherefore, let's say we want to find the cost for 4 hours. This will be:
H = 15 + 0.75h.
H = 15 + 0.75(4)
H = 15 + 3
H = 18
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please help im using all my points!!
What is the unit rate in price per ounce for choice A? Round your answer to the nearest hundreth. Choice A: 25 ounces of potato chips for $3.49 Choice B: 45 ounces of potato chips for $4.79 a $7.16 per ounce b $0.14 per ounce c $9.39 per ounce d $0.11 per ounce
The unit rate in price per ounce for Choice A is b $0.14 per ounce.
What is the unit rate?The unit rate is the ratio of the denominator.
It is a comparison of the numerator with the denominator.
The unit rate in price refers to the price per unit, which is the quotient of the division operation involving the total cost and the total units.
The unit rate shows the constant of proportionality, the slope, or the constant rate of change.
We can compute the unit rate by dividing the total value by the total units.
Choice A:25 ounces for $3.49
1 ounce = $0.14 ($3.49 ÷ 25)
Choice B:45 ounces for $4.79
1 ounce = $0.11 ($4.79 ÷ 45)
Thus, for Choice A, an ounce costs (unit rate) $0.14.
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(5, 10.5) and (25, 12.5)
10
10
0.1
0.1
-0.1
-0.1
-10
-10
Answer:free points
898
Step-by-step explanation:
PLEASE HELP ASAP!!! I'LL MARK BRAINLIEST TO RIGHT ANSWER!!!
The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)
Where, x represent the number of totts.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
My friend Raw has either no more than 5 toots and more than 10 toots.
Now, Let number of toots = x
Hence, We get;
⇒ x < 5
And, x > 10
Thus, The solution of the inequality is,
⇒ x ∈ (- ∞, 5) ∪ (10, ∞)
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Determine the value of x.Question options:A) 45° B) 50° C) 33.33°D) 56.67°
We have that the sum of interior angles of every quadrilateral equals 360. Then, in this case, we have the following equation:
\(110+90+x+10+2x=360\)solving for x, we get:
\(\begin{gathered} 110+90+x+10+2x=360 \\ \Rightarrow210+3x=360 \\ \Rightarrow3x=360-210=150 \\ \Rightarrow x=\frac{150}{3}=50 \\ x=50 \end{gathered}\)therefore, x = 50
which number has the greatest absolute value? 11,8, -14, -3.
Answer:
11
Step-by-step explanation:
It is a whole number and a postive integer
Answer: -14
Step-by-step explanation:
graph of 12x+6y=432 & 9x+3y=270
The line \(12x + 6y = 432\) is represented by the red line, and the line equation \(9x + 3y = 270\)is represented by the blue line. The point where these two lines intersect is (36,0).
What is equation?In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion \("2x + 3 = 9"\)states that the word "2x + 3" corresponds to the number "9". The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components. For example, in the equations" \(x^2 + 2x - 3 = 0\)," the variable x is lifted to the powercell. Lines are utilised in many areas of mathematics, include algebra, arithmetic, and geometry.
To plot these lines on a graph, we first need to solve for y in terms of x for each equation.
can plot these lines
\(12x+6y 4326y=-12x+432y = -2x+729x+3y=2703y=9x+270y=-3x+90\)
\(|100|_ | . | . 90|_ . | . | .80|_ . | . | .70|_ . | . | .60 |___________________________________________ 0 30 60 90 120 150 180 210 240 270 300\)
The line\(12x + 6y = 432\)is represented by the red line, and the line 9x + 3y = 270 is represented by the blue line. The point where these two lines intersect is (36,0).
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find the critical value za/2 that corresponds to a 80 confidence level
the critical value zα/2 that corresponds to an 80% confidence level is approximately 1.2816.
To find the critical value zα/2 that corresponds to an 80% confidence level, we need to determine the value of α/2.
A confidence level of 80% implies that the remaining area under the standard normal distribution curve is (1 - 0.80) = 0.20.
Since the standard normal distribution is symmetric, we divide this remaining area equally between the two tails, resulting in
α/2 = 0.10.
To find the corresponding critical value, we look up the z-score that corresponds to an area of 0.10 in the standard normal distribution table (also known as the z-table) or use a statistical calculator.
The critical value zα/2 for α/2 = 0.10 is approximately 1.2816.
Therefore, the critical value zα/2 that corresponds to an 80% confidence level is approximately 1.2816.
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One of the worlds largest crocodiles weighed 38,400 ounces how many tons did the crocodile weigh
Answer: 1.2 tons
Step-by-step explanation:
Answer: 1,777
Step-by-step explanation: