Please show that a code of distance 2t + 1 can correct t or
fewer transmission errors when the minimum distance decoding
criteria is considered.

Answers

Answer 1

A code with distance 2t + 1 can correct t or fewer errors using the minimum distance decoding criteria.

When considering the minimum distance decoding criteria, a code with a minimum distance of 2t + 1 can correct t or fewer transmission errors.

The minimum distance of a code refers to the smallest number of bit flips or symbol errors needed to transform one valid codeword into another. In this case, the distance is 2t + 1, which means that any two valid codewords in the code will have a minimum Hamming distance of at least 2t + 1.

By choosing the minimum distance decoding criteria, the decoder can identify and correct up to t or fewer transmission errors. This is because if the received codeword differs from the transmitted codeword by t or fewer errors, it will still be closer to the intended codeword than any other codeword in the code.

Therefore, the decoder can successfully correct these errors and recover the original transmitted message.

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Related Questions

Please hurry come on

Please hurry come on

Answers

Answer:

g(1)

Step-by-step explanation:

The y intersect is 2

y=x+2

Answer:

The rate of g(x) is 1

Step-by-step explanation:

Rate could also mean the slope.

Get two points from the graph:

(0,2) and (2,4)

m = (Y_2 - Y_1)/(X_2-X_1)

m = (4-2)/(2-0)

m = 2/2

m = 1

rectangle has a perimeter of 64.8 millimeters and a base of 15.8 millimeters. What is the height?

Answers

The height of the rectangle is 16.6 millimeters.

To find the height of a rectangle, we can use the formula for the perimeter of a rectangle, which states that the perimeter is equal to twice the sum of its length and width. In this case, the base of the rectangle is given as 15.8 millimeters, and the perimeter is given as 64.8 millimeters.

Let's denote the height of the rectangle as h. Using the formula, we can express the given information as:

Perimeter = 2 × (Base + Height)

Substituting the given values, we have:

64.8 = 2 × (15.8 + h)

To solve for h, we first simplify the equation by multiplying the values inside the parentheses:

64.8 = 2 × 15.8 + 2 × h

Next, we simplify further:

64.8 = 31.6 + 2h

Subtracting 31.6 from both sides:

64.8 - 31.6 = 2h

33.2 = 2h

To isolate h, we divide both sides by 2:

33.2/2 = h

16.6 = h

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Which is a number that can be written as a fraction in the form ab?

Answers

Answer:

I believe it's a rational number.

Step-by-step explanation:

Seven pieces of cardstock sell for $3. Tanesha spends $57 on cardstock. How many pieces of cardstock does Tanesha buy?

Answers

Hey there! :)

Answer:

133 pieces.

Step-by-step explanation:

If 7 pieces of cardstock sell for $3, we can set up a proportion to determine the amount of pieces bought in pieces/ money spent:

\(\frac{7}{3} = \frac{x}{57}\)

Cross multiply:

7 · 57 = 3 · x

399 = 3x

Divide both sides by 3:

x = 133 pieces. This is the amount of pieces bought.

find a vector equation for the line segment from (4, −3, 5) to (6, 4, 4). (use the parameter t.)

Answers

Thus,  the vector equation for the line segment is: r(t) = (4, -3, 5) + t(2, 7, -1), 0 ≤ t ≤ 1

To find the vector equation for the line segment from (4, -3, 5) to (6, 4, 4), we need to first find the direction vector and the position vector.

The direction vector is the difference between the two points:
(6, 4, 4) - (4, -3, 5) = (2, 7, -1)

Next, we need to choose a point on the line to use as the position vector. We can use either of the two given points, but let's use (4, -3, 5) for this example.

So the position vector is:
(4, -3, 5)

Putting it all together, the vector equation for the line segment is:
r(t) = (4, -3, 5) + t(2, 7, -1), 0 ≤ t ≤ 1

This equation gives us all the points on the line segment between the two given points. When t = 0, we get the starting point (4, -3, 5), and when t = 1, we get the ending point (6, 4, 4).

Any value of t between 0 and 1 gives us a point somewhere on the line segment between the two points.

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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS

Answers

Answer:

a) red

b) red

c) the blue one is y=1/2x+1

Step-by-step explanation:

The picture below shows the graph of which inequality?

The picture below shows the graph of which inequality?

Answers

The picture below shows the graph of the  inequality of x² ≤ 4

Option C is correct.

What is  inequality in mathematics?

In mathematics, an inequality is described as a relation which makes a non-equal comparison between two numbers or other mathematical expressions which is used most often to compare two numbers on the number line by their size.

A graph of inequality denotes that the variables is the set of points that represents all solutions to the inequality.

A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

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Q={ a, b, c, d ,e } how many subsets can be obtain from the set Q

Answers

Two subsets can be obtained from the set Q and they are {b,c,d} and {a,e}

What are subsets?

Subsets are a part of one of the mathematical concepts called Sets. A set is a collection of objects or elements, grouped in the curly braces, such as {1,2,3,4,5,6}. If a set A is a collection of odd numbers and set B consists of {1,3,5,7}, then B is said to be a subset of A, denoted by B⊆A and A is the superset of B.

There are 26 alphabets in English, which contains vowels and consonants. Set Q is the first five alphabets {a,b,c,d,e}. We can have subset of consonant and vowels. i.e {b,c,d} and {a,e}. Thus two subsets are still part of set Q.

Therefore in set Q, two subsets can be formed {b,c,d} and {a,e}

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how do you change the subject in literal equations (in pre algebra) when it's a fraction and the letter that you want is on the bottom

Answers

The simplified version of the fraction is 6

What is a fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Let numerator = N and denominator = D.

According to the first statement,

N = (D x 5) + 4.

According to the second statement, N / 2 = 3 * D.

Let's multiply the second equation by –2 and add it the first equation:

–N = –6D

+[N = (D x 5) + 4]

= –6D + (D x 5) + 4 = 0

–1D + 4 = 0

D = 4

Thus, N = 24.

Therefore, N/D = 24/4 = 6.

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The given question is appropriate, Similar question is :

The numerator of a fraction is the sum of 4 and 5 times the denominator. If you divide the fraction by 2, the numerator is 3 times the denominator. Find the simplified version of the fraction.

Solve the system of equations using substitutions

Solve the system of equations using substitutions

Answers

Answer:

7. (4, -6)

8. (1, 4)

Step-by-step explanation:

7.

substitution is when we use one equation to express one variable by the other, and then use that in the second equation to solve for this other variable.

with that value we go back into the first equation and solve for the first variable.

x + y = -2

x = -2 - y

4x + 2y = 4

2x + y = 2

here we use now the x = 2 - y :

2(-2 - y) + y = 2

-4 - 2y + y = 2

-4 - y = 2

-6 - y = 0

y = -6

x = -2 - -6 = -2 + 6 = 4

8.

elimination is when we transform the equations, so that after adding both equations the sum contains only one variable, for which we can then solve. and then we use that in any of the original equations to solve for the other equation.

in our case we don't need any transformation. just by adding both equations we eliminate x and can solve for y.

-5x + 6y = 19

5x - 3y = -7

------------------------

0 3y = 12

y = 12/3 = 4

now we use that in any of the original equations. e.g. the second :

5x - 3×4 = -7

5x - 12 = -7

5x = 5

x = 1

Alison used a coordinate grid to show where the trees are in her backyard. She wants to put a birdbath exactly halfway between the two oak trees. What are the coordinates of this location? If each grid represents 1 foot, how far apart are the two oak trees? What is the perimeter of the triangle determined by the three trees? (Round your answer to the nearest foot)

Alison used a coordinate grid to show where the trees are in her backyard. She wants to put a birdbath

Answers

Answer:(5,4)

Step-by-step explanation:

Katherine bought 12 bananas for $2. What was the cost of the bananas in bananas
per dollar?

Answers

the cost of each banana in the dozen is 0.16¢

ONLY IF U ANSWER CORRECTLY U WILL GET BRAINLEIST! asap i reallly need this please help :(

ONLY IF U ANSWER CORRECTLY U WILL GET BRAINLEIST! asap i reallly need this please help :(

Answers

Answer: A.

Step-by-step explanation: Brainliest

pls answer this (i will give brainliest)

pls answer this (i will give brainliest)

Answers

The very bottom number will always be the atomic number

Answer:

8 is the atomic number

Step-by-step explanation:

Atomic number = 8  (meaning it has 8 protons in its nucleus)

Atomic weight = 15.999

O = symbol for oxygen

Which are the measures of the angles of a triangle?

23°, 109°, 65°
23°, 109°, 65°

48°, 87°, 75°
48°, 87°, 75°

52°, 101°, 45°
52°, 101°, 45°

45°, 64°, 71°

Answers

Answer:

45, 64, 71

Step-by-step explanation:

23 + 65= 88    109 +88 =197 no

48 + 87= 125   125 +75=200 no

101 + 52 = 153   153+45=198 no

45 + 64 = 109    109+71=180  yes

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each angle measure in degrees with its equivalent measure in radians.

Answers

Answer:

315° = 7π/4 rad80° = 4π/9 rad225° = 5π/4 rad324° = 9π/5 rad

Step-by-step explanation:

Find the attachment in the diagram below,

In order to get the right match, we will use the conversion

180° = πrad

- For angle 315°;

If 180° = πrad

315° = a

Cross multiplying

180a = 315π rad

a = 315π rad/180

a = 63π/36 rad

a = 7π/4 rad

Hence 315° = 7π/4 rad

- For angle 80°;

If 180° = πrad

80° = b

Cross multiplying

180b = 80π rad

b = 80π rad/180

b = 8π/18 rad

b = 4π/9 rad

Hence, 80° = 4π/9 rad

- For angle 225°;

If 180° = πrad

225° = c  

Cross multiplying

180c = 225π rad

c = 225π rad/180

c = 15π/12 rad

c = 5π/4 rad

Hence, 225° = 5π/4 rad

- For angle 324°;

If 180° = πrad

324° = d

Cross multiplying

180d = 8324π rad

d = 324π rad/180

d = 27π/15 rad

d = 9π/5 rad

Hence, 324° = 9π/5 rad

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each angle measure

Ignore this pls . Z z z z z z

Answers

why post if I'm supposed to ignore LOL

There are 90 girls and 60 boys in sixth grade at a middle school. Of these students, 9 girls and 3 boys write left-handed. What percentage of the sixth graders write left-handed.

10%
8%
5%
15%

Answers

Answer:

8% of the kids are left-handed. I used 12/150 to yield 0.08 which equals 8%

8 % of the kids !!!!!!!!

The geometry of the hybrid orbitals about a central atom with sp3d hybridization is:________

Answers

For sp3d hybridized central atoms, the only possible molecular geometry is trigonal bipyramidal.

Hybridisation (or hybridization) is a process of mathematically combining two or more atomic orbitals from the same atom to form an entirely new orbital different from its components and hence being called as a hybrid orbital.

In this case, if all the bonds are in place, the shape is also trigonal bipyramidal.

In chemistry, a trigonal bipyramid formation is a molecular geometry with one atom at the center and 5 more atoms at the corners of a triangular bipyramid.

Bond angle(s): 90°, 120°

Coordination number: 5

Point group: D3h

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the ratio of the amount of ink used in a table or chart that is necessary to convey information to the total amount of ink used in the table and chart is known as data-ink ratio. using additional ink that is not necessary to convey information has what effect on the data-ink ratio?

Answers

Using additional ink that is not necessary to convey information reduces the data-ink ratio, which should be maximized in order to effectively convey essential information in a table or chart.

Using additional ink that is not necessary to convey information reduces the data-ink ratio. The goal of maximizing the data-ink ratio is to ensure that the ink used in the visual representation of data is used only to convey the necessary information, without cluttering or distracting from the main message.

When unnecessary ink is used, it increases the amount of ink used overall, reducing the proportion of ink used for conveying information, and thus reducing the data-ink ratio. Therefore, to maximize the effectiveness of a table or chart, it's important to minimize the use of non-data ink and focus on the essential information.

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The box plot shows the times for sprinters on a track team. A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 41, 43, 49.5, 56, and 58 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds. Which of the following lists the range and IQR for this data?
The range is 13, and the IQR is 17.

The range is 13, and the IQR is 12.

The range is 17, and the IQR is 13.

The range is 17, and the IQR is 12.

Answers

The range for this data is 17, and the IQR is 13.

Calculating the range and IQR for this data?

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

The values of 41, 43, 49.5, 56, and 58 are all marked by the box plot.

These values are the five number summary of the box plot and it means that

Minimun = 41Q1 = 43Median = 49.5Q3 = 56Maximum = 58

So, we have

Range = 58 - 41

Range = 17

Also, we have

IQR = 56 - 43

IQR = 13

Hence, the range is 17, and the IQR is 13.

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will give brainliest plz help

will give brainliest plz help

Answers

4.6(if rounded) or 4.57 (if not rounded)
There are 32oz for the full week, all you have to do is divide that by 7 to find the average for each day :)

Someone help plz make sure it’s right plz will mark brainiest:) if it is!

Someone help plz make sure its right plz will mark brainiest:) if it is!

Answers

Answer: The second option is right

Given: AB=AC, AD=AE and DC=EB
Prove: <1 is equal to <2

PLEASE HELP! Thank you!

Given: AB=AC, AD=AE and DC=EBProve: &lt;1 is equal to &lt;2PLEASE HELP! Thank you!

Answers

The prove of ∠1 equal to ∠2 is shown below.

What is mean by Triangle?

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

Given that;

⇒ AB = AC, AD = AE and DC = EB

Now,

In ΔDBC and ΔEBC;

⇒ DC = EB   (Given)   ..(i)

Since,  AB = AC

So, the ΔABC is a isosceles triangle.

Hence, ∠DBC = ∠ ECB   ..(ii)

Here,  AB = AC and AD = AE

So, BD = EC   ..(iii)

Hence, By the condition (i), (ii) and (iii);

By SAS condition,

⇒ ΔDBC ≅ ΔEBC

Hence, We get;

⇒ ∠1 = ∠2

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Learning Goal:
To understand how observational evidence is used to test the nebular theory.
Introduction. Our modern theory of the formation of our solar system, called the nebular theory, successfully explains all the major features of our solar system. In this tutorial, you will consider how this theory should apply to other solar systems.
Part A
Sort the following hypothetical discoveries into the appropriate bins as follows:
Consistent with theory: The statement describes a discovery that we could reasonably expect to find if the nebular theory is correct.
Not consistent with theory: The statement describes a discovery that would force us to modify or discard the nebular theory.

Answers

According to the nebular theory, the solar system was formed by the gravitational collapse of a giant molecular cloud, which eventually formed the sun and the planets. This theory has been widely accepted by astronomers as it explains several observed phenomena in the solar system, such as the similar orbital planes and the direction of rotation of the planets, and the composition of asteroids and comets.

However, there are some observations that would be inconsistent with the nebular theory, and that would require modifications or a complete rejection of the theory. One example of such an observation is the discovery of a planet orbiting a star in a retrograde direction.

According to the nebular theory, all planets should orbit their star in the same direction as the star's rotation, as the planets formed from the same spinning disk of gas and dust as the star. Therefore, the discovery of a planet with a retrograde orbit would require a modification of the nebular theory.Another example of an observation that is not consistent with the nebular theory is the presence of hot Jupiters, which are giant gas planets orbiting very close to their star.

According to the nebular theory, gas giants should form far from their star, where the temperature is low enough for ice to condense and form planetesimals. These planetesimals would then grow by accretion to form gas giants. However, hot Jupiters cannot form in the inner regions of a protoplanetary disk, as the temperatures are too high for ice to condense. Therefore, the presence of hot Jupiters requires a modification of the nebular theory.There are also other theories that could explain the formation of the solar system, such as the disk instability theory and the capture theory. These theories have their own strengths and weaknesses, and they are still being studied and debated by astronomers.

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0.24 grams of magnesium is reacted with oxygen to form 0.40 grams of magnesium oxide. What mass of oxygen was used in this reaction?

Answers

Answer:

0.40g MgO - 0.24g Mg = 0.16g O

Step-by-step explanation:

Which of the following is equivalent to 4x-3y=15
A.4/3x-5
B.-4/3x+5
C.4/3x+15
D.3/4x-5

Answers

Answer:

the answer is A

Step-by-step explanation:

A = 4/3x-5

Answer:

Step-by-step explanation:

B

PLEASE HELP!!! will give brainliest to first answer :)
Drag a statement or reason to each box to complete this proof.

If \(\frac{x-2}{4} =2\), then x=10.

PLEASE HELP!!! will give brainliest to first answer :)Drag a statement or reason to each box to complete

Answers

Each box you fill in will be signified by the question number:

2) Multiplication of Equality:

When there is a equal sign (equation), what you do to one side, you must do to the other. In simplifying (\(\frac{x-2}{4}\)), you must first multiply 4 to both sides of the equation:

3) \(x - 2 = 8\)

\(4(\frac{x-2}{4}) = 4 * 2\\ x - 2 = 8\)

You are simply simplifying and so all you have to do is solve.

4) Addition Property of Equality:

You are adding 2 to both sides of the equation to isolate the variable, x.

\(x - 2 = 8\\x - 2 (+2) = 8 (+2)\\x = 8 + 2\)

5) x = 10 ; Simplifying:

You are simplifying by making the equation as short as possible. In this case, you will add 8 and 2 together:

\(x = 8 + 2\\x = 10\)

~

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A cylinder has a volume of 1200 meters cubed. What is the volume of a cone with the same radius and height? A. 400 m3 B. 900 m3 C. 1600 m3 D. 3600 m3

Answers

Hey there!

The volume of a cone is always 1/3 of that of a cylinder with the same except dimensions. You multiply the base by the height and then divide by three!

This means that if the cylinder has a volume of 1200 meters cubed, you simply divide by three, giving you 400 meters cubed !

The answer is A. 400 m³.

Have a wonderful day! :D

Answer:900

Step-by-step explanation:A cylinder has more volume considering because of the space but a cone simply has less

Given f(x) = -3x + 4, find f(-6).

Answers

Answer:

f(-6) = 22

Step-by-step explanation:

\(f(x)=-3x+4\\\\f(-6)=-3(-6)+4\\\\f(-6)=18+4\\\\\boxed{f(-6)=22}\)

Hope this helps.

F(-6)=22 is the answer
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