The (m = 4, n = 7) Hamming code is described by the following matrices: n = (i) Generator matrix 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1101001 (ii) Parity check matrix 0 0 0 1 1 1 1 0110011 1 0 1 0 1 0 1 Assuming that no more than one error occurs during transmission, what was the transmitted codeword vector when (a) (5%) 0100110 is received? (b) (5%) 0001111 is received?

Answer:

c) The car dealer's business is expanding rapidly.

Step-by-step explanation:

You can tell because they're selling more and more every month.

Answer:

10???

Step-by-step explanation:

3(2)+4

6+4

10

Answer:

25 weeks

Step-by-step explanation:

step 1. find y which is what you are trying to find which is how long it will take for drake to make $1200

step 2.- subtract 450 from each side

1200=30x+450

-450           -450

750=30x

step 3.- divide by 30 on both sides

750=30x

30    30

x=25

i dont know if this helps but i am still learning how to explain on here. :)

Answer:

it will take him 25 weeks

Step-by-step explanation:

because 1,200 - 450= 750, and 750 divided by 30 is 25, therefore it will take him 25 weeks.

0.3814 is the probability that the sample contains two white balls and two red ones .

What is probability in math?

Total number of balls = 8 + 12 = 20

Total number of elementary cases

           = ( 20 4 )

Total number of favourable cases

           = ( 8 2 ) * ( 12 2 )

Required probability

   = ( 8 2 )  *  ( 12 2 )/( 20  4 )

 = 0.3814

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Answer:

State the null and alternate hypothesis which shows a probability value of 0.5 and greater than 0.5 on the one-tailed test to the right respectively. The sample proportion which gives a value of 0.5050. The standard error can then be calculated which gives a value of 0.01925. The Z statistic is then calculated as 0.2598. When compared to a P value of 0.3975, it can be concluded that the null hypothesis is not rejected given the p-value is greater than 0.5.

Therefore, given the not so significant values, there is no sufficient evidence that most adults will not erase their personal information online.

Step-by-step explanation:

With a 0.5 P value as null hypothesis and a an alternative hypothesis greater that 0.5 on a one tailed test. The sample proportion which gives a value of 0.5050. The standard error can then be calculated which gives a value of 0.01925. The Z statistic is then calculated as 0.2598. When compared to a P value of 0.3975, it can be concluded that the null hypothesis is not rejected given the p-value is greater than 0.5.

Therefore, given the not so significant values, there is no sufficient evidence that most adults will not erase their personal information online.

Answer:

21

Step-by-step explanation:

The values for the third side of a triangle must be greater than the difference of the two other sides and less than the sum of the two other sides

12 -8 < x < 12+8

4 < x < 20

The third side cannot be 21

Answer:

21

Step-by-step explanation:

The sum of two sides of a triangle must be greater than the third side

We can say that the value of n cannot be calculated since the series diverges. The value of n cannot be calculated since the series diverges.

To determine what should n be in order that the partial sum sn = n= 1 root 1/i+1 satisfies sn > 1000, we need to find the value of n that satisfies the given equation.

So,We know that the partial sum of the series to infinity can be given as,

S= ∑1∞ (1/i+1)

Now, the value of S can be given as,

S = 1/2 + 1/3 + 1/4 + … + 1/n + …

Let, Sn be the partial sum up to the first n terms of the series.

Then, Sn = 1/2 + 1/3 + 1/4 + … + 1/n, and we have to find the value of n for which Sn > 1000.

Using the comparison test, we can say that,

∑1∞ 1/i+1 > 1 + ∫[1,∞] 1/x+1 dx

So,S = ∑1∞ (1/i+1) > 1 + ∫[1,∞] 1/x+1 dx

= 1 + ln (x+1) from 1 to infinity= ∞

Therefore, from here, we can say that the value of n cannot be calculated since the series diverges.

Hence, the answer is that the value of n cannot be calculated since the series diverges.

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The Prime factors of 18 are (2²) * 3 or 2 * 2 * 3. Thus, option B is the correct answer.

Prime numbers are numbers that are not divisible by any other number other than 1 and the number itself.

Composite numbers are numbers that have more than 2 factors that are except 1 and the number itself.

Prime factors are the prime numbers that when multiplied get the original number.

To calculate the prime factor, we use the division method.

In this method, firstly we divide the number by the smallest prime number it is when divided it leaves no remainder. In this case, we divide 18 by 2 and get 9.

Again, divide the number we get that, in this case, is 9, in the previous step by the prime number it is divisible by. So, 9 is again divided by 3 and we get 3.

We have to perform the previous step until we get 1. And 3 ÷ 3 = 3. Since we get 1, we stop here.

Finally, Prime factorization of 18 is expressed as 2 × 2 × 3  or we can write it as (2²) * 3

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Answer:

\(\displaystyle d = \sqrt{41}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Point (1, 10)

Point (5, 15)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

d > -2

Step-by-step explanation:

-2d-2 < 3d+8

3d+8 > -2d-2

3d + 2d > -2 -8

5d > -10

d > -2

Feel free to mark this as brainliest! :D

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 7) ← 2 points on the line

m = \(\frac{7-3}{4-2}\) = \(\frac{4}{2}\) = 2

The correct statement is: (a) An acid-base reaction releases heat, and it is called exothermic.

An acid-base reaction involves the transfer of protons (H+ ions) from an acid to a base, resulting in the formation of water and a salt. In general, acid-base reactions are classified as either exothermic or endothermic based on the heat energy released or absorbed during the reaction.

In an exothermic reaction, the overall energy of the products is lower than that of the reactants. As a result, excess energy is released in the form of heat. In the context of an acid-base reaction, when an acid and a base react, the formation of water and the salt is accompanied by the release of heat energy. This release of heat indicates that the reaction is exothermic.

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Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A.

Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A. This is due to the fact that for any symmetric matrix A, the image (column space) and kernel (null space) are orthogonal subspaces. Since v is in the image of A and w is in the kernel of A, their dot product must be zero, indicating orthogonality.

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Answer: 4 deliveries per hour

Step-by-step explanation:

16 divided by 4 = 4 deliveries

The correct way to prove that the triangle KJL is by drawing the line KM, where M is a point on the line JL and bisector to the angle K.

It is given that sides KJ=KL.

The side KM is common to triangle KLM and triangle KJM .

Thus, the triangle is an isosceles triangle by SAS. since the side KJ= KL and KM is a common side and the angle K is bisected by the line KM.

Thus, the correct option is option 4. The triable is isosceles by SAS.

Answer:

Step-by-step explanation:

M is the point where KM meets the line JL.

So, we have 2 right angled triangles formed which are congruent by SAS.

If Cara spends $2,000 a month, then she spends on $250 clothing

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

Clothing = 1/8

Total amount = $2000

Using the above as a guide, we have the following:

Clothing = 1/8 of total amount

So, we have

Clothing = 1/8 of 2000

Evaluate the product

Clothing = 250

Hence, she spends on $250 clothing

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Question

Cara spent 1/3 of his monthly salary on rent, 1/4 on food, 1/6 on travelling and 1/8 on clothes.

If Cara spends $2,000 a month, how much does she spend on clothing?

Answer:

the answer is second option

The area to the left of z=1.07 is approximately 0.8577 (rounded to four decimal place. To find the area under the standard normal curve to the left of z = 1.07 using a TI-84 calculator.

Follow these steps:

1. Press the "2nd" button, then press "Vars" to access the "DISTR" menu.
2. Scroll down to "normalcdf(" and press "Enter".
3. Enter -99999 (or -E99) as the lower limit, since we want to find the area to the left of z = 1.07, which is very close to negative infinity.
4. Enter 1.07 as the upper limit, since we want to find the area to the left of this value.
5. Enter 0 as the mean, since we're working with the standard normal distribution.
6. Enter 1 as the standard deviation, since we're working with the standard normal distribution.
7. Press "Enter" to calculate the area.

The answer should be approximately 0.8577 when rounded to four decimal places.

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To find the equation in standard form of a parabola that models the values in a table, you need to identify the vertex and either a point on the parabola or the axis of symmetry. Once you have this information, you can use the standard form of the equation for a parabola: y = a(x-h)^2 + k, where (h,k) is the vertex and a is the coefficient that determines whether the parabola opens up or down.

Assuming you have this information, you can substitute the values for h, k, and a into the standard form equation to find the equation that models the values in the table. Keep in mind that if the coefficient a is positive, the parabola opens upward, and if a is negative, it opens downward.

Overall, finding the equation in standard form of a parabola requires knowing the vertex and either a point or the axis of symmetry. From there, you can use the standard form equation and substitute in the appropriate values to model the data in the table.

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Answer:

For the first on, (2.7, 2.67, 2.07) Second,( 2.7, 2.67, 2.66, 2.07)

Step-by-step explanation:

The overall least to greatest is going to be (2.7, 2.67, 2.66, 2.07)

and, (2.7, 2.7, 2.7, 2.7, 2.7, 2.67, 2.67, 2.67, 2.67, 2.67, 2.66, 2.66, 2.66, 2.66, 2.07, 2.07, 2.07, 2.07)

hope this helps

brainliest? (○’ω’○)

Answer:

a

Step-by-step explanation:

sorry im really new so i dont know lol

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Factors of 24 and 40

24:  1, 2, 3, 4, 6, 8, 12, 24

40:  1, 2, 4, 5, 8, 10, 20, 40

8 comes as the GCF of both

For the shown figure:

Given:

We will prove:

The proof will be as follows:

Statement Reason

1. PQ ≅ RS Given

2. QR ≅ SP Given

3. PR ≅ RP Reflexive property

4. ΔPQR ≅ RSP Congruent by SSS postuelate

The absolute value of -2¼ is 2.25.

An absolute value (or modulus) of a real number is the non-negative value of the number without regard to its sign.

For example, absolute value of 5 is 5 and the absolute value of -5 is also 5.

Now the given number is,

-2¼

or, -9/4

or, -2.25

Hence absolute value is given as,

-2¼ =  |-2.25|

Since, modulus of a number is the absolute value of number without regard to its sign.

hence, -2¼ = 2.25

Therefore, The absolute value of -2¼ is 2.25.

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Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

Answer:

x = 1.25

Step-by-step explanation:

7(4 - 2x) - 6x = 3

(28 - 14x) - 6x = 3

-28                  - 28

- 14x - 6x = - 25

- 20x = - 25

/ -20    / -20

x = 1.25

The rise in disposable income from $250 million to $300 million will increase consumption by $40 million.

To determine the change in consumption resulting from a rise in disposable income, we need to consider the marginal propensity to consume (MPC). The MPC represents the proportion of additional income that individuals choose to spend on consumption.

In this case, the MPC is given as 0.8. This means that for every additional dollar of disposable income, individuals will spend 80 cents on consumption.

Given that the rise in disposable income is from $250 million to $300 million, the increase in disposable income is $300 million - $250 million = $50 million.

To calculate the change in consumption, we multiply the increase in disposable income by the MPC:

Change in consumption = MPC * Change in disposable income

Change in consumption = 0.8 * $50 million

Change in consumption = $40 million

Therefore, the rise in disposable income from $250 million to $300 million will increase consumption by $40 million.

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If MPC is given as 0.8, a rise in disposable income from $250m to $300m will

decrease consumption by $50m.

increase consumption by $300m.

increase consumption by $50m.

increase consumption by $40m.

The set of order pairs (1,13),(2,17),(3,17),(4,19),(5,23)

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane.

An ordered pair's numerical values may be fractions or integers. The idea of an ordered pair is very helpful for word problems, statistics, and data comprehension.

• The given x-coordinates are 1,2,3, 4,5; Thus, the domain is {1,2,3, 4,5}

• The given y-coordinates are 13,17,17,19,23; Thus, the domain is {13,17,17,19,23}

• Since every value of x-coordinate have only one value of y-coordinates, it would be a function.

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Polynomial Remainder Theorem:

If we divide a polynomial f(x) by a factor (x – a), then the remainder will be f(a).

In your case, the remainder from dividing by (x-7) will be f(7)

    f(7) = (7)^2 + k(7) -19

          = 49 + 7k -19

          = 30 + 7k

If you want the remainder to be -5, when set 30+7k equal to -5 and solve:

     30 + 7k = -5

             7k = -35

               k = -5

Since the cone has a volume of 37.68 cubic yards, the slant height of the cone is equal to 25 yards.

Given the following data:

Volume of cone =  37.68 cubic yards

Diameter of cone = 6 yards.

Radius of cone = \(\frac{6}{2}\) = 3 yards.

Mathematically, the volume of a cone is given by this formula:

\(V = \frac{1}{3} \pi r^2\sqrt{(l^2-r^2)}\)

Where:

Substituting the given parameters into the formula, we have;

\(37.68 = \frac{1}{3} \times \pi 3^2\sqrt{(l^2-3^2)}\\\\37.68 =9.426\sqrt{(l^2-9)}\\\\1419.78=88.85(l^2-9)\\\\1419.78=88.85l^2-799.65\\\\88.85l^2=1419.78+799.65\\\\l=\sqrt{\frac{2219.43}{88.85} }\)

l = 24.98 ≈ 25 yards.

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