Show that, we can find the minimum distance of a linear
code from a parity- check matrix H for it. The minimum distance is
equal to the smallest number of linearly-dependent column of
H.

Answer:

1.6

Step-by-step explanation:

12.8/8 = 1.6

15.2/9.5 = 1.6

Scale factor = 1.6

Answer:

2n+3n=5n = -41-9= 50

5n=50

n = 10

1. 34c = 68

Divide both sides by 34

C = 68/34

C = 2

2. D - 1/2 = 3/4

Add 1/2 to both sides

D = 3/4 + 1/2

D = 1 1/4

3. E + 52.5 = 81

Subtract 52.5 from both sides

E =81-52.5

E = 28.5

4. 18 = f/0.3

Multiply both sides by 0.3

F = 18 x 0.3

F = 5.4

Answer:

\(r = 2.5 \\ sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ = \frac{125( {2.5}^{7 - 1} )}{7 - 1} \\ = \frac{30517.6}{6} \\ = 5086.3\)

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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Answer:

v = 200 m/s

Step-by-step explanation:

The formula for the speed of a tsunami in deep water is given by :

\(v=\sqrt{gh}\)

Here,

g is acceleration due to gravity

h is the depth of the ocean in meters.

We need to find the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away. The Bay of Bengal is 4 km (4000 m) deep.

It means we need to find v if h = 4000 m

So,

\(v=\sqrt{10\times 4000}\\\\v=200\ m/s\)

So, the speed of the tsunami is 200 m/s.

For the trapezoid:

(a) To calculate the distance from H to D (HD), use trigonometry. We know that BD = 10 km and ∠ABD = 58º. Therefore, sine of ∠ABD equals to HD/BD.

So, HD = BD × sin(∠ABD)

= 10 km × sin(58º)

= 10 km × 0.8480 (rounded value of sin(58))

= 8.48 km

(b) To calculate the length of AD, we'll first calculate HB using the Pythagorean theorem, since ∆HBD is a right triangle:

HB = √(BD² - HD²)

= √((10 km)² - (8.48 km)²)

= √(100 km² - 71.83 km²)

= √(28.17 km²)

= 5.3 km

So, AD = AB - HB

= 12 km - 5.3 km

= 6.7 km

(c) To calculate the angle ∠DAB, use the law of cosines on ∆ABD:

cos(DAB) = (AD² + BD² - DB^2) / 2ADBD

= (6.7 km² + 10 km² - 10 km²) / (2 × 6.7 km × 10 km)

= (44.89 km²) / (134 km²)

= 0.3347

Therefore, ∠DAB = arccos(0.3347) = 70.46°.

(d) Given that the actual length of AD = 6.7 km, the landowner's estimate was 11.5 km. The absolute error is the difference between the estimated and actual value:

Absolute Error = |Estimated - Actual|

= |11.5 km - 6.7 km|

= 4.8 km

The percentage error is the absolute error divided by the actual value, multiplied by 100:

Percentage Error = (Absolute Error / Actual) × 100

= (4.8 km / 6.7 km) × 100

= 71.64%

(e) The volume V of a cone is given by the formula V = (1/3)πr²h. Given that the radius r = 20 cm = 0.2 m and height h = 40 cm = 0.4 m:

V = (1/3) × π × (0.2 m)² × 0.4 m

= 0.0084 cubic meters

(f) To calculate the total volume of concrete needed, know the number of bollards. The bollards are installed every 100 m along the perimeter of the plot. The perimeter P of a trapezoid is the sum of its sides:

P = AB + BC + CD + DA

= 12 km + BC + 8 km + 6.7 km

BC = √(BD² - CD²) = √((10 km)² - (8 km)²) = √(36) = 6 km (Using Pythagorean theorem).

So, P = 12 km + 6 km + 8 km + 6.7 km = 32.7 km = 32700 m

The number of bollards is P/spacing = 32700 m / 100 m/bollard

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The gradient field of a function is a vector field that points in the direction of the maximum increase of the function.  In the case of f(x,y,z) = x^2/4 + y^2/4 + z^2 - 1/2, the gradient field is given by <x/2, y, 2z>.

The gradient of a scalar field is a vector field that points in the direction of the maximum rate of increase of the scalar field, and its magnitude represents the rate of increase.

To find the gradient field of f(x,y,z), we first calculate the partial derivatives of f with respect to x, y, and z. The partial derivative of f with respect to x is 2x/4y2/4z2, the partial derivative of f with respect to y is -x2/2y3/4z2, and the partial derivative of f with respect to z is -x2/4y2/2z3/2. The gradient of f is then given by the vector field (2x/4y2/4z2)i - (x2/2y3/4z2)j - (x2/4y2/2z3/2)k, where i, j, and k are the unit vectors in the x, y, and z directions, respectively. This vector field represents the direction and magnitude of the maximum rate of increase of f at any point in space.

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$225 is the amount that would expect someone who has 9 pets to spend at the pet store each month

We have the equation of the line as

MX + B

When we have 4, 100

We will put the values in the line formula so that :
100 = m *4

solve for the value of m

m = 100 / 4

m = 25

Given that the value of m = 25

y = 25 x

we have that  how much would expect someone who has 9 pets to spend at the pet store each month?

hence the value of x is given as 9

y = 25 x 9

y = 25 x 9

y = $225

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Answer:

d. x9 + x3 – 10 = 0

Answer:

\(7x^2-x\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the height of the object covered by the ball modeled by the function;

h(x) = -16x^2 + 48x + 64

To determine the height covered by the ball after 1.2 secs, we will simply substitute x = 1.2s into the formula and find h(x) as shown;

h(1.2) = -16(1.2)^2 + 48(1.2) + 64

h(1.2) = -16(1.44) + 48(1.2) + 64

h(1.2) = -23.04 + 57.6 + 64

h(1.2) = 98.56m

This means that the ball have covered 98.56m in 1.2sseconds

Answer:

The Answer is D. 25ft

Step-by-step explanation:

Taking the quiz rn hope this helps:)

The exponential function that models the total population p after t years is p = 3,500 x 1.025^t.

To write an exponential function that models the total population of the town after t years, we need to use the formula:

p = p0 x  (1 + r)^t

where p0 is the initial population, r is the annual growth rate as a decimal (so in this case, 2.5% = 0.025), and t is the number of years.

In this case, we know that the initial population is 3,500, and the annual growth rate is 2.5%, or 0.025. So we can substitute these values into the formula to get:

p = 3,500 x (1 + 0.025)^t

Simplifying this expression gives:

p = 3,500 x 1.025^t

So the exponential function that models the total population p after t years is:

p(t) = 3,500 x 1.025^t

Note that the function is exponential because the population grows at a constant percentage rate each year, which means that the growth itself is increasing over time.

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Answer:

No, only for right angle Δ

Step-by-step explanation:

It is only used for right angle triangles

Answer:

8x + 1.75 = y

Step-by-step explanation:

Read the question and look for key words.

In this questions the key words are Each and Total.

x is for each pizza purchased and y is total cost.

The delivery charge is a one time charge so no need to add a letter because people don't buy more than one delivery charge.

Hope this helps!

At a significance level of 0.01, we can confidently state that the student's claim is true.

The hypothesis in this question can be stated as follows:

Null Hypothesis: H0: μ1 = μ2 (There is no difference between the mean of four-year college enrollment and two-year college enrollment.)

Alternative Hypothesis: H1: μ1 > μ2 (Mean enrollment of four-year colleges is greater than the mean enrollment of two-year colleges in the United States.)

The significance level (α) is given as 0.01, which represents the probability of rejecting the null hypothesis when it is actually true.

To calculate the test statistic, we can use the formula:

z = ((X1 - X2) - (μ1 - μ2)) / √((σ1² / n1) + (σ2²  / n2))

Substituting the given values:

z = ((6193 - 4305) - (0)) / √((598²  / 35) + (572²  / 35))

z = 10.33

Since this is a right-tailed test, we need to compare the test statistic with the critical value. At a significance level of 0.01, the critical value is 2.33.

The calculated test statistic (10.33) is greater than the critical value (2.33). Therefore, we reject the null hypothesis and conclude that there is enough evidence to support the claim that the mean enrollment at four-year colleges is higher than at two-year colleges in the United States.

In conclusion, at a significance level of 0.01, we can confidently state that the student's claim is true. The mean enrollment at four-year colleges is higher than at two-year colleges in the United States.

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Answer:

C) nervous

In this organelle, carbon dioxide and water are converted to _________ and oxygen.

~glucose

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

The LHS and RHS are exactly the same, so the equality is true.

The associate property of addition says that

\(\boxed{a+(b+c)=(a+b)+c}\)

In order to make the addition of fractions, the denominators should be same. So we can write three fractions as one.

\(\dfrac{1}{2} +\left(\dfrac{2}{3}+\dfrac{3}{4} \right )\)

\(\dfrac{1}{2} +\dfrac{2}{3}+\dfrac{3}{4}\)

\(\dfrac{1\cdot 6 }{2\cdot 6} +\dfrac{2 \cdot 4}{3 \cdot 4}+\dfrac{3 \cdot 3 }{4 \cdot 3}\)

\(\dfrac{ 6 }{12} +\dfrac{8}{12}+\dfrac{9 }{12}\)

\(\dfrac{ 23 }{12}\)

Answer:

You gotta give me (us) more to work with homie.

Step-by-step explanation:

If I have more of a picture with it I could possibly help but all there is a barely readable and legible nonsense equation. Sorry :(

Answer:

Unless you have a good reason to use mode or median, like bimodal distributions or heavily skewed data, the best measure to use is the mean. SPSS Tips: Vocabulary: Measures of Central Tendency - Numbers that represent the average or typical score obtained from measurements of a sample.

If team A receives the ball, the probability that A win is given by (1-q)/(2-q).

For transition matrix P, we have;

P= ⎣ ⎡ ​0 1−p 0 0 ​1−p 0 0 0 ​p 0 1 0 ​0 p 0 1 ​⎦⎤​

From the transition matrix P, we can determine the probability of absorption from state 1 into state 3 as follows:

I-Q =\([ 1 p-1 1-p 1 ](I-Q)^{-1}\)

R = 2-p[ 1 p-1 1-p 1 ]\({p 0 \choose 0 p}\)

=\([ \frac{p}{2-p} \frac{1-p}{2-p}]\)

Therefore, the probability of absorption from states 1 to 3 is 1-p/2-p, which simplifies to (2-p)/2-p.

The four-state absorbing Markov chain is given with states

PA: team A gains possession,

PB: Team B gains possession,

A: A wins, and B: B wins.

The transition matrix is given by;

P = [q 1-q 0 0 1-q q 0 0 0 0 1 0 0 0 0 1]

From the matrix, if team A receives the ball in overtime, we find the probability that A wins as follows:

The probability of absorption from state PA to state A is 1, while the probability of absorption from state PA to state B is 0.

Therefore; P(A|PA) = 1,

P(B|PA) = 0

The probability of absorption from state PB to state B is 1, while the probability of absorption from state PB to state A is 0.

Therefore;

P(B|PB) = 1,

P(A|PB) = 0

Let P_A be the probability of winning for team A, then the probability of winning for team B is given by;

\(P_B = 1 - P_A\)

From the transition matrix, the probability that team A wins when it starts with the ball is given by;

P(A|PA) = qP(A|PA) + (1-q)P(B|PA)

We know that P(A|PA) = 1 and

P(B|PA) = 0

Therefore;

1 = q + (1-q)

\(P_B1\) = q + (1-q)

\((1-P_A)1 = q + 1 - q - P_A + q\)

\(P_AP_A = \frac{1-q}{2-q}\)

Therefore if team A receives the ball, the probability that A win is given by (1-q)/(2-q).

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Answer:

1.colon

2. semicoln

3. comma

4. none

5. dash

6. comma

7. i am not sure but i think is a colon

8.comma

9. semicoln

10. dash

Step-by-step explanation:

You use colon when listing out something.

Sorry, I am not sure about this answer

Answer:

{-9, -3, 0, 5, 7}

Step-by-step explanation:

Well, you already have the relation of the function. The domain of a function are its x coordinates and the range are all the y coordinates:

0, -3, -9, 5, 7

We write them in ascending order:

-9, -3, 0, 5, 7

And this way we get the range

It is important to check if the coordinates you are given can form a function. In this case they do, but in other cases they might not.

If you have coordinates where for example there are two equal values of x but the y is different in both, for example (1, 2) and (1, 5), this cannot be a function because y can be on two possible destinations for the same value of x.

Answer:

120

Step-by-step explanation:

all angles of a triangle add up to 180. 180-15-45= 120.

:D

brainliest pls

Given :

Measure of an angle = 15°

Measure of the second angle = 45°

Let the measure of the third angle be x.

We know that :

▪︎Sum of all angles of a triangle = 180°[angle sum property]

Which means :

\( =\tt 15 + 45 + x = 180\)

\( =\tt 60 + x = 180\)

\( =\tt x = 180 - 60\)

\(\hookrightarrow\color{plum}\tt \: x = 120°\)

Thus, the measure of the third angle = 120°

Since the sum of all these angles is equivalent to 180°[15+45+120=180] we can conclude that we have found out the correct measure of the third angle.

Therefore, the correct option is (C) 120

Answer:

See below for proof.

Step-by-step explanation:

Given:

\(\log_ab \times \log_ba=1\)

To prove the given equation, begin by changing the base of the two logs so that they have the same base.

\(\boxed{\textsf{Change of base}: \quad \log_pr=\dfrac{\log_xr}{\log_xp}}\)

Change the base of both logs to x by using the change of base formula:

\(\implies \log_ab=\dfrac{\log_xb}{\log_xa}\)

\(\implies \log_ba=\dfrac{\log_xa}{\log_xb}\)

Substitute into the equation:

\(\implies \log_ab \times \log_ba=\dfrac{\log_xb}{\log_xa} \times \dfrac{\log_xa}{\log_xb}\)

\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}\times \dfrac{b}{d}=\dfrac{a \times b}{c \times d}:\)

\(\implies \dfrac{\log_xb \times \log_xa}{\log_xa \times \log_xb}\)

Apply the commutative property of multiplication to the numerator:

\(\implies \dfrac{\log_xa \times \log_xb}{\log_xa \times \log_xb}\)

Cancel the common factor logₓb:

\(\implies \dfrac{\log_xa}{\log_xa}\)

\(\textsf{Apply the fraction rule} \quad \dfrac{n}{n}=1:\)

\(\implies \dfrac{\log_xa}{\log_xa}=1\)

Hence proving that:

In one calculation:

\(\begin{aligned}\implies \log_ab \times \log_ba & =\dfrac{\log_xb}{\log_xa} \times \dfrac{\log_xa}{\log_xb}\\\\&=\dfrac{\log_xb \times \log_xa}{\log_xa \times \log_xb}\\\\&=\dfrac{\log_xa \times \log_xb}{\log_xa \times \log_xb}\\\\&=\dfrac{\log_xa}{\log_xa}\\\\&=1\end{aligned}\)

∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information

Two angles are given.

∠g = (2x-90)°

∠h = (180-2x)°

We have to find the statement which is true about the angles g and h.

If both angles are greater than zero.

Complementary angles add up to 90 degrees

i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.

Substituting the given values:

∠g + ∠h

= (2x-90)° + (180-2x)° = 90°

Thus, ∠g and ∠h are complementary angles.

and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h  are acute.

So the statement ∠g and ∠h are acute angles is also true

Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements

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Answer:

5 and 10

5 and 20

5 and 50

10 and 20

10 and 50

20 and 50

1/4 for 5$

1/4 for 50$

Option D. The faculty should use the median to make their argument. The median will be lower than the mean since the mean is influenced by the few extremely high salaries.

Mean is the average of any data set whereas the median is the middle value we get after arranging the data in ascending order.

So for example, if the salaries of any 5 faculty members are as follows:

$10,000 , $50,000 , $80,000 , $150,000 , $160,000

Mean= (10,000+50,000+80,000+150,000+160,000) / 5

Mean= $90,000

Median= (5+1) / 2

Median= 6/2

Median= 3rd value

As the data is already arranged in ascending order, Median is $80,000

Hence, if the faculty want to give the community the impression that they deserve higher salaries, they should advertise the median of their current salaries.

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