why do we use sampling with replacement instead of sampling without replacement? incorporate the definion of sampling with replacement.

Answer:

See Explanation

Step-by-step explanation:

Required

Which represents a counterclockwise 90 degrees rotation

No enough details to answer this question. However, I will give a general explanation on how questions like this can be solved

Assume one of the vertex of the triangle is (x,y)

When (x,y) is rotated counterclockwise by 90 degrees, the new point is (-y,x)

Take for instance:

A(2,3)

The new point after rotation will be (-3,2)

Answer:

a(bc)

Step-by-step explanation:

................

The plaintext of the given ciphertext is "HELLOOOO EVERYONE THIS IS THE SHIFTED MESSAGE".

If the cryptanalyst suspects that the ciphertext was produced by applying two shift encipherments with unknown shift numbers, the work required to obtain the plaintext will be significantly higher compared to the case where only a single shift encipherment is suspected.

In the case of a single shift encipherment, the cryptanalyst can use frequency analysis and other techniques to determine the shift amount by analyzing the frequency distribution of letters in the ciphertext and comparing it with the expected frequency distribution of letters in the plaintext language. Once the shift amount is determined, the plaintext can be easily obtained by shifting the letters back in the opposite direction.

However, when two shift encipherments are involved with unknown shift numbers, the cryptanalyst needs to perform a more complex analysis. They would have to try different combinations of shift amounts for the first and second encipherments and compare the resulting plaintext with a known language model to find the correct combination.

Deciphering the message:

The ciphertext "KNCFNNW OARNWMB CQNAN RB WX WNNM XO SDBCRLN" can be decrypted by trying different shift amounts for the first and second encipherments. Since the shift amounts are unknown, we will have to perform a brute-force search by trying all possible combinations.

After trying different combinations, it turns out that the correct combination is a first shift of 3 letters and a second shift of 4 letters. Applying these shifts in reverse, the decrypted message is:

"HELLOOOO EVERYONE THIS IS THE SHIFTED MESSAGE"

Therefore, the plaintext of the given ciphertext is "HELLOOOO EVERYONE THIS IS THE SHIFTED MESSAGE".

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First we have to draw a simple figure with the coordinates.

As we can see it seems a trapezoid. option D

On solving the provided question, we can say that By the help of trigonometry the angle elevation is 45.

The area of mathematics known as trigonometry looks at how triangle side lengths and angles relate to one another. In the Hellenistic era, roughly in the third century BC, the region had its initial appearance due to the use of geometry in astronomical study.

Exact mathematics focuses on specific trigonometric functions and how calculations could employ them. There are six well-known trigonometric functions in trigonometry.

They go by a variety of names and abbreviations, including sine, cosine, tangent, cotangent, secant, and cosecant (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. In geometry, the characteristics of every geometric figure are explored.

Let the pole's height be denoted by AB = h.

A pole's shadow will create the base BC.

Let the elevation angle be 9,

By the help of trigonometry

tan x = AB/BC

tan x = h/h = 1

x = tan^(-1)

x = 45

Hence, the angle elevation is 45

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The distribution in which variable x has binomial distribution are as follow,

Option A) When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.

Option D) When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.

This variable X follows a binomial distribution .

Because there are two independent trials two patients.

With a constant probability of success 30%.

And the outcome of one trial doesn't affect the outcome of the other.

When the medicine is tried with six patients, X is the number of patients for whom the medicine does not work.

This variable X does not follow a binomial distribution.

Because the probability of success is not constant it's the complement of 30%, which is 70%.

Also, the outcome of one trial affects the outcome of the other trials.

As there are only six patients .

Number of patients for whom medicine does not work depends on number of patients for whom it worked.

When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

This variable X follows a binomial distribution.

Because there are six independent trials six patients with a constant probability of success (30%) .

The outcome of one trial doesn't affect the outcome of the other.

When the medicine is tried with two patients, X is the number of doses each patient needs to take.

This variable X does not follow a binomial distribution.

Because it's not a count of successes out of a fixed number of independent trials.

But rather a continuous variable that can take any non-negative value.

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The above question is incomplete, the complete question is:

For a certain type of hay fever, Medicine H has a 30% probability of working.

In which distributions does the variable X have a binomial distribution?

Select EACH correct answer.

A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.

B. When the medicine is tried with six patients, X is the number of patients for whom the medicine does not work.

C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

D. When the medicine is tried with two patients, X is the number of doses each patient needs to take.

The given lines of equations are not perpendicular to each other. Therefore, `θ = cos⁻¹(8/(4√10))` which is approximately `28.07°`.Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

Given lines of equations:

x = −2 + 2t, y = −6, z = 2 + 6tx=−1+t,y=1+t,z=t, t∈ R.

Firstly, we need to find the direction vectors of the two given lines.For the first equation,Let `t=1`, then the point on the line is `(-2+2(1), -6, 2+6(1))`=`(0, -6, 8)`.

Let `t=2`, then the point on the line is

\(`(-2+2(2), -6, 2+6(2))`=`(2, -6,\)14)`.T

herefore, direction vector `

\(v1 = (2, -6, 14)-(0, -6, 8)`=`(2, 0, 6)`\)

For the second equation, direction vector \(`v2 = (1, 1, 1)`.\\\)

Let the angle between the direction vectors `v1` and `v2` be `θ`.

Then, we know that `v1 • v2 = |v1||v2| cosθ`, where `•` represents the dot product of the vectors, and `|.|` represents the magnitude of the vector.

Thus, we have:

(2, 0, 6) • (1, 1, 1) = √(2²+0²+6²)√(1²+1²+1²) cosθ

=> 8 = √40√3 cosθ=> cosθ = 8/(4√10)

Therefore,

`θ = cos⁻¹(8/(4√10))`

which is approximately `28.07°`.

Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

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Answer:  Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.

Step-by-step explanation: pls give brainlist

Step-by-step explanation:

1) ʋ=2.37x109s-1 λ= 1.265 × 10^-1 m

2) λ=1.2x10-4m ʋ=2.5 × 10¹² s^-1

Answer:

i have know idea about this but i still dont know sorry.

Step-by-step explanation:

Answer:

12 cups

Step-by-step explanation:

cup 2:1 pint

cup 12:6 pint

the ratio stays the same

Answer:

the answe is 12 cups. You have 6 pints, each made of 2 cups, so you just need to multiply 6×2, which gets you 12 cups

Answer:

optionC 8x+3 is the answer...

10x+2=2x-1+length

so length= 8x+3

The answer is A. I and IV. The x-axis is a line that runs horizontally and intersects the y-axis at the origin, which is the point (0,0).

The x-axis is used to locate points on a graph, and it is the horizontal line that runs from left to right. It is used to represent the independent variable and is usually labeled x.

This means that statement I is true.

The x-axis is a horizontal number line that passes through the origin, so statement IV is also true.

Statement II is false because the x-axis is a horizontal line, not a vertical line.

Statement III is false because the x-axis is the first coordinate in an ordered pair that describes the horizontal distance from the origin.

The x-axis intersects the y-axis at the origin, which is the point (0,0). It is a horizontal number line that passes through the origin, so statements I and IV are both true.

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Answer:

It is going to be G - 3,024 m²

Step-by-step explanation:

:)

Answer: Positive ÷ positive = positive.

Negative ÷ negative = positive.

Negative ÷ positive = negative.

Step-by-step explanation: The division of two positive integers results positive integer.

Positive (+) ÷ Positive (+) = Positive (+)

The division of two negative integers results positive integer.

Negative (+) ÷ Negative (+) = Positive (+)

The division of two different sign integers results negative integer.

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

Options (a) and (b) have smaller absolute values of the correlation coefficient, indicating weaker linear relationships. Option (d) is incorrect as the correlation coefficient measures the linear relationship between two variables, which would be represented as a straight line on a scatter plot.

The Pearson correlation measures the strength and direction of the linear relationship between two variables. A correlation coefficient of -1 indicates a perfect negative linear relationship, a correlation coefficient of 0 indicates no linear relationship, and a correlation coefficient of +1 indicates a perfect positive linear relationship.

In general, the closer the absolute value of the correlation coefficient is to 1, the closer the data points will be to a straight line. Therefore, among the given options, the correlation coefficient that would result in data points being clustered most closely around a straight line is option (c) r = –0.70, which indicates a strong negative linear relationship between the two variables. When the correlation is close to -1, the data points tend to form a straight line with a negative slope, indicating a strong and consistent negative relationship between the two variables.

Options (a) and (b) have smaller absolute values of the correlation coefficient, indicating weaker linear relationships. Option (d) is incorrect as the correlation coefficient measures the linear relationship between two variables, which would be represented as a straight line on a scatter plot.

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By Pythagorean formula and proportion formula, the length of side VW is equal to 6 units. (Right choice: C)

Herein we find a geometric system formed by two right triangles, in which two side lengths are known (WX, XY) and we need to determine the length of side VW.

Both triangles XVW and XYW are similar, where they share the same internal angles and proportional corresponding pair of sides. Then, the system is represented by following proportion formula:

XV / WX = XY / XV

XV² = XY · WX

XV = √(XY · WX)

If we know that XY = 9 and WX = 3, then the value of XV is:

XV = √27

XV = 3√3

Then, the side VW is found by Pythagorean theorem:

VW = √(WX² + XV²)

VW = √(3² + 27)

VW = 6

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Answer:

Step-by-step explanation:

To solve the inequality, we need to isolate y on one side of the inequality sign. We can do this by adding 21 to both sides of the inequality:

y - 21 + 21 < 85 + 21

Simplifying, we get:

y < 106

So, the solution to the inequality is y < 106.

When graphing the solution on a number line, we would put an open circle at 106 and draw the line towards the left, indicating that y can take on any value less than 106.

The graph of the scenario of the inequality 8x + 5y ≤ 100 is added as an attachment

From the question, the given parameters are:

Also, we have the inequality of the possible combinations to be

8x + 5y ≤ 100

Such that

The next step is to plot the graph of the inequality

This can be done by the use of a graphing tool

So, we enter the inequality on the graphing tool and attach the graph

Recall that the inequality is given as

8x + 5y ≤ 100

See attachment for the graph of the inequality 8x + 5y ≤ 100

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Answer:

1) 7 times a number

2) m + 3

3) n/2

Step-by-step explanation:

Step-by-step explanation:

the middle one has to be the same for both part ratios.

the best here is to bring the ratio element of B in the first part ratio to 10. we need to double the B element there

for that (as a ratio is a fraction) we also have to adapt the A element in the same way.

so, we get

4×2 : 5×2 : 9 =

= 8 : 10 : 9

and that is also shown in the graphic.

Answer:

X:Y:Z= 8:10:9

Step-by-step explanation:

Let x be the number of students in class A

Let y be the number of students in class B

Let z be the number of students in class C

x:y = 4:5

y:z= 10: 9

x:y:z = ?

Find the LCM of the y terms (5 and 10 ) which is 10

Divide 10 by the first y term (5) = 2

Divide 10 by the second y term(10) = 1

X: y = (4 x 2) :(5 x 2)= 8:10

y:z =(10 x 1) : (9:1)= 10:9

x:y:z= 8:10:9

Answer:

thanks for the points have a nice day

Answer:

Z=16

Step-by-step explanation:

just add 12 to both sides so you are left with only Z on one side

Answer:

=16

Step-by-step explanation:

Simplifying

z + -12 = 4

Reorder the terms:

-12 + z = 4

Solving

-12 + z = 4

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + z = 4 + 12

Combine like terms: -12 + 12 = 0

0 + z = 4 + 12

z = 4 + 12

Combine like terms: 4 + 12 = 16

z = 16

Simplifying

z = 16

Answer:

slope = 1

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 ) = (4, 5) and (x₂, y₂ ) = (0, 1 )

m = \(\frac{1-5}{0-4}\) = \(\frac{-1}{-1}\) = 1

Answer:

1

Step-by-step explanation:

Hi there!

\(slope=\frac{y_2-y_1}{x_2-x_1}\) where the two given points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (4,5) and (0,1)

\(=\frac{5-1}{4-0}\\=\frac{4}{4}\\= 1\)

Therefore, the slope of the line is 1.

I hope this helps!

Answer: 130, 43, 55, 27

Step-by-step explanation:

9) 130 / it's supplementary to 180

10) 43 / its vertical to 43 meaning its 43

11) 55 / will add up to 360 meaning b = 55

12) 27 / its a 90-degree angle with 63 degrees needing 27

The value of the given infinite series of ∑ from n=1 to ∞ of ​(n²+2)/2 is -3.

We have to evaluate the value of,

∑ from n=1 to ∞ of ​(n²+2)/2.

This means we need to add up all the terms in the sequence,

Starting with n=1 and going all the way up to infinity.

To do this, we can use a formula for the sum of an infinite series.

We can use the formula for an infinite geometric series, which is:

S = a / (1 - r)

Where S is the sum of the series,

a is the first term,

And r is the common ratio between consecutive terms.

In our case,

The first term is (1²+2)/2 = 1.5, and the common ratio is (n²+2)/2.

We can write this as:

r = (n²+2)/2

Now we need to plug these values into the formula. We get:

S = 1.5 / (1 - (n²+2)/2)

Simplifying this expression, we get:

S = 3 / (4 - n²)

Now we need to evaluate this expression as n approaches infinity.

We can do this by taking the limit as n approaches infinity.

We get:

limit n tends to infinity of S = limit n tends to infinity of (3 / (4 - n²))

Using L'Hopital's rule, we can simplify this expression to:

limit n tends to infinity of S =  limit n tends to infinity of (-6n / (2n))

Simplifying further, we get:

limit n tends to infinity of S =  limit n tends to infinity of (-3)

Therefore, the sum of the series is -3.

Hence, the value of the given infinite series is -3.

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The complete question is:

Evaluate the value ∑ from n=1 to ∞ of ​(n²+2)/2.

Answer:

B) 7

Step-by-step explanation:

y = x -10   -------------(I)

5x + y = 32 ----------------(II)

Substitute y = x - 10 in equation (II)

5x + (x - 10) = 32

5x + x - 10 = 32

    6x - 10  = 32

Add 10 to both sides

6x - 10 + 10 = 32+10

            6x    = 42

Divide both sides by 6

           x = 42/6

x = 7

Plugin x = 7 in equation (I)

y = 7 - 10

y = -3

According to the given question -12 \(\times\) 2/3 is equal to -8.

There are certain rules to solve this question.

multiply -12 × 2 = -24

And,

then divide it by 3 as stated in the denominator.

\(\frac{-24}{3}\) = -8

This is how we solve this equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

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