When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as.

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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Given:

Two complex numbers are \(w_1=-2+3i\) and \(w_2=4-4i\).

To find:

The complex number that can be added to \(w_1\) to produce \(w_2\).

Solution:

Let complex number \(z=\) is added to \(w_1\) to produce \(w_2\).

\(w_1+z=w_2\)

\(z=w_2-w_1\)

On substituting the values, we get

\(z=(4-4i)-(-2+3i)\)

\(z=4-4i+2-3i\)

Combine like real and imaginary parts.

\(z=(4+2)+(-4-3)i\)

\(z=6+(-7)i\)

\(z=6-7i\)

Therefore, the correct option is C.

The force required to shear the material when punching two holes of different diameters simultaneously is approximately 295,408.09 Newtons (N).

To determine the force required to shear the material when punching two holes of different diameters simultaneously, we need to calculate the shear area and then multiply it by the ultimate shear stress.

The shear area can be calculated using the formula:

Shear Area = (Perimeter of Hole 1 + Perimeter of Hole 2) × Thickness

For Hole 1 with a diameter of 20 cm:

Radius of Hole 1 = 20 cm / 2

= 10 cm

= 0.1 m

Perimeter of Hole 1 = 2π × Radius of Hole 1

= 2π × 0.1 m

Perimeter of Hole 1 = 0.2π m

For Hole 2 with a diameter of 22 cm:

Radius of Hole 2 = 22 cm / 2

= 11 cm

= 0.11 m

Perimeter of Hole 2 = 2π × Radius of Hole 2

= 2π × 0.11 m

Perimeter of Hole 2 = 0.22π m

Thickness of the metal sheet = 3 mm

= 0.003 m

Shear Area = (0.2π + 0.22π) × 0.003 m²

Next, we'll calculate the force required to shear the material by multiplying the shear area by the ultimate shear stress:

Ultimate Shear Stress = 56 MPa

= 56 × 10^6 Pa

Force = Shear Area × Ultimate Shear Stress

Please note that the units are crucial, and we need to ensure they are consistent throughout the calculations. Let's compute the force using the given values:

Shear Area = (0.2π + 0.22π) × 0.003 m²

Shear Area = 0.00168π m² (approx.)

Force = 0.00168π m² × 56 × 10^6 Pa

Force ≈ 295,408.09 N

Therefore, the force required to shear the material when punching two holes of different diameters simultaneously is approximately 295,408.09 Newtons (N).

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Answer:

37. 0 triangles

38. 1 triangle

39. Yes

40. 13 or greater

Step-by-step explanation:

According to the triangle inequality theorem, the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side, so since 5 + 8 = 13, the third side must not be 13 or greater.

Answer:

Answer is C. 0.58

Step-by-step explanation:

22/38 = 0.57 something rounded to 58

The candidate key for the relation schema R(A,B,C,D,E): A→B, C→B, D→A, D→B, D→C, C→D, D→E.

Candidate key for the given relation: To find the candidate key for the relation schema R(A,B,C,D,E), we need to follow the below steps:

Here, we have the following functional dependencies: A→B, C→B, D→ABC, AC→D, D→E.

Step 1: To normalize the given dependencies, we have the following dependencies:

A→B, C→B, D→ABC, AC→D, D→E becomes

A→B, C→B, D→A, D→B, D→C, D→E.

Step 2: To check for the minimal dependency, we can eliminate the redundancy by eliminating D→ABC. Therefore, we have the following dependency:

A→B, C→B, D→A, D→B, D→C, D→E.

Step 3: Find the closure on each attribute, which is as follows:

1. A+ = {A,B}

2. B+ = {B}

3. C+ = {B}

4. D+ = {A,B,C,D,E}

5. E+ = {E}

Step 4: The combination of attributes that have all attributes of the relation schema, and it will be a candidate key is AD. Therefore, the candidate key is AD.

Compute the minimal cover of F:

Minimal Cover: The minimal set of dependencies that is equivalent to the given set of dependencies is the minimal cover.

We have the following functional dependencies:

A→B, C→B, D→ABC, AC→D, D→E.

The process to compute the minimal cover of F is as follows:

Step 1: To find the redundant dependencies, we need to split the dependencies. We have the following dependencies:

A→B, C→B, D→ABC, AC→D, D→E  becomes

A→B, C→B, D→A, D→B, D→C, D→E.

Step 2: To eliminate the dependencies with three attributes, we can use the following steps:

If X→YZ, then X→Y and X→Z.

Therefore, we have the following dependency:

D→A, D→B, D→C.

Step 3: To eliminate the dependency with two attributes, we can use the following steps:

If X→Y and Y→Z, then X→Z.

We have the following dependency: AC→D, C→D.

Step 4: Therefore, the minimal cover of F is A→B, C→B, D→A, D→B, D→C, C→D, D→E.

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Answer:

1by6 part of 100

100/6=16.66

The function g(x) = 2(x + 1)² is shifted down by 3 units to obtain g(x) = 2(x + 1)² - 3. Therefore, the correct option is A.

Given function g(x) = 2(x + 1)² - 3 is obtained by transforming the parent function f(x) = x².

To graph the function g(x) = 2(x + 1)²-3, take the function f(x) = x² and horizontally shift to the left 1 unit, vertically stretch the function, and shift down 3 units.

Option A is the correct answer.

A transformation is a change in the position, size, or shape of a geometric figure.

In the given function, g(x) = 2(x + 1)² - 3, the parent function f(x) = x² is transformed by a series of changes.

The first change is a horizontal shift of 1 unit to the left, the next is a vertical stretch of 2 units, and finally, the function is shifted down by 3 units.

The steps involved in transforming the parent function are:

Step 1: Horizontal shift: The function f(x) = x² is shifted to the left by 1 unit to obtain g(x) = (x + 1)².

Step 2: Vertical stretch: The function g(x) = (x + 1)² is vertically stretched by a factor of 2 to obtain g(x) = 2(x + 1)².Step 3: Vertical shift:

The function g(x) = 2(x + 1)² is shifted down by 3 units to obtain g(x) = 2(x + 1)² - 3.

Therefore, the correct option is A.

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Step-by-step explanation:

2 inches on the map => 2 miles in reality

So 8 inches on the map => 8 miles in reality.

The distance between the park and the school is 8 mi.

hello

it's very easy

you have

2 mi 》》》 2in

x 》》》》》 8in

x = 8*2/2 = 8 mi

good day

Answer:

\(6\sqrt{6}\)

Step-by-step explanation:

Simplify using \(a\frac{n}{m} =\sqrt[m]{a^n} :\sqrt{6^3}\)

Factor and rewrite the radicand in exponential form: \(\sqrt{6^2 x 6}\)

Rewrite the expression using \(\sqrt[n]{ab} =\sqrt[n]{a}*\sqrt[n]{b} : \sqrt{6^2x\sqrt{6}\)

Simplify  the radical expression

\(6\sqrt{6}\)

m∠F = 140º

1) Since that trapezoid is a quadrilateral, then we can affirm that the Sum of their interior angles is:

Note that "n" refers to the number of sides:

Notice also that angle H is a right angle since this is not an Isosceles Trapezoid

So we can write out the following

9x +14x +4x + 90 = 360º

27x = 360 -90

27x = 270

x =10

Alternatively, angles between parallel lines are supplementary

2) To find out the measure of angle ∠F We'll need to plug x=10 into that expression:

m∠F = 14x

m∠F = 140º

Answer:

.4

Step-by-step explanation: have a good day

An inverse relationship can not direct.

We know that an inverse proportion represents inverse or indirect relation between two quantities.

In inverse relationship, one value increases while the other value decreases, and vice versa.

But in case of direct relationship, if one quantity increases , the other quantity also increases, and  if one quantity decreases , the other quantity also decreases.

When two quantities 'm' and 'n' are inversely proportional to each other, it means when the value of m increases while the value of quantity  'n' decreases, and vice versa.

Also, an inverse relationship always has a negative slope.

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The given position of a particle is given by s(t) = 2cos(t)sin(t/π)4.

Given the function s(t) = 2cos(t)sin(t/π)4, let's explain the position of a particle in 200 words below:A particle's position in space is determined by its location. The motion of a particle in a three-dimensional space is referred to as the position. A position vector is used to represent the particle's position, and it denotes the distance and direction of the particle from the origin. Let's look at how to compute the particle's position using the given function s(t).According to the given function, the position of the particle is determined by s(t) = 2cos(t)sin(t/π)4. It is a trigonometric function that contains the product of two trigonometric functions: cos(t) and sin(t/π). In this instance, the pi in sin(t/π) is used to convert radians to degrees.Let's use this formula to determine the position of the particle at a specific time. The input value of the function s(t) is time, and the output value is the position of the particle at that time. The value of s(t) will determine the location of the particle at that moment. The particle's position can be calculated at any time using this formula. Hence, the given position of a particle is given by s(t) = 2cos(t)sin(t/π)4.

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The indefinite integral is  "-2 √ (21 - x²) + C" and it is the indefinite integral.

The indefinite integral is \(∫dx / (√ (21 - x²))\) which needs to be evaluated. First, we'll attempt to get the integral into a more manageable form by using a substitution. Consider the following expression. u = 21 - x²;   du/dx = -2x;  dx = du / (-2x)  Now let's substitute these values in the given integral. \(∫dx / (√ (21 - x²)) = -∫du / (√ (u))\)    Here, we have substituted du and sqrt (u) for dx and √ (21 - x²) respectively. The given integral now becomes -∫du / (√ (u)). This is a simpler integral. Using the power rule of integration to evaluate this, we get: -2 √ (u) + C, where C is the constant of integration. Substituting back u

= 21 - x², we get -2 √ (21 - x²) + C as the final answer.

Therefore, the answer is  "-2 √ (21 - x²) + C" and it is the indefinite integral.

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Answer:

no, because y does not change by 5 every time x changes by 1

Step-by-step explanation:

The answer is C btw

C:No, because y does not change by 5 every time x changes by 1.

Answer:

The ratio of perch to carp to trout in the pond is 3:3:4, which is the simplest form. This means that for every 3 perch, there are 3 carp and 4 trout.

1) \(\angle A \cong \angle D, \angle C \cong \angle E, \overline{AB} \cong \overline{DF}\) (given)

2) \(\triangle ABC \cong \triangle DFE\) (AAS)

3) \(\angle ACB \cong \angle DEF\) (CPCTC)

The solution to the matrix equation is x = 6 and y = 1.

To solve the matrix equation:

|2 3| |x| |5|

|1 2| |y| = |4|

We can use the inverse of the coefficient matrix to isolate the variables x and y.

Calculate the inverse of the coefficient matrix:

The coefficient matrix is:

|2 3|

|1 2|

To find the inverse, we use the formula:

Inverse of a 2x2 matrix = 1/determinant \(\times\) |d -b|

|-c a|

Where the determinant (ad - bc) is calculated as (22) - (31) = 1.

So, the inverse of the coefficient matrix is:

1/1 \(\times\) |2 -3| = |2 -3|

|-1 2| |-1 2|

Multiply the inverse of the coefficient matrix by the constant matrix:

|2 -3| |x| |5|

|-1 2| |y| = |4|

To do this multiplication, we can use the formula for matrix multiplication:

|a b| |c| |ac + bd|

|e f| |d| = |ec + fd|

Applying this formula, we get:

2x - 3y = 5

-1x + 2y = 4

Solve the system of equations:

Using any method of solving linear equations (such as substitution or elimination), we can solve this system of equations.

Multiplying the first equation by 2 and adding it to the second equation, we eliminate x:

4x - 6y + (-x + 2y) = 10 + 4

3x - 4y = 14

Simplifying the equation, we get:

3x - 4y = 14 ---> (1)

From the second equation, we can express x in terms of y:

-1x + 2y = 4

x = 2y + 4 ---> (2)

Substituting equation (2) into equation (1):

3(2y + 4) - 4y = 14

6y + 12 - 4y = 14

2y + 12 = 14

2y = 2

y = 1

Now, substituting the value of y = 1 into equation (2):

x = 2(1) + 4

x = 2 + 4

x = 6.

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Answer:

Well the number goes up

Step-by-step explanation:

The reason for thisnis because the zeros you add make the number of 1,2,3,4 and so fourth fo up

False. Null and alternative hypothesis are not statements about descriptive statistics.

Null and alternative hypothesis are fundamental concepts in hypothesis testing, a statistical method used to make inferences about population parameters based on sample data. These hypothesis are not directly related to descriptive statistics, which involve summarizing and describing data using measures such as mean, median, standard deviation, etc.

The null hypothesis (H0) represents the default or no-difference assumption in hypothesis testing. It states that there is no significant difference or relationship between variables or groups in the population. On the other hand, the alternative hypothesis (H1 or Ha) proposes that there is a significant difference or relationship.

Both null and alternative hypotheses are formulated based on the research question or objective of the study. They are typically stated in terms of population parameters or characteristics, such as means, proportions, correlations, etc. The aim of hypothesis testing is to gather evidence from the sample data to either reject the null hypothesis in favor of the alternative hypothesis or fail to reject the null hypothesis due to insufficient evidence.

Finally, null and alternative hypotheses are not statements about descriptive statistics. Rather, they are statements about population parameters and reflect the purpose of hypothesis testing in making statistical inferences.

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Answer:

Quadratic

Step-by-step explanation:

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

the median is 26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

first list in numerical order

18,20,20,21,25,27,28,30,30,31

/ / / / / / / /

you are left with 25 and 27 and in-between that is 26 so 26 is the median

Answer:

2:5

Step-by-step explanation:fraction sighn is equivilent to ratio sighn.

Answer:

No, the given is not a function.

Step-by-step explanation:

I am confused if the last half of the numbers belong to a y value or not, but the answer is the same regardless.

If all numbers provided are "x", then no; the given does not represent a function. This is because the "x" value has duplicates, which indicates a non function.

Even if the last 5 numbers belong to f(x), or "y", the given is still not a function. the duplicated number is "9", and the 9's would be an x value regardless of the form of the given information.

Answer:  B) -56i - 24

This is the same as -24 - 56i

=============================================

Explanation:

The 'i' refers to the imaginary number \(\sqrt{-1}\)

In other words, \(i = \sqrt{-1}\)

Squaring both sides gets us \(i^2 = -1\)

So,

\(x = -8(7i - 3i^2)\\\\x = -8(7i - 3(-1))\\\\x = -8(7i + 3)\\\\x = -8(7i) -8(3)\\\\x = -56i -24 \ \ \text{ .... Answer: Choice B}\\\\x = -24 - 56i\\\\\)

The result is in the form a+bi where a = -24 is the real part and b = -56 is the imaginary part.

Flip a fair coin until it comes up heads. You win a payout of 2n dollars, where n is the number of flips you performed. The expected value of this game is $2.

The game you're describing involves flipping a fair coin until you get a heads. The payout is 2^n dollars, where n is the number of flips you performed.

To calculate the expected value of this game, we can consider the probability of winning at each stage and the associated payouts.

Since the coin is fair, the probability of getting a heads on the first flip is 1/2, and the payout would be 2^1 = $2. If you don't get a heads on the first flip, you have a 1/2 chance of getting a heads on the second flip, making the probability 1/2 * 1/2 = 1/4. The payout would be 2^2 = $4. We can continue this pattern for all possible outcomes.

The expected value can be calculated as the sum of the product of the probability of each outcome and its respective payout. So, the expected value (EV) would be:

EV = (1/2 * $2) + (1/4 * $4) + (1/8 * $8) + ...

This is an infinite geometric series with a common ratio of 1/2. To find the sum of an infinite geometric series, we can use the formula:

Sum = a / (1 - r),

where "a" is the first term and "r" is the common ratio. In this case, a = (1/2 * $2) = $1, and r = 1/2. Plugging these values into the formula, we get:

Sum = $1 / (1 - 1/2) = $1 / (1/2) = $2

Therefore, the expected value of this game is $2.

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Answer:

1 x=28

2 40

Step-by-step explanation:

(a) The critical values are x = -5 and x = 1

(b) The intervals are Increasing: -5 < x < 1 and Decreasing: -∝ < x < -5 and 1 < x < ∝

(c) The relative extrema are (-5, 0) and (1, 6)

Given that

\(f(x) = \frac{x^2 + 10x + 25}{x^2 + 5}\)

Differentiate the function

So, we have

\(f'(x) = -\frac{10(x^2 + 4x - 5)}{(x^2 + 5)^2}\)

Set to 0

So, we have

\(-\frac{10(x^2 + 4x - 5)}{(x^2 + 5)^2} = 0\)

This gives

x² + 4x - 5 = 0

When evaluated, we have

x = -5 and x = 1

So, the critical values are x = -5 and x = 1

Here, we simply plot the graph and write out the intervals

The graph is attached and the intervals are

The derivative of the function is calculated in (a), and the results are

x = -5 and x = 1

So, we have

\(f(-5) = \frac{(-5)^2 + 10(-5) + 25}{(-5)^2 + 5} = 0\)

\(f(1) = \frac{(1)^2 + 10(1) + 25}{(1)^2 + 5} = 6\)

This means that the relative extrema are (-5, 0) and (1, 6)

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