how do I define the theorem on this question?

The "correct" statement is that the odds ratio appears statistically significant when the whole 95% confidence interval is much less than 1.

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values a predetermined percentage of the time.

Thus, the "correct" statement is that the odds ratio appears statistically significant when the whole 95% confidence interval is much less than 1.

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Answer:

-(10/7)

Step-by-step explanation:

See attached graphic. The slope of the Green Line is cut off in the problem photo, but can be calculated from the graph to find the slope of the Red Line. The answer options are on drugs; pick the one that looks closest.

Answer:

-4/3

Step-by-step explanation:

Answer:

ddddddddddddddddddddddddddddc

Step-by-step explanation:

cccccccccc

1. plug in the values

3(2) - (-1) = 7; true

2(2) + 3(-1) = 1

4 -3 = 1; true

yes, the point is true for the system. .

2.

the solution is referring to where both the lines intercept on the graph.

3. replace 'y' in the first equation with the second equation

3x + 6x + 1 = 10

9x + 1 = 10

9x = 9

x = 1

plug x = 1

y = 6(1) + 1

y = 7

(1,7)

4. elimiate the common terms which is 'n' which gives;

5m = -5

m = -1

plug in to find 'y' AKA 'n'

3(-1) - n = 2

-3 - n = 2

-n = 5

n = -5

I can futher explain if you'd like, let me know.

When b is 3, the value of the expression \(2b^3 + 5\) is 59.

To evaluate the expression\(2b^3 + 5\) when b is 3, we substitute the value of b into the expression and perform the necessary calculations.

Given that b = 3, we substitute this value into the expression:

\(2(3)^3 + 5\)

First, we evaluate the exponent, which is 3 raised to the power of 3:

2(27) + 5

Next, we perform the multiplication:

54 + 5

Finally, we add the two terms:

59

Therefore, when b is 3, the value of the expression \(2b^3 + 5\) is 59.

In summary, by substituting b = 3 into the expression \(2b^3 + 5\), we find that the value of the expression is 59.

It's important to note that the provided equation has multiple possible solutions for x, but when b is specifically given as 3, the value of x is approximately 3.78.

It's important to note that in this equation, we substituted the value of b and solved for x, resulting in a specific value for x. However, if we wanted to solve for b given a specific value of x, we would follow the same steps but rearrange the equation accordingly.

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First take Question 1 :

See image  of Graphic Transformation

Take Question 2 :

Rotation, translation and reflection are all examples of transformations  A transformation is a way by which the size or position of a shape is changed.

Rotation :

Rotation turns a shape around a fixed point called the center of rotation.

Translation :

A translation moves a shape left, right, up or down.

Every point on the original shape is translated (moved) the same distance in the same direction.

Reflection :

A shape can be reflected across a line of reflection.

Every point on the reflected shape is the same distance from the line of reflection as the corresponding points on the original shape.

The lines joining the points on the original shape and the corresponding points on the reflected shape are perpendicular to the line of reflection.

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Out of 52 cards, there is only one Queen of Hearts. Hence, then, the probability = 47/52

5 cards can be chosen from a deck of 52 cards in ⁵²C₅

In order to avoid choosing a queen of hearts, we must choose 5 cards. There is only one queen of hearts in a deck of 52 cards. There are still 51 cards left, and 5 of them can be chosen in ⁵²C₅.

Therefore, the likelihood that a five-card poker hand does not include the queen of hearts is equal to ⁵¹C₅/⁵²C₅

47/52

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The full question

What is the probability that a five-card poker hand does not contain the queen of hearts?

Answer:

Sides = 8 each and base = 6

Step-by-step explanation:

Let congruent legs = x, then the base is x - 2 so,

P = x + x + (x - 2)

22 = 3x - 2

24 = 3x

8 = x (sides)

base = 8 - 2 = 6

Answer:

580 cm^2

Step-by-step explanation:

H = Height

L = length

W = width

2(HL)+2(WH)+2(WL)

= 2(20*10)+2(3*20)+2(3*10)

= 2(200)+2(60)+2(30)

= 400+120+60

= 580

According to the question we have our assumption must be false and there are indeed infinitely many primes of the form 4k+3.

To prove that there are infinitely many primes of the form 4k+3, where k is a nonnegative integer, we can use a proof by contradiction. Assume that there are only finitely many primes of this form, say p1, p2, p3, ..., pn.

Consider the number N = 4(p1p2p3...pn) - 1. This number is of the form 4k+3, since the product of primes is also of this form.

Now, any prime factor of N must also be of the form 4k+3, since any prime factor of N cannot be 2 (since N is odd) and it cannot be of the form 4k+1 (since N leaves a remainder of 3 when divided by 4).

However, this contradicts our assumption that p1, p2, p3, ..., pn are the only primes of the form 4k+3, since N is a prime greater than pn and is also of this form.

Therefore, our assumption must be false and there are indeed infinitely many primes of the form 4k+3.

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a] 2, 3, 5, 7, 11

b] 1, 2, 3

c] 1, 2, 3, 4, 5

d] 1, 4, 9, 16, 25

e] 1, 2, 3, 5, 6, 10, 15, 30

f] Prime factors of 27 are 3 and 3 and 3, which can be written as 3^3.

Answer:

The answer for the question is

a)2,3,5,7,11

b)1,2,3

c)1,2,3,4,5

d)1,4,9,16,25

e)1,2,3,5,6,10,15,30

e)3

The value of the expression according to the order of operations is -11. Thus option D is correct.

According to the statement

We have to find that the value of the given expression.

So, For this purpose, we know that the

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression.

From the given information:

The expression are :

(-2)-3-6

Now solve it with the order then

(-2)-3-6 = (-2)-3-6

(-2)-3-6 = -2-3-6

Now add the first two terms

then

(-2)-3-6 = -5-6

Now, Add next two terms

Then

(-2)-3-6 = -11.

The value becomes -11.

So, The value of the expression according to the order of operations is -11. Thus option D is correct.

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Answer:

\(4\)

Step-by-step explanation:

Simplify the expression

Answer:

The answer to your problem is, $0.60

Step-by-step explanation:

1 banana and 1 orange = 1.20.

We divide next:

1.20 / 2 = 0.60.

We know that because in the question it says one banana and one orange is 1.20. Next we divide because two items are sharing the same number.

1.20 / 2 = ? ( ? = 0.60 or 0.6 )

Thus the answer to our problem is, $0.60

The expected value of the product XY, where X follows a Poisson distribution with parameter 2 and Y follows a Geometric distribution with parameter 1/3, is 6.

To compute the expected value of the product XY, where X and Y are independent random variables with specific distributions, we need to use the properties of expected values and the independence of X and Y.

Given that X follows a Poisson distribution with parameter λ = 2 and Y follows a Geometric distribution with parameter p = 1/3, we can start by calculating the individual expected values of X and Y.

The expected value (E) of a Poisson-distributed random variable X with parameter λ is given by E(X) = λ. Therefore, E(X) = 2.

The expected value (E) of a Geometric-distributed random variable Y with parameter p is given by E(Y) = 1/p. Therefore, E(Y) = 1/(1/3) = 3.

Since X and Y are independent, we can use the property that the expected value of the product of independent random variables is equal to the product of their individual expected values. Hence, E(XY) = E(X) * E(Y).

Substituting the calculated values, we have E(XY) = 2 * 3 = 6.

Therefore, the expected value of the product XY is 6.

To provide some intuition behind this result, we can interpret it in terms of the underlying distributions. The Poisson distribution models the number of events occurring in a fixed interval of time or space, while the Geometric distribution models the number of trials needed to achieve the first success in a sequence of independent trials.

In this context, the product XY represents the joint outcome of the number of events in the Poisson process (X) and the number of trials needed to achieve the first success (Y) in the Geometric process. The expected value E(XY) = 6 indicates that, on average, the combined result of these two processes is 6.

It's worth noting that the independence assumption is crucial for calculating the expected value in this manner. If X and Y were dependent, the calculation would involve considering their joint distribution or conditional expectations.

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The role of asymmetric information in lending involves two key aspects: adverse selection and moral hazard.

The role of asymmetric information in lending involves two key aspects: adverse selection and moral hazard. Asymmetric information occurs when one party in a transaction has more or better information than the other party, which can lead to inefficiencies in the market.

In the context of lending, asymmetric information exists when borrowers have more information about their financial situation and ability to repay loans than lenders do. This can result in two main problems:

1. Adverse selection: This occurs before the lending transaction takes place. Due to asymmetric information, lenders may not be able to accurately assess the creditworthiness of borrowers.

High-risk borrowers may be more likely to seek loans because they need the funds, while low-risk borrowers may be discouraged by the higher interest rates resulting from the perceived risk. This can lead to a higher proportion of high-risk borrowers in the lending market, potentially increasing default rates.

2. Moral hazard: This occurs after the lending transaction has taken place. Once borrowers receive the loan, they may engage in riskier behavior than they would have if they had not received the loan, as they have less to lose. This can also lead to higher default rates, as borrowers may be more likely to default on their loans due to increased risk-taking.

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I have like 27 missing assignments

Overall, the graphs would differ in their rate of growth or decay and damping, with the k2 > k1 case exhibiting faster growth or decay and damping.

An equation is a mathematical statement that shows that two expressions are equal. It typically contains variables, constants, and mathematical operators (such as +, -, *, /) and can be solved to determine the values of the variables that make the equation true. Equations are used extensively in mathematics, science, engineering, and other fields to model relationships between quantities and make predictions about their behavior. Some common types of equations include linear equations, quadratic equations, and differential equations.

Here,

The damped equation with terms e2k1t and e2k2t can be written as:

y(t) = Aeⁿ₁⁺ⁿ₂*ˣ + Beⁿ₁⁻ⁿ₂*ˣ

where A and B are constants.

The graph of this function would have an initial exponential growth or decay phase determined by the sign of (k1 + k2), followed by a damping effect determined by the sign of (k1 - k2).

If k2 > k1, then (k1 + k2) is positive, which means that the initial phase of the function would have a faster growth or decay than the case where k2 < k1. The damping effect would also be faster, since (k1 - k2) would be negative, causing the exponential terms to decay more rapidly.

In other words, if k2 > k1, the function would approach zero more quickly and the oscillations would be damped out faster compared to the case where k2 < k1. The amplitude of the oscillations would also be smaller in the k2 > k1 case.

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Through the inventions of people throughout history, our everyday life has been revolutionized. For example, the lightbulb by Thomas Edison has made our lives easier because we no longer need to use candles as a main light source. Thomas Edison also invent the phonograph, which was one of the earliest inventions that revolutionized entertain in our modern time.

Step-by-step explanation:

Answer:

Yes they are congruent

Option B is correct

Step-by-step explanation:

Opisite sides of parallelogram are congurent so,

BA is congruent to CD (side)

And

BE I congruent to ED (Side)

AE is congruent to EC (Side)

So according to side-side-side congurence theorem triangle ABE is congruent to triangle CDE

Hope you understand :)

Answer:

-9.28%

Step-by-step explanation:

Subtract the prior accounting period's profit from the current accounting period's profit. The result gives you the numerical change in profit.

970000-880000= 90000

90000 in percentage = -9.28%

Answer:

-9.28%

Step-by-step explanation:

Subtract the prior accounting period's profit from the current accounting period's profit. The result gives you the numerical change in profit.

970000-880000= 90000

90000 in percentage = -9.28

Answer:

6 3/4

Step-by-step explanation:

3 3/8 * 2 = 6 3/4

The dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 5x² + 180y² = 180 are length = 6 and width = 2/√5.

To find the dimensions of the rectangle of maximum area, we need to first understand the properties of the ellipse and the inscribed rectangle.

The equation of the given ellipse is 5x² + 180y² = 180. This can be written as x²/36 + y²/1 = 1, which shows that the ellipse has its center at the origin and its semi-axes are a = 6 and b = 1.

Let the length of the rectangle be 2x and the width be 2y. We need to find the values of x and y that maximize the area of the rectangle, subject to the constraint that it is inscribed in the ellipse.

Since the sides of the rectangle are parallel to the coordinate axes, its vertices lie on the ellipse and the coordinates of the vertices are (±x, ±y). The area of the rectangle is then A = 4xy.

Using the equation of the ellipse, we have 5x² + 180y² = 180. Solving for y, we get y = √(1 - x²/36)/√5. Substituting this in the expression for the area, we get A = 4x√(1 - x²/36)/√5.

To maximize the area, we need to find the value of x that makes dA/dx = 0. Taking the derivative, we get dA/dx = (4/√5)(3x² - 36)/(2√(36 - x²)). Setting this equal to zero, we get 3x² - 36 = 0, which gives x = ±6/√3 = ±2√3.

To determine which value of x maximizes the area, we need to check the sign of the second derivative of A with respect to x. Taking the second derivative, we get d²A/dx² = (12/√5)(9 - x²)/(4(36 - x²)^(3/2)). Since x = ±2√3 are the only critical points, we evaluate the second derivative at these points.

d²A/dx²(2√3) = -27/(4√5) < 0, which means x = 2√3 is a local maximum.

d²A/dx²(-2√3) = 27/(4√5) > 0, which means x = -2√3 is a local minimum.

Therefore, the maximum area occurs when x = 2√3. Substituting this value in the expression for y, we get y = 2/√5. Thus, the dimensions of the rectangle of maximum area are length = 2x = 2(2√3) = 4√3, and width = 2y = 2(2/√5) = 4/√5. Simplifying the width, we get width = 2/√5.

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Given that ST = RT and PS and QR are produced to meet at T, the

congruency of the angles and the included side proves;

The given parameters are;

The given cyclic quadrilateral = PQRS

The produced side that meet at point T = PS and QR

ST = RT

Required:

To prove that PRS = QRS

Solution:

A two column proof is presented as follows;

Statement        \({}\)                               Reason

1. ST = RT        \({}\)                                 1. Given

2. ΔSRT is an isosceles triangle  \({}\)  2. Definition of isosceles triangle

3. ∠TSR ≅ ∠TRS     \({}\)                        3. Base angles of an isosceles triangle

4. ∠TSR = ∠TRS      \({}\)                        4. Definition of congruency

5. ∠TSR and ∠PSR, ∠TRS and ∠QRS are linear pair angles 5. Definition of linear pair angles

6. ∠TSR + ∠PSR = 180° and ∠TRS +∠QRS = 180°   6. Property of linear pair angles

7. ∠TSR + ∠PSR = ∠TRS +∠QRS,     7. Substitution property of equality

8. ∠PSR = ∠QRS      \({}\)                         8. Subtraction property of equality

9. ∠RQS in ΔRQS = ∠SPR in ΔSPR \({}\)                              9. Angle subtending the same arc formed at the circumference of a circle

10. ΔPRS ≅ ΔQRS           \({}\)                        10. By ASA rule of congruency

The Angle-Side-Angle rule of congruency states that if two angles and

an included side of one triangle are congruent to two angles and the

included side of another triangle, then the two triangles are congruent.

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Answer:

70

Step-by-step explanation:

Answer:

7 out of 28

Step-by-step explanation:

Answer:

33

go to sleep :)

To build the wall in 10 days, we would need 40 workers.

To solve this problem, we can use the concept of man-days, which represents the total amount of work done by a worker in a day. Let's denote the number of workers needed to build the wall in 10 days as N.

Given that 16 workers can build the wall in 25 days, we can calculate the total man-days required to build the wall using the formula:

Total man-days = Number of workers × Number of days

For the first case, with 16 workers and 25 days:

Total man-days = 16 workers × 25 days = 400 man-days

Now, let's consider the second case, where we need to determine the number of workers required to build the wall in 10 days:

Total man-days = N workers × 10 days

Since the amount of work to be done (total man-days) remains the same, we can equate the two equations:

400 man-days = N workers × 10 days

To find the value of N, we rearrange the equation:

N workers = 400 man-days / 10 days

N workers = 40 workers

Therefore, to build the wall in 10 days, we would need 40 workers.

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Answer:

(x -3)² + (y - 2)² = 4

Step-by-step explanation:

Equation of circle:

     (x - h)² + (y - k)² = r²

Here, (h,k) is the center of the circle and r is the radius of the circle.

(h, k) = (3 , 2) and r = 2

From the graph, the perpendicular distance from the point (3,0) at x-axis to the center gives the radius.

   (x - 3)² + (y -2)² = 2²

   (x - 3)² + (y -2)² = 4