What is the primary reason that using nonexperimental data to
measure a treatment effect can be problematic?

To provide an example of an equivalence relation on {1, 2, 3, 4, 5, 6} with exactly four equivalence classes, we can list the ordered pairs that define the relation. The prime factorization of 11! (11 factorial) can be found by multiplying all the prime numbers up to 11. The greatest common divisor (GCD) of 32.73, 11, and 23.5.7 can be calculated by finding the largest number that divides all three values.

1. To find an example of an equivalence relation with exactly four equivalence classes on {1, 2, 3, 4, 5, 6}, we need to define a relation that satisfies the properties of reflexivity, symmetry, and transitivity. One possible example is the relation of congruence modulo 4. The ordered pairs that represent this equivalence relation are: {(1, 1), (2, 2), (3, 3), (4, 4), (5, 1), (6, 2)}. These ordered pairs indicate that elements 1 and 5 are in the same equivalence class, elements 2 and 6 are in the same equivalence class, and elements 3 and 4 are in their respective equivalence classes.

2. The prime factorization of 11! can be found by multiplying all the prime numbers up to 11. The prime numbers less than or equal to 11 are 2, 3, 5, 7, and 11. Therefore, the prime factorization of 11! is 2^8 × 3^4 × 5^2 × 7 × 11.

3. To find the greatest common divisor (GCD) of 32.73, 11, and 23.5.7, we can use the Euclidean algorithm. The GCD can be calculated by finding the largest number that divides all three values without leaving a remainder. In this case, the GCD is 1 since there are no common factors among the given values.

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Answer:

x=5.0

Step-by-step explanation:

First, figure out which trig function you are going to use.

In this problem you are dealing with the opposite side to the angle and the hypotenuse, and if you remember SOH CAH TOA, this requires sine.

sin (46) =opposite/hypotenuse

sin (46) =x/7

multiply both sides by 7 to get 7 * sin (46) = x

7 * sin (46) = 5.0

Hence x = 5.0

The area of a triangle with sides a = 20, b = 15, and c = 25 is 150.

The sides of the triangle are given as a = 20, b = 15, and c = 25.

We will use Hero's formula to find the area of this triangle.

It is a three-face polygon that consists of three edges and three vertices.

We use Heron's formula to find the area of a triangle with 3 sides:

Herons formula:

Area of a triangle =  \(\sqrt{s(s-a)(s-b)(s-c)}\\\)

Where a, b, and c are sides of a triangle.

And s = semi perimeter of a triangle.

s = \(\frac{a+b+c}{2}\)

If the sum of two sides of a triangle is greater than the third side of a triangle then the sides of a triangle are true.

Let the given sides be:

a = 20, b = 15 and c = 25.

(20 + 15) > 25

(20 + 25) > 15

(15 + 25) > 20 so the given sides are true.

Now,

Semi perimeter of the triangle:

s = (a+b+c) / 2

s = (20+15+25) / 2

s = 60 / 2

s = 30

Putting s = 30 in the area of the triangle.

we get,

Area of the triangle = \(\sqrt{s(s-a)(s-b)(s-c)}\\\)

Area of the triangle = \(\sqrt{30(30-20)(30-15)(30-25)}\\\\\sqrt{30\times10\times15\times5}\\\\\sqrt{22500}\\\\150\)

Thus, the area of a triangle is 150.

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Depending on whether a and b are real numbers, they can factor as (a + b) (a + b) or (a - b)(a - b). Forms like (a + b)(a - b) are unique products also known as the difference of squares.

When you square an integer, you get perfect squares. The number 81, for example, is a perfect square since it can be derived by squaring 9: 99=81. Because 12 can be squared to make 144, 144 is a perfect square. 13 may be squared to make 169, which is a perfect square. Mathematics-related language. Informally: When an integer (a "whole") number is multiplied by itself, whether the result is positive, negative, or zero, the result is referred to as a square number, a perfect square, or simply "a square." All square numbers are therefore 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

given

Perfect square trinomials, also referred to as trinomial squares, are the squares of binomial expressions.

Depending on whether a and b are real numbers, they can factor as (a + b)(a + b) or (a - b)(a - b). Forms like (a + b)(a - b) are unique products also known as the difference of squares.

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This equation x + (x + 1) + (x + 2) = negative 21 will be used.

Let the first Number is x.

We have to take 3 consecutive integers.

second Number is x+1

third Number is x+2.

Sum of these 3 consecutive integers is x+(x+1)+(x+2).

Sum of these 3 consecutive integers is given as negative21.

so we can write  x+(x+1)+(x+2)=negative 21.

by using above equation we can find the value of 3 numbers.

So the final equation will be x + (x + 1) + (x + 2) = negative 21.

Given Question is incomplete, Complete Question here:

Three consecutive integers have a sum of –21. Which equation can be used to find the value of the three numbers? x + x + x = negative 21 x + 2 x + 3 x = negative 21 x + (x + 1) + (x + 2) = negative 21 x + (x + 2) + (x + 4) = negative 21

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The minimum number of cards which must be drawn to get atleast 3 cards of aces is 4.

According to the given question.

We have a deck of cards.

As, we know that

The total numbers of cards in a deck = 52

Since, we have to find the minimum number of cards to be drawn so that we will get atleast 3 cards of aces.

As they have used atleast in the question so the cards can be more also so we have to reach at minimum number of cards to be drawn to guarantee atleast 3 cards of aces.

Number of suits in a  standard deck= 4 (Clubs, Hearts, Diamond,  Spades)

Number of aces in a suit = 1

We need atleast three cards of aces. Which means that we have 4*1 =4 cards from each suit.

Thereofre, the minimum number of cards which must be drawn to get atleast 3 cards of aces is 4.

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Answer:

52

Step-by-step explanation:

i just looked up 65% of 80

17

4 1/4's is a whole. 4x4+1

Step-by-step explanation:

ΔABC is similar to ΔFED.

AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.

Hence side AB corresponds to side FE.

CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.

Hence side CB corresponds to side DE.

Answer:

1.  EF in ΔFED corresponds to AB in ΔABC.

2. DE in ΔFED corresponds to CB in ΔABC.

3. The length of DF is 10.

Step-by-step explanation:

Given: ΔABC is similar to ΔFED. Find the length of DF.

To Find: The length of side DF in ΔFED

Since, ΔFED is a right-angled triangle and also similar to ΔABC,

Applying similarity of triangles principle,

AB = 4  ,  EF = 8

BC = 3  ,  DE = 6

Now, applying Pythagorean theorem on ΔFED,

Hypotenuse² = Length² + Base²

⇒ DF² = DE² + EF²

⇒ DF² = 6² + 8²

⇒ DF² = 100

⇒ DF = √100

⇒ DF = 10

Final Answer: Hence the length of side DF is 10.

Answer:

D

Step-by-step explanation:

Since x can be  bigger than -3, or equal to -3,the circle is closed,meaning both are included

The arrow should go to the right when is bigger than....

The descriptions that apply to a coordinate plane are:

a) Cartesian plane

b) Two-dimensional

d) Extends forever

e) Perpendicular axes.

The descriptions that apply to a coordinate plane are:

Cartesian plane: A coordinate plane is often referred to as a Cartesian plane, named after the mathematician René Descartes, who introduced the concept of using coordinates to represent points in space.

Two-dimensional: A coordinate plane is a two-dimensional space where points are represented using two perpendicular axes (usually labeled as x-axis and y-axis).

Extends forever: The coordinate plane extends infinitely in all directions along the x-axis and y-axis, allowing representation of points with arbitrary coordinates.

Perpendicular axes: The two axes in a coordinate plane are perpendicular to each other, intersecting at the origin (0, 0). The x-axis is horizontal, and the y-axis is vertical.

The description "Three-dimensional" does not apply to a coordinate plane. A coordinate plane is a two-dimensional space, and it does not have a third axis to represent points in three dimensions.

In a three-dimensional space, you would need an additional axis (usually labeled as z-axis) perpendicular to the x-axis and y-axis to represent points in three dimensions.

Hence, The descriptions that apply to a coordinate plane are:

a) Cartesian plane

b) Two-dimensional

d) Extends forever

e) Perpendicular axes.

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Answer:

Well then good luck with that woophi- I'm kidding, this is what I got! XD

Step-by-step explanation:

6 and 3/4

Hope this helped! :D

B

Step-by-step explanation:

Answer:

n+7

Step-by-step explanation:

T2-T1=7

therefore the nth term is n+7

a. The efficiency of Expedition Everest is approximately 87.8%.

b. The utilization of Expedition Everest is approximately 94.7%.

c.  The demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

To calculate the efficiency and utilization of Expedition Everest, we need to compare the actual number of riders with the design capacity and effective capacity.

Given:

Demand = 3,000 riders/hour

Average riders = 1,800 riders/hour

Design capacity = 2,050 riders/hour

Effective capacity = 1,900 riders/hour

a. Efficiency:

Efficiency is calculated as the average riders divided by the design capacity, multiplied by 100%.

Efficiency = (Average riders / Design capacity) * 100%

= (1,800 / 2,050) * 100%

≈ 87.8%

Therefore, the efficiency of Expedition Everest is approximately 87.8%.

b. Utilization:

Utilization is calculated as the average riders divided by the effective capacity, multiplied by 100%.

Utilization = (Average riders / Effective capacity) * 100%

= (1,800 / 1,900) * 100%

≈ 94.7%

Therefore, the utilization of Expedition Everest is approximately 94.7%.

c. Capacity Analysis:

To determine if the operation is overcapacity or undercapacity, we compare the demand with the effective capacity.

Demand > Effective capacity

3,000 > 1,900

Since the demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

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The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

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Answer:

-3/4

Step-by-step explanation:

slope = rise/run = y2-y1/x2-x1

Answer:

jhi

Step-by-step explanation:

Answer:

3f+7

Step-by-step explanation:

Answer:

The coordinates of b are (3, -5)

Step-by-step explanation:

\(c(1,-1)\)

\(a(-1,3)\)

\(1=\frac{-1+x}{2}\)

\(2=-1+x\)

\(x=2+1\)

\(x=3\)

\(-1=\frac{3+y}{2}\)

\(-2=3+y\)

\(y=-2-3\)

\(y=-5\)

Answer:

40

Step-by-step explanation:

\(45 + 0.4 \times x = 61 \\ 0.4 \times x = 61 - 45 \\ 0.4 \times x = 16 \\ x = 16 \div 0.4 \\ x = 40\)

Answer:

Value of stamp collection = (45b + 43) cents

Step-by-step explanation:

What we have here is as follows;

if there are x 3-cent stamps, then there are 4x 10-cent stamps

So the number of 2-cent stamps is 1 less than 3 cent stamps and that will be x-1 2 cent stamps

Number of 2 cents stamps = b

This means that x-1 = b

Thus, x = b + 1

So the value of the stamp collection is as follows;

x 3 cents stamps = 3(b+ 1) = 3b + 3 cents

4x 10 cents stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40

value of the 2 cents stamp = 2b cents

Total value is thus;

2b + 40b + 40 + 3b + 3 = (45b + 43) cents

Answer:

45b + 43 cents

Step-by-step explanation:

45b + 43 cents

The value of 4.62 times 3.78 equals 17.4828.

We have to find  4.62 times 3.78 in standard algorithm

To multiply 4.62 by 3.78 using the standard algorithm, follow these steps:

 4.62

x 3.78

------

 27756  (multiply 8 by 2)

+184368  (multiply 7 by 2, then 8 by 6, and add to the previous result)

-------

 17.4828  (the final answer)

Hence, the value of 4.62 times 3.78 equals 17.4828.

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Answer: d=2

Step-by-step explanation:

Given

5+2d=9

Subtract 5 on both sides

5+2d-5=9-5

2d=4

Divide 2 on both sides

2d/2=4/2

d=2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

False b=9

Step-by-step explanation:

In the equation 5b+45, b is equal to 9

The way we get this answer is by dividing each term by 5 and then simplifying

45/5

45/5=9

Hope this helps :)

It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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Answer:

The equation of the line is:

\(y=-3x+4\)

Please check the attached graph.

Step-by-step explanation:

x                        y

-1                       7

2                       -2

7                       -17

10                     -26

Taking two points (-1, 7) and (2, -2) to find the slope

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-1,\:7\right),\:\left(x_2,\:y_2\right)=\left(2,\:-2\right)\)

\(m=\frac{-2-7}{2-\left(-1\right)}\)

Refine

\(m=-3\)

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -3 and the point (-1, 7)

\(y-7=-3\left(x-\left(-1\right)\right)\)

\(y-7=-3\left(x+1\right)\)

Add 7 to both sides

\(y-7+7=-3\left(x+1\right)+7\)

Simplify

\(y=-3x+4\)

Therefore, the equation of the line is:

\(y=-3x+4\)

Please check the attached graph.

Answer:

Step-by-step explanation:

To find a missing numerator, look at the denominators of the fractions. One fraction has both a numerator and denominator. Find the number that this denominator is multiplied by to get to the denominator that is missing its numerator. Multiply the known numerator by this number to find the unknown numerator.