Consider this complex fraction.
10|3|2|3

The most appropriate procedure from the given options that would improve the reliability and validity of grading short essay tests, thus addressing the complaint of sensitivity to bias and variability in grading, is: D) Using a scoring rubric.

A scoring rubric is a predefined set of criteria or guidelines that outlines the specific expectations and standards for evaluating student responses. By using a scoring rubric, the grading process becomes more objective, consistent, and transparent, thereby reducing bias and variability in grading.

A scoring rubric provides a structured framework that allows graders to assess and assign scores based on predetermined criteria, such as content knowledge, organization, clarity, coherence, and grammar. It ensures that all essays are evaluated using the same standards and eliminates subjective judgment as much as possible.

Administering more pretests (option A) may provide additional practice or feedback to students but does not directly address the issue of bias and variability in grading.

Grading on the curve (option B) adjusts grades based on the performance of other students in the class, which does not directly address bias or variability in grading. It can introduce its own set of issues and may not reflect the true quality of each individual student's work.

Implementing a contract system (option C) refers to a negotiated agreement between students and instructors regarding grading criteria, which may help clarify expectations but does not inherently address bias or variability.

Therefore, using a scoring rubric (option D) is the most appropriate procedure to improve the reliability and validity of grading short essay tests while minimizing sensitivity to bias and variability in grading.

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Answer:

x = 10

Step-by-step explanation:

To solve for x, we need to get x by itself.

Whatever we do to one side, we do it to the other side to keep it balanced.

3x + 15 = 45

     - 15 = -15       (Subtract 15 from both sides)

3x        =   30               (Divide both sides by 3)

3          =    3

x = 10

Answer:

It was a little blurry but I think it might be B? Plz mark as brainliest if correct, thanks!

Answer:

41, 43, and 47

Step-by-step explanation:

The numbers between 40 and 50 are:

41, 42, 43, 44, 45, 46, 47, 48, and 49

Prime numbers are numbers that have only 2 factors, 1 and themselves.

So from the numbers above we are now able to find the prime numbers.

1 * 41 = 41

1 * 43 = 43

1* 47 = 47

41, 43, and 47 have only 2 factors, 1 and themselves.

Hope this helps!!

Answer:

(3,2)

Step-by-step explanation:

Just took the test

The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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Based on the percentage of those who love running and those who don't,  the total percentage of the athletes who do not enjoy cycling is 24.5%.

The percentage who don't enjoy cycling are:

= Percentage who enjoy running and but not cycling + Percentage who don't enjoy running or cycling

Solving gives:

= ((1 - 70%) x 45%) + ( (1 - 45%) x (1 - 80%))

= (30 % x 45%) + (55% x 20%)

= 24.5%

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Answer:

The funding for those services typically comes from three key areas: property taxes, sales taxes, and income taxes. States without a personal income tax might ask residents and visitors to pay more sales tax on groceries, clothes, and other goods, as is the case in Washington.

Answer:18/35

Step-by-step explanation: 6*3 = 18

7*5 = 35

18 /35

Answer: 18/35

Step-by-step explanation:

6*3=18

7*5=35

18/35

Answer:

\(\frac{4}{25}\)

Step-by-step explanation:

Given expression:

          \(-\frac{1s }{20r}\)  

   r  = \(-\frac{1}{4}\) , s = \(\frac{4}{5}\)

Now;

     \(-\frac{1s }{20r}\)    = \(-\frac{s}{20r}\)

              Insert the parameters:

                = \(-\frac{\frac{4}{5} }{20 x (-\frac{1}{4} )}\)  

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

              -x - = +

                = \(\frac{4}{5}\) x \(\frac{1}{5}\)

                = \(\frac{4}{25}\)

Answer:

x= -2; y= -2

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, and therefore we can make two observations:

9=-9x-9
19=-10y-1

Then we can just solve each of the equations to get x and y:

9 = -9x - 9
+ 9       +9

18=-9x

----------
-9

-2=x

19=-10y-1
+1        +1

20=-10y
------------

-10

-2=y

Answer:

25.

Step-by-step explanation:

FGH-G = 3x5x2 - 5 = 30 -5 =25.

Answer:

13.7 units squared

Step-by-step explanation:

Diameter of semicircle d = 6 units.

Therefore, radius of semicircle r = 6/2 = 3 units

Area of the figure = Area of rectangle - 2 times area of semicircle

\( = 7 \times 6 - 2 \times \frac{1}{2} \pi {r}^{2} \\ \\ = 42 - 3.14 \times {3}^{2} \\ \\ = 42 - 3.14 \times 9 \\ \\ = 42 - 28.26 \\ \\=13.74\\\\ \approx 13.7 \: {units}^{2} \\ \)

Answer: it is b

Step-by-step explanation:

The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:

(Line segment PR)/2 = (Line segment SQ)/2

Line segment PR = Line segment SQ

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Answer:

v = 27,000 mm³

Step-by-step explanation:

v = s³

v = 30³

v = 27,000 mm³

Answer:

Step-by-step explanation:

t + u = 11 ----------- (1 )

10t + u = 10u + t - 9

10t + u - 10u - t = -9

10t - t + u - 10u = - 9

Combine like terms

9t - 9u = -9

Divide the entire equation by 9

\(\dfrac{9}{9}t-\dfrac{9}{9}u=\dfrac{-9}{9}\)

t - u = -1  --------------(2)

Add equation (1) & (2) and so, u will be eliminated and we can find the value of t

(1)       t + u = 11

(2)      t  - u = -1

         2t     = 10

               t = 10/2

t = 5

Plugin t = 5 in equation (1)

5 + u = 11

    u = 11 - 5

u = 6

The original number is 56

Answer:

x = -4 and y = 0

Step-by-step explanation:

We can solve the system of equations by substitution or elimination. Here, we will use the substitution method.

First, we will solve for y in the first equation:

y = -16 - 4x

Next, we will substitute this expression for y into the second equation:

2x - 3y = -8

2x - 3(-16 - 4x) = -8

2x + 48 + 12x = -8

14x = -56

x = -4

Now that we have found the value of x, we can substitute it back into the first equation to solve for y:

y = -16 - 4x

y = -16 - 4(-4)

y = -16 + 16

y = 0

Therefore, the solution to the system of equations is x = -4 and y = 0.

Answer:

(- 4, 0 )

Step-by-step explanation:

4x + y = - 16 → (1)

2x - 3y = - 8 → (2)

multiplying (1) by 3 and adding to (2) will eliminate y

12x + 3y = - 48 → (3)

add (2) and (3) term by term to eliminate y

(2x + 12x) + (- 3y + 3y) = - 8 - 48

14x + 0 = - 56

14x = - 56 ( divide both sides by 14 )

x = - 4

substitute x = - 4 into either of the 2 equations and solve for x

substituting into (1)

4(- 4) + y = - 16

- 16 + y = - 16 ( add 16 to both sides )

y = 0

solution is (- 4, 0 )

Answer:

To convert 2 Bigha into Kattha:

If 1 Bigha = 20 Kattha:

2 Bigha = 2 * 20 Kattha = 40 Kattha

If 1 Bigha = 16 Kattha:

2 Bigha = 2 * 16 Kattha = 32 Kattha

Answer:

4.72500

Step-by-step explanation:

Answer:

6.75% of 70 is 4.725.

Step-by-step explanation:

6.75% as a decimal is 0.0675.

70 × 0.0675 = x

4.725 = x

6.75% of 70 is 4.725.

Codes consisting of exactly one codeword, such as the zero vector in the case of linear codes, are considered perfect because they meet the necessary conditions for perfect codes.

A code is said to be perfect if it achieves the optimal trade-off between error detection and error correction capabilities. For a code to be perfect, it must satisfy two conditions: 1) every possible message can be uniquely decoded, and 2) the number of codewords within a certain Hamming distance from any message is maximized.

When a code consists of exactly one codeword, such as the zero vector, it trivially satisfies the first condition since there is only one possible message and codeword pair. As a result, it can be uniquely decoded without any ambiguity.

Regarding the second condition, since there is only one codeword, there can be no other codewords within any Hamming distance from the message. This means that the number of codewords within any specified distance is minimized, which is the best possible scenario according to the definition of a perfect code.

Therefore, codes consisting of exactly one codeword, like the zero vector in linear codes, are considered perfect because they fulfill both necessary conditions for perfect codes: unique decodability and maximized minimum distance.

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Answer:

The distrubative property of 90 and 75 is 10

Step-by-step explanation:

Hope this helps :D

So, the simpler form of the radical expression 4 sqrt 1296 x^16y^12 is 144x^14y^14 sqrt (x) sqrt (y).

To simplify the radical expression 4 sqrt 1296 x^16y^12, we need to first factor the number inside the radical. 1296 can be factored into 36 x 36, which simplifies to 6^4. So, the expression becomes 4 sqrt (6^4 x^16y^12).
Next, we can simplify the expression further by using the property of exponents that says a^m x a^n = a^(m+n). This means that we can combine the exponents of x and y, which gives us 4 sqrt (6^4 x^(16+12) y^(12+16)). Simplifying this, we get 4 sqrt (6^4 x^28 y^28).
Now, we can simplify the radical expression even further by using the property that says sqrt (a x b) = sqrt (a) x sqrt (b). Applying this to our expression, we get 4 x 6^2 x sqrt (x^28) x sqrt (y^28). Simplifying this further, we get 144x^14y^14 sqrt (x) sqrt (y).
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Answer:

The right answer is:

Option OB: f(1) = -9

Common difference: 7

Step-by-step explanation:

Given sequence is:

-9, -2, 5, 12,...

Here the first number is f(1)

Common Difference:

Common difference is the difference between consecutive terms of an arithmetic sequence. It is denoted by d.

In the given sequence,

f(1) = -9

f(2) = -2

f(3) = 5

\(d=f(2)-f(1) = -2-(-9) = -2+9 = 7\\d = f(3)-f(2) = 5-(-2) = 5+2 = 7\)

Hence,

The right answer is:

Option OB: f(1) = -9

Common difference: 7

Answer:

Answer:

The right answer is:

Option OB: f(1) = -9

Common difference: 7

Step-by-step explanation:

Given sequence is:

-9, -2, 5, 12,...

Here the first number is f(1)

Common Difference:

Common difference is the difference between consecutive terms of an arithmetic sequence. It is denoted by d.

In the given sequence,

f(1) = -9

f(2) = -2

f(3) = 5

\(\begin{gathered}d=f(2)-f(1) = -2-(-9) = -2+9 = 7\\d = f(3)-f(2) = 5-(-2) = 5+2 = 7\end{gathered} \)

d=f(2)−f(1)=−2−(−9)=−2+9=7

d=f(3)−f(2)=5−(−2)=5+2=7

Hence,

The right answer is:

Option OB: f(1) = -9

Common difference: 7

Considering the vertex of a quadratic equation, the greatest rectangular area that the farmer can enclose with 100 m is of 625 m².

A quadratic equation is modeled by the rule presented as follows:

y = ax^2 + bx + c

The vertex has these following coordinates.

\((x_v, y_v)\)

In which:

Considering the coefficient a, we have that the vertex can represent either a maximum or a minimum point in the function, as follows::

In this problem, the coefficients of the quadratic equation representing the area are given as follows:

a = -1, b = 50.

The greatest rectangular area that the farmer can enclose with 100 m is the y-coordinate of the vertex of the quadratic equation, hence:

\(y_v = -\frac{50^2 - 4(-1)(0)}{4(-1)} = 625\)

The area is of 625 m².

The quadratic equation for the area is:

A(w) = -w² + 50w

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Answer:

625

explanation:

trust

Given that the number of angry people=12 and the number of chill peoples=8.

The total number of peoples=The number of angry people + the number of chill people.

The total number of people in juries=12+8=20

Let A be an event that made 12 members of juries consists of 7 chill and 5 angry people.

The probability of A =P(A)

Hence only one 12 member jury pool can be made that consist of 7 chill and 5 angry people.

Hence the answer is 1.

The sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)

We have:

First expression:

\(\rm 4x^2-4x+10\)

Second expression:

\(\rm 2x^2+5x-8\)

Let's denote the sum of these two expressions with F(x)

\(\rm F(x) = \rm 4x^2-4x+10+\rm 2x^2+5x-8\\\\\\\rm F(x) = 6x^2+x+2\)

Thus, the sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.

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The location of the points on Cartesian plane are listed below:

Figure 1: A(x, y) = (0, 4), B(x, y) = (5, 0)

Figure 2: A(x, y) = (8.5, 4), B(x, y) = (2.5, 1.5)

A point on a Cartesian plane can be represented by rectangular system of coordinates with the form:

(x, y)

Where:

Now we proceed to represent each point:

Figure 1: A(x, y) = (0, 4), B(x, y) = (5, 0)

Figure 2: A(x, y) = (8.5, 4), B(x, y) = (2.5, 1.5)

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