Grading on the curve implies what type of evaluation comparison?
Which of the following is a semiobjective item?
true false
matching
essay
short-answer
Answers
Grading on the curve implies a relative evaluation comparison, where the performance of students is ranked and graded based on their position relative to the rest of the class. Among the given options, the semiobjective item is "matching."
How to explain the informationA matching item typically involves matching items from one column with items in another column based on their relationship or similarity. While there may be some subjectivity involved in determining the correct matches, it usually allows for a more objective evaluation compared to essay or short-answer questions, which can be more open-ended and subjective in nature.
The options "true" and "false" are objective items that typically involve selecting the correct statement among the two provided choices.
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Related Questions
The complex numbers $z_1$ and $z_2$ are such that $|z_1| = 5,$ $|z_2| = 13,$ and
\[13z_1 - 5z_2 = 27 - 99i.\]find $z_1 z_2.$
Answers
By applying knowledge on complex analysis, the complex numbers that satisfy the three conditions defined in the statement are z₁ = 4 - i 3 and z₂ = 5 + i 12.
How to determine two complex numbers based on their norms and a given operation
In this question we must derive two complex numbers such that the following conditions are fulfilled:
a² + b² = 5² (1)
c² + d² = 13² (2)
13 · (a + i b) - 5 · (c + i d) = 27 - i 99 (3)
If we assume that a, b, c, d are integers, then we can suppose that (a, b) = (4, -3) and (c, d) = (5, 12) and we check if these values satisfy (3):
13 · (4 - i 3) - 5 · (5 + i 12)
52 - i 39 - 25 - i 60
27 - i 99
By applying knowledge on complex analysis, the complex numbers that satisfy the three conditions defined in the statement are z₁ = 4 - i 3 and z₂ = 5 + i 12.
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Find the value of F, correct to two decimal places
Answers
Answer:
F = 12.14 m
Step-by-step explanation:
F is the side opposite the given 36° angle and the given side length, 15m is adjacent. It's a cosine equation that's needed.
find the cosine of 36°
(calculator necessary)
cos(36) = 0.8090169944
We should be safe to round that to .809 for this.
cos = opp/adj
Substitute what we know:
.809 = F/15 Multiply both sides by 15
.809(15) = F
12.135 = F Round to two places.
Side F is 12.14m
Find the missing side of each triangle
Answers
Answer:
B) x = √118 mi
Step-by-step explanation:
This is a right triangle, so we can the measure of x using the Pythagorean theorem, which is
a^2 + b^2 = c^2, where
a and b are the shorter legs,and c is the hypotenuse (longest side opposite the right angleIn the figure, the sides measuring x mi and √26 mi are the legs, so we plug these in for a and b in the theorem,and the side measuring 12 mi is the hypotenuse, so we plug it in for c in the theorem:Step 1: Plug in x and √26 for a and b and 12 for c and simplify:
x^2 + (√26)^2 = 12^2
x^2 + 26 = 144
Step 2: Subtract 26 from both sides to isolate x^2:
(x^2 + 26 = 144) - 26
x^2 = 118
Step 3: Take the square root of both sides to isolate x:
√(x^2) = √118
x = √118 mi
Will someone explain how to solve this?
Answers
Answer: ima try
Step-by-step explanation: how i always do it is the second number (-2) you start for the mid point (0,0) if its -2 go down 2 if it 2 go up 2 if its 0 stay there then you go to the first number(2/3) from where you landed thats now the new start point then you go (x,y) in this equation its (2/3) so go up 2 right three but watch out for the negatives. so if it was -2/3 you would go down 2 then right 3
i hoped this helped its hard to explain but I tried
Compute the Taylor polynomial T5(x) and use the Error Bound to find the maximum possible size of the error. f(x) cos(x), a = 0, x = 0.1
Answers
The Taylor polynomial T₅(x) is 0.99500416 and by use the Error Bound the maximum possible size of the error is 49943.1 × 10⁻⁷.
What is Taylor Series?
The Taylor series or Taylor expansion of a function in mathematics is the infinite sum of terms represented in terms of the function's derivatives at one particular point. The function and the sum of its Taylor series are roughly equivalent for the majority of typical functions at this point.
Taylor series or Taylor expansion:
Infinity ∑ (n = 0) fⁿ(a)/n! (x - a)ⁿ
Where,
n! = factorial of n
a = real or complex number
fⁿ(a) = nth derivative of function f evaluated at the point a.
As given function is,
f(x) = cosx, a = 0, x = 0.1
Taylor polynomial of degree 'n' for f(x) center a,
Tₙ(x) = f(a) + f'(a)(x - a) + f''(a)/2 (x - a)² + f'''(a)/3 (x - a)³ + ......+ fⁿ⁻¹(a)/(n - 1)! (x - a)ⁿ⁻¹ + fⁿ(a)/n! (x - a)ⁿ
Evaluate values as follows:
f(x) = cosx ⇒ f(0) = 1
f'(x) = -sinx ⇒ f'(0) = 0
f''(x) = -cosx ⇒ f''(0) = -1
f'''(x) = sinx ⇒ f'''(0) = 0
f⁴(x) = cosx ⇒ f⁴(0) = 1
f⁵(x) = -sinx ⇒ f⁵(0) = 0
Substitute obtained values in Taylor series,
T₅(x) = 1 + (0) (x - 0) + (-1)/2 (x - 0)² + 0 + 1/24(x - 0)⁴ + 0
T₅(x) = 1 -1/2x² + 1/24x⁴
At x = 0.1
T₅(0.1) = 1 -1/2(0.1)² + 1/24(0.1)⁴
T₅(0.1) = 1 - 0.005 + 4.16 × 10⁻⁶
T₅(0.1) = 0.99500416
Hence, the Taylor polynomial T₅(x) is 0.99500416.
Evaluate the maximum possible size of the error:
cos(0.1) = 0.99999847
T₅(0.1) = 0.99500416
Icos(0.1) - T₅(0.1)I = 0.99999847 - 0.99500416
Icos(0.1) - T₅(0.1)I = 0.00499431
Icos(0.1) - T₅(0.1)I = 49943.1 × 10⁻⁷.
Hence, the Error Bound the maximum possible size of the error is 49943.1 × 10⁻⁷.
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Find the area of the triangle below.Carry your intermediate computations to at least four decimal places. Round your answer to the nearest hundredth.12m 7 m 33
Answers
Answer;
22.88m
Explanation
The formula for finding the area of the trinagle is expressed as;
\(A\text{ = }\frac{1}{2}ab\text{ sin}\theta\)a and b arethe sides of the triangle
theta is the central angle between the sides
Given
a = 12m
b = 7m
theta = 33 degrees
Substitute the given values into the formula as shown;
\(\begin{gathered} A\text{ = }\frac{1}{2}\cdot12\cdot7\text{ sin 33} \\ A\text{ = 6 }\cdot\text{ 7 sin33} \\ A\text{ = 42sin33} \\ A\text{ = 42(}0.5446\text{)} \\ A\text{ }\approx\text{ }22.88m \end{gathered}\)Hence the area of the triangle to the nearest hundredth is 22.88m
how will the interval compare to the interval calculated for the same percentage if a normal distribution is assumed and the Empirical Rule is used?
Answers
The 68-95-99.7 rule, also known as the empirical rule, is a shorthand for remembering the percentage of values in a normal distribution that lie within an interval estimate: 68%, 95%, and 99.7% of values lie within one, two, and three standard deviations of the mean, respectively.
What is empirical rule?The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule, is a statistical rule stating that for a normal distribution, nearly all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).
The Empirical Rule states that 99.7% of data from a normal distribution is within 3 standard deviations of the mean.
68% of the data is within one standard deviation of the mean, 95% is within two standard deviations, and 99.7% is within three standard deviations, according to this rule.
Three-sigma limits that follow the empirical rule are used to define the upper and lower control limits in statistical quality control charts and risk analysis such as VaR.
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Consider what you know about the sampling distribution of the sample proportion. This sampling distribution has a shape that is skewed to the right, regardless of sample size. is a collection of the parameters of all possible samples of a particular size taken from a particular population. Will become more variable as the sample size increases. will have a center equal to the population proportion, orp. Will be Normal in shape only if the sample size is at least 100 .
Answers
As per the sampling technique, consider the sampling distribution of the sample proportion. this sampling distribution will have a center equal to the population proportion, or p.
The sampling distribution of the sample proportion. This sampling distribution will become more variable as the sample size increases.
Here for the given question, let us check all the given statements in the options
Here we know that the shape is approximately normal. Then the given option will be false.
Next, it is the collection of all samples taken from the population, So the given option will be false
Standard Deviation
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Now, the sample size increases, the value of n increases. where n is the value on the denominator of the equation of standard deviation.
Therefore, due to an increase in the value of n, then there will be decreases in the standard deviation.
Then the less standard deviation means a small variance.
Therefore, as a result, as the sample size grows, the variation will be minimal.
So, the center is the same as the sample proportion p.
Therefore, this is correct.
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A city’s bus line is used more as the urban population density increases. The more people in an area, the more likely bus lines will be utilized. The population of Belmont, MA, is 24,729 and covers an area of 4.66 mi2. The population of Easton, MA, is 23,112 and covers an area of 28.4 mi2. Which city’s residents are more likely to use public buses? Explain.
The residents of Belmont are more likely to use public transportation because the city has the highest population density.
The residents of Easton are more likely to use public transportation because the city has the highest population density.
The residents of both cities will not use the bus line because the population density is too high.
The residents of both cities are equally likely to use public transportation because the population densities are equal.
Answers
Answer with explanation:
it is given that city's bus line is used more as the urban population density increases.
Population density is defined as ,total population per unit Area.
→Population Density of Belmont
\(=\frac{24729}{4.66}\)
\(=5306.65\)
In 1 Square mile,of Belmont approximately 5307 people Resides.
→Population Density of Easton
\(=\frac{23112}{28.4}\)
\(=813.80\)
In 1 Square mile,of Easton Approximately 813 people Resides.
From Above two,we conclude that
→Population Density of Belmont > Population Density of Easton
Option A: The residents of Belmont are more likely to use public transportation because the city has the highest population density.
Simplify the following expression.
(-12x³- 48x²) ÷ -4x
Answers
Answer:
3x^4+12x^3
Step-by-step explanation:
I need help ASAP
what is the domain of y=-16x^2+1700
Answers
The domain of the equation y = -16x^2 + 1700 is the set of all real numbers.
Explanation:
To find the domain of the equation y = -16x^2 + 1700, we need to determine the set of all real numbers for which the equation is defined.
Since the equation is a quadratic equation, it is defined for all real values of x. There are no restrictions on the values of x that can be plugged into the equation.
Therefore, the domain of the equation y = -16x^2 + 1700 is the set of all the real numbers.
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All of the quadrilaterals in the shape below are squares. Find the area of the shaded
region.
Answers
To find the area of the shaded region subtract the unshaded region from the total area, so we got 87.
What are the square area formulae?Square Area equals Side x Side. The square's size is therefore equal to side square units. and a square's circumference equals four side units.
To find the area of the shaded region first we need to find the sum of the area of all quadrilaterals and then subtract the area of the unshaded region.
Area of first quadrilateral A1 = \(16^{2}\) = 256
Area of first quadrilateral A2 = \(3^{2}\) = 9
Area of first quadrilateral A3 = \(3^{2}\) = 9
Area of first quadrilateral A4 = \(19^{2}\) = 361
To find the area of the shaded region subtract the unshaded region from the total area = Area of first quadrilateral A4 - (Area of first quadrilateral A1 + Area of first quadrilateral A2 + Area of first quadrilateral A3)
= 361 - (9 + 9 + 256)
=87
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Need help with Algebra I
Answers
The area of triangle in given figure is = 60 cm²
What do you mean by Triangle ?A triangle is a three-sided polygon that is formed by connecting three non-collinear points in a plane.The sum of the interior angles of a triangle is always 180 degrees, and the length of each side can be determined by the application of the Pythagorean theorem or other trigonometric functions, depending on the given information. Triangles can also be classified based on the size of their angles and the lengths of their sides, which give rise to various types of triangle such as equilateral, isosceles, scalene, acute, right, and obtuse triangles.
According to quesrtion
Given height = 3cm
Base = 10cm
if the height is quadrupled then height = 4 × 3 = 12cm
Area = 1/2 × base × height
= 1/2 × 70 × 12
to solve this we get
Area = 60cm²
So, the area of this triangle is 60cm²
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determine the periodic solutions, if any, of the system x˙ = y x p x 2 y 2 (x 2 y 2 − 2), y˙ = −x y p x 2 y 2 (x 2 y 2 − 2).
Answers
The periodic solutions of the system are:
(0, 0),
(±√2, ±√2).
These points represent periodic orbits in the phase space of the system.
To determine the periodic solutions, if any, of the system:
ẋ = yx^p(x^2y^2 - 2),
ẏ = -xy^p(x^2y^2 - 2),
we need to find values of x and y for which the derivatives ẋ and ẏ are equal to zero simultaneously. These points represent potential periodic solutions.Setting ẋ = 0 and ẏ = 0, we have:
0 = yx^p(x^2y^2 - 2),
0 = -xy^p(x^2y^2 - 2).
From the first equation, we can see that either y = 0 or x^2y^2 - 2 = 0.
If y = 0, then the second equation implies that x = 0. Therefore, (0, 0) is a solution.
If x^2y^2 - 2 = 0, then x^2y^2 = 2.
Taking the square root of both sides, we get xy = ±√2.Considering the second equation, we have -xy^p(x^2y^2 - 2) = 0.
Substituting xy = ±√2, we find that this equation holds true.
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Graph the function f(x) = 7 + 4x. Then find the value of f(x) when x =
1/4
Answers
Everything is graphed out and labeled here for ya!
Five times the sum of a number and three is the same as three times the difference of twice the number and one what is the number
Answers
Answer:
the number is 105
Step-by-step explanation:
5(x+3) = 3(2x - 1)
5x + 15 = 6x - 3
15 = 1x - 3
(15 + 3)
x = 18
Which three lengths can NOT be the lengths of the sides of a triangle?
A.) 24 m, 16 m, 10 m
B.) 8 m, 9 m, 8 m
C.) 20 m, 6 m, 11 m
D.) 13 m, 10 m, 15 m
Answers
Answer:
I would say C.)
someone please help, I will give BRAINLIEST!! please explain your answer
Answers
Answer: 8.94 is the length of GI
Step-by-step explanation: The two triangles are similar, so the ratios of the sides to each other will be the same.
the unknown length of GI in triangle FIG corresponds to the known length 20 of IH in Triangle GIH, and the known length 4 of side FI in triangle FIG corresponds to GI in Triangle GIH. So the ratio looks like 4:x as x:20
4/x = x/20 multiply both sides by x and 20 to "cancel" the denominators.
20x(4/x) = 20x(x/20)
80 = x² Calculate the square roots
√x² = x . √80 = 8.94
what is the slope- intercept form of 4x+5y=20
Answers
Answer:
y = -4/5x + 4
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Standard Form: 4x + 5y = 20
Step 2: Rewrite
Subtract 4x on both sides: 5y = 20 - 4xDivide 5 on both sides: y = 4 - 4/5xRearrange: y = -4/5x + 423. Eduardo wants to get a grade of 95 in his math
class. His grade will be the average of three test
scores. He got a 91 on the first test and a 89 on
the second test. Write an equation to represent
the situation. What score will he need on the
third test?
Answers
Answer:
equation: (91 + 89 + x):3 = 95
score needed: x = 105
Step-by-step explanation:
x - the third test score
average of three it's a sum of the three divided by 3:
(91 + 89 + x):3 = 95
×3 ×3
180 + x = 285
-180 - 180
x = 105
What is the shortest distance, in miles, from Zoey's house to the school? Round your answer to the nearest tenth.
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answers
Answer: 3 Miles
Step-by-step explanation:
The above figure shows two-dimensional view of a city region. The various lines (A,B,C,D) represent paths taken by different people walking in the city. All blocks are 120 m on a side. What is the total distance for path C? Express only the number of your answer in m.
Answers
The total distance for path C is 960 meters.
Path C consists of three segments: C1, C2, and C3.
C1: From the starting point, path C moves horizontally to the right for three blocks, which equals a distance of 3 blocks × 120 meters/block = 360 meters.
C2: At the end of C1, path C turns left and moves vertically downwards for two blocks, which equals a distance of 2 blocks × 120 meters/block = 240 meters.
C3: After C2, path C turns left again and moves horizontally to the left for three blocks, which equals a distance of 3 blocks × 120 meters/block = 360 meters.
To find the total distance for path C, we sum the distances of the three segments: 360 meters + 240 meters + 360 meters = 960 meters.
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What is a statistical question Musa can ask about the club?
How many hours does a member usually spend gardening each month?
How many members were at yesterday's club meeting?
How many gardens are on the school's property?
How much money did the club raise at last week's fundraiser?
Answers
Answer:
Step-by-step explanation:
How many pounds of peanuts costing $3.00 a pound should be mixed with 4 pounds of cashews costing $4.50 a pound to obtain a mixture costing $3.50 a pound?
Answers
Answer:
2/3 pounds of peanuts and
1/3 pound of cashews for every 1 pound of the mixture.
Step-by-step explanation:
Let x = the pounds of peanuts
Let 1-x = the pounds of cashews.
3x + 4.5(1 - x) = 3.5 Distribute the 4.5
3x + 4.5 - 4.5x = 3.5 Combine like terms
-1.5x + 4.5 = 3.5 Subtract 4.5 from both sides
-1.5x = -1 Divide both sides by -1.5
x = 2/3 This is the pounds of peanuts
1-x
1 - 2/3 = 1/3 This is the pounds of cashews.
What is the sequence 6, 30, 150, 750, ____ ?
Answers
The value of the missing number and the 6th term is 3750
What is a geometric sequence?The formula for determining the nth term of a geometric sequence with a common ratio greater than one is expressed as;
Tn = ar^n-1
From the information given, the first term(a) is 6 and we are to find the 5th term, thus, n is 5
Let's substitute into the formula
T5 = 6 × 5^5-1
T5= 6× 5^4
Find the value
T5 = 6 × 625
T5 = 3750
Thus, the value of the missing number and the 6th term is 3750
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BWI Airport is building a new parking lot. The parking lot will need to fit 1350 cars. A typical row of parking spaces has 30 spaces. How many rows have to be built to hold 1350 cars? Rather than build rows that fit 30 cars, the airport is requesting rows that fit 50 cars. How many fewer rows are needed if the rows fit 50 card?
Answers
Answer:
45 rows will need to be built to hold 1350 cars. (for 30 spaces a row)
19 fewer rows are needed if the rows fit 50 cars (for the 50 spaces a row)
Step-by-step explanation:
for the first question divide 1350 by 30 and the second divide 1350 by 50, good luck!
If the allele frequency of the dominant allele is 0.4, what value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1?
Answers
The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
According to the statement
we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.
So, For this purpose, we know that the
The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.
And here
allele frequency is the 0.4 and represent the value of P.
So, The value of p is 0.4 and the
Then p^2 = (0.4)^2
so, the value becomes
p^2 = (0.4)^2
p^2 = 0.16.
So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
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Given a triangle with coordinates X(2, -1), Y(-5, -4), and Z (-2, 3), what type of triangle is it?choice;rightequilateralisoscelesscalene
Answers
Solution
Distance between X and Y
\(D_{XY}=\sqrt{(2+5)^2+(-1+4)^2}=\sqrt{58}\)Distance between Y and Z
\(D_{YZ}=\sqrt{(-2+5)^2+(3+4)^2}=\sqrt{58}\)Since
\(D_{XY}=D_{YZ}\)Hence, the Triangle is Isosceles
A glass marble has a radius of 1cm. How much glass is in the marble?
Answers
Answer:
4.19cm^3
Step-by-step explanation:
π^2
V=\(\frac{4}{3}\)πr^3
= 4/3·π·13≈4.18879
What is the image of (4,-4) after by a scale factor of 1/4 centered at the origin
Answers
(x', y') = (1, -1)
Step by step explanation:
To find the image of the point (4, -4) after a scale factor of 1/4 centered at the origin, we need to multiply both coordinates of the point by the scale factor. This will give us the new coordinates of the point after scaling.
The formula for scaling a point (x, y) by a scale factor k centered at the origin is:
(x', y') = (kx, ky)
In this case, the scale factor is 1/4, so we have:
(x', y') = (1/4 * 4, 1/4 * -4) = (1, -1)
Therefore, the image of the point (4, -4) after scaling by a factor of 1/4 centered at the origin is (1, -1).