At Hogwarts School of Witchcraft and Wizardry, Professor Snape was concerned about grade inflation, and suggested that the school should issue standardized grades (or 2-scores), in addition to the regular grades. How might this work? Harry was in four classes, each with 20 students. Harry's score, the class mean, and the class standard deviation are given below. Compute his standardized grade in each class. If we judged by standardized grades, where did he do best? Where did he do worst?
Answers
Answers:
The z scores are approximately:
Care of Magical Creatures: z = 0.333Defense Against the Dark Arts: z = 0.583Transfiguration: z = -0.263Potions: z = -0.533From those scores, we can say:
Best grade = Defense Against the Dark ArtsWorst grade = Potions=====================================================
Further Explanation:
We'll need to convert each given score to a corresponding standardized z score.
The formula to use is
z = (x - mu)/sigma
where,
x = given grade for each class mu = meansigma = standard deviationLet's find the z score for the Care of Magical Creatures class
z = (x - mu)/sigma
z = (3.80 - 3.75)/(0.15)
z = 0.333 approximately
Repeat this process for the Defense Against the Dark Arts score.
z = (x - mu)/sigma
z = (3.60 - 3.25)/(0.60)
z = 0.583 approximately
And for the Transfiguration class as well
z = (x - mu)/sigma
z = (3.10 - 3.20)/(0.38)
z = -0.263 approximately
The negative z score means his grade below the average, whereas earlier the other scores were above the average since he got positive z scores.
Now do the final class (Potions) to get this z score
z = (x - mu)/sigma
z = (2.50 - 2.90)/(0.75)
z = -0.533 approximately
This grade is below average as well.
----------------------------
To summarize, we have these z scores
Care of Magical Creatures: z = 0.333Defense Against the Dark Arts: z = 0.583Transfiguration: z = -0.263Potions: z = -0.533Harry did his best in Defense Against the Dark Arts because the z score of 0.583 (approximate) is the largest of the four z scores. On the other hand, his worst grade is in Potions because -0.533 is the lowest z score.
Related Questions
what is the area of the small square?
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Answer:
4
Step-by-step explanation:
Since it is a square all sides are the same. For the first one 5 x 5 eqals 25. For the second one since it has a 2 on one side we multiply 2 x 2 to get 4.
A spinner with 6 equally sized sliced has 2 blue slices 1 yellow slice and e red slices the dial is and stops on a slice at random what is the probability that the dial stops on a blue or yellow slice
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Answer:
1/2 or 50%
Step-by-step explanation:
There are 2 blue slices and 1 yellow slice. Then there are 3 red slices. Since 3 is half of 6, and the blue and yellow slices make 3, The answer will become 1/2 0r 50%.
4 (-p -6) please answer!!
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Answer:
see below
Step-by-step explanation:
You distribute the four
so 4x-p
then 4x-6
4x-p= -4p
4x-6=-24
-4p-24 is your answer
slove for g
3/16= -5/4 +g
Answers
Answer:
+g=3/16+5/4
the answer : 3/16+5/4
A rectangular swimming pool has a base of 200 square feet. The pool has a depth of 5 feet.
What is the volume of the pool?
25 ft³
100 ft³
500 ft³
1,000 ft³
Answers
Answer:
D.) 1,000 ft³
If the base of the pool is 200 square feet in size, then we can just multiply 200 by the depth of 5 to equal 1,000 ft³ which is equal to the volume of the pool.
Step-by-step explanation:
Have a great rest of your day
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In an obstacle course, participants climb to the top of a tower and use a zip line to travel across a mud pit. The zip line extends from the top of a tower to a point on the ground 48.2 feet away from the base of the tower. The angle of elevation of the zip line is 33°. Estimate the length of the zip line to the nearest tenth of a foot.
Answers
Using relations in a right triangle, it is found that the length of the zip line is of 40.4 feet.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.This situation can be modeled by a right triangle, in which the extension of the zip line of 48.2 feet is the hypotenuse and the length is the adjacent side to the angle of 33º, hence:
[tex]\cos{33^\circ} = \frac{l}{48.2}[/tex]
l = 48.2 x cos(33º)
l = 40.4.
The length of the zip line is of 40.4 feet.
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POSSIBLE PO
A birthday gift is placed in the box below. What is the minimum amount of wrapping paper needed to
wrap the box?
desmos Vacinia | Standards d Learring Version
7 in
16 in
10,5 in
Answers
Answer:
707 inches squared
Step-by-step explanation:
Find the area of each side of the rectangular prism then add all of the areas together.
hope this helps
have a good day
pls answer QUICKLY!!!!!!!!!!!!!!
its just basic geo on khan
thank u :))))
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The arc measure of the arc BC is 155°.
What is the arc measure of an arc of a circle in degrees?A complete circle has an arc, that is, a central angle of 360°. whose sum of angles is shown below:
AD + AB + BC + CD = 360°
Where AD = 155°
Since the four angles are generated by two diameters, then we find that AD = BC and AB = CD. Hence:
2 · AD + 2 · AB = 360 Given
AD + AB = 180 Compatibility with multiplication / Existence of the multiplicative inverse / Modulative property
AB = 180 - AD Compatibility with addition / Existence of the additive inverse / Modulative property
AB = 180 - 155 Given
AB = 25 Definition of subtraction / Result
Then, the arc measure of the arc BC is 155°.
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Zoey goes out to lunch. The bill, before tax and tip, was $9.45. A sales tax of 3% was added on. Zoey tipped 15% on the amount after the sales tax was added. What was the total cost of the meal, plus tax and tip? Round to the nearest cent.
Answers
Answer:
$11.34
Step-by-step explanation:
I think you meant tenth where you said “nearest cent”, so it’s $11.30.
Answer:
$11.34
Step-by-step explanation:
i hope u get this right.
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TIMED FINAL PLEASE ANSWER
Which graph represents the following piecewise defined function?
Answers
do you still have time?
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The robotics club has created 10 racing robots for the end of year science fair. each robot has the same chance of winning the race. what are the chances that robot a and robot b finish in the top three spots, but robot c is not in the top three?
Answers
Answer: [tex]\frac{7}{120}[/tex]
Step-by-step explanation:
Find the area of each parallelogram below.
Answers
Answer:
area of first
parallelogram
= 25x8
=200m^2
area of second
parallelogram
12x7
=84f^2
Step-by-step explanation:
I hope it's helpful for you
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, determine the interval that would represent the middle 99. 7% of IQ scores
Answers
Answer:
The interval that would represent the middle 99.7% of IQ scores is (55, 145).
Step-by-step explanation:
The empirical rule tells us that 68% of values are within one standard deviation from the mean, 95% of values are within two standard deviations from the mean, and 99.7% of values are within three standard deviations from the mean.
If we want to determine the interval representing the middle 99.7% of IQ scores, we need to determine the values that are three standard deviations from the mean.
We are given the standard deviation of 15 and a mean of 100. Three standard deviations from the mean can be calculated as such:
100 - 15(3) < 100 < 100 + 15(3)100 - 45 < 100 < 100 + 4555 < 100 < 145The interval that represents the middle 99.7% of IQ scores is (55, 145).
Which expressions are equivalent to -6+4q+(-6q)−6+4q+(−6q)minus, 6, plus, 4, q, plus, left parenthesis, minus, 6, q, right parenthesis ?
Choose all answers that apply:
(Choice A)
-6(q+1)-4q−6(q+1)−4qminus, 6, left parenthesis, q, plus, 1, right parenthesis, minus, 4, q
(Choice B)
2(q-3)2(q−3)2, left parenthesis, q, minus, 3, right parenthesis
(Choice C)
None of the above
Answers
The expressions equivalent to -6 + 4q + (-6q) is C. None of the above
Which expressions are equivalentThe expression -6 + 4q + (-6q) can be simplified to -2q - 6,
Evaluating the given options, we have
Option (b); 2(q - 3) = 2q - 6
Option (c): -6(q + 1) - 4q = -10q - 6
Therefore, None of the above expressions are equivalent
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us I a calculator or otherwise, calculate the exact value of 1 4/7 ÷ 2/3 - 1 5/7
Answers
BEST ANSWER :
[tex]1 \frac{4}{5} \div \frac{2}{3} - 1 \frac{5}{7} [/tex]
=
[tex] \frac{7 + 4}{7} \div \frac{2}{3} - 1 \frac{5}{7} \\ \frac{11}{7} \div \frac{2}{3} - 1 \frac{5}{7} \\ \frac{11}{7} \div \frac{2}{3} - \frac{7 + 5}{7} \\ \frac{11}{7} \div \frac{2}{3} - \frac{12}{7} \\ \frac{11}{7} \times \frac{3}{2} - \frac{12}{7} \\ \frac{11 \times 3}{7 \times 2} - \frac{12}{7} \\ \frac{33}{7 \times 2} - \frac{12}{7} \\ \frac{33}{14} - \frac{12}{7} \\ \frac{33}{14} - \frac{12 \times 2}{14} \\ \frac{33}{14} - \frac{24}{14} \\ \frac{33 - 24}{14} \\ \frac{9}{14} [/tex]
For each polynomial function below, state the minimum degree its equation could have
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help me guys!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
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Answer:
range is 5
mean is 9
Step-by-step explanation:
If Tshepo and his friends take N6 from Bloemfontein which town are they going to pass on their way to East London?
Answers
The town of Komani and Maletswai will be passed by Tshepo and his friends if they take N6 from Bloemfontein to East London.
Where is the N6?The location is a national route in South Africa that connects the East London with Bloemfontein the via route of Komani and Maletswai.
The Komani is a town in the middle of the Eastern Cape Province of South Africa while the Maletswai is also a town in central South Africa on the banks of the Orange River, Eastern Cape Province of SA.
Therefore, the town of Komani and Maletswai will be passed by Tshepo and his friends if they take N6 from Bloemfontein to East London.
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I need help with this question please
Answers
Answer:
85 cm
Step-by-step explanation:
the strut forms a right triangle with the end of the pole.
let the ends of the strut be x from the top of the pole . then
using Pythagoras' identity with 2 legs x and hypotenuse 1.2
x² + x² = 1.2²
2x² = 1.44 ( divide both sides by 2 )
x² = 0.72 ( take square root of both sides )
x = [tex]\sqrt{0.72}[/tex] ≈ 0.85 m ( to 2 dec. places )
the ends are 0.85 m = 85 cm from the top of the pole
HELP ASAP!!! 50 POINTS!!! AND BRAINLIEST!!
When comparing the f(x) = x2 – x and g(x) = log(2x + 1), on which interval are both functions positive?
(–∞, 0)
(0, 1)
(1, ∞)
(∞, ∞)
Answers
Both functions g(x) and f(x) are positive in the interval of (1, ∞). Then the correct option is C.
What is the domain and range of a function?The domain is the set of values for which the given function is defined.
The range is the set of all values which the given function can output.
When comparing the f(x) = x² – x and g(x) = log(2x + 1).
For f(x), we have
f(x) = x² – x
f(x) = x² – x + 1/4 - 1/4
f(x) = (x - 1/2)² - 1/4
The domain and the range of the function f(x) will be (-∞, ∞) and (-5, ∞).
For g(x), we have
g(x) = log(2x + 1)
The domain and the range of the function g(x) will be (-1/2, ∞) and (-∞, ∞).
Both functions g(x) and f(x) are positive in the interval of (1, ∞). Then the correct option is C.
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P:
N:
L:
M:
Explain what you need to find the equation for each problem.
Answers
Answer:
P: y=-4x
N: y=x-1
L: y=4
M: y=-2x+4
Step-by-step explanation:
p: y=-4x
because the line intercepts only x
L: y=4
because the line intercepts only y
N: y=x-1
(0,-1),(1,0)
(x1,y1),(x2,y2)
M: y=-2x+4
(0,4),(2,0)
(x1,y1),(x2,y2)
eqn of aline y2-y1/x2-x1
I need help with this please
Answers
Answer:
∠BIF = 126°
∠JBC = 63°
∠BJD = 117°
Step-by-step explanation:
adjacent angles in a rhombus add up to 180°
∠IBJ and ∠BIF are adjacent angles in a rhombus
thus,
∠IBJ + ∠BIF = 180°
54° + ∠BIF = 180
subtract 54 from both sides to isolate the variable
∠BIF = 126°
a line is 180°
thus, ∠IBA + ∠IBJ + ∠JBC = 180° as those three angles form a line
as the parallelograms are congruent, and we can visually notice that ∠IBA corresponds to angle ∠JBC, we can say that ∠IBA = ∠JBC
thus,
∠IBA + ∠IBJ + ∠JBC = 180°
54° + ∠JBC + ∠JBC = 180°
54° + 2∠JBC = 180
subtract 54 from both sides to isolate the variable and its coefficient
126° = 2∠JBC
divide 2 from both sides to isolate the variable
∠JBC = 63°
adjacent angles in a parallelogram add up to 180°
∠JBC and ∠BJD are adjacent angles in a parallelogram
∠JBC + ∠BJD = 180°
63° + ∠BJD = 180°
subtract 63 from both sides to isolate the variable
∠BJD = 117°
Need to know the answer to this
Answers
Answer:
B. Multiply/divide only one side by a non-zero constant
Step-by-step explanation:
Equation B is dividing the left side of the equation by 3, which is a non-zero constant, but it is not dividing the right side of the equation.
y=x^2-3-2x in stanard form
Answers
a
x
2
+
b
x
+
c
a
x
2
+
b
x
+
c
Move
−
3
-
3
.
x
2
−
2
x
−
3
Which equation represents the relationship between the angles in the figure?
х
х
75°
x + 75 = 90
2x + 75-90
x + 75 - 180
2x + 75 = 180
Answers
Answer:
D. 2x+75=180Step-by-step explanation:
Given:
This figure gives us 180 degrees of angles.
Calculate the angle of x in the figures according to the term x on one side of the equation.
The angle relationship should be represented by 2x.
2x+75=180
First, subtract by 75 from both sides.
2x+75-75=180-75
Solve.
Subtract the numbers from left to right.
180-75=105
2x=105
Divide by 2 from both sides.
2x/2=105/2
Solve.
Divide the numbers from left to right.
105/2=52.5
x=105/2=52.5
Therefore, the correct answer is "D. 2x+75=180".I hope this helps. Let me know if you have any questions.
A teacher kept track of how much money each of her students raised for the fundraiser. She put the data in the line plot graph. How many students raised $50 or more? A) 2 B) 3 C) 4 Eliminate D) 5
Answers
Answer:
The answer is C!
Step-by-step explanation:
You just have to count the all the x's that are at 50 and after!
I hope this helps you!
Answer:
C) 4
Step-by-step explanation:
All the X's are the amount of students. Now we eliminate everything before 50.
Now we count the X's which will be 4
Hope this helps :D
2 Select the correct answer. Consider functions f and g. Which statement gives the best approximation of the solutions of the equation ? A. The solutions are where the graphs of the functions cross the x-axis at and . B. The solutions are where the graphs of the functions cross the x-axis at and . C. The solutions are where the graphs of the functions intersect at and . D. The solutions are where the graphs of the functions intersect at and .
Answers
Step-by-step explanation: I think not sure.
Answer: The solutions are where the graphs of the functions intersect at x = -3.464 and x = 3.464
Step-by-step explanation:
Help! 2.11.2 Project Task :The Parallax
I chose the City of Sidney
Answers
Answer:
first u take x then multiply x 3 1 the 30 plus x
someone please help me what is (m - 5) divided by 4 where 5 = 17