Answers:
The z scores are approximately:
- Care of Magical Creatures: z = 0.333
- Defense Against the Dark Arts: z = 0.583
- Transfiguration: z = -0.263
- Potions: z = -0.533
From those scores, we can say:
- Best grade = Defense Against the Dark Arts
- Worst grade = Potions
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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 = mean
- sigma = standard deviation
Let'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.
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To summarize, we have these z scores
- Care of Magical Creatures: z = 0.333
- Defense Against the Dark Arts: z = 0.583
- Transfiguration: z = -0.263
- Potions: z = -0.533
Harry 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.
Answer:
x ≤ 7
Step-by-step explanation:
1. add 4 to both sides x-4+4 ≤ 3+4
2. simplify x ≤ 7
Answer:
15 1/6
Step-by-step explanation:
change -8 2/3 into an improper fraction = -26/3
-4/7v = -26/3
cross-multiply:
3(-4v) = (-26)7
-12v = -182
v = 182/12
v = 15 1/6
Answer:
The 6th degree polynomial is
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots such that it can be written as: , in which a is the leading coefficient.
Zero 1 with multiplicity 3.
So
Zero 4 with multiplicity 2.
Considering also the zero 1 with multiplicity 3.
Zero -3 with multiplicity 1:
Considering the previous zeros:
Degree is the multiplication of the multiplicities of the zeros. So
3*2*1 = 6
The 6th degree polynomial is
Answer:The first one should be it Dont trust me
Step-by-step explanation: