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:
eqn : 9 x 9 x h = 1620
h = 1620 / 81 = 20
Step-by-step explanation:
Answer:
the actual answer is a(n)= 500 * ( 1 + 0.03) ^(n - 1) ;$579.64
Step-by-step explanation:
Answer: -7, 12
Step-by-step explanation:
a+b = 5
a*b = -84
a = 5-b
(5-b)*b = -84
-b^2 + 5b + 84 = 0
(-b - 7)(b + 12) = 0
The roots are -7 and 12.
I'm not sure what â€" stands for
Answer:
x=8
Step-by-step explanation:
first you need to find the unknown corner so you do 180-71= 109
then find the interior angle degree (n-2)*180 (n=number of sides) so (4-2)*180=2(180)=360
then set everything equal to 360:
10x+6+13x-2+8x-1+109=360
(combine like terms)
31x+112=360
(subtract 112 form both sides)
31x=248
(divide both sides by 31)
x=8
