Answer:
Physics formulas, chemical structures, chemical conversions and reactions. ... solve y' = y^2 x ... prove by induction sum of j from 1 to n = n(n+1)/2 for n>0.
Step-by-step explanation:
That would be 0.14 after rounding up from 0.1379
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.
Step-by-step explanation:
f(2)= -2×2×2+ 6×2 -7
=-8+12-7
=-3
She worked for five hours on Saturday.
Step by step: 3 hours × $6.50= $19.50
then take the amount of money she made in total and subtract what she made on Friday to find how much she made on Saturday
$52 - $19.50= $32.50
Now take how much she made on Saturday and divide that by $6.50 to find how many hours she worked on Saturday
$32.50 ÷ $6.50= 5 hours
