1. a (n) = -0.6(n) + 14.6
2. a (12) =7.4 sec
3. 6th race
Would you like an explanation?
The answer is B
- <span>"More" means added to, or addition. So 7 more than 'A number' is: </span><span>d + 7</span>
This is very simple to do. Take out your calculator and insert 14.4. However, move the decimal two places to the left to get .144, and multiply it by 72.5 to get your answer of 10.44.
Answer:
23=x-13, x=36
9+x=14, x=5
12=x+8, x=4
Step-by-step explanation:
23=x-13. You want to isolate x so you have to add 13 to both sides. x=23+13, x=36
9+x=14. You want to isolate x so you have to subtract 9 from both sides. x=14-9, x=5.
12=x+8. You want to isolate x so you have to subtract 8 from both sides. x=4.
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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.
