Answer:
The probability is 1/3, or in percent form, 33.3%.
Step-by-step explanation:
First, add up all the marbles. 3 plus 2 plus 1 equals 6 total marbles.
There are 2 yellow marbles out of 6 total marbles. Make it a fraction: 2/6.
Simplify the fraction by dividing by 2, to get 1/3, which is 33.3%.
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Answer:
The answer is <em>-0.5</em>
Step-by-step explanation:
10x-3(x-6)=-(x-1)
first distribute
10x -3x +18 = -x + 1
then you simplify
7 x +18 = -x +1
then you leave of when one side of x
6 x +18= +1
use opposite operation on the side with the x and do the same equation to the other side
6 x = -17
then divide
x = - 2.8333....
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:
Step-by-step explanation: