Negative 5
means put a point 5 units to the left of 0
C is answer
Answer:
y = 8/5x - 3
Step-by-step explanation:
First, find the slope using rise over run (y2 - y1) / (x2 - x1)
(y2 - y1) / (x2 - x1)
(-19 - 5) / (-10 - 5)
-24 / -15
= 8/5
Plug in the slope and a given point into y = mx + b, and solve for b
y = mx + b
5 = 8/5(5) + b
5 = 8 + b
-3 = b
Plug in the slope and b into y = mx + b
y = 8/5x - 3
So, the equation is y = 8/5x - 3
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:
sqrt. 244
Step-by-step explanation:
a^2 + b^2 =c^2
10^2 + 12^2 =244
c^2 =244
c= sqrt. 244
