Answer:
The height of the cone is h = 27
Step-by-step explanation:
<u>Formula:</u>-
Step 1:-
The volume of the cone is
Given volume is V= 45 in^ 3
Given base of the cone is B= 5 in^2
<u>Step 2</u>:-
by using formula, we get solution
cross multiplication, we get
now simplification, the height of the cone is h = 27
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:
square-based pyramid:
volume V = (⅓)b²h
= (⅓)7²·16
≅ 261.3 ft³
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Can't help with question 3. I haven't learned triangle-based pyramids.
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cone:
volume V = ⅓πr²h
= ⅓π17²·20
= 6052.8 yd³
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can't help with question 7. Never did this kind of pyramid.
Answer:
B
Step-by-step explanation:
formula s =4*pi*r^2
s=4(3.14)(3^2)
s = 12.56(9)s= 113.04
Answer:
ok, so whats the question??
Step-by-step explanation: