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lorasvet [3.4K]
3 years ago
5

A building is 200 feet long. The length of the building on a scale diagram is 2 feet 6 inches. What is the height of the buildin

g on the same scale diagram if the building is actually 50 feet high? Round your answer to the nearest inch. 4 inches 8 inches 10 inches 1 foot 6 inches
Mathematics
1 answer:
mafiozo [28]3 years ago
3 0

Answer:

200 feet to 2 ft 6 inches (or 30 inches)

Convert the 200 feet to inches

2400 inches.

2400 divided by 30 inches is

80 inches per feet

600 inches divided by 80 is

7.5 inches rounded up is 8 inches

the answer is 8 inches

Step-by-step explanation:

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At Hogwarts School of Witchcraft and Wizardry, Professor Snape was concerned about grade inflation, and suggested that the schoo
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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
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From those scores, we can say:

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  • Worst grade = Potions

=====================================================

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,

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  • mu = mean
  • sigma = standard deviation

Let's find the z score for the Care of Magical Creatures class

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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

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z = (3.10 - 3.20)/(0.38)

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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

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This grade is below average as well.

----------------------------

To summarize, we have these z scores

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  • 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.

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