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Nutka1998 [239]
4 years ago
15

What is the expanded notation fraction of 810.435

Mathematics
1 answer:
ipn [44]4 years ago
3 0

Answer:

810.435 =

 800  

+ 10  

+ 0  

+   0.4

+   0.03

+   0.005

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Question 9
Wittaler [7]

Answer:

Part A) Barbaroid will be executed

Part B) 75 more globin soldiers

Step-by-step explanation:

The army sizes of ORC leaders are

normally distributed with a mean of 5600 goblin soldiers and a standard deviation of 750 goblin soldiers.

The rule is that, if an Orc Leader shows up with an army of a z-score lower than

-1.5, he is immediately executed.

We want to determine whether Lord Barbaroid, an Orc Leader, who appears with an army of 4400 goblin soldiers,

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We find the z-score corresponding to 4400 using

z =  \frac{x -  \mu}{ \sigma}

We substitute x=4400 , the standard deviation and the mean to get:

z  =  \frac{4400 - 5600}{750}  =  - 1.6

Since Lord Barbaroid's z-score , -1.6 is less than -1.5 he will be executed.

Part B)

We want to find how many more goblin soldiers Lord Barbaroid have needed in order to NOT be executed and meet that Z-Score.

So we need to find the number of globin soldiers that corresponds to -1.5.

- 1.5 =  \frac{x - 5600}{750}

750 \times  - 1.5 = x - 5600

- 1125 = x - 5600 \\ x = 5600 - 1125

x = 4475

Therefore Barbaroid needed 4475-4400=75 more globin soldiers.

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3 years ago
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