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sladkih [1.3K]
3 years ago
10

Enter the answer to the nearest tenth. Another home business has an average income of $1.200.00 per month with a standard deviat

ion of $100.00. If the income in a given month is $1,030.00, what z-score corresponds to this value?
1 0

-1.5

-1.7

the answer is D.-1.7
Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Answer: -1.7

Step-by-step explanation:

Given : Another home business has an average income of $1.200.00 per month with a standard deviation of $100.00.

i.e.\mu=\$1200.0

\sigma=\$100.00

Let x represents the monthly income.

Since . z=\dfrac{x-\mu}{\sigma}

For x= 1030 , we have

z=\dfrac{1030-1200}{100}=-1.7

Hence, the required z-score = -1.7

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Allushta [10]

Hey there!!

In order to solve this equation, we will have to use the distributive property.

What is distributive property?

We will need to distribute one term to the other terms preset.

Example : 4 ( 3x - 1 )

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( 4 × 3x ) + ( 4 × -1 )

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This is after implementing the distributive property.

Now moving back onto the question

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Distribute 3 to x and -2

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Combine all the like terms

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Adding 10 on both sides

4x + 20 + 10 = x - 10 + 10

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Subtracting 4x on both sides

4x - 4x + 30 = x - 4x

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Dividing by -3 on both sides

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- 10 = x

<h2>x = - 10 </h2><h3>Hope my answer helps!</h3>

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3 years ago
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