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adelina 88 [10]
3 years ago
10

Linda and Roy are solving the equation 4x+3x-7=(1+4x)+5x. Linda uses a first step that results in 4x+7-3x=(1+4x)+5x Roy uses a f

irst step that results in 4x+3x-7=1+(4x+5x) which statement about the first steps Linda and Roy use is true

Mathematics
1 answer:
White raven [17]3 years ago
4 0

Answer:

Option C

Step-by-step explanation:

Linda used the first step that results in,

4x + 7 - 3x = (1 + 4x) + 5x

As Linda changed the sign of (3x) to (-3x), it doesn't matches the original equation.

So she is not correct.

Roy used the first step as,

4x + 3x - 7 = 1 + (4x + 5x)

He has used the associative property in the right hand side of the given equation.

Associative property → (a + b) + c → a + (b + c)

Therefore, he is correct.

Option C is the correct option.

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Answer:

The z score for bolt of diameter 18.12 mm is 1.20.

Step-by-step explanation:

Let <em>X</em> = diameter of bolts.

It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.

A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.

The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

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The formula to compute the <em>z</em>-score is:

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

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Compute the <em>z</em>-score for this value as follows:

z=\frac{x-\mu}{\sigma}=\frac{18.12-18}{0.10}=\frac{0.12}{0.10}=1.20

Thus, the z score for bolt of diameter 18.12 mm is 1.20.

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