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Phoenix [80]
3 years ago
10

Factor-3/4 out of 3/2x-9/4y

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0

For this case we must factor - \frac {3} {4}of the following expression:

\frac {3} {2} x- \frac {9} {4}y

By law of signs of multiplication it is fulfilled that:

- * - = +\\- * + = -

So we have to:

- \frac {3} {4} * (- 2) = + \frac {6} {4} = + \frac {3} {2}\\- \frac {3} {4} * 3 = - \frac {9} {4}

Thus, by factoring we have:

- \frac {3} {4} (- 2x + 3y)

Answer:

- \frac {3} {4} (- 2x + 3y)

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Simplify this algebraic expression.<br><br> 9k + 7 - K + 4 =
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A random sample of 100 workers in one large plant took an average of 12 minutes to complete a task, with a standard deviation of
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Answer:

The 95% Confidence Interval for the difference between the two population mean completion times =

(0.081, 1.919)

Step-by-step explanation:

Confidence Interval for difference between two means =

μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2

Where

μ1 = mean 1 = 12 mins

σ1 = Standard deviation 1 = 2 mins

n1 = 100

μ2= mean 2 = 11 mins

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n1 = 50

z score for 95% confidence interval = 1.96

μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2

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= 1 ± 1.96 × √4/100 + 9/50

= 1 ± 1.96 × √0.04 + 0.18

= 1 ± 1.96 × √0.22

= 1 ± 1.96 × 0.469041576

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Therefore, the 95% Confidence Interval for the difference between the two population mean completion times =

(0.081, 1.919)

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