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11 months ago

Factories fully. X to the power of three - x

Mathematics

1 answer:

spayn [35]11 months ago

7 0

The expression x³ - x when factored out is x(x -1)(x + 1)

<h3>How to determine the factored expression?</h3>

From the question, we have the following expression that can be used in our computation:

X to the power of three - x

Express the expression properly

So, we have the following representation

x³ - x

The terms of the above expression are:

x³ and x

And the factor of x³ and x

Factor = x

So, we divide x³ and x by x

The results of these divisions are

x³/x = x²

x/x = 1

So, we have the following results

(x³ - x) = x(x² -1)

Express x² -1 as a difference of two squares

So, we have

(x³ - x) = x(x -1)(x + 1)

Hence, the factored expression is x(x -1)(x + 1)

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Answer:

b) yes

The manufacturer has the right to state that the light bulbs last on average 400 hours

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 64

Given standard deviation of the Population (σ)=100

Mean of the sample (x⁻) = 350 hours

95% of confidence interval is determined by

$(x^{-} -Z_{0.95} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.95} \frac{S.D}{\sqrt{n} } )$

( $(350 -1.96 \frac{100}{\sqrt{64} } , 350+1.96\frac{100}{\sqrt{64} } )$

(350-24.5 , 350+24.5)

(325.5 , 374.5)

Conclusion:-

Yes

The manufacturer has the right to state that the light bulbs last on average 400 hours

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3 years ago

How to simplify the square root of 126

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$3 \sqrt{14}$ is the final answer :)

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Suppose a random sample of n measurements is selected from a binomial population with probability of success p = .39. Given n =

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Answer:

The answer is below

Step-by-step explanation:

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c) The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:

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2 years ago

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