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WARRIOR [948]
3 years ago
5

Write an expression that simplifies to x to the power of -4

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
8 0

Answer:

x⁻⁴ would be written as \frac{1}{x^{4} } as it's simplified form

Hope this helps!

KonstantinChe [14]3 years ago
4 0

Answer:

1/x⁴

Step-by-step explanation:

We need to simplify the expression , x -⁴ .

  • We know that , if a number has negative power, then in order to convert , the negative power into positive , we will inverse ( reciprocal) and then put the positive power.

=> x -⁴

=> (1/x) ⁴

=> 1⁴/ x ⁴

=> 1/x⁴

<h3><u>Hence</u><u> the</u><u> </u><u>required</u><u> answer</u><u> </u><u>is </u><u>1</u><u>/</u><u>x</u><u>⁴</u><u> </u><u>.</u></h3>
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Ira Lisetskai [31]

{2}^{6}  = 64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2
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3 years ago
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It has been suggested that night shift-workers show more variability in their output levels than day workers (σ2N &gt; σ2D). Bel
Murljashka [212]

Answer:

<em>Calculated |t |= 7.72 > 2.1314 at 0.05 level of significance </em>

<em>Null hypothesis is rejected </em>

<em> The night shift-workers show more variability in their output levels are greater than day workers </em>

Step-by-step explanation:

<u>Step(i):</u>-

Given first sample size n₁ = 9

Given mean of the first sample x₁⁻ = 520

Given sample variance of the first sample'S²₁' = = 38

Standard deviation of the first sample 'S₁' = √38 =6.16

Given second sample size n₂ = 8

Given mean of the second sample x₂⁻ = 540

Given sample variance of the second sample ( 'S²₂' = 20

Standard deviation of the second sample 'S₂' = √20 = 4.4712

<u><em>Step(ii):-</em></u>

<em>Null hypothesis :H₀:  σ²₁ =σ²₂</em>

<em>Alternative Hypothesis:H₁: σ²₁ > σ²₂</em>

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S^2_{1} }{n_{1} }+\frac{S^2_{2} }{n_{2} }  } }<em></em>

<em>              </em>

            t = \frac{520 - 540 }{\sqrt{\frac{38 }{9 }+\frac{20 }{8 }  } }

           t =    - 7.72

          |t| = |- 7.72| = 7.72

Degrees of freedom

<em> ν = n₁ + n₂ -2 = 9 +8 -2 = 15</em>

<em>t₀.₀₅ = 2.1314</em>

<u><em>Final answer</em></u><em>:-</em>

<em>Calculated |t |= 7.72 > 2.1314 at 0.05 level of significance </em>

<em>Null hypothesis is rejected </em>

<em> The night shift-workers show more variability in their output levels are greater than day workers </em>

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NEED ASAP! Easy question just need verification!
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hope this helps :)

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