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Bad White [126]
2 years ago
9

Simply. the answer should only contain positve exponets.

Mathematics
1 answer:
Murljashka [212]2 years ago
5 0
That's really an ugly mess.  I'm sure it can be greatly simplified.

                               2 m²  p⁻¹  q⁴  /  m⁴ p⁻¹ q⁴ m² q⁻³

-- There's  m²  on top and also  m²  on the bottom.  They can be cancelled.
-- There's  p⁻¹  on top and also  p⁻¹  on the bottom.  They can be cancelled.
-- There's  q⁴  on top and also  q⁴  on the bottom.  They can be cancelled.

So here's what we have left now:

                                         <span>2              /  m⁴           q⁻³

That's IT !  After only some cancelling.


We can take the  q⁻³  out of the denominator,</span>
and make it  q³  in the numerator.  
And here's what we have now:  

                                       <span>2  q³  /  m⁴   .

And I think that's really the end.
It looks much better now.
</span>
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The lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 h
DaniilM [7]

Answer:

Probability that a battery will last more than 19 hours is 0.0668.

Step-by-step explanation:

We are given that the lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 hours.

<em>Let X = lifetime of a battery in a certain application</em>

So, X ~ N(\mu=16,\sigma^{2} =2^{2})

The z-score probability distribution for normal distribution is given by;

               Z = \frac{  X -\mu}{\sigma}  ~ N(0,1)

where, \mu = mean lifetime = 16 hours

            \sigma = standard deviation = 2 hours

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, the probability that a battery will last more than 19 hours is given by = P(X > 19 hours)

  P(X > 19) = P( \frac{  X -\mu}{\sigma} > \frac{19-16}{2} ) = P(Z > 1.50) = 1 - P(Z \leq 1.50)

                                              = 1 - 0.9332 = 0.0668

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.50 in the z table which has an area of 0.9332.</em>

Hence, the probability that a battery will last more than 19 hours is 0.0668.

5 0
3 years ago
Rewrite the equation in Ax+By=C form.<br><br> Use integers A, B, and C.<br><br> y+5=5(x-3)
Kaylis [27]

y+5=5(x-3)\\ y+5=5x-15\\ 5x-y=20

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3 years ago
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ivanzaharov [21]
Your answer will be B 12.5% because there's one whole that equals 10 and the second box that has 2 and a half that's equals 2.5 and then you add them together...

10+2.5=12.5

So your answer is B 12.5.
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2 years ago
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What is the area of the triangle?​
Tpy6a [65]

Answer:

20.25

Step-by-step explanation:

To find the area of a triangle you do base x height/2

9x4.5/2

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3 years ago
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