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swat32
3 years ago
5

20x^2-30=4x solve for x

Mathematics
2 answers:
ankoles [38]3 years ago
8 0

Answer:

x=1.3288 or -1.1288

Step-by-step explanation:

Given 20x^{2}-30=4x

    Subtract 4x from both sides

         20x^{2}-4x-30=0

Since we can factor out 2 from whole equation, let's factor out 2.

         2(10x^{2}-2x-15)=0

Divide with 2 on both sides

         10x^{2}-2x-15=0

We got the quadratic equation, we can solve for x using quadratic formula.

x=\frac{-b\pm\sqrt{b^{2}-4ac} } {2a}

x=\frac{2\pm\sqrt{2^{2}-4X10X(-15)} } {2X10}

x=\frac{2\pm\sqrt{604} }{20}

x=\frac{2\pm2\sqrt{151}}{20}

x=1.3288or-1.1288


Vanyuwa [196]3 years ago
6 0
Mmmm let me think about it
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Step-by-step explanation:

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Best of Luck!

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An accounting firm is planning for the next tax preparation season. From last years returns, the firm collects a systematic rand
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Answer:

a)From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

b) We want this probability:

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And we can use the z score formula given by:

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And replacing we got:

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And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Part a

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

Part b

We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

4 0
3 years ago
In which of the following drawings is DE parallel to AC?
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Answer:

its option D because the lines are not even close to crossing.

Step-by-step explanation:

hope this helps :)

5 0
3 years ago
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