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11111nata11111 [884]
2 years ago
13

Describe the nature of the roots for this equation. 3x^2+x-5= 0

Mathematics
2 answers:
Colt1911 [192]2 years ago
7 0

Answer:

two real,irrational roots.

GOOD LUCK!

Step-by-step explanation:

m_a_m_a [10]2 years ago
4 0

Answer:

<h2>This equation has no natural roots.</h2>

Step-by-step explanation:

3x^2+x-5=0\\\\\text{Use the quadratic formula for}\ ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{For the given equation:}\\\\a=3,\ b=1,\ c=-5\\\\b^2-4ac=1^2-4(3)(-5)=1+60=61\\\\x=\dfrac{-1\pm\sqrt{61}}{(2)(3)}=\dfrac{-1\pm\sqrt{61}}{6}\notin\mathbb{N}

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Answer:

Option D. 5 EE 6 ÷ 6.6 EE 4

Step-by-step explanation:

Data obtained from the question include the following:

Area of land purchased = 6.6×10^4 square miles

Cost = $ 5×10^6

To determine the key strokes on a calculator which will give the cost the

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This can be obtained as follow:

6.6×10^4 sq mile = $ 5×10^6

Therefore,

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In calculator, the key strokes will be:

5 EE 6 ÷ 6.6 EE 4

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Answer:

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\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And the confidence interval is given by:

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Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

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Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

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\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

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Answer:

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Step-by-step explanation:

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