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o-na [289]
2 years ago
9

Find the solution of these two equations. Y=1/5x-7 and y=-x-1

Mathematics
1 answer:
marusya05 [52]2 years ago
7 0

Answer:For the first one it would be x=35

And the 2nd one would just be x=-1

Step-by-step explanation:

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A cylinder's volume can be calculated by the formula V=Bh, where V stands for volume, B stands for base area, and h stands for h
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Answer:

h = 3x^5-3x^2-10\text{ units}

Step-by-step explanation:

We are given the following in the question:

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Volume of cylinder =

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We have to find height of cylinder.

h = \dfrac{V}{B}\\\\h = \dfrac{6\pi x^7-6\pi x^4-20\pi x^2}{2\pi x^2}\\\\h = 3x^5-3x^2-10\text{ units}

Thus, the height of cylinder is 3x^5-3x^2-10 units.

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<h2><u>Answer with explanation:</u></h2>

Let \mu be the population mean strain in a way that conveys information about precision and reliability.

The sample mean is the best point estimate of the true population mean .

As per given , we have

Sample size : n= 12

degree of freedom : df=12-1=11

Sample mean : \overline{x}=25.0

The true average strain in a way that conveys information about precision and reliability= 25.0

sample standard deviation : s= 3.3

Significance level : \alpha= 0.05

Since sample population standard deviation is unknown , so we use t-test.

Critical t-value for t : t_{\alpha/2, df}=t_{0.025, 11}=2.201

95% Confidence interval for true average strain in a way that conveys information about precision and reliability:

\overline{x}\pm t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}

25.0\pm (2.201)\dfrac{3.3}{\sqrt{12}}\\\\=\approx 25.0\pm2.10\\\\=(25.0-2.10, 25.0+2.10)=(22.9,\ 27.1)

The 95% Confidence interval for true average strain in a way that conveys information about precision and reliability: (22.9,\ 27.1)

We 95% confident that the true population average strain in a way that conveys information about precision and reliability lies between 22.9 and 27.1 .

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