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MA_775_DIABLO [31]
3 years ago
10

83. A given circle has a

Mathematics
1 answer:
Llana [10]3 years ago
3 0
Answer: the circles radius is 2

The equation for circumference of a circle is 2*pi*r
And the equation for the area of a circle is pi*r^2

The only way both of these equations can be true is if 2r(pi)=(pi)r^2
Or
2r=r^2

And when is the square of a number equal to two times the number? When the number is 2

So the radius must be 2
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Answer:

The 80% confidence interval for difference between two means is (0.85, 1.55).

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for difference between two means is:

CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2,(n_{1}+n_{2}-2)}\times SE_{\bar x_{1}-\bar x_{2}}

Given:

\bar x_{1}=M_{1}=6.1\\\bar x_{2}=M_{2}=4.9\\SE_{\bar x_{1}-\bar x_{2}}=0.25

Confidence level = 80%

t_{\alpha/2, (n_{1}+n_{2}-2)}=t_{0.20/2, (5+5-2)}=t_{0.10,8}=1.397

*Use a <em>t</em>-table for the critical value.

Compute the 80% confidence interval for difference between two means as follows:

CI=(6.1-4.9)\pm 1.397\times 0.25\\=1.2\pm 0.34925\\=(0.85075, 1.54925)\\\approx(0.85, 1.55)

Thus, the 80% confidence interval for difference between two means is (0.85, 1.55).

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