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2 years ago

Write an equation of the circle with center (2, -9) and radius 3.

Mathematics

1 answer:

KiRa [710]2 years ago

8 0

Answer:

$c = {g}^{2} + {f}^{2} + {r}^{2} \\ c = {2}^{2} + {( - 9)}^{2} + {3}^{2} \\ c = 94 \\ = > \: {x}^{2} + {y}^{2} - 4x + 18y + 94 = 0$

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3 years ago

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olasank [31]

Answer:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3$

Step-by-step explanation:

Information given

$\bar X=9.41$ represent the sample mean

$s=0.24$ represent the sample standard deviation

$n=81$ sample size

$\mu_o =9.33$ represent the value to verify

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is higher than 9.33, the system of hypothesis would be:

Null hypothesis: $\mu \leq 9.33$

Alternative hypothesis: $\mu > 9.33$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3$

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