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2 years ago

Write the equation for a circle that satisfies the given conditions.

Mathematics

1 answer:

Alisiya [41]2 years ago

4 0

The standard form of a circle is:

$(x-a)^2+(y-b)^2=r^2$

Your center is $(-10, -6)$ and your radius is $9$

Plug them into the equation and you get

$(x-(-10))+(y-(-6)) = 9^2$

$(x+10)^2 + (y+6)^2=81$

The correct answer is D.

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3 years ago

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3 years ago

What's the answer of 13846+8273636-3763x8273736

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3 years ago

Assume that a sample is used to estimate a population proportion μ . Find the margin of error M.E. that corresponds to a sample

hichkok12 [17]

Answer:

$MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\$

Step-by-step explanation:

Since the sample size is quite large, we can use the z-distribution.

The margin of error is given by

$MoE = z_{\alpha/2}(\frac{s}{\sqrt{n} } )$

Where n is the sample size, s is the sample standard deviation and $z_{\alpha/2}$ is the z-score corresponding to a 90% confidence level.

The z-score corresponding to a 90% confidence level is

Significance level = α = 1 - 0.90= 0.10/2 = 0.05

From the z-table at α = 0.05

z-score = 1.645

$MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\$

Therefore, the margin of error is 0.776.

3 0

2 years ago

Help please answer questions below

djverab [1.8K]

3/8 is0.375 so it would stay as 2 and 5/6 is 0.8333 so it rounds up to 9
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3 years ago