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2 years ago

Write the equation of each circle. center at (-4, 3), radius 9

Mathematics

2 answers:

KatRina [158]2 years ago

7 0

Answer:

(x-h)²+(y-k)²=r²

putting respective value

(x--4)²+(y-3)²=9²

(x+4)²+(y-3)²=81

k0ka [10]2 years ago

3 0

Answer:

(x + 4)^2 + (y - 3)^2 = 9^2

Step-by-step explanation:

Here our center is at (-4, 3), so h = -4 and k = 3. Radius, r, is 9.

Insert these values into the standard equation of a circle centered at (h, k) with radius r:

(x - h)^2 + (y - k)^2 = r^2 becomes:

(x + 4)^2 + (y - 3)^2 = 9^2

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kenny6666 [7]

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Step-by-step explanation:

The formula to find the sample size is given by :-

$n= p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

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$z_{\alpha/2}$ = Two-tailed z-value for $\alpha$ (significance level).

E= Margin of error .

Given : Margin of error = 0.03

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$\alpha=1-0.90=0.10$

By z-value table : $z_{\alpha/2}=z_{0.05}=1.645$

a) The president's political advisors estimated the proportion supporting the current policy to be : p= 0.06.

Required sample size :

$n= 0.06(1-0.06)(\dfrac{1.645}{0.03})^2$

$n=0.0564(3006.6944)$

$n=169.57756416\approx170$

∴ Required sample size = 170

b) If no prior estimate of population proportion is given , then we assume

p= 0.5

Required sample size :

$n= 0.5(1-0.5)(\dfrac{1.645}{0.03})^2$

$n=0.25(3006.6944)$

$n=751.6736\approx752$

∴ Required sample size = 752

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3 years ago