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2 years ago

Determine the equation of the circle graphed below.

Mathematics

1 answer:

MrMuchimi2 years ago

7 0

Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2

(h, k) = center of the circle

r = radius of the circle

Center = (2, 0)

Radius = 7

Equation: (x - 2)^2 + (y - 0)^2 = 49

Answer: (x - 2)^2 + y^2 = 49

Hope this helps!

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Help me find the scale factor

Andrews [41]

Answer:

1.5

Step-by-step explanation:

of the similar shapes you are only given the lengths of two corresponding sides, 22mm and 33mm

if you do 33/22 you get 1.5 so your scale factor is 1.5

(in order to go from the original shape to the copy times by 1.5, and divide if you know the length of the copy and want to work out the original)

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3 years ago

The Acculturation Rating Scale for Mexican Americans (ARSMA) is a psychological testdeveloped to measure the degree of Mexican/S

maria [59]

Answer:

95% confidence interval for the mean ARSMA score for first-generation Mexican Americans

(2.13264 , 2.58736)

Step-by-step explanation:

Step(i):-

Mean of the Population = 3.0

Standard deviation of the Population = 0.8

Given Mean of the sample(x⁻ ) = 2.36

Standard deviation of the sample (S) = 0.8

size of the sample = 50

Level of significance =0.05

Degrees of freedom = n-1 = 50-1 = 49

$t_{\frac{0.05}{2} , 49} = 2.0096$

Step(ii):-

95% confidence interval for the mean ARSMA score for first-generation Mexican Americans

$(x^{-} - t_{(\frac{\alpha }{2},df )} \frac{S}{\sqrt{n} } , (x^{-} +t_{(\frac{\alpha }{2},df )} \frac{S}{\sqrt{n} })$

$(2.36 - 2.0096 \frac{0.8}{\sqrt{50} } , 2.36 +2.0096\frac{0.8}{\sqrt{50} })$

( 2.36 - 0.22736 , 2.36 + 0.22736)

(2.13264 , 2.58736)

Final answer:-

95% confidence interval for the mean ARSMA score for first-generation Mexican Americans

(2.13264 , 2.58736)

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