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inessss [21]
3 years ago
6

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2

+ (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Mathematics
2 answers:
Neporo4naja [7]3 years ago
7 0

Answer:

A & E

x2 + (y – 3)2 = 36

x2 + (y + 8)2 = 36

olga55 [171]3 years ago
3 0

Answer:

x^2 + (y – 3)^2 = 36

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

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

If the center lies on the y-axis, then h = 0:  (x - 0)^2 + (y - k)^2 = r^2

If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36

So, among the given equations, your

x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).

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The National Health Interview Survey conducted of 33,326 adults by the U.S. National Center for Health Statistics in 2003 indica
ra1l [238]

Answer:

Step-by-step explanation:

Hello!

You have the data of two The National Health Interview Survey conducted in 1991 and 2003 by the U.S. National Center for Health Statistics.

Let

X₁: The number of adults that were smokers in 1991

n₁= 42000

p'₁= 0.256

X₂: The number of adults that were smokers in 2003

n₂= 33326

p'₂= 0.214

The parameter of interest is the difference between the population proportion of adult smokers in 1991 and the population proportion of adult smokers in 2003, symbolically: "p₁ - p₂"

a) The point estimate of "p₁ - p₂" ios the difference between the sample proportions:

p'₁ - p'₂= 0.256-0.214= 0.042

b) and c)

To estimate the difference of proportions using a CI, you have to apply the central limit theorem and approximate the distribution of the sample proportions to normal. for this approximation to be valid, the sample size for both populations should be high enough (n≥30) and the populations should be at least 20 times bigger than the sample taken. Both samples should be random and independent. Each sample must have at least 10 successes and at least 10 failures. If all conditions are met you can calculate the 99% CI as:

(p'₁-p'₂)±Z_{1-\alpha /2} * \sqrt{\frac{p'_1(1-p'_1){n_1} +\frac{p'_2(1-p'_2)}{n_2} }

Z_{1-\alpha /2}= Z_{0.995}= 2.586

(0.042) ± 2.586* \sqrt{\frac{0.256*0.744}{42000} +\frac{0.214*0.786}{33326} }

[0.034; 0.050]

Using a 99% confidence level you'd expect that the interval [0.034; 0.050] will include the true value of the difference between the proportion of adult smokers in 1991 and the proportion of adult smokers in 2003.

I hope this helps!

7 0
3 years ago
Eighty percent of a number.?as a alegrabatic expression.
Andrews [41]

Answer:

\frac{4}{5} x

or

0.8x

Step-by-step explanation:

80\% \: of \: x =  \frac{80}{100}x \\  \frac{80}{100}  x =  \frac{8}{10}x =  \frac{4}{5}  x = 0.8x

6 0
3 years ago
What fits with them
Ilya [14]

Answer:

I am not sure can't see the answer choices but pretty sure its rhombus

Step-by-step explanation:

.

5 0
3 years ago
What is the effect on the graph of the function f(x) = 2x when f(x) is changed to f(3x)?
zheka24 [161]
F(x)=2x
f(3x)=2*(3x)=6x the slope will be bigger, so it will grow faster

3 0
3 years ago
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Matt took a taxi from his home to the airport. The taxi driver charged an initial fee of $6.75 plus $2.20 per mile. The total fa
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Answer11

Step-by-step explanation:

30.95-6.75 is 24.20 now 24.20 divided by 2.20 is 11

3 0
3 years ago
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