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3 years ago

(x-1)2 + (y + 3)2 = 73 What is the center ?

Mathematics

1 answer:

Olenka [21]3 years ago

3 0

Answer:

centre = (1, - 3 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 1)² + (y + 3)² = 73 ← is in standard form

with (h, k ) = (1, - 3 ) ← centre

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Given:

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Explanation:

(a)

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$\begin{gathered} P(t)=\frac{107}{267} \\ =0.4007 \end{gathered}$

(b)

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$\begin{gathered} P(v)=\frac{109}{267} \\ =0.4082 \end{gathered}$

(c)

Determine the number of people that are teen or likes the vanailla.

$\begin{gathered} v\text{ OR t=}22+43+44+39+25 \\ =173 \end{gathered}$

Determine the probability for a selected person is a teen or like the vanilla.

$\begin{gathered} P\text{ (v or t)=}\frac{173}{267} \\ =0.6479 \end{gathered}$

(d)

The number of person that is teen and likes strawberry best are 25.

Determine the probability for selected person is teen and likes strawberry best.

$\begin{gathered} P\text{ (t and s)=}\frac{25}{267} \\ =0.0936 \end{gathered}$

(e)

Determine the number of persons that are children.

$\begin{gathered} C=21+22+9 \\ =52 \end{gathered}$

Determine the number person that are children and likes strawberry best.

$\text{ C and s=}9$

So probability for the person likes the strawbwerry given that person is children is,

$\begin{gathered} P\text{ (s|C)=}\frac{P\text{ (s and c)}}{P\text{ (c)}} \\ =\frac{\frac{9}{267}}{\frac{52}{267}} \\ =\frac{9}{52} \\ \approx0.1731 \end{gathered}$

(f)

The number of persons who likes the strawberry best is,

$\begin{gathered} s=9+25+25 \\ =62 \end{gathered}$

Determine the probability for person is teen given that person likes strawberry best.

$\begin{gathered} P\text{ (}t|s\text{)}=\frac{P\text{ (t and s)}}{P(s)} \\ =\frac{\frac{25}{267}}{\frac{62}{267}} \\ =\frac{25}{62} \\ =0.4032 \end{gathered}$

Answer:

Is a teen: 0.4007

Likes vanilla the best: 0.4082

Is a teen or likes the Vanilla the best: 0.6479

Is a teen and likes the strawberry best: 0.0936

Likes strawberry the best GIVEN the person is child: 0.1732

Is a teen GIVEN that person likes the strawberry best: 0.4032

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Answer:

...........

Step-by-step explanation:

.......

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