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Andreas93 [3]
3 years ago
15

Geometry question please help, any help is appreciated!

Mathematics
1 answer:
raketka [301]3 years ago
6 0
Equation of the circle is
(x-h)² + (y-k)² = r²,

where (h, k) are coordinates of the center of the circle.
(h,k)= (0,-2)
radius r= 6

(x-0)² +(y-(-2))²=6²

x² + (y+2)² = 36
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7. (ASV, Exercise 2.20 ) - 3 points. A fair die is rolled repeatedly. Use precise notation of probabilities of events and random
Korvikt [17]

Answer:

0.9646 ; 0.5685

Step-by-step explanation:

Given that :

P(obtaining 3 on a die roll) = 1/6 = 0.1667

Obtaining 3 at most 2 times in five trials

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

n = 5 ;, p = 0.1667

P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)

Using the binomial probability :

P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608

P(x ≤ 2) = 0.9646

B.) using geometric distribution :

(1 - p)^x-1 * p

P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)

1 - (0.1667 + 0.1157+0.0965+0.0804)

= 0.5685

8 0
3 years ago
Point B has coordinates ​(3​,2​). The​ x-coordinate of point A is negative 9. The distance between point A and point B is 15 uni
kumpel [21]

Answer:

(-9,9) or (-9,-7) are the possible coordinates

Step-by-step explanation:

We can use the formula for the distance between two points to get this

Mathematically, this can be;

d = √(x2-x1)^2 + (y2-y1)^2

Now let our point A be (x1,y1) = (-9,n)

let’s say y1 is n for now

For point B, we have (x2,y2) = (3,2)

and our d is 15 units

Inputing the values, we have

15^2 = (3+9)^2 + (2-n)^2

225 = 144 + (2-n)^2

225-144 = (2-n)^2

(2-n)^2 = 81

(2-n) = √(81)

2-n = -9

or 2-n = 9

n = 11 or n = -7

Now the possible coordinate values of point A are;

(-9,9) or (-9,-7)

6 0
3 years ago
Read 2 more answers
What area formula does a triangle have?
ANTONII [103]

Answer:

The area of a triangle can be found using:

a=1/2 bh

or

a=(bh)/2

where b is the base and h is the height

7 0
3 years ago
Read 2 more answers
What number can be used to complete the volume statement for the cone below?
saul85 [17]
Volume =16.89cm squares
8 0
3 years ago
What is each percent of change? Round to the nearest whole percent if
Kipish [7]

Answer:

Its an increase

30 to 90

I= 100 x (f-i)/i

I= 100 x 90-30/30

I= 100 x 2

200% increase

3 0
2 years ago
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