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Setler [38]
3 years ago
9

You have a 1 in 4 chance of winning a game. How would you calculate the probability that you will win 3 times in a row?

Mathematics
1 answer:
klemol [59]3 years ago
8 0

If you have a 1/4 chance of winning, and you win, the next time you win the odds double to 1/8. If you win 1/8, then the odds of winning 3 times in a row are now 1/16, And so on.

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Find the center and the radius of the circle with the equation .
Simora [160]

We have been given an equation of circle x^2+2x+y^2-2y-14=0. We are asked to find the center and radius of the circle.

First of all, we will write equation of circle is standard form (x-h)^2+(y-k)^2=r^2, where center of circle is at point (h,k) and radius is r.

Let us complete the square for both x and y.

x^2+2x+y^2-2y-14+14=0+14

x^2+2x+y^2-2y=14

Adding half the square of coefficient of x and y term, we will get:

(\frac{2}{2})^2=1^2=1

(\frac{-2}{2})^2=(-1)^2=1

x^2+2x+1+y^2-2y+1=14+1+1

(x+1)^2+(y-1)^2=16

(x-(-1))^2+(y-1)^2=4^2

Therefore, the center of the circle is (-1,1) and radius is 4 units.

4 0
3 years ago
What is the polynomial function of lowest degree with rational real coefficients, and roots -3 and square root of 6?
telo118 [61]

9514 1404 393

Answer:

  f(x) = x³ +3x² -6x -18

Step-by-step explanation:

In order for there to be a root of √6, there must be a factor of (x-√6). In order for there to be rational coefficients, there needs to be another factor of (x+√6) in the minimal polynomial. Then the minimal polynomial with the required roots is ...

  f(x) = (x +3)(x -√6)(x +√6) = (x +3)(x² -6)

  f(x) = x³ +3x² -6x -18

4 0
2 years ago
I need help with the question below
Butoxors [25]

Answer:

a: 1/12

b: 1/6

c: 1/2

d: 1/2

e: 1/12

f: 1/3

Step-by-step explanation:

3 0
3 years ago
When factoring the equation 9x2+9x+2 what two numbers will the "9x" term be broken into?
Andrew [12]

Answer:

it will be broken into 9*what ever x is

Hope This Helps!!!

6 0
2 years ago
Read 2 more answers
Pregunta 4 (1 punto)
Yuliya22 [10]

Answer:

7....................

3 0
2 years ago
Read 2 more answers
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