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yaroslaw [1]
3 years ago
5

A roulette wheel has 38 pockets numbered 0,00,and 1 to 36. Of all 38 pockets 18 are red, 18 are black and 2 are green. Each time

the wheel is spun, a ball lands in one of the pockets, and each pocket is equally likely.Question: If you spin the wheel twice, what is the probability that the ball lands in a diffrent color pocket in both spins?
Mathematics
1 answer:
Fiesta28 [93]3 years ago
4 0

Answer:

P(R) = (18/38)

P(G) = (2/38)

P(B) = (18/38)

Step-by-step explanation:

Each spin is independent of the others, so the probabilities of the three possible outcomes (R,G,B) for each spin are:

P(R) = (18/38)

P(G) = (2/38)

P(B) = (18/38)

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Vlad [161]

<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}

Isolating x from equation 1:

\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}

Substituting equation 3 into equation 2 and solving for y:

\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}

6 0
1 year ago
michael made 9/12 of his free throws at practice.what is 9/12 in simplest form i really don't get simplest form
ruslelena [56]
To get simplest form you make it the smallest fraction you can make it by dividing both sides by the same number until it's not possible anymore Hope that helped!
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4 years ago
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lys-0071 [83]

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

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y = 3/2 x - 3

slope: m = 3/2

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x-intercept for y = 0. Substitute:

3/2 x - 3 = 0      <em>add 3 to both sides</em>

3/2 x = 3       <em>multiply both sides by 2/3</em>

x = 2

<h3>Answer:</h3><h3>slope = 3/2</h3><h3>y-intercept = -3</h3><h3>x-intercept = 2</h3>

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y = 3/2 x - 3 it's the same function like first function.

8 0
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Step-by-step explanation:

I find it convenient to graph the difference of the two sides of the equation. That difference is zero when the equation is satisfied. This equation has two solutions, near x = -1.7 and x = 3.5.

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The slope of a line is c. 1
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