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3 years ago

2y = x + 10 3y = 3x + 15

1 answer:

6 0

{2y = x + 10
{3y = 3x + 15 |:3

{2y = x + 10
{y = x + 5

{2(x+5) = x + 10
{y = x + 5

{2x+10 = x + 10
{y = x + 5

{2x - x = 10 - 10
{y = x + 5

{x = 0
{y = x + 5

{x = 0
{y = 5

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WINSTONCH [101]

Answer:

Probability of Alice win the game is $\frac{6}{11}$

Step-by-step explanation:

When a die is rolled then probability of getting 6 is $=\frac{1}{6}$

So probability of winning the game $P(W)=\frac{1}{6}$

Now probability of losing the game $P(L)=1-\frac{1}{6}=\frac{5}{6}$

It is given that Alice starts the game

So either Alice win the game in 1st attempt or 3rd or 5th .....

So probability that Alice win the game $=P(W)+P(L)P(L)P(W)+P(L)P(L)P(L)P(L)P(W)+.....$

So $P(w)=\frac{1}{6}+\frac{5}{6}\times \frac{5}{6}\times \frac{1}{6}+\frac{5}{6}\times \frac{5}{6}\times\frac{5}{6} \times \frac{5}{6}\times \frac{1}{6}......$

Now taking $\frac{1}{6}$ common and applying sum of infinite GP $P(W)=\frac{1}{6}\times \frac{1}{1-\frac{25}{36}}=\frac{1}{6}\times \frac{36}{11}=\frac{6}{11}$

Probability of Alice win the game is $\frac{6}{11}$

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3 years ago

A circle is defined by the equation: x^2 + y^2 – x – 2y – 11/4 = 0. Determine the coordinates for the center of the circle and t

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x^2 + y^2 – x – 2y – 11/4 = 0
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Using completing the square method:

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Answer:

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3 years ago

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IrinaK [193]

It is 36
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3 years ago

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3 years ago

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