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3 years ago

Three cards are chosen at random from a standard 52-card deck. What is the probability that they are not all the same color?

1 answer:

8 0

Three cards are selected from a standard deck of 52 cards. Disregarding the order in which they are drawn, the possible outcomes are (52/3). Out of these, how many include all cards of the same color (say red)? There are (13/3) ways in which you can get all 13 red cards.

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Sqrt(2x-6)=3-x Solve for x

soldi70 [24.7K]

Answer:

x = 3

Step-by-step explanation:

$\sqrt{2x - 6} = 3 - x$

Square both sides of the equation

$2x - 6 = (3 - x)^{2} = 9 - 6x + x^{2} \\$

$x^{2} - 8x + 15 = 0\\$

(x - 3)(x - 5) = 0

x = 3 or 5

Now, you must always check your results because a result may not satisfy the original equation.

If x = 3, then $\sqrt{2x - 6} = \sqrt{2(3) - 6} = \sqrt{6 - 6} = \sqrt{0} = 0$ and 3 - x = 3 - 3 = 0

So 3 satisfies the original.

If x = 5, then $\sqrt{2(5) - 6} = \sqrt{10 - 6} = \sqrt{4} = 2$ , but 3 - x = 3 - 5 = -2. Therefore, 5 does NOT satisfy the original equation.

That means that x = 3 is the solution to the equation.

5 0

3 years ago

Who is the president of India?

Oduvanchick [21]

The President of India is the formal Head of State, head of the executive and legislature of India and is the commander-in-chief of the Indian Armed Forces. Pranab Kumar Mukherjee born on December 11, 1935 is the 13th and current President of India, in office since July 2012.

8 0

3 years ago

Read 2 more answers

In the Pacific Ocean, the Philippine Trench is 10.047 kilometers deep. In the Atlantic Ocean the Brazil Basin is 6.119

Goshia [24]

Answer:

The Philippine Trench in the Pacific Ocean is 10.05 kilometers deep. The Brazil Basin in the Atlantic Ocean is 6.12 kilometers deep.

Step-by-step explanation:

4 0

3 years ago

Which of the following is a linear function

Feliz [49]

Answer:

f(x)=5x-6

Step-by-step explanation:

When I entered this in Desmos it crossed through the line crossed through the x and y axis which makes this equation a linear function.

3 0

3 years ago

Read 2 more answers

The sum of two numbers is 53 and the difference is 11. What are the numbers?

vaieri [72.5K]

Let assume that the the two numbers are X and Y and that X is the large number.
According to the question,
X + Y = 53 .................. Equation 1
then, X = 11 + Y........... Equation 2
Substitute equation 2 into equation 1.
[11 + Y] + Y = 53
11 + 2Y = 53
2Y = 53 - 11 = 42
2Y = 42
Y = 42 / 2 = 21,
Therefore, Y = 21 [Small number].
According to equation 1,
X +Y = 53
X + 21 = 53
X = 53 - 21 = 32.
Therefore, X = 32 [Big number].

4 0

3 years ago