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Triss [41]
3 years ago
13

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

Mathematics
1 answer:
rewona [7]3 years ago
8 0
Three cards are selected from a standard deck of <span>52 </span><span>cards. Disregarding the order in which they are drawn, the possible outcomes are </span><span><span>(<span>52/3</span>)</span></span><span>. Out of these, how many include all cards of the same color (say red)? There are </span><span><span>(<span>13/3</span>)</span></span><span> ways in which you can get all 13 red cards.</span>
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Sqrt(2x-6)=3-x<br> 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]
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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
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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
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