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balu736 [363]
3 years ago
15

A card is drawn at random from a deck. what is the probability that it is an ace or a king?

Mathematics
1 answer:
hjlf3 years ago
6 0
There are 52 cards. Of this, there are 4 aces (one of each of the four suits) and 4 kings. There are 4+4 = 8 cards that are either an ace or a king (but not both). Note that the events "drawing an ace" and "drawing a king" are mutually exclusive. Being mutually exclusive means its impossible to have both events occur simultaneously for any single card.

So there are 8 cards we want (ace or king) out of 52 total

Dividing the two values, and reducing fully, gives:
8/52 = (4*2)/(4*13) = 2/13

The final answer as a fraction is 2/13
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Step-by-step explanation:

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3 years ago
How many solutions does the following equation have?
IrinaK [193]
Answer:
Exactly one solution

Explanation:
The first step we need to take to find the answer is to find the value of y.

7(y+3)=5y+8
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7y+21=5y+8
Subtract both sides by 21
7y+21-21=5y+8-21
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Subtract both sides by 5y
7y-5y=5y-13-5y
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Divide both sides by 2
2y/2=-13/2
y=-6.5

Now, we plug y back into the original equation.

7(y+3)=5y+8
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Expand the parentheses
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Because both sides of the equation is equal and the equation is true, we can conclude that the equation has one solution.

I hope this helps!
7 0
3 years ago
A group of friends is sharing 25 pounds of berries. Type the answer to each question in the boxes below. If each friend received
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4 0
2 years ago
What is the distance between points M and N?
Free_Kalibri [48]

By using <em>triangle</em> properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.

<h3>How to determine the distance between two points</h3>

In this problem we must determine the distance between two points that are part of a triangle and we can take advantage of properties of triangles to find it. First, we determine the measure of angle L by the law of the cosine:

\cos L = \frac{(19.6\,m)^{2}-(14.8\,m)^{2}-(21.4\,m)^{2}}{-2\cdot (14.8\,m)\cdot (21.4\,m)}

L ≈ 62.464°

Then, we get the distance between points M and N by the law of the cosine once again:

MN = \sqrt{(7.4\,m)^{2}+(10.7\,m)^{2}-2\cdot (7.4\,m)\cdot (10.7\,m)\cdot \cos 62.464^{\circ}}

MN ≈ 9.8 m

By using <em>triangle</em> properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.

To learn more on triangles: brainly.com/question/2773823

#SPJ1

6 0
1 year ago
What is the sum -1 1/5 + (-3/5)
son4ous [18]

Answer:

-14/5

Step-by-step explanation:

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3 0
3 years ago
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