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3 years ago

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

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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HELP<br> Please<br> Please<br> im failing

Reptile [31]

Answer:

6.9

7.-5

8.-10

Step-by-step explanation:

3 0

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
Expand the parentheses
7y+21=5y+8
Subtract both sides by 21
7y+21-21=5y+8-21
7y=5y-13
Subtract both sides by 5y
7y-5y=5y-13-5y
2y=-13
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
7(-6.5+3)=5(-6.5)+8
Expand the parentheses
-45.5+21=-32.5+8
-24.5=-24.5

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

Lady bird [3.3K]

For the first 25 If they all share 25 pounds to a pound each the second I don’t understand

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:

-11 - 3= -14 and the denominator stays the same.

3 0

3 years ago