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Vlada [557]
3 years ago
10

A bag contains 43 U.S. quarters and seven Canadian quarters. (The coins are identical in size.) If six quarters are randomly pic

ked from the bag, what is the probability of getting at least one Canadian quarter
Mathematics
1 answer:
Marrrta [24]3 years ago
6 0

Answer:

0.616

Step-by-step explanation:

The number of Us quarters is 43 while the number of Canadian quarters is 7.

The number of quarters we are to pick is 6

Mathematically, the probability of getting at least one Canadian quarter = 1 - probability of getting no Canadian quarter

This means we have to calculate the probability of getting no Canadian quarter first.

The total number of possible outcomes is 50C6 = 15,890,700

If we are to get all to be US quarters, that means we are getting exactly 6 out of 43 = 43C6 = 6,096,454

Hence, probability of no Canadian quarters is 6,096,454/15,890,700 = 0.384

The probability of at least 1 Canadian quarters is thus 1-0.384 = 0.616

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Find y (please someone answer)
Alex73 [517]

Answer:

Y=√2

Step-by-step explanation:

We can use the pathagorian theorum: A²+B²=C² now in this case it would be X²+Y²=2² we also know that  X and Y are the same number in this problem because they have the same corresponding angle (triangle angles always add to 180 and since we know 2 of the angles are 45 and 90 the remaining angle will also be 45) Because of this we can change our equation to Z²+Z²=2² (I'm using Z so that we do not confuse it with another letter we've already used) from there we can go to Z∧4=2² and then we will solve the equation. Z=√2 Z also equals X and Y therefore Y=√2

I hope this helps and please let me know if there is anything you don't understand I would be happy to clarify!

5 0
3 years ago
A table is made using the following two patterns.
Alika [10]

Answer:

    x              y

    5            20

    15           10

    45           5

Step-by-step explanation:

Pattern x:

Start with 5.

Multiply by 3: 5 * 3 = 15

Multiply by 3: 15 * 3 = 45

Pattern x:

Start with 20.

Multiply by 1/2: 20 * 1/2 = 10

Multiply by 1/2: 10 * 1/2 = 5

    x              y

    5            20

    15           10

    45           5

5 0
2 years ago
What is the surface area of a rectangular prism?<br><br>length : 3<br>width : 3<br>height = 5
elixir [45]
Since it is a rectangular prism, the front and back are the same. the sides are the same and the top and bottom are the same. You would find the area of the front and back first. Since they both have the same measurements, you can find the area of one of the faces and multiply by 2.
A=BH
A= 3x5
A=15
15x2=30
So the front and back's area is 30. Now you find the area of both sides. They are both rectangle so the formula is A=BH.
A=BH
A=3x5
A=15
15x2=30
Now you find the area of the top and bottom. It is also a rectangle so you will use the same formula.
A=BH
A=3x3
A=9
9x2=18
Finally, you add all these measurements together adn that is the surface area. 
This surface area of this rectangle prism is 78.
4 0
3 years ago
Factor: 100x^2- 81
Alex17521 [72]

Answer:

Choice 'D' (10x + 9) (10x-9) is the correct answer

Step-by-step explanation:

100x^2 - 81

This is a difference of squares...

therefore = (10x + 9) (10x - 9)

7 0
2 years ago
Lori bought a shirt and a hat at a half off sale. If she spent a total of $21 on the two items, what was the original price of t
Bad White [126]
Do 21 divided by 2 and you’ll get 10.5 so the original price was $10 and 50 cents
6 0
2 years ago
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