Answer:
I have placed it correct answers in the image above
Answer:
0.0045248 ;
0.1312218 ;
0.0001809 ;
0.1659729
Step-by-step explanation:
Number of Kings in deck = 4
Total number of cards in deck = 52
Picking without replacement :
A = King on first draw :
P(A) = 4 / 52
A = King on 2nd draw :
P(B) = 3 / 51
A = King on 3rd draw :
P(C) = 2 / 50
1.) P(A n B) = P(A) * P(B)
P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248
2.) P(A u B) = P(A) + P(B) - P(AnB)
P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218
3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)
P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809
4.) P(A U B U C) =
P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)
P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769
P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529
4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729
1 unit to the left
Check the table I attached
Answer: Choice B
12.5 < x < 18.9
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Explanation:
We have a triangle with these side lengths:
- a = 10
- b = 16
- c = x = unknown
Let's assume that b = 16 is the largest side of this triangle.
By the converse of the pythagorean theorem, we need
to be true in order for an acute triangle to happen.
So,

Now let's consider the possibility that the missing side x is actually the longest side.
Using the same theorem as before, we would say,

We found that x > 12.5 and x < 18.9
This is the same as saying 12.5 < x and x < 18.9
Put together, they form the approximate answer of 12.5 < x < 18.9