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Answer: 1/17
Step-by-step explanation:
First and foremost, we should note that there are 13 diamonds in a standard deck of 52 cards.
If the first card is drawn, the probability of picking a diamond is 13/52. Since it's not replaced, when another one is picked, the probability that it will be diamond will be 12/51.
We then multiply both together. This will be:
= 13/52 × 12/51
= 1/4 × 4/17
= 1/17
Answer:
x=18√6 , y=36√2
Step-by-step explanation:
![{z}^{2} = 18 {}^{2} + 18 {}^{2} - 2(18)(18) \cos(90 ) \\ z = 18 \sqrt{2 } \\ \frac{x}{ \sin(60) } = \frac{z}{ \sin(30) } \\ x = 18 \sqrt{6} \\ \frac{y}{ \sin(90) } = \frac{z}{ \sin(30) } \\ y = 36 \sqrt{2}](https://tex.z-dn.net/?f=%20%7Bz%7D%5E%7B2%7D%20%20%3D%2018%20%7B%7D%5E%7B2%7D%20%20%2B%2018%20%7B%7D%5E%7B2%7D%20%20-%202%2818%29%2818%29%20%5Ccos%2890%20%29%20%20%5C%5C%20z%20%3D%2018%20%5Csqrt%7B2%20%7D%20%20%5C%5C%20%20%5Cfrac%7Bx%7D%7B%20%5Csin%2860%29%20%7D%20%20%3D%20%20%5Cfrac%7Bz%7D%7B%20%5Csin%2830%29%20%7D%20%20%5C%5C%20x%20%3D%2018%20%5Csqrt%7B6%7D%20%20%5C%5C%20%20%5Cfrac%7By%7D%7B%20%5Csin%2890%29%20%7D%20%20%3D%20%20%5Cfrac%7Bz%7D%7B%20%5Csin%2830%29%20%7D%20%20%5C%5C%20y%20%3D%2036%20%5Csqrt%7B2%7D%20)
It is not possible if so it wouldn’t be iscosceles
Answer:
Step-by-step explanation:
This is permutation question
<u>The formula for it: </u>
- N = b!/(b-s)!, where N- number of ways, b- number of books, s- number of slots
<u>Finding the answer:</u>
- N = 7!/(7-5)! = 7!/2! = 7*6*5*4*3 = 2520