Answer: ![\dfrac{1}{5525}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B5525%7D)
Step-by-step explanation:
The total number of cards =52
The number of kings in the cards = 4
If repetition is not allowed , then the total number of ways of choosing 3 cards will be :-
![52\times51\times50=132600](https://tex.z-dn.net/?f=52%5Ctimes51%5Ctimes50%3D132600)
The number of ways of choosing 3 kings will be :-
![4\times3\times2=24](https://tex.z-dn.net/?f=4%5Ctimes3%5Ctimes2%3D24)
Now, the probability of choosing 3 king cards will be :-
![\dfrac{24}{132600}=\dfrac{1}{5525}](https://tex.z-dn.net/?f=%5Cdfrac%7B24%7D%7B132600%7D%3D%5Cdfrac%7B1%7D%7B5525%7D)
Hence, the probability of choosing 3 king cards =![\dfrac{1}{5525}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B5525%7D)
Answer:
- Infinitely many solutions
Step-by-step explanation:
- 3(x + 10) + 6 = 3(x + 12)
- 3x + 30 + 6 = 3x + 36
- 3x - 3x = 36 - 36
- 0 = 0
This equation has infinitely many solutions as for any value of x we have same result
Answer:
47 degrees
Step-by-step explanation:
The sum of angles in a triangle must be 180
32+101+x=180
133+x=180
x=47.
A) x^2 +x -30 = 0 is factored by looking for two factors of 30 that differ by 1. We know ... 30 = 1*30 = 2*15 = 3*10 = 5*6The last two factors differ by 1, so we can factor the trinomial as (x +6)(x -5) = 0
b) The solutions are found by finding values of x that make these factors zero. The only way the product will be zero is if one or more of the factors is zero. x + 6 = 0 x = -6 . . . . . subtract 6
x - 5 = 0 x = 5 . . . . . add 5
The solutions are x = -6 or x = 5These are the values of x that will satisfy the equation (make it true). What they mean depends on the meaning of the variable and the situation the equation is a model of.