The stack of cards are 1 inch tall all together taking up 8 inch’s (cubed)or half of the space
Divide the top number and the bottom number by a number they both have in common
Answer:
(-∞,∞)
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:
3x+4 = 5x-6
3x+10 = 5x
10 = 2x
x = 5
Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:
(3*(5)+4)*2
=(15+4)*2
=19*2
=28
(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)
Therefore, the length of AC is 28.
Answer:
10%
Step-by-step explanation:
Since the question is not complete, I will be solving for probability of 3 9s
To solve this, we would be using the principle of combination, and thus
A deck of 52 hours has 4 nines, the probability that it contains at least 3 9s is mathematically represented by the equation.
P ( x ≥ 3 ) = ( 48 C 10 · 4 C 3 ) / ( 52 C 13 ) + ( 48 C 9 · 4 C 4 ) / ( 52 C 13 )
Remember I told us were going to be using the principle of combination. Well then
nCr = n!/r!(n - r)!
Now, applying the above stated formula to the equation, we have
48C10 = 48!/10!(38!)
4C3 = 4!/3!(1!)
52C13 = 52!/13!(39!)
48C9 = 48!/9!(39!)
4C4 = 4!/4!(0!)
Solving for each independently, we find that
= 0.0412 + 0.588 = 0.1
