There are 
ways of drawing a 4-card hand, where
is the so-called binomial coefficient.
There are 13 different card values, of which we want the hand to represent 4 values, so there are 
ways of meeting this requirement.
For each card value, there are 4 choices of suit, of which we only pick 1, so there are 
ways of picking a card of any given value. We draw 4 cards from the deck, so there are 
possible hands in which each card has a different value.
Then there are 
total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is
Answer:
14.387
Step-by-step explanation:
Answer:
ASA
Step-by-step explanation:
The triangles are already given 1 congruent corresponding angle and 1 congruent corresponding side. However, there are vertical angles at the point where the triangles intersect, meaning that they are congruent.
So now you have 2 congruent corresponding angles. But they're in the order of Angle-Side-Angle (ASA).
Answer:
682
Step-by-step explanation:
620, percentage decreased by - 10% (percent) of its value = 682
#5 is very nicely and correctly done.
#7 says: "No matter what X may be, this function of it is always 9 more than 1/2 of X .".
That's a very powerful statement. Now you know that if X is ever 2, the function will be 1/2(2)+9 which is 10.
If X is ever zero, the function will be 1/2(0)+9 which is 9. If X is ever a cow, the function will be 1/2 of a cow, plus the number 9. Which makes no sense, but that's what the function says.
So, when X is -8, the function is 1/2 of -8, plus 9. Which is 5 ... the 'f' of -8.
Whatever X happens to be at the moment, just write that number in place of X in the function, and it'll show you the function of what X is.
f(a bazillion) = 1/2(a bazillion) + 9 .
f(a-28) = 1/2(a-28) + 9 (but simplify it)
