Answer:
The probability is about 7.7%
Step-by-step explanation:
A probability is the ratio of the number of relevant outcomes and the number of all possible outcomes. To answer this question we do some counting first:
Consider two draws. We are interested in the second draw being an Ace, the first draw can either be an Ace or not, so, there are two cases of a relevant outcomes (all without replacement):
(number of relevant oucomes n ) = (number of cases of Ace-Ace draws) + (number of cases of NonAce-Ace draws):
(number of possible outcomes) = (number of choices at first draw) * (number of choices at second draw) = 52 * 51 = 2652
The probability is then
P = 204/2652 = 0.0769, or about 7.7%
Answer:
x = 10
Step-by-step explanation:
Use Pythagorean theorem to find the value of x
Focus only on one half of the triangle
if we slice the triangle in half, we get a right angle triangle
the base will now be 12/2 = 6
Pythagorean theorem says that
plug 6 as a and 8 as b.
this should give you 100
now take the square root to find c (which equals x)
Ta-da!
We are given:
Our goal in solving for any variable, in this case is x, we need to isolate x on one side of the variable. Let's start by subtracting 7x from both sides, which will cancel the +7x on the right side. We are then left with:
Now, we want to move that +10 to the other side so our x is all by itself. Let's subtract 10 from both sides, which will cancel the +10 on the right leaving us with:
Since we cannot have a coefficient when solving for x, we need to divide both sides by -3.
When we divide, our answer is:
