Answer:
0.2907
Step-by-step explanation:
Given that you are seated next to a stranger on an airplane and you start discussing various topics such as where you were born (what state or country), what your favorite movie of all time is, your spouse's occupation, and so on.
Since each topic is independent we find that probability for success in each topic = constant = 1/50 = 0.02
X no of topics that match is binomial with n = 17 and p = 0.02
Required probability
= Probability to find that you match on at least one of them
=
It would not be surprising as probability is reasonably large.
Simplify brackets
10x - 4 = 8x + 14
Add 4 to both sides
10x = 8x + 14 + 4
Simplify 8x + 14 + 4 to 8x + 18
10x = 8x + 18
Subtract 8x from both sides
10x - 8x = 18
Simplify 10x - 8x to 2x
2x = 18
Divide both sides by 2
x = 18/2
Simplify 18/2 to 9
<u>x = 9</u>
<span>To provide consistent ways to identify and classify organisms as they are being studied.</span>
Answer:
1/4
Step-by-step explanation:
1st: you need to make a common denominator for 2/3 and 11/12 that would be 12, so you would keep 11/12 how it is but multiply the numerator and the denominator by 4 to get it to 12.
You would have ;
8/12+___=11/12
Then just do 11/12-8/12
so that would simplify out to 1/4
Answer:
The vertex (h,k) is (-4,-7).
Step-by-step explanation:
I assume you are looking for the vertex 
.
The vertex form of a quadratic is 
where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.
Anyways if you compare to , you should see that 
.
So the vertex (h,k) is (-4,-7).
