Answer:
New position = -525 ft or 525 ft below the sea level
Step-by-step explanation:
Lets h be the height of the sea.
Given:
A submarine was situated 800 feet below sea level.
It is ascends 275 feet.
We know that h = 0 on the surface of the sea.
When we go below the surface vertically inside the sea the height will become negative.
So the submarine was situated h = -800 feet below the sea level, and it is ascends 275 feet from -800 feet.
So the new height of the submarine is.
Therefore the new position of the submarine is 525 below the sea level.
Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = 
= 
=
In a hand of 5 cards, you want 4 of them to be of the same rank, and the fifth can be any of the remaining 48 cards. So if the rank of the 4-of-a-kind is fixed, there are 
possible hands. To account for any choice of rank, we choose 1 of the 13 possible ranks and multiply this count by 
. So there are 624 possible hands containing a 4-of-a-kind. Hence A occurs with probability
There are 4 aces in the deck. If exactly 1 occurs in the hand, the remaining 4 cards can be any of the remaining 48 non-ace cards, contributing 
possible hands. Exactly 2 aces are drawn in 
hands. And so on. This gives a total of
possible hands containing at least 1 ace, and hence B occurs with probability
The product of these probability is approximately 0.000082.
A and B are independent if the probability of both events occurring simultaneously is the same as the above probability, i.e. 
. This happens if
- the hand has 4 aces and 1 non-ace, or
- the hand has a non-ace 4-of-a-kind and 1 ace
The above "sub-events" are mutually exclusive and share no overlap. There are 48 possible non-aces to choose from, so the first sub-event consists of 48 possible hands. There are 12 non-ace 4-of-a-kinds and 4 choices of ace for the fifth card, so the second sub-event has a total of 12*4 = 48 possible hands. So 
consists of 96 possible hands, which occurs with probability
and so the events A and B are NOT independent.
I believe that would be b
