Answer:
40 ounces
Step-by-step explanation:
a pound is 16 ounces so 2 and a half is 40 ounces
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.
Answer:
50+50x
Step-by-step explanation:
they're asking you to use distributive property
so what you have to do is multiply everything that is in the parenthesis by 10
5x10=50
5x10x=50x
so the answer is 50+50x
have a great day :D
Answer:
BDC and ADB
Step-by-step explanation:
Answer:
y = 6 + 4x
After 4 years, the tree would be 22 ft tall.
Step-by-step explanation:
Hi there!
Let x = the number of years that pass
Let y = the height of the tree (ft)
We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.
Height of tree = 6 feet + 4 feet × number of years that pass
y = 6 + 4x
To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:
y = 6 + 4(4)
y = 6 + 16
y = 22
Therefore, the tree would be 22 ft tall.
I hope this helps!
