Answer:
Step-by-step explanation:
The eccentricity of an ellipse is given by:
The given ellipse has equation:
We can rewrite this equation in standard form to obtain:
We compare to the general standard form equation:
to get:
We substitute into the eccentricity formula to get:
The eccentricity is 0.66 to the nearest hundredth
Cards are drawn, one at a time, from a standard deck; each card is replaced before the next one is drawn. Let X be the number of draws necessary to get an ace. Find E(X) is given in the following way
Step-by-step explanation:
- From a standard deck of cards, one card is drawn. What is the probability that the card is black and a
jack? P(Black and Jack) P(Black) = 26/52 or ½ , P(Jack) is 4/52 or 1/13 so P(Black and Jack) = ½ * 1/13 = 1/26
- A standard deck of cards is shuffled and one card is drawn. Find the probability that the card is a queen
or an ace.
P(Q or A) = P(Q) = 4/52 or 1/13 + P(A) = 4/52 or 1/13 = 1/13 + 1/13 = 2/13
- WITHOUT REPLACEMENT: If you draw two cards from the deck without replacement, what is the probability that they will both be aces?
P(AA) = (4/52)(3/51) = 1/221.
- WITHOUT REPLACEMENT: What is the probability that the second card will be an ace if the first card is a king?
P(A|K) = 4/51 since there are four aces in the deck but only 51 cards left after the king has been removed.
- WITH REPLACEMENT: Find the probability of drawing three queens in a row, with replacement. We pick a card, write down what it is, then put it back in the deck and draw again. To find the P(QQQ), we find the
probability of drawing the first queen which is 4/52.
- The probability of drawing the second queen is also 4/52 and the third is 4/52.
- We multiply these three individual probabilities together to get P(QQQ) =
- P(Q)P(Q)P(Q) = (4/52)(4/52)(4/52) = .00004 which is very small but not impossible.
- Probability of getting a royal flush = P(10 and Jack and Queen and King and Ace of the same suit)
Answer:
if you are asking (2m - 10m + 5) + (8m +2), the answer would end up just being 7.
Step-by-step explanation:
simplify, 2m-10m = -8m.
5 + 2 = 7
-8m + 8m = (they cross each other out. you can't have a 0m)
Your Answer = 7
There are two methods that can be used to write 0.368 in expanded form.
Method-1:
Take the first number after the decimal point and divide it by 10. Take the second number after the decimal point and divide it by 100. Take the third number after the decimal point and divide it by 1000. Lastly, add all of them.
Method-2:
Multiply first number after decimal point with 0.1; multiply second number after decimal point with 0.01; multiply third number after decimal point with 0.001, and add them all.
(3 * 0.1) + (6 * 0.01) + (8 * 0.001) = 0.368