Answer: it is 6
Step-by-step explanation: because they are the same length.
Answer: 2/3
Step-by-step explanation: 8 : 12 = 2 : 3 = 2/3
Answer:
1/5525 ≈ 0.018%
Step-by-step explanation:
There are 4 kings in a standard deck of 52 cards.
The probability that the first card is a king is 4/52.
The probability that the second card is also a king is 3/51 (the first king isn't replaced, so there's one less king and one less card in the deck).
The probability that the third card is a king is 2/50.
The probability of choosing 3 king cards is therefore:
P = (4/52) (3/51) (2/50)
P = (1/13) (1/17) (1/25)
P = 1/5525
P ≈ 0.018%
The confidence interval is

.
We first find the mean. Add together all of the data points and divide by 6, the number of data points; the mean is 77.28.
Next we find the standard deviation. Find the difference between each data point and the mean; square it; find the sum; divide by the number of data points; take the square root. The standard deviation is 3.32.
To find the margin of error, we calculate the z-score associated with this level of confidence. 100-90 = 10% = 0.1; 0.1/2 = 0.05; 1-0.05 = 0.95. Using a z-table (http://www.z-table.com) we see that this is between two scores, 1.64 and 1.65; we will use 1.645.
The margin of error is given by
z * (σ/√n) = 1.645*(3.32/√6) = 2.23.
Thus the confidence interval is 77.28 +/ 2.23.