Well n could equal 9 and they would both be the same thing but if n equaled 6 then it would be less but if it equaled 11 then it would be over 12
1 cinnamon stick equals 1/2 teaspoons of ground cinnamon
Problem 1
Answer: Independent
The reason why is because each bag is separate from one another, so one event doesn't affect the other. If we know the result of what we pulled out of one bag, it doesn't change the probability of the other event.
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Problem 2
Answer: Dependent
Assuming you do not put the first card back, then the probability of picking a King on the second draw will be different than if you picked a King on the first draw. With all 52 cards in the deck, the probability of getting a king is 4/52 = 1/13. It changes to 4/51 after we picked out an ace for the first card (and didn't put that first card back).
9514 1404 393
Answer:
6, 9, 12, 15
Step-by-step explanation:
Comparing the given formula to the formula for the general term of an arithmetic sequence, ...
an = a1 +d(n -1)
we see that a1 = 6 and d = 3. That is, the first term of the sequence is 6 and each term is 3 more than the last.
The first 4 terms are 6, 9, 12, 15.
For this case, we can model the problem as a rectangle triangle.
We know the height of the triangle.
We know the angle between the base of the triangle and the hypotenuse.
We want to find the base of the triangle.
For this, we use the following trigonometric relationship:
tan (70) = 39 / x
Clearing x we have:
x = 39 / tan (70)
x = 14.2 feet
Answer:
The distance between the base of the building and the base of the ladder is:
x = 14.2 feet
