What is the volume of the prism?
1 answer:
You might be interested in
Answer:
Therefore the probability that the card is not brown is .
Step-by-step explanation:
Probability: Probability is the ratio of the favorable outcome to the total outcome.
Given that, a box contains 2 cards blue in color , 4 cards brown in color and 6 cards yellow in color.
Total number of cards= (2+4+6)=12
∴P(getting a brown card)
∴P(not getting a brown card)
=1 - P(getting a brown card)
Therefore the probability that the card is not brown is .
Let a be the first term in the sequence, and d the common difference between consecutive terms. If aₙ denotes the n-th term in the sequence, then
a₁ = a
a₂ = a₁ + d = a + d
a₃ = a₂ + d = a + 2d
a₄ = a₃ + d = a + 3d
and so on, up to the n-th term
aₙ = a + (n - 1) d
The sum of the first 10 terms is 100, and so
where we use the well-known sum formulas,
The sum of the next 10 terms is 300, so
Solve for a and d. Eliminating a gives
(10a + 145d) - (10a + 45d) = 300 - 100
100d = 200
d = 2
and solving for a gives
10a + 145×2 = 300
10a = 10
a = 1
So, the given sequence is simply the sequence of positive odd integers,
{1, 3, 5, 7, 9, …}
given recursively by the relation
and explicitly by
for n ≥ 1.