Answer: 8x + 14
Step-by-step explanation:
3x + 2 + 3x + 2 + x + 5 + x + 5 = 2(4x + 7) = 8x + 14
Answers:
Row 0: 1
Row 1: 1 1
Row 2: 1 2 1
Row 3: 1 3 3 1
Row 4: 1 4 6 4 1
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Explanation:
This is known as Pascal's Triangle. Each value, other than the '1's, is found by adding the values directly above it. For instance, the '4' is the result of 1+3, and the 6 is a result of 3+3, and so on.
You can use the nCr combination formula to find the same values.
Alternatively you can expand out binomials of the form (x+y)^n, for integer values of n, and you'll find the coefficients of the terms match perfectly with Pascal's Triangle.
Answer:
Step-by-step explanation:
We want the probability that the 35 cars are loaded onto the ferry. Therefore:
Since
μ=1.8 and σ=0.5 we have:
P(X<35 )=P ( X−μ<35−1.8 )=P((X−μ)/σ<(35−1.8)/0.5)
Since
(x−μ)/σ=Z and
we have:
Use the standard normal table to conclude that:
Answer:
.998%
Step-by-step explanation:
102.8/103 = .9980582524
