Find the sum of the first 50 terms. -6,-2,2,6
1 answer:
Answer:
4600
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4
This indicates the sequence is arithmetic with sum to n terms
=
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 6 and d = 4 , then
=
[ (2 × - 6) + (49 × 4) ]
= 25(- 12 + 196)
= 25 × 184
= 4600
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Answer:
probability of an electric power outage shipboard is 0.075 or 7.5 %
Step-by-step explanation:
Given the data in the question;
Probability of engine malfunction = 25% = 0.25
Probability of generator malfunction = 10% = 0.1
Probability of generator being repaired = 50% = 0.5
probability of an electric power outage shipboard = ?
To get the probability of an electric power outage shipboard, we use the expression;
probability of an electric power outage = 2 × p( Probability of generator malfunction ) × p( Probability of generator being repaired ) × ( 1 - p( Probability of engine malfunction ) )
so we substitute in our given values;
probability of an electric power outage = 2 × 0.1 × 0.5 × ( 1 - 0.25 )
probability of an electric power outage = 2 × 0.1 × 0.5 × 0.75
probability of an electric power outage = 0.075 or 7.5 %