Water carried = 1/2 gallon
Water drank =
= 2/3 of 1/2 gallon
= 2/3 × 1/2
= 2/6
= 1/3 gallon
Answer:
use the formula sn= n(a1+an)/2
Step-by-step explanation:
2982=28(228+an)/2
5964=28(228+an)
5964/28=228+an
213=228+an
an=-15(last term)
to find difference use formula
an = a+(n-1)d
-15=228+(28-1)d
-243=27d
d=-243/27
d=-9
arithmetic sequence can be found be keep on subtracting 9 from 228
hence the arithmetic sequence is
228, 219, 210, 201, 192, 183, 174........-15
Answer: the probability that two accidents will occur during the (five-day) work week is 0.0758
Step-by-step explanation:
Given that;
injuries in textile mill occur at the rate of 0.1 per day; λ = 0.1
probability that two accidents will occur during the (five-day) work week = ?
T= 5
so, the average number of on the job injuries for five days will be;
λT = 0.1 × 5
= 0.5
now if X follows Poisson distribution, hemce
P( X=k ) = [e^-λT (λT)^k] / k!
so the probability that two (2) accidents will occur during the (five-day) work week will be;
P( X=k ) = [e^-0.5 (0.5)²] / 2!
= (0.6065 × 0.25) / 2
= 0.1516/ 2
= 0.0758
the probability that two accidents will occur during the (five-day) work week is 0.0758
