dentify the property used in this equation: 3 + [7 + (–4)] = (3 + 7) + (– 4) Evaluate the expression above.
1 answer:
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Answer:
(a) The probability is 0.6514
(b) The probability is 0.7769
Step-by-step explanation:
If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:
Where a is the mean number of accidents per day and t is the number of days.
So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.
Then, the probability that a given day has no accidents is calculated as:
On the other hand the probability that February has at least one accident with a personal injury is calculated as:
P(x≥1)=1 - P(0)
Where P(0) is calculated as:
Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:
Finally, P(x≥1) is:
P(x≥1) = 1 - 0.2231 = 0.7769
Answer:
x = 3.86
a = 5.86
Step-by-step explanation:
From the triangles attached,
By applying cosine rule in triangle 1,
cos(50)° =
cos(50)° =
x = 6cos(50)°
x = 3.86
Now we apply sine rule in the second triangle,
sin(23)° =
sin(23)° =
a = 15sin(23)°
a = 5.86