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1 answer:
9514 1404 393
Answer:
BC ≈ 17.0 (neither Crow nor Toad is correct)
Step-by-step explanation:
The left-side ratio of (2+4)/4 = 3/2 suggests BC is 3/2 times the length DE. If that were the case, BC = (3/2)(11) = 16.5, as Crow says.
The right-side ratio of (5+9)/9 = 14/9 suggests that BC 9 is 14/9 times the length DE. If that were the case, BC = (14/9)(11) = 154/9 = 17 1/9 ≈ 17.1, as Toad says.
The different ratios of the two sides (3/2 vs 14/9) tell you that the triangles are NOT similar, so the length of BC cannot be found by referring to the ratios of the given sides.
Rather, the Law of Cosines must be invoked, first to find angle A (109.471°), then to use that angle to compute the length of BC given the side lengths AB and AC. That computation gives BC ≈ 16.971. (See the second attachment.)
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Answer:
a)
b) f(2) = 0.04462
c) f(1) = 0.01487
d)
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of successes
e = 2.71828 is the Euler number
is the mean in the given interval.
In this question:
a. Write the appropriate Poisson probability function.
Considering
b. Compute f (2).
This is P(X = 2). So
So f(2) = 0.04462
c. Compute f (1).
This is P(X = 1). So
So f(1) = 0.01487.
d. Compute P(x≥2)
This is:
In which:
Then
So