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3 years ago

Triangle ABC is similar to triangle DEF .

Mathematics

2 answers:

Elza [17]3 years ago

6 0

Answer:

C. 18 cm

Step-by-step explanation:

Corresponding sides have the same ratio in similar triangles. The longest side is (12/10) = 1.2 times the length of the second-longest side. So ...

... x = 1.2 × 15 cm = 18 cm

Elena-2011 [213]3 years ago

5 0

Because they are similar, the ratio of the sides are equal to each other. so, you would set up a ratio of 15/10 = x/12. the you would cross multiply and solve for x. making it 18.

Step-by-step explanation:

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Bumek [7]

Answer:

0.381 is the probability that the number of drivers will be at most 18.

Step-by-step explanation:

We are given the following information in the question:

The number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20.

The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.
The variance of Poisson distribution is equal to the mean of Poisson distribution.

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Formula:

$P(X =k) = \displaystyle\frac{\mu^k e^{-\mu}}{k!}\\\\ \mu \text{ is the mean of the distribution}$

$P( x \leq 18) =P(x=0) + P(x =1) + P(x = 2) + ... + P(x = 18)\\\\= \displaystyle\frac{20^0 e^{-20}}{0!} + \displaystyle\frac{20^1 e^{-20}}{1!} +...+ \displaystyle\frac{20^{18} e^{-20}}{18!}\\\\ = 0.381$

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