You have a map of Southern California. If the distance between

Mathematics

1 answer:

Rudiy272 years ago

4 0

9514 1404 393

Answer:

18 miles

Step-by-step explanation:

The map distance and ground distance are proportional.

(distance to school)/(3 in) = (12 miles)/(2 in)

Multiplying by 3 in gives ...

distance to school = (12 miles)(3/2) = 18 miles

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2 years ago

The sutton police department must write, on average, 6 tickets a day to keep department revenues at budgeted levels. suppose the

lakkis [162]

The Poisson distribution defines the probability of k discrete and independent events occurring in a given time interval.
If λ = the average number of event occurring within the given interval, then
$P(k \, events) = e^{-\lambda } ( \frac{\lambda ^{k}}{k!} )$

For the given problem,
λ = 6.5, average number of tickets per day.
k = 6, the required number of tickets per day
The Poisson distribution is
$P(k \, tickets/day)=e^{-6.5} ( \frac{6.5 ^{k}}{k!} )$
The distribution is graphed as shown below.

Answer:
The mean is λ = 6.5 tickets per day, and it represents the expected number of tickets written per day.
The required value of k = 6 is less than the expected value, therefore the department's revenue target is met on an average basis.