Which point is the incenter of the triangle?

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.

8 0

3 years ago

Helppppppppppppp pleaseeeeeeeeeeeee

kow [346]

Answer:

the one on the right y=4x

Step-by-step explanation:

even if u switch out x it will yeah

5 0

2 years ago

Read 2 more answers

A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the are

Katarina [22]

Answer: Area = 6m²

Smaller number = 16

Hours = 9.6 h

Step-by-step explanation:

A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.

1) w = x m 2) w = x + 1 m

l = x + 5 m l = x + 5 - 2 = x + 3 m

A₁ = A₂

A = w*l

A₁ = x(x+5) = x² + 5x

A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2

A₁ = A₂

x² + 5x = x² + 3x + 2

5x - 3x = 2

2x = 2

x = 1

A₁ = x(x+5) = 1.6 = 6 m²

The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.

2 = x

5 40

5x = 80

x = 80/5 = 16

Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?

workers hours

16 3

5 x

↑ ↓ inversely proportional

5 = 3

16 x

5x = 16*3

5x = 48

x = 48/5

x = 9.6 h

6 0

3 years ago