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A Ferris wheel has a diameter of 90 feet. How far does car travel in one revolution in terms of π?

Yuri [45]

90 $\pi$

one revolution is the circumference of the circle.

C= $\pi$ d=90 $\pi$

6 0

3 years ago

The number of people arriving for treatment at an emergency room can be modeled by aPoisson process with a rate parameter of 5/h

saveliy_v [14]

Answer:

(a) The probability of having exactly four arrivals during a particular hour is 0.1754.

(b) The probability that at least 3 people arriving during a particular hour is 0.7350.

(c) The expected arrivals in a 45 minute period (0.75 hours) is 3.75 arrivals.

Step-by-step explanation:

(a) If the arrivals can be modeled by a Poisson process, with λ = 5/hr, the probability of having exactly four arrivals during a particular hour is:

$P(X=4)=\frac{\lambda^{X}*e^{-\lambda} }{X!} =\frac{5^{4}*e^{-5} }{4!}=\frac{625*0.006737947}{24} =\frac{4.211}{24}=0.1754$

The probability of having exactly four arrivals during a particular hour is 0.1754.

(b) The probability that at least 3 people arriving during a particular hour can be written as

$P(X>3)=1-P(X\leq3)=1- (P(0)+P(1)+P(2)+P(3))$

Using

$P(X)=\frac{\lambda^{X}*e^{-\lambda} }{X!}$

We get

$P(X>3)=1-P(X\leq3)=1- (P(0)+P(1)+P(2)+P(3))\\P(X>3)=1-(0.0067+ 0.0337+ 0.0842 + 0.1404 )\\P(X>3)=1-0.2650=0.7350\\$

The probability that at least 3 people arriving during a particular hour is 0.7350.

(c) The expected arrivals in a 45 minute period (0.75 hours) is

$EV=\lambda*t=5*0.75=3.75$

8 0

3 years ago

In which quadrant is -3-4i located?

tatuchka [14]

Answer:

It is located in the 3rd quadrant since x = -3 and y = -4.

4 0

3 years ago

Read 2 more answers

Harry budgeted $180 per month for eating out. At an estimated $9 per

neonofarm [45]

Answer:

252

Step-by-step explanation:

9 x 20 = 180

9 x 28 = 252

7 0

3 years ago

8+2x-4=6+2(x+1) please help

Citrus2011 [14]

Answer:

Step-by-step explanation:

4 0

2 years ago