2/3 a -1/6=1/3 <br> Solve the equation

1/6 of a loop around the circle would be a rotation of how many degrees (q)?

Verizon [17]

Answer:

60

Step-by-step explanation:

A circle is 360 degrees

1/6 of 360

1/6 * 360 = 60

6 0

2 years ago

7 d^2 +10 when d = 3

user100 [1]

Answer:

d = 3/7 = 0.429

d = 1

Step-by-step explanation:

5 0

2 years ago

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Let p: x < −3<br> Let q: x > 3<br><br> What is represented by p ∨ q?

I am Lyosha [343]

Amphitrite1040Answer:

Amphitrite1040

Step-by-step explanation:

7 0

2 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

2 years ago

What is another name for a natural number?

rosijanka [135]

Another name for natural numbers that I've heard is counting numbers since they are the numbers that we count with.

7 0

2 years ago

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2/3 a -1/6=1/3 Solve the equation