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2 years ago

(question in image) i need the equation and it solved

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

3 0

Answer:

Option A
Speed of plane is 240 km/h, speed of wind is 50 km/h

Step-by-step explanation:

With the tail wind the total speed is the sum of the speeds of plane and wind.

When into wind the total speed is the difference of speeds of plane and wind.

The first equation is

(r + w)*6 = 1740

The second equation is

(r - w)*3 = 570

Simplify both equations and solve the system

r + w = 1740/6 ⇒ r + w = 290
r - w = 570/3 ⇒ r - w = 190

Solve by elimination, add up the equations

r + w + r - w = 290 + 190
2r = 480
r = 240

Find the value of w

240 + w = 290
w = 290 - 240
w = 50

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Let x equal the repeating decimal you are trying to convert to a fraction.

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4 years ago

I can’t figure this out, any help?

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2 years ago

a statistics professor finds that when he schedules an office hour at the 10:30a, time slot, an average of three students arrive

Veseljchak [2.6K]

Answer:

The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

Step-by-step explanation:

Let X = number of students arriving at the 10:30 AM time slot.

The average number of students arriving at the 10:30 AM time slot is, λ = 3.

A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.

The random variable X is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.

The random variable X follows a Poisson distribution with parameter λ = 3.

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$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...,\ \lambda>0$

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Answer:

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Step-by-step explanation:

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