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3 years ago

QUESTION WORTH 15 POINTS!! FINALS!! NO WRONG ANSWERS PLEASE!!

Mathematics

1 answer:

Xelga [282]3 years ago

4 0

Answer:

Somewhere around 27k

Step-by-step explanation:

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A cable car starts off with n riders. The times between successive stops of the car are independent exponential random variables

nikitadnepr [17]

Answer:

The distribution is $\frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}$

Solution:

As per the question:

Total no. of riders = n

Now, suppose the $T_{i}$ is the time between the departure of the rider i - 1 and i from the cable car.

where

$T_{i}$ = independent exponential random variable whose rate is $\lambda$

The general form is given by:

$T_{i} = \lambda e^{- lambda}$

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:

$S_{n} = T_{1} + T_{2} + ........ + T_{n}$

$S_{n} = \sum_{i}^{n} T_{n}$

Now, the sum of the exponential random variable with $\lambda$ with rate $\lambda$ is given by:

$S_{n} = f(t:n, \lamda) = \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}$

5 0

3 years ago

PLEASE HELP!!!<br> If f(x) = -2x^2 + x - 5, what is f(3)?

kow [346]

Answer:

<u>f(3) = -10</u>

Step-by-step explanation:

<u>Given</u>

f(x) = -2x² + x - 5

<u>Solving</u>

To find f(3), substitute x = 3 in the function
⇒ f(3) = -2(3)² + (3) + 5
⇒ f(3) = -2(9) + 8
⇒ f(3) = -18 + 8
⇒ <u>f(3) = -10</u>

4 0

2 years ago

Read 2 more answers

You are driving due north on the highway. Ahead, but off to the East, you see a tall tower. Sketch a graph or make a table showi

valentina_108 [34]

Answer:

The amount of speed you go will determine the graph but it should go closer and closer but then farther away because you drive past the tower

Step-by-step explanation:

3 0

3 years ago

A circus tent is supported by a rope that is staked to the ground. The tent makes a 90 angle with the ground. The following visu

Crazy boy [7]

The value of x is 34.64 feet

<h3>Right-angled triangle</h3>

Find the diagram attached

The height of the tent = 40 ft
length of the rope = x

Get the value of x using the SOH CAH TOA identity

$sin 60 = \frac{x}{40}\\0.8660 = \frac{x}{40}\\x = 40(0.8660)\\x = 34.64feet$

Hence the value of x is 34.64 feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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2 years ago

A set of angles has a ratio of 5 to 2. If the larger angle measures 105 degrees then what is the measure of the smaller angle

bekas [8.4K]

ratio 5:2

105, ___

5x = 105 → x = 21

2x = ____ → 2(21) = 42

Answer: 42°

6 0

3 years ago

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