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raketka [301]
2 years ago
7

A subway train on the Red Line arrives every eight minutes during rush hour. We are interested in the length of time a commuter

must wait for a train to arrive. The time follows a uniform distribution.
a. Define the random variable. X= _______
b. X∼ _______
c. Graph the probability distribution.
d. f(x)= _______
e. μ= _______
f. σ= _______
g. Find the probability that the commuter waits less than one minute.
h. Find the probability that the commuter waits between three and four minutes.
i. Sixty percent of commuters wait more than how long for the train? State this in a probability question, similarly to parts g and h, draw the picture, and find the probability.
Mathematics
1 answer:
olasank [31]2 years ago
5 0

Answer:c i just did the test

Step-by-step explanation:

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Find the length of the hypotenuse. 45 degree triangle 3 square root of <br><br> 2
stira [4]

Answer:

Hypotenuse = 6

Step-by-step explanation:

Find attached diagram used in solving the question.

The triangle is a 45°-45°-90° triangle meaning it's two legs are equal. The opposite = adjacent

Since we are told to find hypotenuse, it means the length given = opposite = adjacent = 3√2

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse ² = (3√2)² + (3√2)²

Hypotenuse ² = 9(2)+9(2) = 18+18

Hypotenuse ² = 36

Hypotenuse = √36

Hypotenuse = 6

8 0
3 years ago
Order the numbers from least to greatest 10.5, 10.06, 10.64, 10.46
jekas [21]
10.5 10.6 10.46 10.64
6 0
2 years ago
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X + y + 5) and (2x – 2y – 3)
Aleonysh [2.5K]

Step-by-step explanation:

Since your question is incomplete, I have given you two different options based on your incomplete question.

Hope you understand this.

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4 0
3 years ago
Select all the correct answers.
gtnhenbr [62]

Answer:

Andrew is driving at a faster speed and they both started at the same place.

8 0
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Let f(x)=241+3e−1.3x . What is the point of maximum growth rate for the logistic function f(x) ? Round your answer to the neares
FromTheMoon [43]

Answer:

The point of maximum growth is at x=0.82

Step-by-step explanation:

Given a logistic function

f(x)=\frac{24}{1+e^{-1.3x}}

we have to find the point of maximum growth rate for the logistic function f(x).

From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at y=\frac{24}{2} i.e between 0 to 12

So, we can take y=\frac{24}{2} and then solve for x.

\frac{24}{2}=\frac{24}{1+e^{-1.3x}}

⇒ 2=1+3\exp{-1.3x}

⇒ 1=3.\exp{-1.3x} ⇒ \frac{1}{3}=\exp{-1.3x}

                             ⇒ log 3=-1.3x

                             ⇒ -0.4771=-1.3.x ⇒ x=0.82

Hence, the point of maximum growth is at x=0.82


5 0
3 years ago
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