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Alik [6]
3 years ago
11

5. Arrival problems usually follow a Poisson distribution, but in this case the time between arrivals of customers at a bank dur

ing the noon hour has a uniform distribution between 0 to 120 seconds. What is the probability that between the arrivals of two customers will be more than 60 seconds?
Mathematics
1 answer:
Finger [1]3 years ago
5 0

Answer:

0.5 or 50%

Step-by-step explanation:

For any given value of 'x' representing the time between arrivals of two customers. If 0 < x <120, then the cumulative distribution function is:

\frac{x-0}{120-0}=\frac{x}{120}

Therefore, the probability that the time between the arrivals of two customers will be more than 60 seconds is determined by:

P(X>60) = 1 -\frac{60}{120}\\P(X>60) = 0.5

The probability is 0.5 or 50%.

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A​ person's rectangular dog pen for his dog must have an area of 200 square feet.​ Also, the length must be 12 feet longer than
kherson [118]

Answer:

width = 9.36 ft

length = 21.36 ft

Step-by-step explanation:

Let the width be x ft long. Then it follows that the length will be (x+12) ft long.

To calculate the area would then be

x(x+12) = 200

xx^{2} +12x=200x^{2} +12x-200=0

x = 9.36 ft or x = -21.36 ft

We take the positive answer. So the dimensions are

width = 9.36 ft

length =  9.36 + 12 = 21.36 ft

6 0
3 years ago
Can you please show work please
-BARSIC- [3]

Answer:

1) y = 3x+5

2) y =  \frac{1}{2}x-4

3) y = -x + 0

4) y = -\frac{5}{3}x+8

5) y = \frac{3}{5} x - 7

Step-by-step explanation:

y = mx+b

In slope-intercept form, these are important to know:

- y and x should stay as variables

- m = slope of the line

- b = y intercept

Using the facts above⬆, we can solve these problems

Remember: Substitute m and b using the given information

1) y = 3x+5

2) y =  \frac{1}{2}x-4

3) y = -x + 0

4) y = -\frac{5}{3}x+8

5) y = \frac{3}{5} x - 7

Hope this helps :)

Have a great day!

3 0
2 years ago
Please say what the answer is and show the steps
kolbaska11 [484]
This doesn’t make any sense
6 0
2 years ago
Read 2 more answers
In at least one complete sentence, describe in words which numbers are included in this
ikadub [295]

The numbers included in this interval are from -12/17 and on.

5 0
2 years ago
Solve the equations in Parts A and B using inverse operations. Check your solutions. In your final answer, include all of your w
Ludmilka [50]
Part A:5=2x^2-x^2+13
5=x^2+13
0=x^2+13-5
0=x^2+8

Part B:5=2x^3-x^3+13
5=x^3+13
0=x^3+13-5
0=x^3+8
3 0
3 years ago
Read 2 more answers
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