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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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irga5000 [103]

Answer:

d=3

Step-by-step explanation:

by using distance formula

d=√(x2-x1)²+(y2-y1)²

let the points be A(-3,2) B(0,2)

d=√(0--3)²+(2-2)²

d=√(+3)²+(0)²

d=√9

d=3

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4 years ago
A farmer collected eggs from the henhouse. He can put 36 eggs in a carton. A carton will hold 6 eggs in a row How many rows does
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A garden has the form of a right triangle. One leg of the triangle is formed by a 2400​-ft long sea wall. The hypotenuse of the
stepladder [879]

Answer:

  • given leg: 2400 ft
  • other leg: 1000 ft
  • hypotenuse: 2600 ft

Step-by-step explanation:

The Pythagorean theorem tells a relation between the leg lengths and the hypotenuse. If x represents the unknown leg length, then we have ...

  x^2 + 2400^2 = (x +1600)^2

  x^2 +5760000 = x^2 +3200x +2560000 . . . . eliminate parentheses

  3200000 = 3200x . . . . . . . . . subtract x^2+2560000

  1000 = x . . . . . . . . . . . . . . divide by 3200

The other leg length of the garden is 1000 ft. The garden is a triangle with side lengths 1000 ft, 2400 ft, 2600 ft.

4 0
4 years ago
What is the monomial if a square of a monomial is: c 0.0001a^8x^4
konstantin123 [22]

Answer:

The answer to your question is 0.1a⁴x²

Step-by-step explanation:

                                           0.0001a⁸x⁴

Process

1.- Get the square root of 0.0001

         \sqrt{0.0001} = 0.1

2.- Get the square root of a⁸

            a⁸ = (a⁴)²     \sqrt{a^{8}} = a^{4}

3.- Get the square root of x⁴

            x⁴ = (x²)²      \sqrt{x^{4}} = x^{2}

4.- Write the solution

                                        0.1a⁴x²

3 0
4 years ago
Can anyone answer this? I need help ASAP!!
laiz [17]

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Slope = Rise/run

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