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2 years ago

SOLVE THIS QUESTION

Mathematics

2 answers:

Anettt [7]2 years ago

7 0

447/250 that’s the correct answer hope that helped you

ASHA 777 [7]2 years ago

4 0

447/250

is the answer to the question

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The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes

andre [41]

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that $m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833$

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

$P(X > 3) = e^{-0.0833*3} = 0.7788$

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

6 0

3 years ago

A rectangle has side lenghs X +2 and 3X -1 write an expression that represents the perimeter of the rectangle then simplify the

pshichka [43]

Answer: Perimeter = 2(L + W) and

as a simplified expression is, 8x + 2

Step-by-step explanation: The length is represented by L and the width is represented by W in the expression above.

However, since we have been given the sides of the rectangle as x + 2 and 3x - 1, we shall substitute for the values of these in the expression representing the perimeter.

2(L + W) can now be written as

2( {x + 2} + {3x - 1} )

2(x + 2 + 3x - 1)

By collecting like terms, we now have

2(4x + 1)

8x + 2.

The expression can now be simplified as 8x + 2

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3 years ago

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Hunter-Best [27]

Answer:8. h(t) = -6 ((t-6) -3.7)^2 + 82.14 +20

9.b) At about 7.4 seconds.

Step-by-step explanation

Yes, on #7 the function is located 3 places to the right and 2.5 up, but that's just counting the tiny squares. If you look at the number and problem, on #8, you can't add +2.5, because the rocket wasn't on a platform 2.5 feet high. Remember that outside the parentheses + means up and - means down. So add + 20(ft). but for question 8, and 9. b), try these answers. please mark brainlest

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1 year ago

What can you conclude about the distance from zero for both and integer and its opposite

ruslelena [56]

It is the absolute value

4 0

3 years ago

HELP PLEASE! (Look at the picture!!!!)

Marianna [84]

Answer:

Step-by-step explanation:

The radius is part of a 3-4-5 special right triangle.

The diameter is two times the radius, so 4*2=

<em>I hope this helps! :)</em>

7 0

2 years ago

SOLVE THIS QUESTION​

SOLVE THIS QUESTION