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4 years ago

Write the fraction as a mixed number. 9/2

Mathematics

1 answer:

atroni [7]4 years ago

5 0

Do you need the number 9/2 simplified? if so, the answer is 4 1/2 :) hope this helps!

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The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a m

castortr0y [4]

Answer:

a) 50.34% probability that the arrival time between customers will be 7 minutes or less.

b) 24.42% probability that the arrival time between customers will be between 3 and 7 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:

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

Mean of 10 minutes:

This means that $m = 10, \mu = \frac{1}{10} = 0.1$

A. What is the probability that the arrival time between customers will be 7 minutes or less?

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

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

50.34% probability that the arrival time between customers will be 7 minutes or less.

B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3)$

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

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

$P(X \leq 3) = 1 - e^{-0.1*3} = 0.2592$

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3) = 0.5034 - 0.2592 = 0.2442$

24.42% probability that the arrival time between customers will be between 3 and 7 minutes

3 0

3 years ago

Please show the steps I need this right now I’m taking a test8(x−4)<7x−3

Olegator [25]

Answer:

x < 29

Step-by-step explanation:

8(x−4)<7x−3; distribute 8 in the parenthesis

8x - 32 < 7x - 3; subtract 7x from both sides

x - 32 < -3; add 32 to both sides

x < 29

5 0

3 years ago

If the ratio of the purple flowers to black flowers is 4 to 8 and there are a total of 108 flowers how many of the flowers are p

FinnZ [79.3K]

Purple flowers: black flowers = 4:8 = 108

4 + 8 = 12

108 / 12 = 9.

9 x 4 = 36.

36 of the flowers are purple.

7 0

4 years ago

Read 2 more answers

Ritu started a business and borrowed a certain sum at 14% per annum for 1 year, the interest being compounded semi annually. If

liubo4ka [24]

Use the formula A = p( 1 + x)^n.

A = 1831.84(1 + 0.14)^6

You can finish.

5 0

3 years ago

7 - 4 ( d - 3 ) = 23

astra-53 [7]

7 - 4 ( d - 3) = 23

7 - 4d + 12 = 23

Subtract 12 from both sides,

7 - 4d = 11

Subtract 7 to both sides

- 4d = 4

Divide -4 to both sides

d = -1

8 0

3 years ago

Read 2 more answers