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3 years ago

The line y=-1/2x+3 is perpendicular to which line

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

3 0

y=2x+3 (the 3 can be changed)

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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

The freezing point of a certain liquid is -7F . Another liquid freezes at -12F . What is the difference between the absolute val

melamori03 [73]

Answer:

Step-by-step explanation:

8 0

2 years ago

A function that repeats its values at regular intervals is called a ? function.

DochEvi [55]

<span>A function that repeats its values at regular intervals is called a periodic function</span>

7 0

2 years ago

Which of the following options have the same value as 30%, percent of 81? Choose 3 answers:

Mila [183]

30% is a way to express the fraction 30/100 = 3/10

So, 30% of 80 is

$80\cdot \dfrac{3}{10}=8\cdot 3 = 24$

5 0

3 years ago

Use properties of addition and subtraction to evaluate the expression <br> -42 - 29 - 28

Setler [38]

(-42) (-29) (-28)
-42 - 29 = -71
-71 - 28 = -99

-99 is your answer

hope this helps

7 0

3 years ago