Which equation best represents the constant rate of change shown in the pattern between the

let X represent the amount of time till the next student will arriv ein the library partking lot at the university. If we know t

AlekseyPX

Answer:

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

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 4 minutes

This means that $m = 4, \mu = \frac{1}{4} = 0.25$

Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:

This is:

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)$

In which

$P(X \leq 132) = 1 - e^{-0.25*132} = 1$

$P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469$

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531$

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

4 0

2 years ago

Identify the terms of the expression 9a+4b-18

madreJ [45]

Hey there!

We may ask. What exactly is a term anyways.

Well, a term is a single number, a variable, or a number and a variable that would have to be multiply together. This is what a term would be.

Therefore, as we look above, we see the following equation.

9a+4b-18

18 is a term

4b is a term

9a is a term

This whole thing, would be called an expression, as this is expression something. Perhaps the amount of students who ate ice-cream at a football game, or something similar.

I hope you found this helpful! :)

6 0

2 years ago

an ice cube is made of 5 fluid ounces of water. about how may milliliters of water does it take to make an ice cube?

beks73 [17]

5 fluid ounces equals to 147.868 milliliters.

3 0

2 years ago

Read 2 more answers

What is the product of − 3/11 and − 2/15? please explain.

emmainna [20.7K]

ANSWER

The product is

$\frac{2}{55}$

EXPLANATION

To find the product of

$- \frac{3}{11}$

and

$\frac{ - 2}{15}$

means we should multiply the two fractions.

We multiply to obtain,

$- \frac{3}{11} \times - \frac{2}{15}$

$= - \frac{3}{11} \times - \frac{2}{3 \times 5}$

Cancel the common factors:

$= - \frac{1}{11} \times - \frac{2}{5}$

Now, multiply the numerators separately and the denominators too separately.

$= \frac{ - 1 \times - 2}{11 \times 5}$

This simplifies to,

$= \frac{2}{55}$

4 0

2 years ago

7x+2y=24 and 8x+2y=30

raketka [301]

I guess you want to find the values of x & y. If so:

7x+2y=24
8x+2y=30
1) multiply the 1st equation by (-1)==> -7x-2y=-24
2) Now add -7x-2y=-24 to 8x+2y=30 ==> x + 0y = 6 ==> x = 6
3) replace x by 6 in any of te two equation & you will find y= - 9

8 0

2 years ago