Please help meeee it’s question #7

PLEASE HELP ASAP<br> BRAINLIEST<br> HAVE 10 MINUTES

xz_007 [3.2K]

Your answer is 5 because you divide

7 0

2 years ago

Assume that the number of messages input to a communication channel in an Exponential distribution with 7 messages arriving in a

NARA [144]

The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

According to the statement

we have given that the an Exponential distribution with 7 messages arriving in a 10 second period and we have to find the probability that more than 3 messages will arrive during a 30-second interval.

So, For this purpose, we know that the

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

And the given information is that :

3 messages will arrive during a 30-second interval.

Then

Probability = P(X=1) + P(X=2) + P(X=3).Then

The probability become according to the exponential distribution:

$P(X=1)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\\P(X=2)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\\P(X=3)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

And then substitute the values in it then

$Probability = \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\ +\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\ + \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

This is the probability.

So, The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

Learn more about probability here

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7 0

1 year ago

When a number is decreased by 16% of itself the result is 159.6. What is the number?

Rufina [12.5K]

Hey there! I'm happy to help!

Let's call this number n. Here is the info we can write about it. Remember that to write as a percent as a decimal you divide by 100.

n-0.16n=159.6

We combine like terms.

0.84n=159.6

We divide both sides by 0.84

n=190

Have a wonderful day! :D

7 0

3 years ago

Formula for the surface area of a cylinder, SA = 2ar2 + 2arh. Solve for h.

MakcuM [25]

Answer:

$h=\frac{SA-2\pi r^2}{2\pi r}$

Step-by-step explanation:

The formula for the surface area of a cylinder is:

$SA=2\pi r^2+2\pi rh$

And we want to solve for the height h.

First, subtract $2\pi r^2$ from both sides. This yields:

$2\pi rh=SA-2\pi r^2$

Now, divide both sides by $2\pi r$ . This yields:

$h=\frac{SA-2\pi r^2}{2\pi r}$

And we're done!

8 0

3 years ago

Which set of ordered pairs does not represent a function?

Irina18 [472]

<h3>Answer:</h3>

B. { (3, –2), (3, –4), (4, –1), (4, –3) }

<h3>Step-by-step explanation:</h3>

Functions are a set of points that show how dependent variables change through independent variables.

Defining a Function

In functions, each x-value is assigned to exactly one y-value. This means that x-values do not repeat. So, if there is one x-value more than once in a set, then it cannot be a function.

For example, set B has the x-value 3 and 4 repeated twice. Thus, it does not represent a function.

Graph of a Function

Functions can also be defined through a graph. Just like with coordinate points, x-values do not repeat on the graph. You can use the vertical line test to see if a graph is a function. If you can draw a vertical line at every point on a graph without it ever intersecting with the graph more than once, then it is a function.

3 0

2 years ago