Answer:

**Answer:**

**a) **0.135 = 13.5% probability that during a given 1 min period, the first operator receives no requests.

**b) **0.03185 = 3.185% probability that during a given 1 min period, exactly three of the six operators receive no requests

**Step-by-step explanation:**

To solve this question, we need to understand the Poisson distribution and the binomial distribution.

**Poisson distribution:**

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given time interval.

**Binomial distribution:**

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

**Poisson process with rate 2 per minute**

This means that

**a. What is the probability that during a given 1 min period, the first operator receives no requests?**

Single operator, so we use the Poisson distribution.

This is P(X = 0).

0.135 = 13.5% probability that during a given 1 min period, the first operator receives no requests.

**b. What is the probability that during a given 1 min period, exactly three of the six operators receive no requests? **

6 operators, so we use the binomial distribution with

Each operator has a 13.5% probability of receiving no requests during a minute, so

This is P(X = 3).

0.03185 = 3.185% probability that during a given 1 min period, exactly three of the six operators receive no requests

Gabrielle is 5 years older than Mikhail. The sum of their ages is 53 . What is Mikhail's age?

Hey can you please help me posted picture of question

Which recursive formula defines this sequence for n > 1?3, 6, 9, 12, 15, 18, ...Question 4 options:an=3an−1an=an−1+3an=13an−1an=an−1−3

What does (2,7) look like on the coordinate plane.

A rectangle has a length of 12 m and a width of 400cm. What is the perimeter of the rectangle?

Hey can you please help me posted picture of question

Which recursive formula defines this sequence for n > 1?3, 6, 9, 12, 15, 18, ...Question 4 options:an=3an−1an=an−1+3an=13an−1an=an−1−3

What does (2,7) look like on the coordinate plane.

A rectangle has a length of 12 m and a width of 400cm. What is the perimeter of the rectangle?

A)3 hours

B)3.5 hours

C)4 hours

D)4.5 hours

PLS ANSWER

**Answer:**

D)4.5 hours

hope this helps

plz mark brainleist

5m + 4m = 72

You add the 5m and 4m because they are like terms to get 9m=72 then divide both sides by nine to get m=8.

**Answer:**

**Step-by-step explanation:**

The **point slope form** of the equation of a line is given as:

The **slope-intercept form** of the equation of a line is given as:

where: m=slope, b=y-intercept.

To convert from the point slope form to slope intercept form, follow these steps:

Step 1: Distribute the right hand side

Step 2: Isolate the y variable

This is the slope-intercept form. We can evaluate

**Step-by-step explanation:**

Let the first multiple of 4 be x and second multiple be (x + 4) and third multiple be (x + 8) **...[Since, the number are consecutive multiple of 4]**

☯

First multiple of 4 is x = 144

Second multiple of 4 is x + 4 = 144 + 4 = 148

Third multiple of 4 is x + 8 = 144 + 8 = 152

Second multiple of 4 is x + 4 = 144 + 4 = 148

Third multiple of 4 is x + 8 = 144 + 8 = 152

**Answer: It means depression**

**Step-by-step explanation:**

**Answer:**

Being sad means your body has entered a mini-clinical state, bringing back grief and usually making you remember past traumas for no existential reason. Sadness can drive you to feeling alone - not isolated, but alone with your inner thoughts. Your interior feeling cold, and like no one is there to put their hand out and help you become warm again. Sadness can drive you to loneliness, and loneliness can lead you to depression. Depression inverts your brain waves and makes you feel useless, no-good, nothing useful, just a joke.

**Answer:**

n= 21

**Step-by-step explanation:**

The equation is simple, you just have to reason the sentence, the quotient of a number, this means that the result of the division is 3.5, and the number has to be divided by 6, so the equation would end up looiking like this:

As 6 is dividing and you want to clear N, you just put it on the other side of the equation multiplying, and you end up with this:

n=6(3.5)

n=21

So your answer for this equation would be n= 6.

n/6 = 3.5

Multiply both sides by 6.

n = 21

Multiply both sides by 6.

n = 21