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Digiron [165]
2 years ago
9

Plz help will give u braniest, solve all

Mathematics
1 answer:
Stells [14]2 years ago
5 0

Answer:

1. 1 3/5

2. 3/12 or 1/4

and I think the third slide is the same picture of the first slide picture. (sorry if wrong)

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The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me
Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

Step-by-step explanation:

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

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is P(X = 2). So:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0
3 years ago
Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle?
Artist 52 [7]

Answer:c

options A  and B

Step-by-step explanation:

the ratio between the lengths of the two legs of a 30-60-90 triangle

General ration of 30-6- 90 degrees triangle is

x : xsqrt(3) : 2x

When x=1 the ratio becomes 1 : 1 sqrt(3)

when x= 2sqrt(3) the ratio becomes

It becomes

Two sides of 30-60-90 triangle cannot be equal

so option c  and option D are not possible

sqrt(2) is also not possible  because we have sqrt(3) in general ratio

PLS MARK ME AS BRAINLIEST.

5 0
1 year ago
What is the value of the expression below when X=5 6x+5
Molodets [167]

Answer:

35

Step-by-step explanation:

6 x 5 = 30

30 + 5 = 35

6 0
3 years ago
Read 2 more answers
Multiply.<br><br> 3,672 × 4<br> Enter your answer
HACTEHA [7]
The answer is 14,688

8 0
2 years ago
Read 2 more answers
Exponentiation is the raising of one number to the power of another. This operation is performed using two asterisks **. Let's u
Harlamova29_29 [7]

In math, Exponentiation refers to the operation of raising one quantity to the power of another. See the program running the exponentiation below.

<h3>What is the required code?</h3>

The code is given below:

number_of_days = 30

amount_after_30days = 0.01 * (2 ** number_of_days)

# print the amount

print(amount_after_30days)

Learn more about exponentiation at;
brainly.com/question/11975096
#SPJ1

4 0
2 years ago
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