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aliya0001 [1]
3 years ago
14

2. 7 2/6 + 1/12 = M

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0

Answer:

2 a 3 d 4 c 5 b

Step-by-step explanation:

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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
Write a real world problem for: 80-3x=53
Oxana [17]

Answer:

Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?

Step-by-step explanation:

In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.

6 0
3 years ago
Please help with 4-9!!!
olya-2409 [2.1K]

sdfsdf

4) \frac{3m+15}{2} = 22.5

Multiply by 2 on both sides

3m + 15 = 45

Subtract both sides by 15

3m = 30

Divide both sides by 3

so m = 3

5) 21= \frac{q+35}{8}

Multiply both sides by 8

168 = q + 35

Subtract both sides by 35

q = 133

6) 14 + \frac{4z}{-11} = 66

Subtract 14 from both sides

\frac{4z}{-11} = 52

multiply by -11 on both sides

4x = 572

Divide both sides by 4

x= 143

7) \frac{3}{5} c - 6 = 9

Add 6 on both sides

\frac{3}{5} c  = 15

Multiply both sides by 5

3c = 75

Divide both sides by 3

c = 25

8) \frac{t}{-2} + 17 = -9

Subtract both sides by 17

\frac{t}{-2} =26

Multiply both sides by -2

t = -52

9) -6 = \frac{5p-(-2)}{-7}

Multiply both sides by -7

42= 5p + 2

subtract 2 from both sides

40 = 5p

Divide both sides by 5

so p = 8






6 0
3 years ago
Read 2 more answers
A line passes through the points
masha68 [24]

Answer:

y=-2x+7

enter the point into point slope form to find the slope and then use one of the points in point slope form  and rearrange it to have y by itself

4 0
3 years ago
Needs to be turned in soon pls help!!​
zhuklara [117]

Answer:

Step-by-step explanation:

12\sqrt{11}=\sqrt{11*12*12}\\\\=\sqrt{1584}

6 0
3 years ago
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