Given the sizes of the angles as specified in the picture, how large is angle 1?

Mathematics

2 answers:

Dvinal [7]3 years ago

6 0

100 because opposite angles are equal. The angles in the triangle above add up to 80 so the last angle must equal 100. Since angle 1 is directly opposite to that angle, it also equals 100.

mafiozo [28]3 years ago

3 0

Answer:100 because all triangles add up to 180 degrees

Step-by-step explanation:

50+30=80

180-80=100

Answer-100

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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:

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