Polygons can be separated into triangles by drawing all the diagonals that can be drawn from one single vertex. If you look back at the formula, you'll see that n – 2 gives the number of triangles in the polygon, and that number is multiplied by 180, the sum of the measures of all the interior angles in a triangle.

7 0

3 years ago

Huck and Jim are waiting for a raft. The number of rafts floating by over intervals of time is a Poisson process with a rate of

Harrizon [31]

Answer: 0.0081

Step-by-step explanation:

Let X be the number of rafts.

Given : The mean number of rafts floating : $\lambda=0.4$ rafts per day .

Then , for 7 days the number of rafts = $\lambda_1=\lambda\times 7=0.4\times7=2.8$ rafts per day .

The formula to calculate the Poisson distribution is given by :_

$P(X=x)=\dfrac{e^{-\lambda_1}\lambda_1^x}{x!}$

Now, the probability that they will have to wait more than a week is given by :-

$P(X>7)=1-P(X\leq7)\\\\=1-(P(0)+P(1)+P(2)+P(3)+P(4)+P(5)+P(5)+P(6)+P(7))\\\\=1-(\dfrac{e^{-2.8}2.8^{0}}{0!}+\dfrac{e^{-2.8}2.8^{1}}{1!}+\dfrac{e^{-2.8}2.8^{2}}{2!}+\dfrac{e^{-2.8}2.8^{3}}{3!}+\dfrac{e^{-2.8}2.8^{4}}{4!}+\dfrac{e^{-2.8}2.8^{5}}{5!}+\dfrac{e^{-2.8}2.8^{6}}{6!}+\dfrac{e^{-2.8}2.8^{7}}{7!})\\\\=1-0.991869258012=0.008130741988\approx0.0081$

Hence, the required probability : 0.0081

4 0

3 years ago

Solve pls brainliest

viktelen [127]

The answer is 16 square meter
If you want a detailed solution
Tell me

4 0

3 years ago