Answer: x= 3
Step-by-step explanation:
Step-by-step explanation:
sum of all the angles in a triangle is equal to 180°
82 + 70 + (2x + 4) = 180
152 + 2x + 4 = 180
156 + 2x = 180
2x = 180 - 156
2x = 24
x = 12
The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.
The probability of getting exactly three robberies in a day is 0.1607.
<h3>What is meant by poison distribution?</h3>
The Poisson distribution is a discrete probability distribution used in probability theory and statistics to express the likelihood that a given number of events will occur within a specified time or space interval if they occur at a known constant mean rate and regardless of the interval since the last event.
The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.
In the poison distribution a discrete random variable X has the following probability mass function,
, where
is the mean of the distribution and
Given that ![$\lambda=1.8$](https://tex.z-dn.net/?f=%24%5Clambda%3D1.8%24)
The required probability, ![$P(X=3)=\frac{e^{-1.8} .(1.8)^3}{3 !}=0.1607$](https://tex.z-dn.net/?f=%24P%28X%3D3%29%3D%5Cfrac%7Be%5E%7B-1.8%7D%20.%281.8%29%5E3%7D%7B3%20%21%7D%3D0.1607%24)
Therefore, the probability of getting exactly three robberies in a day is = 0.1607.
To learn more about poison distribution refer to:
brainly.com/question/9123296
#SPJ9
What are the values that satisfy the trigonometric equation for: 0
Sinθ + tan(-θ) = 0
Answer:
Area: 3098 m^2
Perimeter: 356 m
Step-by-step explanation:
<h2>AREA</h2>
First find the area of the indoor sports park. Start by finding the area of the two rectangles using length times width (as shown in the first attachment).
Find the area of the half circle by finding the area of a circle (
) then dividing by 2.
Rect. 1 + Rect. 2 + Circle = Area
2244 + 400 + 908 (div'd by 2) = 3098 m^2
<h2>PERIMETER</h2>
Don't know what happened to the image but you get the idea.
The perimeter of the rectangles were found by adding up all the side lengths, and the perimeter (circumference) of the circle was found by using
.
Rect. 1 + Rect. 2 + Circle = Perimeter
202 + 100 + 107 (div'd by 2) = 355.5 (or 356) m