Answer:
Step-by-step explanation:
The angle of a line is 180 degrees. A right angle is 90 degrees, and the given angle is 55 degrees. All you have to do is add 90 and 55, and subtract that sum from 180.
Answer:
9.364 is the expected number of points.
we can approximate this to 10 points if we want a whole number
Step-by-step explanation:
We have these variables:
[0,5,10,15]
P(x= 0) = p(y>20)+p(y<-20) = 2p(y>20)
P(x=5) = p(-20<=y<=10)+p(10<=y<=20) = 2p(10<=y<=20)
P(x=10) = p(-10<=y<=-3)+p(3<=y<=10) = 2p(3<=y<=10)
P(x=15) = p(-3<=y<=3) = 2p(0<=y<=3)
Z = y/10
Therefore
P(x= 0) = 2(y>20)
= 2p(z>2) = 2(1-p<=2)
= 2(1-0.9772)
= 0.0456
P(x= 5)
= 2p(10<=y<=20)
= 2p(1<=z<=2)
= 2(0.9772-0.8413)
= 0.2718
P(x= 10)
= 2p(3<=y<=10)
= 2p(0.3<=z<=1)
= 2(0.8413-0.6179)
= 0.4468
P(x = 15)
= P(0.6179-0.3821)
= 0.2358
To get expected value of Y
0(0.0456)+5(0.2718)+10(0.4468)+15(0.2358)
= 1.359 + 4.468 + 3.537
= 9.364
E[Y] = 9.364
Hello,

Adding member by member, we have

if n=100 sum
Step-by-step explanation:
<h2>
This problem bothers on the mensuration of flat shapes, composite rectangle. </h2>
The correct method for finding the area of a composite rectangle with a large rectangle and a small rectangle connected on the right side are highlighted below.
also see attached the rough sketch of the two rectangles.
- Decompose the figure into two rectangles and add the areas
- Extend the top and rightmost sides to make a larger rectangle, find its area, and then subtract the area of the removed corner.
- Decompose the figure into two rectangles, find their sum, and then subtract the area of the removed corner.
The answer to 36 + 54 is 90