Angle 4 is going to be 48 degrees
Answer:
Answer is 0.64
Step-by-step explanation:
Given that pdf of x is
![f(x)={k(x−2),for 2≤x](https://tex.z-dn.net/?f=f%28x%29%3D%7Bk%28x%E2%88%922%29%2Cfor%202%E2%89%A4x%3C7%5C%5C%20f%28x%29%3D%7Bk%2812%E2%88%92x%29%2Cfor%207%E2%89%A4x%3C12)
Since total probability is 1 we can use this to find k.
![\int\limits^7_2 {k(x-2)} \, dx +\int\limits^12_7 {k(12-x)} \, dx \\=k\frac{(x-2)^2}{2} -k\frac{(12-x)^2}{2} \\=\frac{k}{2} [(7-2)^2-(2-2)^2-(12-12)^2+(7-12)^2]\\=\frac{k}{2}[25+25]=1\\k =\frac{1}{25}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E7_2%20%7Bk%28x-2%29%7D%20%5C%2C%20dx%20%2B%5Cint%5Climits%5E12_7%20%7Bk%2812-x%29%7D%20%5C%2C%20dx%20%5C%5C%3Dk%5Cfrac%7B%28x-2%29%5E2%7D%7B2%7D%20-k%5Cfrac%7B%2812-x%29%5E2%7D%7B2%7D%20%5C%5C%3D%5Cfrac%7Bk%7D%7B2%7D%20%5B%287-2%29%5E2-%282-2%29%5E2-%2812-12%29%5E2%2B%287-12%29%5E2%5D%5C%5C%3D%5Cfrac%7Bk%7D%7B2%7D%5B25%2B25%5D%3D1%5C%5Ck%20%3D%5Cfrac%7B1%7D%7B25%7D)
the probability that the fire loss is between 5 and 9=![P(5](https://tex.z-dn.net/?f=P%285%3Cx%3C9%29%3D%5Cint%5Climits%5E9_5%20%7Bf%28x%29%7D%20%5C%2C%20dx%20%5C%5C%3D%5Cint%5Climits%5E7_5%20%7Bf%28x%29%7D%20%5C%2C%20dx%2B%5Cint%5Climits%5E9_7%20%7Bf%28x%29%7D%20%5C%2C%20dx%5C%5C%3D%288%2B8%29%5Cfrac%7B1%7D%7B25%7D%20%5C%5C%3D0.64)
Answer:
Each part of the 6 pieces of paper has an angle of 15°
Step-by-step explanation:
Miles has a piece of paper that is 1/4 of a large circle.
A circle has a total angle of 360°.
This means that this piece of paper will have 1/4 of the angle in a circle.
=> 1/4 * 360 = 90°
He cuts the paper into six equal parts from the center point of the circle.
The angle of each of the six pieces of paper will be 1/6 of the angle in the first piece of paper that was cut out.
In other words, each of the 6 pieces of paper has an angle:
1/6 * 90 = 15°
Each part of the 6 pieces of paper has an angle of 15°.
Answer:
The number of each kind of apartment in the building is 130 .
Step-by-step explanation:
Given as :
The total number of floor in a building = 15
The number of apartment on each floor = 26
So, The total number of apartment = 26 × 15 = 390
The number of kinds of apartment in the building is 3 , i.e 1-bedroom , 2-bedroom , 3-bedroom
Let The number of each kind of apartment in building = x
So, According to question
The number of each kind of building = ![\dfrac{\textrm Total number of apartment }{number of kinds of apartment}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20Total%20number%20of%20apartment%20%7D%7Bnumber%20of%20kinds%20of%20apartment%7D)
or, x = ![\frac{390}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B390%7D%7B3%7D)
∴ x = 130
Hence The number of each kind of apartment in the building is 130 . Answer