Solution :
It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :
1. 
2. 
Now consider,
⇒ 
⇒ 
⇒ 
⇒ 
= 0.2
Therefore, the value of T is 0.2
Thus, option (c) is correct.
Answer: 70ᴼ
Step-by-step explanation:
The triangles are vertical so their angle measures are congruent.
The angles of a triangle add to equal 180ᴼ.
55 + 55 = 110
180 - 110 = 70
Answer:
F = 1.25
Step-by-step explanation:
All you would have to do is cross multiply, so our equations starts at 
. We would now multiply F by 8 and 2 by 5. We now have 8F = 10. We can now divide both sides of the equation by 8 to get F = 1.25.
Answer:
See below ~
Step-by-step explanation:
Given :
<u>QRSTU ~ FGCDE</u>
Finding the scale factor :
- Take two corresponding sides in proportion
- RS : GC
- 40 : 12
- <u>10 : 3</u>
Applying the scale factor to find the missing sides :
- FG :
- QR : FG = 10 : 3
- 30/FG = 10/3
- FG = 30/10 x 3
- FG = 3 x 3
- <u>FG = 9</u>
- CD :
- ST : CD = 10 : 3
- 40/CD = 10/3
- CD = 40/10 x 3
- CD = 4 x 3
- <u>CD = 12</u>
- EF :
- UQ : EF = 10 : 3
- 30/EF = 10/3
- EF = 30/10 x 3
- EF = 3 x 3
- <u>EF = 9</u>
She will take 
hours or 13 minutes and 38 secs.
