Answer:
a) 25%
b) 50%
c) 87.5%
Step-by-step explanation:
There are 
number of outcome in total.
a)First and last flips come up heads. There are 4 outcomes here. Probability of the event is 4/16 = 1/4, or 25%.
- HHHH
- HHTH
- HTHH
- HTTH
b) at least 2 Consecutive flips that is heads. There are 8 outcomes. Probability of event is 8/16 = 1/2, or 50%
- HHHH
- HHHT
- HHTH
- HHTT
- THHH
- THHT
- HTHH
- TTHH
c) At least 2 consecutive flips that are the same. There are 14 outcomes. Probability of 14/16 = 7/8, or 87.5%
- HHHH
- HHHT
- HHTH
- HHTT
- THHH
- THHT
- HTHH
- TTHH
- TTTT
- TTTH
- TTHT
- HTTT
- HTTH
- THTT
Answer:
There could be many, my estimate would be around 100.
Step-by-step explanation:
It may sound exaggerated but it can be.
The question ask to determine what is a regular polygon that contains an interior angle of 9000 degree, base on my research, according to the geometrical research, I would say that the said polygon is a 52 sided convex polygon. I hope this would help
Answer:
The length of the segment F'G' is 7.
Step-by-step explanation:
From Linear Algebra we define reflection across the y-axis as follows:
, 
(Eq. 1)
In addition, we get this translation formula from the statement of the problem:
, 
(Eq. 2)
Where:
- Original point, dimensionless.
- Transformed point, dimensionless.
If we know that 
and 
, then we proceed to make all needed operations:
Translation
Reflection
Lastly, we calculate the length of the segment F'G' by Pythagorean Theorem:
![F'G' = \sqrt{(5-5)^{2}+[(-1)-6]^{2}}](https://tex.z-dn.net/?f=F%27G%27%20%3D%20%5Csqrt%7B%285-5%29%5E%7B2%7D%2B%5B%28-1%29-6%5D%5E%7B2%7D%7D)
The length of the segment F'G' is 7.
The density of the book is 3cm
