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
The answer would be am because it says 1/4 to midday and midday is 12 and 12 is when pm starts so it would be am.
Hope this helps! :)
Answer:
h = 60 ; x = 25
Step-by-step explanation:
You are going to want to use Pythagorean Theorem to solve these.
Pythagorean Theorem: a² + b² = c²
h² + 144² = 156²
h² + 20736 = 24336
h² = 3600
h = 60
x² + 60² = 65²
x² + 3600 = 4225
x² = 625
x = 25
A = 84.825 because the area of a circle is 113.1 and 1/4 of it is missing.
Well, we are told that in the beginning, it has traveled 30km vertically, so do not forget to add that on at the end.
Next it says that it traveled 40km 30 degrees from vertical, so we set up a sin equation to solve for the missing side, n:
sin(angle)= opposite/hypotenuse:
sin(30) = n/40
40sin30=n
n=20km
Then it says at an angle of 45 degrees, it goes 100km. This means that we are given the hypotenuse of a right triangle, and we need to find the side that goes up and down. We shall call this length x.
We know that the angle opposite x is 45 degrees.
So, we will use sin to solve for x:
sin(angle)= opposite/hypotenuse
sin45= x/100
100sin45=x
x=70.711km
But remember, I said not to forget about that 30km from the very beginning? So we add up all of our vertical heights:
30km + 20km+ 70.711km = 120.711km
